diff --git a/Examples/Image/Miscellaneous/CIFAR-10/03_ProjWeightsGen.py b/Examples/Image/Miscellaneous/CIFAR-10/03_ProjWeightsGen.py
new file mode 100644
index 000000000..a208adcbc
--- /dev/null
+++ b/Examples/Image/Miscellaneous/CIFAR-10/03_ProjWeightsGen.py
@@ -0,0 +1,12 @@
+import sys
+import numpy as np
+
+def writeConvWeights(fname, cmapIn):
+    cmapOut = 2 * cmapIn
+    w = np.eye(cmapOut, cmapIn)
+    np.savetxt(fname, w, fmt = '%d', delimiter = ' ')
+
+if __name__ == "__main__":
+    cmapIn = int(sys.argv[1])
+    fname = sys.argv[2]
+    writeConvWeights(fname, cmapIn)
\ No newline at end of file
diff --git a/Examples/Image/Miscellaneous/CIFAR-10/03_ResNet.config b/Examples/Image/Miscellaneous/CIFAR-10/03_ResNet.config
index 3465ce2db..7b8d259d4 100644
--- a/Examples/Image/Miscellaneous/CIFAR-10/03_ResNet.config
+++ b/Examples/Image/Miscellaneous/CIFAR-10/03_ResNet.config
@@ -17,6 +17,9 @@ command=Train:AddBNEval:Test
 stderr=$OutputDir$/03_ResNet
 traceLevel=1
 
+Proj16to32Filename = $ConfigDir$/16to32.txt
+Proj32to64Filename = $ConfigDir$/32to64.txt
+
 Train=[
     action=train
     modelPath=$ModelDir$/03_ResNet
@@ -39,7 +42,7 @@ Train=[
             distributedMBReading=true
             parallelizationStartEpoch=1
             DataParallelSGD=[
-                gradientBits=32
+                gradientBits=1
             ]
         ]
         
diff --git a/Examples/Image/Miscellaneous/CIFAR-10/03_ResNet.ndl b/Examples/Image/Miscellaneous/CIFAR-10/03_ResNet.ndl
index 8ff6af0ca..013b0cfb8 100644
--- a/Examples/Image/Miscellaneous/CIFAR-10/03_ResNet.ndl
+++ b/Examples/Image/Miscellaneous/CIFAR-10/03_ResNet.ndl
@@ -32,20 +32,22 @@ DNN=[
     cMap1 = 16
     conv1 = ConvBNReLULayer2(featScaled, cMap1, 27, kW, kH, hStride1, vStride1, convWScale, convBValue, scValue)
 
-		rn1_1 = ResNetNode2(conv1, cMap1, 144, kW, kH, convWScale, convBValue, scValue)
-		rn1_2 = ResNetNode2(rn1_1, cMap1, 144, kW, kH, convWScale, convBValue, scValue)
-		rn1_3 = ResNetNode2(rn1_2, cMap1, 144, kW, kH, convWScale, convBValue, scValue)
+    rn1_1 = ResNetNode2(conv1, cMap1, 144, kW, kH, convWScale, convBValue, scValue)
+    rn1_2 = ResNetNode2(rn1_1, cMap1, 144, kW, kH, convWScale, convBValue, scValue)
+    rn1_3 = ResNetNode2(rn1_2, cMap1, 144, kW, kH, convWScale, convBValue, scValue)
 
     cMap2 = 32
-		rn2_1 = ResNetNode2Reduce(rn1_3, cMap2, 144, 288, 16384, 8192, kW, kH, convWScale, convBValue, scValue)
-		rn2_2 = ResNetNode2(rn2_1, cMap2, 288, kW, kH, convWScale, convBValue, scValue)
-		rn2_3 = ResNetNode2(rn2_2, cMap2, 288, kW, kH, convWScale, convBValue, scValue)
+    rn2_1_Wproj = Parameter(cMap2, cMap1, init = fromFile, initFromFilePath = "$Proj16to32Filename$", needGradient = false)
+    rn2_1 = ResNetNode2Conv(rn1_3, cMap2, 144, 288, kW, kH, convWScale, convBValue, scValue, rn2_1_Wproj)
+    rn2_2 = ResNetNode2(rn2_1, cMap2, 288, kW, kH, convWScale, convBValue, scValue)
+    rn2_3 = ResNetNode2(rn2_2, cMap2, 288, kW, kH, convWScale, convBValue, scValue)
 
     cMap3 = 64
-		rn3_1 = ResNetNode2Reduce(rn2_3, cMap3, 288, 576, 8192, 4096, kW, kH, convWScale, convBValue, scValue)
-		rn3_2 = ResNetNode2(rn3_1, cMap3, 576, kW, kH, convWScale, convBValue, scValue)
-		rn3_3 = ResNetNode2(rn3_2, cMap3, 576, kW, kH, convWScale, convBValue, scValue)
-		
+    rn3_1_Wproj = Parameter(cMap3, cMap2, init = fromFile, initFromFilePath = "$Proj32to64Filename$", needGradient = false)
+    rn3_1 = ResNetNode2Conv(rn2_3, cMap3, 288, 576, kW, kH, convWScale, convBValue, scValue, rn3_1_Wproj)
+    rn3_2 = ResNetNode2(rn3_1, cMap3, 576, kW, kH, convWScale, convBValue, scValue)
+    rn3_3 = ResNetNode2(rn3_2, cMap3, 576, kW, kH, convWScale, convBValue, scValue)
+                
     # pool
     poolW = 3
     poolH = 3
diff --git a/Examples/Image/Miscellaneous/CIFAR-10/16to32.txt b/Examples/Image/Miscellaneous/CIFAR-10/16to32.txt
new file mode 100644
index 000000000..7742979aa
--- /dev/null
+++ b/Examples/Image/Miscellaneous/CIFAR-10/16to32.txt
@@ -0,0 +1,32 @@
+1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
diff --git a/Examples/Image/Miscellaneous/CIFAR-10/32to64.txt b/Examples/Image/Miscellaneous/CIFAR-10/32to64.txt
new file mode 100644
index 000000000..0c78cca62
--- /dev/null
+++ b/Examples/Image/Miscellaneous/CIFAR-10/32to64.txt
@@ -0,0 +1,64 @@
+1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
diff --git a/Examples/Image/Miscellaneous/CIFAR-10/Macros.ndl b/Examples/Image/Miscellaneous/CIFAR-10/Macros.ndl
index c2760cb35..a7813c278 100644
--- a/Examples/Image/Miscellaneous/CIFAR-10/Macros.ndl
+++ b/Examples/Image/Miscellaneous/CIFAR-10/Macros.ndl
@@ -28,7 +28,7 @@ ConvBNReLULayer2(inp, outMap, inWCount, kW, kH, hStride, vStride, wScale, bValue
     isd = Parameter(outMap, 1, init = fixedValue, value = 0, needGradient = false)
     
     c = Convolution(W, inp, kW, kH, outMap, hStride, vStride, zeroPadding = true)
-    bn = BatchNormalization(c, sc, b, m, isd, eval = false, spatial = true)
+    bn = BatchNormalization(c, sc, b, m, isd, eval = false, spatial = true, expAvgFactor = 1.0)
     y = RectifiedLinear(bn);
 }
 
@@ -41,7 +41,7 @@ ResNetNode2(inp, outMap, inWCount, kW, kH, wScale, bValue, scValue)
     isd1 = Parameter(outMap, 1, init = fixedValue, value = 0, needGradient = false)
     
     c1 = Convolution(W1, inp, kW, kH, outMap, 1, 1, zeroPadding = true)
-    bn1 = BatchNormalization(c1, sc1, b1, m1, isd1, eval = false, spatial = true)
+    bn1 = BatchNormalization(c1, sc1, b1, m1, isd1, eval = false, spatial = true, expAvgFactor = 1.0)
     y1 = RectifiedLinear(bn1);
     
     W2 = Parameter(outMap, inWCount, init = Gaussian, initValueScale = wScale)
@@ -51,12 +51,12 @@ ResNetNode2(inp, outMap, inWCount, kW, kH, wScale, bValue, scValue)
     isd2 = Parameter(outMap, 1, init = fixedValue, value = 0, needGradient = false)
     
     c2 = Convolution(W2, y1, kW, kH, outMap, 1, 1, zeroPadding = true)
-    bn2 = BatchNormalization(c2, sc2, b2, m2, isd2, eval = false, spatial = true)
+    bn2 = BatchNormalization(c2, sc2, b2, m2, isd2, eval = false, spatial = true, expAvgFactor = 1.0)
     p = Plus(bn2, inp)
     y2 = RectifiedLinear(p);
 }
 
-ResNetNode2Reduce(inp, outMap, inWCount, wCount, inDim, outDim, kW, kH, wScale, bValue, scValue)
+ResNetNode2Conv(inp, outMap, inWCount, wCount, kW, kH, wScale, bValue, scValue, Wproj)
 {
     W1 = Parameter(outMap, inWCount, init = Gaussian, initValueScale = wScale)
     b1 = Parameter(outMap, 1, init = fixedValue, value = bValue)
@@ -65,7 +65,7 @@ ResNetNode2Reduce(inp, outMap, inWCount, wCount, inDim, outDim, kW, kH, wScale,
     isd1 = Parameter(outMap, 1, init = fixedValue, value = 0, needGradient = false)
     
     c1 = Convolution(W1, inp, kW, kH, outMap, 2, 2, zeroPadding = true)
-    bn1 = BatchNormalization(c1, sc1, b1, m1, isd1, eval = false, spatial = true)
+    bn1 = BatchNormalization(c1, sc1, b1, m1, isd1, eval = false, spatial = true, expAvgFactor = 1.0)
     y1 = RectifiedLinear(bn1);
     
     W2 = Parameter(outMap, wCount, init = Gaussian, initValueScale = wScale)
@@ -75,10 +75,10 @@ ResNetNode2Reduce(inp, outMap, inWCount, wCount, inDim, outDim, kW, kH, wScale,
     isd2 = Parameter(outMap, 1, init = fixedValue, value = 0, needGradient = false)
     
     c2 = Convolution(W2, y1, kW, kH, outMap, 1, 1, zeroPadding = true)
-    bn2 = BatchNormalization(c2, sc2, b2, m2, isd2, eval = false, spatial = true)
-    WP = Parameter(outDim, inDim)
-    t = Times(WP, inp, init = Gaussian, initValueScale = wScale)
-    p = Plus(bn2, t)
+    bn2 = BatchNormalization(c2, sc2, b2, m2, isd2, eval = false, spatial = true, expAvgFactor = 1.0)
+    
+    cproj = Convolution(Wproj, inp, 1, 1, outMap, 2, 2, zeroPadding = false)
+    p = Plus(bn2, cproj)
     y2 = RectifiedLinear(p);
 }
 
diff --git a/Examples/Image/Miscellaneous/ImageNet/ResNet/1024to2048.txt b/Examples/Image/Miscellaneous/ImageNet/ResNet/1024to2048.txt
new file mode 100644
index 000000000..0bb12f721
--- /dev/null
+++ b/Examples/Image/Miscellaneous/ImageNet/ResNet/1024to2048.txt
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diff --git a/Examples/Image/Miscellaneous/ImageNet/ResNet/Macros.ndl b/Examples/Image/Miscellaneous/ImageNet/ResNet/Macros.ndl
new file mode 100644
index 000000000..14bf146d7
--- /dev/null
+++ b/Examples/Image/Miscellaneous/ImageNet/ResNet/Macros.ndl
@@ -0,0 +1,152 @@
+ConvBNReLULayer(inp, outMap, inWCount, kW, kH, hStride, vStride, wScale, bValue, scValue)
+{
+    W = Parameter(outMap, inWCount, init = Gaussian, initValueScale = wScale)
+    b = Parameter(outMap, 1, init = fixedValue, value = bValue)
+    sc = Parameter(outMap, 1, init = Gaussian, initValueScale = scValue)
+    m = Parameter(outMap, 1, init = fixedValue, value = 0, needGradient = false)
+    isd = Parameter(outMap, 1, init = fixedValue, value = 0, needGradient = false)
+    
+    c = Convolution(W, inp, kW, kH, outMap, hStride, vStride, zeroPadding = true)
+    bn = BatchNormalization(c, sc, b, m, isd, eval = false, spatial = true, expAvgFactor = 1.0)
+    y = RectifiedLinear(bn);
+}
+
+# Standard building block for ResNet.
+ResNetNode2(inp, outMap, inWCount, kW, kH, wScale, bValue, scValue)
+{
+    W1 = Parameter(outMap, inWCount, init = Gaussian, initValueScale = wScale)
+    b1 = Parameter(outMap, 1, init = fixedValue, value = bValue)
+    sc1 = Parameter(outMap, 1, init = Gaussian, initValueScale = scValue)
+    m1 = Parameter(outMap, 1, init = fixedValue, value = 0, needGradient = false)
+    isd1 = Parameter(outMap, 1, init = fixedValue, value = 0, needGradient = false)
+    
+    c1 = Convolution(W1, inp, kW, kH, outMap, 1, 1, zeroPadding = true)
+    bn1 = BatchNormalization(c1, sc1, b1, m1, isd1, eval = false, spatial = true, expAvgFactor = 1.0)
+    y1 = RectifiedLinear(bn1);
+    
+    W2 = Parameter(outMap, inWCount, init = Gaussian, initValueScale = wScale)
+    b2 = Parameter(outMap, 1, init = fixedValue, value = bValue)
+    sc2 = Parameter(outMap, 1, init = Gaussian, initValueScale = scValue)
+    m2 = Parameter(outMap, 1, init = fixedValue, value = 0, needGradient = false)
+    isd2 = Parameter(outMap, 1, init = fixedValue, value = 0, needGradient = false)
+    
+    c2 = Convolution(W2, y1, kW, kH, outMap, 1, 1, zeroPadding = true)
+    bn2 = BatchNormalization(c2, sc2, b2, m2, isd2, eval = false, spatial = true, expAvgFactor = 1.0)
+    p = Plus(bn2, inp)
+    y2 = RectifiedLinear(p);
+}
+
+# Standard building block for ResNet with padding.
+ResNetNode2Conv(inp, outMap, inWCount, wCount, kW, kH, wScale, bValue, scValue, Wproj)
+{
+    W1 = Parameter(outMap, inWCount, init = Gaussian, initValueScale = wScale)
+    b1 = Parameter(outMap, 1, init = fixedValue, value = bValue)
+    sc1 = Parameter(outMap, 1, init = Gaussian, initValueScale = scValue)
+    m1 = Parameter(outMap, 1, init = fixedValue, value = 0, needGradient = false)
+    isd1 = Parameter(outMap, 1, init = fixedValue, value = 0, needGradient = false)
+    
+    c1 = Convolution(W1, inp, kW, kH, outMap, 2, 2, zeroPadding = true)
+    bn1 = BatchNormalization(c1, sc1, b1, m1, isd1, eval = false, spatial = true, expAvgFactor = 1.0)
+    y1 = RectifiedLinear(bn1);
+    
+    W2 = Parameter(outMap, wCount, init = Gaussian, initValueScale = wScale)
+    b2 = Parameter(outMap, 1, init = fixedValue, value = bValue)
+    sc2 = Parameter(outMap, 1, init = Gaussian, initValueScale = scValue)
+    m2 = Parameter(outMap, 1, init = fixedValue, value = 0, needGradient = false)
+    isd2 = Parameter(outMap, 1, init = fixedValue, value = 0, needGradient = false)
+    
+    c2 = Convolution(W2, y1, kW, kH, outMap, 1, 1, zeroPadding = true)
+    bn2 = BatchNormalization(c2, sc2, b2, m2, isd2, eval = false, spatial = true, expAvgFactor = 1.0)
+    
+    cproj = Convolution(Wproj, inp, 1, 1, outMap, 2, 2, zeroPadding = false)
+    p = Plus(bn2, cproj)
+    y2 = RectifiedLinear(p);
+}
+
+# Bottleneck building block for ResNet.
+ResNetNode3(inp, inMap, convMap, outMap, convWCount, wScale, bValue, scValue)
+{
+    # 1x1 reducing convolution.
+    W1 = Parameter(convMap, inMap, init = Gaussian, initValueScale = wScale)
+    b1 = Parameter(convMap, 1, init = fixedValue, value = bValue)
+    sc1 = Parameter(convMap, 1, init = Gaussian, initValueScale = scValue)
+    m1 = Parameter(convMap, 1, init = fixedValue, value = 0, needGradient = false)
+    isd1 = Parameter(convMap, 1, init = fixedValue, value = 0, needGradient = false)
+    
+    c1 = Convolution(W1, inp, 1, 1, convMap, 1, 1, zeroPadding = false)
+    bn1 = BatchNormalization(c1, sc1, b1, m1, isd1, eval = false, spatial = true)
+    y1 = RectifiedLinear(bn1);
+
+    # 3x3 convolution.
+    W2 = Parameter(convMap, convWCount, init = Gaussian, initValueScale = wScale)
+    b2 = Parameter(convMap, 1, init = fixedValue, value = bValue)
+    sc2 = Parameter(convMap, 1, init = Gaussian, initValueScale = scValue)
+    m2 = Parameter(convMap, 1, init = fixedValue, value = 0, needGradient = false)
+    isd2 = Parameter(convMap, 1, init = fixedValue, value = 0, needGradient = false)
+    
+    c2 = Convolution(W2, y1, 3, 3, convMap, 1, 1, zeroPadding = true)
+    bn2 = BatchNormalization(c2, sc2, b2, m2, isd2, eval = false, spatial = true, expAvgFactor = 1.0)
+    y2 = RectifiedLinear(bn2);
+    
+    # 1x1 expanding convolution.
+    W3 = Parameter(outMap, convMap, init = Gaussian, initValueScale = wScale)
+    b3 = Parameter(outMap, 1, init = fixedValue, value = bValue)
+    sc3 = Parameter(outMap, 1, init = Gaussian, initValueScale = scValue)
+    m3 = Parameter(outMap, 1, init = fixedValue, value = 0, needGradient = false)
+    isd3 = Parameter(outMap, 1, init = fixedValue, value = 0, needGradient = false)
+    
+    c3 = Convolution(W3, y2, 1, 1, outMap, 1, 1, zeroPadding = false)
+    bn3 = BatchNormalization(c3, sc3, b3, m3, isd3, eval = false, spatial = true)
+    
+    p = Plus(bn3, inp)
+    y3 = RectifiedLinear(p);
+}
+
+ResNetNode3Inc(inp, inMap, convMap, outMap, convWCount, wScale, bValue, scValue, wProj)
+{
+    # 1x1 reducing convolution.
+    W1 = Parameter(convMap, inMap, init = Gaussian, initValueScale = wScale)
+    b1 = Parameter(convMap, 1, init = fixedValue, value = bValue)
+    sc1 = Parameter(convMap, 1, init = Gaussian, initValueScale = scValue)
+    m1 = Parameter(convMap, 1, init = fixedValue, value = 0, needGradient = false)
+    isd1 = Parameter(convMap, 1, init = fixedValue, value = 0, needGradient = false)
+    
+    c1 = Convolution(W1, inp, 1, 1, convMap, 1, 1, zeroPadding = false)
+    bn1 = BatchNormalization(c1, sc1, b1, m1, isd1, eval = false, spatial = true)
+    y1 = RectifiedLinear(bn1);
+
+    # 3x3 convolution.
+    W2 = Parameter(convMap, convWCount, init = Gaussian, initValueScale = wScale)
+    b2 = Parameter(convMap, 1, init = fixedValue, value = bValue)
+    sc2 = Parameter(convMap, 1, init = Gaussian, initValueScale = scValue)
+    m2 = Parameter(convMap, 1, init = fixedValue, value = 0, needGradient = false)
+    isd2 = Parameter(convMap, 1, init = fixedValue, value = 0, needGradient = false)
+    
+    c2 = Convolution(W2, y1, 3, 3, convMap, 2, 2, zeroPadding = true)
+    bn2 = BatchNormalization(c2, sc2, b2, m2, isd2, eval = false, spatial = true, expAvgFactor = 1.0)
+    y2 = RectifiedLinear(bn2);
+    
+    # 1x1 expanding convolution.
+    W3 = Parameter(outMap, convMap, init = Gaussian, initValueScale = wScale)
+    b3 = Parameter(outMap, 1, init = fixedValue, value = bValue)
+    sc3 = Parameter(outMap, 1, init = Gaussian, initValueScale = scValue)
+    m3 = Parameter(outMap, 1, init = fixedValue, value = 0, needGradient = false)
+    isd3 = Parameter(outMap, 1, init = fixedValue, value = 0, needGradient = false)
+    
+    c3 = Convolution(W3, y2, 1, 1, outMap, 1, 1, zeroPadding = false)
+    bn3 = BatchNormalization(c3, sc3, b3, m3, isd3, eval = false, spatial = true)
+    
+    # Increasing input dimension convolution
+    cProj = Convolution(wProj, inp, 1, 1, outMap, 2, 2, zeroPadding = false)
+    
+    p = Plus(bn3, cProj)
+    y3 = RectifiedLinear(p);
+}
+
+DnnLayer(hiddenDim, labelDim, x, wScale, bValue)
+{
+    W = Parameter(labelDim, hiddenDim, init = Gaussian, initValueScale = wScale)
+    b = Parameter(labelDim, init = fixedValue, value = bValue)
+    t = Times(W, x)
+    z = Plus(t, b)
+}
diff --git a/Examples/Image/Miscellaneous/ImageNet/ResNet/ProjWeightsGen.py b/Examples/Image/Miscellaneous/ImageNet/ResNet/ProjWeightsGen.py
new file mode 100644
index 000000000..555554fbf
--- /dev/null
+++ b/Examples/Image/Miscellaneous/ImageNet/ResNet/ProjWeightsGen.py
@@ -0,0 +1,12 @@
+import sys
+import numpy as np
+
+def writeConvWeights(fname, cmapIn, cmapOut):
+    w = np.eye(cmapOut, cmapIn)
+    np.savetxt(fname, w, fmt = '%d', delimiter = ' ')
+
+if __name__ == "__main__":
+    cmapIn = int(sys.argv[1])
+    cmapOut = int(sys.argv[2])
+    fname = sys.argv[3]
+    writeConvWeights(fname, cmapIn, cmapOut)
\ No newline at end of file
diff --git a/Examples/Image/Miscellaneous/ImageNet/ResNet/ResNet_152.config b/Examples/Image/Miscellaneous/ImageNet/ResNet/ResNet_152.config
new file mode 100644
index 000000000..4a8078b20
--- /dev/null
+++ b/Examples/Image/Miscellaneous/ImageNet/ResNet/ResNet_152.config
@@ -0,0 +1,123 @@
+RootDir = "."
+
+ConfigDir = "$RootDir$"
+DataDir = "$RootDir$"
+OutputDir = "$RootDir$/Output"
+ModelDir = "$OutputDir$/Models"
+
+ndlMacros=$ConfigDir$/Macros.ndl
+
+precision=float
+deviceId=Auto
+
+command=Train:AddTop5Eval:Test
+
+parallelTrain=false
+
+stderr=$OutputDir$/ResNet_152
+traceLevel=1
+
+Proj64to256Filename = $ConfigDir$/64to256.txt
+Proj256to512Filename = $ConfigDir$/256to512.txt
+Proj512to1024Filename = $ConfigDir$/512to1024.txt
+Proj1024to2048Filename = $ConfigDir$/1024to2048.txt
+
+Train=[
+    action=train
+    modelPath=$ModelDir$/ResNet_152
+
+     NDLNetworkBuilder=[
+        networkDescription=$ConfigDir$/ResNet_152.ndl
+    ]
+    
+    SGD=[
+        epochSize=0
+        minibatchSize=2
+        learningRatesPerMB=0.1*20:0.03*10:0.01*30:0.003
+        momentumPerMB=0.9
+        maxEpochs=100
+        gradUpdateType=None
+        L2RegWeight=0.0001
+        dropoutRate=0
+        
+        ParallelTrain=[
+            parallelizationMethod=DataParallelSGD
+            distributedMBReading=true
+            parallelizationStartEpoch=1
+            DataParallelSGD=[
+                gradientBits=1
+            ]
+        ]
+        
+        numMBsToShowResult=100
+    ]
+    
+    reader=[
+        readerType=ImageReader
+        # Map file which maps images to labels using the following format:
+        # <full path to image><tab><numerical label (0-based class id)>
+        # Example:
+        # C:\Data\ImageNet\2012\train\n01440764\n01440764_10026.JPEG<tab>0
+        file=$DataDir$/train_map.txt
+        # Randomize images before every epoch. Possible values: None, Auto. Default: Auto.
+        randomize=Auto
+        features=[
+            # Below are the required parameters.
+            width=224
+            height=224
+            channels=3
+            # Below are the optional parameters.
+            # Possible values: Center, Random. Default: Center
+            cropType=Random
+            # Horizontal random flip, will be enabled by default if cropType=Random
+            #hflip=0
+            # Crop scale ratio. Examples: cropRatio=0.9, cropRatio=0.7:0.9. Default: 1.
+            cropRatio=0.875
+            # Crop scale ratio jitter type.
+            # Possible values: None, UniRatio, UniLength, UniArea. Default: UniRatio
+            jitterType=UniRatio
+            # Interpolation to use when scaling image to width x height size.
+            # Possible values: nearest, linear, cubic, lanczos. Default: linear.
+            interpolations=Linear
+            # Stores mean values for each pixel in OpenCV matrix XML format.
+            meanFile=$ConfigDir$/ImageNet1K_mean.xml
+        ]
+        labels=[
+            labelDim=1000
+        ]
+    ]    
+]
+
+AddTop5Eval=[    
+    action=edit
+    CurModel=$ModelDir$/ResNet_152
+    NewModel=$ModelDir$/ResNet_152.Top5
+    editPath=$ConfigDir$/add_top5_layer.mel
+]
+
+Test=[
+    action=test
+    modelPath=$ModelDir$/ResNet_152.Top5
+    # Set minibatch size for testing.
+    minibatchSize=128
+
+     NDLNetworkBuilder=[
+        networkDescription=$ConfigDir$/ResNet_152.ndl
+    ]
+    
+    reader=[
+        readerType=ImageReader
+        file=$DataDir$/val_map.txt
+        randomize=None
+        features=[
+            width=224
+            height=224
+            channels=3
+            cropType=Center
+            meanFile=$ConfigDir$/ImageNet1K_mean.xml
+        ]
+        labels=[
+            labelDim=1000
+        ]
+    ]    
+]
diff --git a/Examples/Image/Miscellaneous/ImageNet/ResNet/ResNet_152.ndl b/Examples/Image/Miscellaneous/ImageNet/ResNet/ResNet_152.ndl
new file mode 100644
index 000000000..cac0851b9
--- /dev/null
+++ b/Examples/Image/Miscellaneous/ImageNet/ResNet/ResNet_152.ndl
@@ -0,0 +1,112 @@
+load=ndlMacros
+run=DNN
+
+ndlMacros = [
+    ImageW = 224
+    ImageH = 224
+    ImageC = 3
+    LabelDim = 1000
+
+    features = ImageInput(ImageW, ImageH, ImageC, tag = feature)
+    featOffs = Const(0, rows = 150528)
+    featScaled = Plus(features, featOffs)
+    labels = Input(LabelDim, tag = label)
+    
+    # Kernels width and height.
+    kW = 3
+    kH = 3
+    # Kernel stride.
+    hs = 1
+    vs = 1
+    
+    # Pooling settings.
+    poolW = 2
+    poolH = 2
+    poolhs = 2
+    poolvs = 2
+    
+    # Initial parameter values.
+    convWScale = 7.07
+    convBValue = 0
+    scValue = 0.03
+    fcWScale = 3.0
+    fcBValue = 1
+]
+
+DNN=[
+    cMap1 = 64
+    cMap2 = 128
+    cMap3 = 256
+    cMap4 = 512
+    cMap5 = 1024
+    cMap6 = 2048
+    
+    conv1 = ConvBNReLULayer(featScaled, cMap1, 147, 7, 7, 2, 2, convWScale, convBValue, scValue)
+    pool1 = MaxPooling(conv1, poolW, poolH, poolhs, poolvs)
+    
+    rn1_1_Wproj = Parameter(cMap3, cMap1, init = fromFile, initFromFilePath = "$Proj64to256Filename$", needGradient = false)
+    rn1_1 = ResNetNode3Inc(pool1, cMap1, cMap1, cMap3, 576, convWScale, convBValue, scValue, rn1_1_Wproj)
+    rn1_2 = ResNetNode3(rn1_1, cMap3, cMap1, cMap3, 576, convWScale, convBValue, scValue)
+    rn1_3 = ResNetNode3(rn1_2, cMap3, cMap1, cMap3, 576, convWScale, convBValue, scValue)
+
+    rn2_1_Wproj = Parameter(cMap4, cMap3, init = fromFile, initFromFilePath = "$Proj256to512Filename$", needGradient = false)
+    rn2_1 = ResNetNode3Inc(rn1_3, cMap3, cMap2, cMap4, 1152, convWScale, convBValue, scValue, rn2_1_Wproj)
+    rn2_2 = ResNetNode3(rn2_1, cMap4, cMap2, cMap4, 1152, convWScale, convBValue, scValue)
+    rn2_3 = ResNetNode3(rn2_2, cMap4, cMap2, cMap4, 1152, convWScale, convBValue, scValue)
+    rn2_4 = ResNetNode3(rn2_3, cMap4, cMap2, cMap4, 1152, convWScale, convBValue, scValue)
+    rn2_5 = ResNetNode3(rn2_4, cMap4, cMap2, cMap4, 1152, convWScale, convBValue, scValue)
+    rn2_6 = ResNetNode3(rn2_5, cMap4, cMap2, cMap4, 1152, convWScale, convBValue, scValue)
+    rn2_7 = ResNetNode3(rn2_6, cMap4, cMap2, cMap4, 1152, convWScale, convBValue, scValue)
+    rn2_8 = ResNetNode3(rn2_7, cMap4, cMap2, cMap4, 1152, convWScale, convBValue, scValue)
+    
+    rn3_1_Wproj = Parameter(cMap5, cMap4, init = fromFile, initFromFilePath = "$Proj512to1024Filename$", needGradient = false)
+    rn3_1 = ResNetNode3Inc(rn2_8,  cMap4, cMap3, cMap5, 2304, convWScale, convBValue, scValue, rn3_1_Wproj)
+    rn3_2 = ResNetNode3(rn3_1,  cMap5, cMap3, cMap5, 2304, convWScale, convBValue, scValue)
+    rn3_3 = ResNetNode3(rn3_2,  cMap5, cMap3, cMap5, 2304, convWScale, convBValue, scValue)
+    rn3_4 = ResNetNode3(rn3_3,  cMap5, cMap3, cMap5, 2304, convWScale, convBValue, scValue)
+    rn3_5 = ResNetNode3(rn3_4,  cMap5, cMap3, cMap5, 2304, convWScale, convBValue, scValue)
+    rn3_6 = ResNetNode3(rn3_5,  cMap5, cMap3, cMap5, 2304, convWScale, convBValue, scValue)
+    rn3_7 = ResNetNode3(rn3_6,  cMap5, cMap3, cMap5, 2304, convWScale, convBValue, scValue)
+    rn3_8 = ResNetNode3(rn3_7,  cMap5, cMap3, cMap5, 2304, convWScale, convBValue, scValue)
+    rn3_9 = ResNetNode3(rn3_8,  cMap5, cMap3, cMap5, 2304, convWScale, convBValue, scValue)
+    rn3_10= ResNetNode3(rn3_9,  cMap5, cMap3, cMap5, 2304, convWScale, convBValue, scValue)
+    rn3_11= ResNetNode3(rn3_10, cMap5, cMap3, cMap5, 2304, convWScale, convBValue, scValue)
+    rn3_12= ResNetNode3(rn3_11, cMap5, cMap3, cMap5, 2304, convWScale, convBValue, scValue)
+    rn3_13= ResNetNode3(rn3_12, cMap5, cMap3, cMap5, 2304, convWScale, convBValue, scValue)
+    rn3_14= ResNetNode3(rn3_13, cMap5, cMap3, cMap5, 2304, convWScale, convBValue, scValue)
+    rn3_15= ResNetNode3(rn3_14, cMap5, cMap3, cMap5, 2304, convWScale, convBValue, scValue)
+    rn3_16= ResNetNode3(rn3_15, cMap5, cMap3, cMap5, 2304, convWScale, convBValue, scValue)
+    rn3_17= ResNetNode3(rn3_16, cMap5, cMap3, cMap5, 2304, convWScale, convBValue, scValue)
+    rn3_18= ResNetNode3(rn3_17, cMap5, cMap3, cMap5, 2304, convWScale, convBValue, scValue)
+    rn3_19= ResNetNode3(rn3_18, cMap5, cMap3, cMap5, 2304, convWScale, convBValue, scValue)
+    rn3_20= ResNetNode3(rn3_19, cMap5, cMap3, cMap5, 2304, convWScale, convBValue, scValue)
+    rn3_21= ResNetNode3(rn3_20, cMap5, cMap3, cMap5, 2304, convWScale, convBValue, scValue)
+    rn3_22= ResNetNode3(rn3_21, cMap5, cMap3, cMap5, 2304, convWScale, convBValue, scValue)
+    rn3_23= ResNetNode3(rn3_22, cMap5, cMap3, cMap5, 2304, convWScale, convBValue, scValue)
+    rn3_24= ResNetNode3(rn3_23, cMap5, cMap3, cMap5, 2304, convWScale, convBValue, scValue)
+    rn3_25= ResNetNode3(rn3_24, cMap5, cMap3, cMap5, 2304, convWScale, convBValue, scValue)
+    rn3_26= ResNetNode3(rn3_25, cMap5, cMap3, cMap5, 2304, convWScale, convBValue, scValue)
+    rn3_27= ResNetNode3(rn3_26, cMap5, cMap3, cMap5, 2304, convWScale, convBValue, scValue)
+    rn3_28= ResNetNode3(rn3_27, cMap5, cMap3, cMap5, 2304, convWScale, convBValue, scValue)
+    rn3_29= ResNetNode3(rn3_28, cMap5, cMap3, cMap5, 2304, convWScale, convBValue, scValue)
+    rn3_30= ResNetNode3(rn3_29, cMap5, cMap3, cMap5, 2304, convWScale, convBValue, scValue)
+    rn3_31= ResNetNode3(rn3_30, cMap5, cMap3, cMap5, 2304, convWScale, convBValue, scValue)
+    rn3_32= ResNetNode3(rn3_31, cMap5, cMap3, cMap5, 2304, convWScale, convBValue, scValue)
+    rn3_33= ResNetNode3(rn3_32, cMap5, cMap3, cMap5, 2304, convWScale, convBValue, scValue)
+    rn3_34= ResNetNode3(rn3_33, cMap5, cMap3, cMap5, 2304, convWScale, convBValue, scValue)
+    rn3_35= ResNetNode3(rn3_34, cMap5, cMap3, cMap5, 2304, convWScale, convBValue, scValue)
+    rn3_36= ResNetNode3(rn3_35, cMap5, cMap3, cMap5, 2304, convWScale, convBValue, scValue)
+
+    rn4_1_Wproj = Parameter(cMap6, cMap5, init = fromFile, initFromFilePath = "$Proj1024to2048Filename$", needGradient = false)
+    rn4_1 = ResNetNode3Inc(rn3_36, cMap5, cMap4, cMap6, 4608, convWScale, convBValue, scValue, rn4_1_Wproj)
+    rn4_2 = ResNetNode3(rn4_1, cMap6, cMap4, cMap6, 4608, convWScale, convBValue, scValue)
+    rn4_3 = ResNetNode3(rn4_2, cMap6, cMap4, cMap6, 4608, convWScale, convBValue, scValue)
+
+    pool5 = AveragePooling(rn4_3, poolW, poolH, poolhs, poolvs)
+
+    ol = DnnLayer(8192, labelDim, pool5, fcWScale, fcBValue)
+    
+    CE = CrossEntropyWithSoftmax(labels, ol, tag = Criteria)
+    Err = ErrorPrediction(labels, ol, tag = Eval)
+    OutputNodes = ol
+]
diff --git a/Examples/Image/Miscellaneous/ImageNet/ResNet/ResNet_34.config b/Examples/Image/Miscellaneous/ImageNet/ResNet/ResNet_34.config
new file mode 100644
index 000000000..291cc7079
--- /dev/null
+++ b/Examples/Image/Miscellaneous/ImageNet/ResNet/ResNet_34.config
@@ -0,0 +1,122 @@
+RootDir = "."
+
+ConfigDir = "$RootDir$"
+DataDir = "$RootDir$"
+OutputDir = "$RootDir$/Output"
+ModelDir = "$OutputDir$/Models"
+
+ndlMacros=$ConfigDir$/Macros.ndl
+
+precision=float
+deviceId=Auto
+
+command=Train:AddTop5Eval:Test
+
+parallelTrain=false
+
+stderr=$OutputDir$/ResNet_34
+traceLevel=1
+
+Proj64to128Filename = $ConfigDir$/64to128.txt
+Proj128to256Filename = $ConfigDir$/128to256.txt
+Proj256to512Filename = $ConfigDir$/256to512.txt
+
+Train=[
+    action=train
+    modelPath=$ModelDir$/ResNet_34
+
+     NDLNetworkBuilder=[
+        networkDescription=$ConfigDir$/ResNet_34.ndl
+    ]
+    
+    SGD=[
+        epochSize=0
+        minibatchSize=64
+        learningRatesPerMB=0.1*20:0.03*10:0.01*30:0.003
+        momentumPerMB=0.9
+        maxEpochs=100
+        gradUpdateType=None
+        L2RegWeight=0.0001
+        dropoutRate=0
+        
+        ParallelTrain=[
+            parallelizationMethod=DataParallelSGD
+            distributedMBReading=true
+            parallelizationStartEpoch=1
+            DataParallelSGD=[
+                gradientBits=1
+            ]
+        ]
+        
+        numMBsToShowResult=100
+    ]
+    
+    reader=[
+        readerType=ImageReader
+        # Map file which maps images to labels using the following format:
+        # <full path to image><tab><numerical label (0-based class id)>
+        # Example:
+        # C:\Data\ImageNet\2012\train\n01440764\n01440764_10026.JPEG<tab>0
+        file=$DataDir$/train_map.txt
+        # Randomize images before every epoch. Possible values: None, Auto. Default: Auto.
+        randomize=Auto
+        features=[
+            # Below are the required parameters.
+            width=224
+            height=224
+            channels=3
+            # Below are the optional parameters.
+            # Possible values: Center, Random. Default: Center
+            cropType=Random
+            # Horizontal random flip, will be enabled by default if cropType=Random
+            #hflip=0
+            # Crop scale ratio. Examples: cropRatio=0.9, cropRatio=0.7:0.9. Default: 1.
+            cropRatio=0.875
+            # Crop scale ratio jitter type.
+            # Possible values: None, UniRatio, UniLength, UniArea. Default: UniRatio
+            jitterType=UniRatio
+            # Interpolation to use when scaling image to width x height size.
+            # Possible values: nearest, linear, cubic, lanczos. Default: linear.
+            interpolations=Linear
+            # Stores mean values for each pixel in OpenCV matrix XML format.
+            meanFile=$ConfigDir$/ImageNet1K_mean.xml
+        ]
+        labels=[
+            labelDim=1000
+        ]
+    ]    
+]
+
+AddTop5Eval=[    
+    action=edit
+    CurModel=$ModelDir$/ResNet_34
+    NewModel=$ModelDir$/ResNet_34.Top5
+    editPath=$ConfigDir$/add_top5_layer.mel
+]
+
+Test=[
+    action=test
+    modelPath=$ModelDir$/ResNet_34.Top5
+    # Set minibatch size for testing.
+    minibatchSize=128
+
+     NDLNetworkBuilder=[
+        networkDescription=$ConfigDir$/ResNet_34.ndl
+    ]
+    
+    reader=[
+        readerType=ImageReader
+        file=$DataDir$/val_map.txt
+        randomize=None
+        features=[
+            width=224
+            height=224
+            channels=3
+            cropType=Center
+            meanFile=$ConfigDir$/ImageNet1K_mean.xml
+        ]
+        labels=[
+            labelDim=1000
+        ]
+    ]    
+]
diff --git a/Examples/Image/Miscellaneous/ImageNet/ResNet/ResNet_34.ndl b/Examples/Image/Miscellaneous/ImageNet/ResNet/ResNet_34.ndl
new file mode 100644
index 000000000..01cb5ce8c
--- /dev/null
+++ b/Examples/Image/Miscellaneous/ImageNet/ResNet/ResNet_34.ndl
@@ -0,0 +1,74 @@
+load=ndlMacros
+run=DNN
+
+ndlMacros = [
+    ImageW = 224
+    ImageH = 224
+    ImageC = 3
+    LabelDim = 1000
+
+    features = ImageInput(ImageW, ImageH, ImageC, tag = feature)
+    featOffs = Const(0, rows = 150528)
+    featScaled = Plus(features, featOffs)
+    labels = Input(LabelDim, tag = label)
+    
+    # Kernels width and height.
+    kW = 3
+    kH = 3
+    # Kernel stride.
+    hs = 1
+    vs = 1
+    
+    # Pooling settings.
+    poolW = 2
+    poolH = 2
+    poolhs = 2
+    poolvs = 2
+    
+    # Initial parameter values.
+    convWScale = 7.07
+    convBValue = 0
+    scValue = 0.03
+    fcWScale = 3.0
+    fcBValue = 1
+]
+
+DNN=[
+    cMap1 = 64
+    conv1 = ConvBNReLULayer(featScaled, cMap1, 147, 7, 7, 2, 2, convWScale, convBValue, scValue)
+    pool1 = MaxPooling(conv1, poolW, poolH, poolhs, poolvs)
+    
+    rn1_1 = ResNetNode2(pool1, cMap1, 576, kW, kH, convWScale, convBValue, scValue)
+    rn1_2 = ResNetNode2(rn1_1, cMap1, 576, kW, kH, convWScale, convBValue, scValue)
+    rn1_3 = ResNetNode2(rn1_2, cMap1, 576, kW, kH, convWScale, convBValue, scValue)
+
+    cMap2 = 128
+    rn2_1_Wproj = Parameter(cMap2, cMap1, init = fromFile, initFromFilePath = "$Proj64to128Filename$", needGradient = false)
+    rn2_1 = ResNetNode2Conv(rn1_3, cMap2, 576, 1152, kW, kH, convWScale, convBValue, scValue, rn2_1_Wproj)
+    rn2_2 = ResNetNode2(rn2_1, cMap2, 1152, kW, kH, convWScale, convBValue, scValue)
+    rn2_3 = ResNetNode2(rn2_2, cMap2, 1152, kW, kH, convWScale, convBValue, scValue)
+    rn2_4 = ResNetNode2(rn2_3, cMap2, 1152, kW, kH, convWScale, convBValue, scValue)
+    
+    cMap3 = 256
+    rn3_1_Wproj = Parameter(cMap3, cMap2, init = fromFile, initFromFilePath = "$Proj128to256Filename$", needGradient = false)
+    rn3_1 = ResNetNode2Conv(rn2_4, cMap3, 1152, 2304, kW, kH, convWScale, convBValue, scValue, rn3_1_Wproj)
+    rn3_2 = ResNetNode2(rn3_1, cMap3, 2304, kW, kH, convWScale, convBValue, scValue)
+    rn3_3 = ResNetNode2(rn3_2, cMap3, 2304, kW, kH, convWScale, convBValue, scValue)
+    rn3_4 = ResNetNode2(rn3_3, cMap3, 2304, kW, kH, convWScale, convBValue, scValue)
+    rn3_5 = ResNetNode2(rn3_4, cMap3, 2304, kW, kH, convWScale, convBValue, scValue)
+    rn3_6 = ResNetNode2(rn3_5, cMap3, 2304, kW, kH, convWScale, convBValue, scValue)
+
+    cMap4 = 512
+    rn4_1_Wproj = Parameter(cMap4, cMap3, init = fromFile, initFromFilePath = "$Proj256to512Filename$", needGradient = false)
+    rn4_1 = ResNetNode2Conv(rn3_6, cMap4, 2304, 4608, kW, kH, convWScale, convBValue, scValue, rn4_1_Wproj)
+    rn4_2 = ResNetNode2(rn4_1, cMap4, 4608, kW, kH, convWScale, convBValue, scValue)
+    rn4_3 = ResNetNode2(rn4_2, cMap4, 4608, kW, kH, convWScale, convBValue, scValue)
+
+    pool5 = AveragePooling(rn4_3, poolW, poolH, poolhs, poolvs)
+
+    ol = DnnLayer(4608, labelDim, pool5, fcWScale, fcBValue)
+    
+    CE = CrossEntropyWithSoftmax(labels, ol, tag = Criteria)
+    Err = ErrorPrediction(labels, ol, tag = Eval)
+    OutputNodes = ol
+]
diff --git a/Examples/Image/Miscellaneous/ImageNet/ResNet/add_top5_layer.mel b/Examples/Image/Miscellaneous/ImageNet/ResNet/add_top5_layer.mel
new file mode 100644
index 000000000..2a0355928
--- /dev/null
+++ b/Examples/Image/Miscellaneous/ImageNet/ResNet/add_top5_layer.mel
@@ -0,0 +1,6 @@
+m1=LoadModel($CurModel$, format=cntk)
+SetDefaultModel(m1)
+
+ErrTop5 = ErrorPrediction(labels, OutputNodes.z, Const(5), tag = Eval)
+
+SaveModel(m1, $NewModel$, format=cntk)
\ No newline at end of file
diff --git a/Examples/Image/Miscellaneous/ImageNet/VGG/Macros.ndl b/Examples/Image/Miscellaneous/ImageNet/VGG/Macros.ndl
index 85cee3bbf..287289b1c 100644
--- a/Examples/Image/Miscellaneous/ImageNet/VGG/Macros.ndl
+++ b/Examples/Image/Miscellaneous/ImageNet/VGG/Macros.ndl
@@ -8,6 +8,20 @@ DnnReLULayer(inDim, outDim, x, wScale, bValue)
     y = RectifiedLinear(z)
 }
 
+# Fully-connected layer with batch normalization and ReLU activation.
+DnnBNReLULayer(inDim, outDim, x, wScale, bValue)
+{
+    W = Parameter(outDim, inDim, init = Gaussian, initValueScale = wScale) 
+    b = Parameter(inDim, 1, init = fixedValue, value = bValue) 
+    sc = Parameter(inDim, 1, init = Gaussian, initValueScale = 0.01)
+    m = Parameter(inDim, 1, init = fixedValue, value = 0, needGradient = false)
+    isd = Parameter(inDim, 1, init = fixedValue, value = 0, needGradient = false)
+    
+    bn = BatchNormalization(x, sc, b, m, isd, eval = false, spatial = false)
+    t = Times(W, bn)
+    y = RectifiedLinear(t)
+}
+
 # Fully-connected layer.
 DnnLayer(inDim, outDim, x, wScale, bValue)
 {
@@ -27,3 +41,16 @@ ConvReLULayer(inp, outMap, inWCount, kW, kH, hStride, vStride, wScale, bValue)
     y = RectifiedLinear(z);
 }
 
+# Convolutional layer with batch normalization and ReLU activation.
+ConvBNReLULayer(inp, outMap, inWCount, kW, kH, hStride, vStride, wScale, bValue, scValue)
+{
+    W = Parameter(outMap, inWCount, init = Gaussian, initValueScale = wScale)
+    b = Parameter(outMap, 1, init = fixedValue, value = bValue)
+    sc = Parameter(outMap, 1, init = Gaussian, initValueScale = scValue)
+    m = Parameter(outMap, 1, init = fixedValue, value = 0, needGradient = false)
+    isd = Parameter(outMap, 1, init = fixedValue, value = 0, needGradient = false)
+    
+    c = Convolution(W, inp, kW, kH, outMap, hStride, vStride, zeroPadding = true)
+    bn = BatchNormalization(c, sc, b, m, isd, eval = false, spatial = true)
+    y = RectifiedLinear(bn);
+}
diff --git a/Examples/Image/Miscellaneous/ImageNet/VGG/VGG_E.config b/Examples/Image/Miscellaneous/ImageNet/VGG/VGG_E.config
index c2fe8edf9..d2132eb70 100644
--- a/Examples/Image/Miscellaneous/ImageNet/VGG/VGG_E.config
+++ b/Examples/Image/Miscellaneous/ImageNet/VGG/VGG_E.config
@@ -67,7 +67,7 @@ Train=[
             # Horizontal random flip, will be enabled by default if cropType=Random
             #hflip=0
             # Crop scale ratio. Examples: cropRatio=0.9, cropRatio=0.7:0.9. Default: 1.
-            cropRatio=0.9
+            cropRatio=0.875
             # Crop scale ratio jitter type.
             # Possible values: None, UniRatio, UniLength, UniArea. Default: UniRatio
             jitterType=UniRatio
diff --git a/Examples/Image/Miscellaneous/ImageNet/VGG/VGG_E.ndl b/Examples/Image/Miscellaneous/ImageNet/VGG/VGG_E.ndl
index 6ed547881..eb7fe867c 100644
--- a/Examples/Image/Miscellaneous/ImageNet/VGG/VGG_E.ndl
+++ b/Examples/Image/Miscellaneous/ImageNet/VGG/VGG_E.ndl
@@ -1,7 +1,7 @@
-load=ndlMnistMacros
+load=ndlMacros
 run=DNN
 
-ndlMnistMacros = [
+ndlMacros = [
     ImageW = 224
     ImageH = 224
     ImageC = 3
diff --git a/Examples/Image/Miscellaneous/ImageNet/VGG/VGG_E_BN.config b/Examples/Image/Miscellaneous/ImageNet/VGG/VGG_E_BN.config
new file mode 100644
index 000000000..b4d0fc3ec
--- /dev/null
+++ b/Examples/Image/Miscellaneous/ImageNet/VGG/VGG_E_BN.config
@@ -0,0 +1,118 @@
+RootDir = "."
+
+ConfigDir = "$RootDir$"
+DataDir = "$RootDir$"
+OutputDir = "$RootDir$/Output"
+ModelDir = "$OutputDir$/Models"
+
+ndlMacros=$ConfigDir$/Macros.ndl
+
+precision=float
+deviceId=Auto
+
+command=Train:AddTop5Eval:Test
+
+parallelTrain=false
+
+stderr=$OutputDir$/VGG_E_BN
+traceLevel=1
+
+Train=[
+    action=train
+    modelPath=$ModelDir$/VGG_E_BN
+
+     NDLNetworkBuilder=[
+        networkDescription=$ConfigDir$/VGG_E_BN.ndl
+    ]
+    
+    SGD=[
+        epochSize=0
+        minibatchSize=16
+        learningRatesPerMB=0.01*20:0.003*12:0.001*28:0.0003
+        momentumPerMB=0.9
+        maxEpochs=70
+        gradUpdateType=None
+        L2RegWeight=0.0005
+        dropoutRate=0*5:0.5
+        
+        ParallelTrain=[
+            parallelizationMethod=DataParallelSGD
+            distributedMBReading=true
+            parallelizationStartEpoch=1
+            DataParallelSGD=[
+                gradientBits=1
+            ]
+        ]
+        
+        numMBsToShowResult=10
+    ]
+    
+    reader=[
+        readerType=ImageReader
+        # Map file which maps images to labels using the following format:
+        # <full path to image><tab><numerical label (0-based class id)>
+        # Example:
+        # C:\Data\ImageNet\2012\train\n01440764\n01440764_10026.JPEG<tab>0
+        file=$DataDir$/train_map.txt
+        # Randomize images before every epoch. Possible values: None, Auto. Default: Auto.
+        randomize=Auto
+        features=[
+            # Below are the required parameters.
+            width=224
+            height=224
+            channels=3
+            # Below are the optional parameters.
+            # Possible values: Center, Random. Default: Center
+            cropType=Random
+            # Horizontal random flip, will be enabled by default if cropType=Random
+            #hflip=0
+            # Crop scale ratio. Examples: cropRatio=0.9, cropRatio=0.7:0.9. Default: 1.
+            cropRatio=0.875
+            # Crop scale ratio jitter type.
+            # Possible values: None, UniRatio, UniLength, UniArea. Default: UniRatio
+            jitterType=UniRatio
+            # Interpolation to use when scaling image to width x height size.
+            # Possible values: nearest, linear, cubic, lanczos. Default: linear.
+            interpolations=Linear
+            # Stores mean values for each pixel in OpenCV matrix XML format.
+            meanFile=$ConfigDir$/ImageNet1K_mean.xml
+        ]
+        labels=[
+            labelDim=1000
+        ]
+    ]    
+]
+
+AddTop5Eval=[    
+    action=edit
+    CurModel=$ModelDir$/VGG_E_BN
+    NewModel=$ModelDir$/VGG_E_BN.Top5
+    editPath=$ConfigDir$/add_top5_layer.mel
+]
+
+Test=[
+    action=test
+    modelPath=$ModelDir$/VGG_E_BN.Top5
+    # Set minibatch size for testing.
+    minibatchSize=128
+
+     NDLNetworkBuilder=[
+        networkDescription=$ConfigDir$/VGG_E_BN.ndl
+    ]
+    
+    reader=[
+        readerType=ImageReader
+        file=$DataDir$/val_map.txt
+        randomize=None
+        features=[
+            width=224
+            height=224
+            channels=3
+            cropType=Center
+            meanFile=$ConfigDir$/ImageNet1K_mean.xml
+        ]
+        labels=[
+            labelDim=1000
+        ]
+    ]    
+]
diff --git a/Examples/Image/Miscellaneous/ImageNet/VGG/VGG_E_BN.ndl b/Examples/Image/Miscellaneous/ImageNet/VGG/VGG_E_BN.ndl
new file mode 100644
index 000000000..d07b2e407
--- /dev/null
+++ b/Examples/Image/Miscellaneous/ImageNet/VGG/VGG_E_BN.ndl
@@ -0,0 +1,87 @@
+load=ndlMacros
+run=DNN
+
+ndlMacros = [
+    ImageW = 224
+    ImageH = 224
+    ImageC = 3
+    LabelDim = 1000
+
+    features = ImageInput(ImageW, ImageH, ImageC, tag = feature)
+    featOffs = Const(0, rows = 150528)
+    featScaled = Plus(features, featOffs)
+    labels = Input(LabelDim, tag = label)
+    
+    # Kernels width and height.
+    kW = 3
+    kH = 3
+    # Kernel stride.
+    hs = 1
+    vs = 1
+    
+    # Pooling settings.
+    poolW = 2
+    poolH = 2
+    poolhs = 2
+    poolvs = 2
+    
+    # Initial parameter values.
+    convWScale = 7.07
+    convBValue = 0
+    scValue = 0.03
+    fc1WScale = 3.0
+    fc1BValue = 1
+    fc2WScale = 3.0
+    fc2BValue = 1
+    fc3WScale = 1.0
+    fc3BValue = 1
+]
+
+DNN=[
+    cMap1 = 64
+    conv1 = ConvBNReLULayer(featScaled, cMap1, 27, kW, kH, hs, vs, convWScale, convBValue, scValue)
+    conv2 = ConvBNReLULayer(conv1, cMap1, 576, kW, kH, hs, vs, convWScale, convBValue, scValue)
+
+    pool1 = MaxPooling(conv2, poolW, poolH, poolhs, poolvs)
+
+    cMap3 = 128
+    conv3 = ConvBNReLULayer(pool1, cMap3, 576, kW, kH, hs, vs, convWScale, convBValue, scValue)
+    conv4 = ConvBNReLULayer(conv3, cMap3, 1152, kW, kH, hs, vs, convWScale, convBValue, scValue)
+   
+    pool2 = MaxPooling(conv4, poolW, poolH, poolhs, poolvs)
+
+    cMap5 = 256
+    conv5 = ConvBNReLULayer(pool2, cMap5, 1152, kW, kH, hs, vs, convWScale, convBValue, scValue)
+    conv6 = ConvBNReLULayer(conv5, cMap5, 2304, kW, kH, hs, vs, convWScale, convBValue, scValue)
+    conv7 = ConvBNReLULayer(conv6, cMap5, 2304, kW, kH, hs, vs, convWScale, convBValue, scValue)
+    conv8 = ConvBNReLULayer(conv7, cMap5, 2304, kW, kH, hs, vs, convWScale, convBValue, scValue)
+
+    pool3 = MaxPooling(conv8, poolW, poolH, poolhs, poolvs)
+
+    cMap9 = 512
+    conv9 = ConvBNReLULayer(pool3, cMap9, 2304, kW, kH, hs, vs, convWScale, convBValue, scValue)
+    conv10 = ConvBNReLULayer(conv9, cMap9, 4608, kW, kH, hs, vs, convWScale, convBValue, scValue)
+    conv11 = ConvBNReLULayer(conv10, cMap9, 4608, kW, kH, hs, vs, convWScale, convBValue, scValue)
+    conv12 = ConvBNReLULayer(conv11, cMap9, 4608, kW, kH, hs, vs, convWScale, convBValue, scValue)
+
+    pool4 = MaxPooling(conv12, poolW, poolH, poolhs, poolvs)
+
+    cMap13 = 512
+    conv13 = ConvBNReLULayer(pool4, cMap13, 4608, kW, kH, hs, vs, convWScale, convBValue, scValue)
+    conv14 = ConvBNReLULayer(conv13, cMap13, 4608, kW, kH, hs, vs, convWScale, convBValue, scValue)
+    conv15 = ConvBNReLULayer(conv14, cMap13, 4608, kW, kH, hs, vs, convWScale, convBValue, scValue)
+    conv16 = ConvBNReLULayer(conv15, cMap13, 4608, kW, kH, hs, vs, convWScale, convBValue, scValue)
+
+    pool5 = MaxPooling(conv16, poolW, poolH, poolhs, poolvs)
+
+    hiddenDim = 4096
+    h1 = DnnBNReLULayer(25088, hiddenDim, pool5, fc1WScale, fc1BValue)
+    h1_d = Dropout(h1)
+    h2 = DnnBNReLULayer(hiddenDim, hiddenDim, h1_d, fc2WScale, fc2BValue)
+    h2_d = Dropout(h2)
+    ol = DnnLayer(hiddenDim, labelDim, h2_d, fc3WScale, fc3BValue)
+    
+    CE = CrossEntropyWithSoftmax(labels, ol, tag = Criteria)
+    Err = ErrorPrediction(labels, ol, tag = Eval)
+    OutputNodes = ol
+]
diff --git a/Makefile b/Makefile
index fbff1ad0e..6c9504249 100644
--- a/Makefile
+++ b/Makefile
@@ -234,6 +234,7 @@ MATH_SRC =\
 ifdef CUDA_PATH
 MATH_SRC +=\
 	$(SOURCEDIR)/Math/GPUMatrix.cu \
+	$(SOURCEDIR)/Math/GPUTensor.cu \
 	$(SOURCEDIR)/Math/GPUSparseMatrix.cu \
 	$(SOURCEDIR)/Math/GPUWatcher.cu \
 	$(SOURCEDIR)/Math/MatrixQuantizerGPU.cu \
diff --git a/Source/CNTK/BrainScript/ExperimentalNetworkBuilder.cpp b/Source/CNTK/BrainScript/ExperimentalNetworkBuilder.cpp
index a680e98d5..34eeaac12 100644
--- a/Source/CNTK/BrainScript/ExperimentalNetworkBuilder.cpp
+++ b/Source/CNTK/BrainScript/ExperimentalNetworkBuilder.cpp
@@ -35,13 +35,14 @@ using namespace std;
         ;
 
     wstring computationNodes =  // TODO: use actual TypeName() here? would first need to make it a wide string; we should also extract those two methods into the base macro
-        L"LearnableParameter(rows, cols, needGradient = true, init = 'uniform'/*|fixedValue|gaussian|fromFile*/, initValueScale = 1, value = 0, initFromFilePath = '', initOnCPUOnly=true, randomSeed=-1, tag='') = new ComputationNode [ operation = 'LearnableParameter' /*plus the function args*/ ]\n"
+        L"LearnableParameter(rows, cols, needGradient = true, init = 'uniform'/*|fixedValue|gaussian|fromFile*/, initValueScale = 1, value = 0, initFromFilePath = '', initOnCPUOnly=true, randomSeed=-1, tag='') = new ComputationNode [ operation = 'LearnableParameter' ; shape = new TensorShape [ dims = (rows : cols) ] /*plus the function args*/ ]\n"
         L"Parameter = LearnableParameter // deprecated \n"
+        L"ParameterTensor(dims, needGradient = true, init = 'uniform'/*|fixedValue|gaussian|fromFile*/, initValueScale = 1, value = 0, initFromFilePath = '', initOnCPUOnly=true, randomSeed=-1, tag='') = new ComputationNode [ operation = 'LearnableParameter' ; shape = new TensorShape [ /*dims*/ ] /*plus the function args*/ ]\n"
         // ^^ already works; vv untested
-        L"Input(rows, cols, tag='feature') = new ComputationNode [ operation = 'InputValue' ; isImage = false /*plus the function args*/ ]\n" // note: naming a little inconsistent  // TODO: re-test after flag change
-        L"SparseInput(rows, cols, tag='feature') = new ComputationNode [ operation = 'SparseInputValue' ; isImage = false /*plus the function args*/ ]\n"
-        L"ImageInput(imageWidth, imageHeight, imageChannels, numImages, tag='feature') = new ComputationNode [ operation = 'InputValue' ; isImage = true /*plus the function args*/ ]\n"
-        L"SparseImageInput(imageWidth, imageHeight, imageChannels, numImages, tag='feature') = new ComputationNode [ operation = 'SparseInputValue' ; isImage = true /*plus the function args*/ ]\n"
+        L"Input(rows, tag='feature') = new ComputationNode [ operation = 'InputValue' ; shape = new TensorShape [ dims = (rows) ] ; isImage = false /*plus the function args*/ ]\n" // note: naming a little inconsistent  // TODO: re-test after flag change
+        L"SparseInput(rows, tag='feature') = new ComputationNode [ operation = 'SparseInputValue' ; shape = new TensorShape [ dims = (rows) ] ; isImage = false /*plus the function args*/ ]\n"
+        L"ImageInput(imageWidth, imageHeight, imageChannels, imageLayout='CHW', tag='feature') = new ComputationNode [ operation = 'InputValue' ; isImage = true /*plus the function args*/ ]\n"
+        L"SparseImageInput(imageWidth, imageHeight, imageChannels, imageLayout='CHW', tag='feature') = new ComputationNode [ operation = 'SparseInputValue' ; isImage = true /*plus the function args*/ ]\n"
         L"Constant(val, rows = 1, cols = 1, tag='') = Parameter(rows, cols, needGradient = false, init = 'fixedValue', value = val) \n"
         L"PastValue(rows, cols, input, timeStep = 1, defaultHiddenActivation = 0.1, tag='') = new ComputationNode [ operation = 'PastValue' ; inputs = input /*plus the function args*/ ]\n"
         L"FutureValue(rows, cols, input, timeStep = 1, defaultHiddenActivation = 0.1, tag='') = new ComputationNode [ operation = 'FutureValue' ; inputs = input /*plus the function args*/ ]\n"
@@ -53,9 +54,9 @@ using namespace std;
         L"Logistic(label, probability, tag='') = new ComputationNode [ operation = 'Logistic' ; inputs = (label : probability) /*plus the function args*/ ]\n"
         L"WeightedLogistic(label, probability, instanceWeight, tag='') = new ComputationNode [ operation = 'Logistic' ; inputs = (label : probability : instanceWeight) /*plus the function args*/ ]\n"
         L"ReconcileMBLayout(dataInput, layoutInput, tag='') = new ComputationNode [ operation = 'ReconcileMBLayout' ; inputs = (dataInput : layoutInput) /*plus the function args*/ ]\n"
-        L"Convolution(weightNode, inputValueNode, kernelWidth, kernelHeight, outputChannels, horizontalSubsample, verticalSubsample, zeroPadding = false, maxTempMemSizeInSamples = 0, tag='') = new ComputationNode [ operation = 'Convolution' ; inputs = (weightNode : inputValueNode) /*plus the function args*/ ]\n"
-        L"MaxPooling(input, windowWidth, windowHeight, horizontalSubsample, verticalSubsample, tag='') = new ComputationNode [ operation = 'MaxPooling' ; inputs = input /*plus the function args*/ ]\n"
-        L"AveragePooling(input, windowWidth, windowHeight, horizontalSubsample, verticalSubsample, tag='') = new ComputationNode [ operation = 'AveragePoolingNode' ; inputs = input /*plus the function args*/ ]\n"
+        L"Convolution(weightNode, inputValueNode, kernelWidth, kernelHeight, outputChannels, horizontalSubsample, verticalSubsample, zeroPadding = false, maxTempMemSizeInSamples = 0, imageLayout='CHW', tag='') = new ComputationNode [ operation = 'Convolution' ; inputs = (weightNode : inputValueNode) /*plus the function args*/ ]\n"
+        L"MaxPooling(input, windowWidth, windowHeight, horizontalSubsample, verticalSubsample, imageLayout='CHW', tag='') = new ComputationNode [ operation = 'MaxPooling' ; inputs = input /*plus the function args*/ ]\n"
+        L"AveragePooling(input, windowWidth, windowHeight, horizontalSubsample, verticalSubsample, imageLayout='CHW', tag='') = new ComputationNode [ operation = 'AveragePooling' ; inputs = input /*plus the function args*/ ]\n"
         // TODO: define DelayedValue, with negative delay for future; cannot do this yet, need to be able to say something like delay = -(^.delay)
         // aliases
         L"ColumnwiseCrossProduct = KhatriRaoProduct // deprecated \n"   // TODO: should it be deprecated? It is described as easier to understand in the CNTKBook.
diff --git a/Source/CNTK/CNTK.cpp b/Source/CNTK/CNTK.cpp
index f2bd706bc..d80a262ce 100644
--- a/Source/CNTK/CNTK.cpp
+++ b/Source/CNTK/CNTK.cpp
@@ -902,12 +902,12 @@ void DoTrain(const ConfigRecordType & config)
         };
     }
     // legacy test mode for BrainScript. Will go away once we fully integrate with BS.
-    else if (config.Exists(L"ExperimentalNetworkBuilder"))
+    else if (config.Exists(L"BrainScriptNetworkBuilder") || config.Exists(L"ExperimentalNetworkBuilder"/*legacy*/))
     {
         // We interface with outer old CNTK config by taking the inner part, which we get as a string, as BrainScript.
         // We prepend a few standard definitions, and also definition of deviceId and precision, which all objects will pull out again when they are being constructed.
         // BUGBUG: We are not getting TextLocations right in this way! Do we need to inject location markers into the source? Moot once we fully switch to BS
-        wstring sourceCode = config(L"ExperimentalNetworkBuilder");
+        wstring sourceCode = config.Exists(L"BrainScriptNetworkBuilder") ? config(L"BrainScriptNetworkBuilder") : config(L"ExperimentalNetworkBuilder");
         let expr = BS::ParseConfigDictFromString(standardFunctions + computationNodes + commonMacros
             + msra::strfun::wstrprintf(L"deviceId = %d ; precision = '%ls' ; network = new ComputationNetwork ", (int)deviceId, ElemTypeName<ElemType>())  // TODO: check if typeid needs postprocessing
             + sourceCode, vector<wstring>());    // source code has the form [ ... ]
diff --git a/Source/CNTK/SimpleNetworkBuilder.cpp b/Source/CNTK/SimpleNetworkBuilder.cpp
index b1c827ab6..5a9ddc268 100644
--- a/Source/CNTK/SimpleNetworkBuilder.cpp
+++ b/Source/CNTK/SimpleNetworkBuilder.cpp
@@ -1050,7 +1050,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
 
                 ComputationNodePtr scalar = builder.CreateLearnableParameter(msra::strfun::wstrprintf(L"SV%d", i), 1, 1);
                 scalar->Value().SetValue((ElemType)0.01);
-#ifndef ENABLE_TENSORVIEW
+#ifndef ENABLE_BROADCASTING_ELEMENTTIMES
                 ComputationNodePtr scaled = builder.Scale(scalar, directOutput, msra::strfun::wstrprintf(L"S%d", i));
 #else
                 ComputationNodePtr scaled = builder.ElementTimes(scalar, directOutput, msra::strfun::wstrprintf(L"S%d", i));
@@ -2523,19 +2523,27 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         m_net->LabelNodes().push_back(label);
 
         ComputationNodePtr output;
+
+        // BUGBUG: Use of 'tinput' conflicts with some criteria that expect their top weight matrix transposed, e.g. [200 x 10000] with vocab size of 10000 instead of [10000 x 200].
+        //         E.g. ClassCrossEntropyWithSoftmax uses this, but that is incompatible with 'tinput.' Now 'tinput' is computed on demand, but if a criterion node is
+        //         used that needs it, we will still have this incompatibility.
         ComputationNodePtr tinput = input;
-        if (matrix != nullptr)
-            tinput = builder.Times(matrix, input);
 
         switch (m_trainCriterion)
         {
         case TrainingCriterion::CrossEntropyWithSoftmax:
+            if (matrix != nullptr)
+                tinput = builder.Times(matrix, input);
             output = builder.CrossEntropyWithSoftmax(label, tinput, (trainNodeName == L"") ? L"CrossEntropyWithSoftmax" : trainNodeName);
             break;
         case TrainingCriterion::SquareError:
+            if (matrix != nullptr)
+                tinput = builder.Times(matrix, input);
             output = builder.SquareError(label, tinput, (trainNodeName == L"") ? L"SquareError" : trainNodeName);
             break;
         case TrainingCriterion::Logistic:
+            if (matrix != nullptr)
+                tinput = builder.Times(matrix, input);
             output = builder.Logistic(label, tinput, (trainNodeName == L"") ? L"Logistic" : trainNodeName);
             break;
         case TrainingCriterion::CRF:
@@ -2564,6 +2572,8 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             switch (m_evalCriterion)
             {
             case EvalCriterion::CrossEntropyWithSoftmax:
+                if (matrix != nullptr && tinput == input)
+                    tinput = builder.Times(matrix, input);
                 //output = builder.CrossEntropyWithSoftmax(label, tinput, (evalNodeName == L"")?L"EvalCrossEntropyWithSoftmax":evalNodeName);
                 output = builder.CrossEntropyWithSoftmax(label, tinput, (evalNodeName == L"") ? L"CrossEntropyWithSoftmax" : evalNodeName);
                 break;
@@ -2575,18 +2585,26 @@ namespace Microsoft { namespace MSR { namespace CNTK {
                 output = builder.NoiseContrastiveEstimation(label, input, matrix, clspostprob, (evalNodeName == L"") ? L"NoiseContrastiveEstimationNode" : evalNodeName);
                 break;
             case EvalCriterion::SquareError:
+                if (matrix != nullptr && tinput == input)
+                    tinput = builder.Times(matrix, input);
                 //output = builder.SquareError(label, tinput, (evalNodeName == L"")?L"EvalSquareError":evalNodeName);
                 output = builder.SquareError(label, tinput, (evalNodeName == L"") ? L"SquareError" : evalNodeName);
                 break;
             case EvalCriterion::Logistic:
+                if (matrix != nullptr && tinput == input)
+                    tinput = builder.Times(matrix, input);
                 //output = builder.SquareError(label, tinput, (evalNodeName == L"")?L"EvalSquareError":evalNodeName);
                 output = builder.Logistic(label, tinput, (evalNodeName == L"") ? L"Logistic" : evalNodeName);
                 break;
             case EvalCriterion::ErrorPrediction:
+                if (matrix != nullptr && tinput == input)
+                    tinput = builder.Times(matrix, input);
                 output = builder.ErrorPrediction(label, tinput, (evalNodeName == L"") ? L"EvalErrorPrediction" : evalNodeName);
                 break;
             case EvalCriterion::CRF:
                 assert(trans != nullptr);
+                if (matrix != nullptr && tinput == input)
+                    tinput = builder.Times(matrix, input);
                 output = builder.CRF(label, tinput, trans, (evalNodeName == L"") ? L"EvalCRF" : evalNodeName);
                 break;
             default:
diff --git a/Source/CNTK/SynchronousExecutionEngine.cpp b/Source/CNTK/SynchronousExecutionEngine.cpp
index a15341f4c..30622087a 100644
--- a/Source/CNTK/SynchronousExecutionEngine.cpp
+++ b/Source/CNTK/SynchronousExecutionEngine.cpp
@@ -108,9 +108,10 @@ namespace Microsoft { namespace MSR { namespace CNTK {
                 size_t imageWidth = ((NDLNode<ElemType>*)params[0])->GetScalar();
                 size_t imageHeight = ((NDLNode<ElemType>*)params[1])->GetScalar();
                 size_t imageChannels = ((NDLNode<ElemType>*)params[2])->GetScalar();
-                size_t numImages = parameter.size() > 3 ? ((NDLNode<ElemType>*)params[3])->GetScalar() : 1;
+                size_t numImages = parameter.size() > 3 ? ((NDLNode<ElemType>*)params[3])->GetScalar() : 1; // BUGBUG: This comes through MBLayout, and should be forbidden.
+                ImageLayoutKind imageLayoutKind = ImageLayoutKindFrom(node->GetOptionalParameter("imageLayout", "HWC"));
 
-                nodePtr = builder.CreateInputNode(name, ImageLayoutWHC(imageWidth, imageHeight, imageChannels), numImages);
+                nodePtr = builder.CreateInputNode(name, ImageDimensions::AsTensorShape(imageWidth, imageHeight, imageChannels, imageLayoutKind), numImages);
             }
         }
         else if (cnNodeType == L"SparseImageInput")
@@ -126,8 +127,9 @@ namespace Microsoft { namespace MSR { namespace CNTK {
                 size_t imageHeight = ((NDLNode<ElemType>*)params[1])->GetScalar();
                 size_t imageChannels = ((NDLNode<ElemType>*)params[2])->GetScalar();
                 size_t numImages = parameter.size() > 3 ? ((NDLNode<ElemType>*)params[3])->GetScalar() : 1;
+                ImageLayoutKind imageLayoutKind = ImageLayoutKindFrom(node->GetOptionalParameter("imageLayout", "HWC"));
 
-                nodePtr = builder.CreateSparseInputNode(name, ImageLayoutWHC(imageWidth, imageHeight, imageChannels), numImages);
+                nodePtr = builder.CreateSparseInputNode(name, ImageDimensions::AsTensorShape(imageWidth, imageHeight, imageChannels, imageLayoutKind), numImages);
             }
         }
         else if (OperationNameOf(LearnableParameter) == cnNodeType)
@@ -323,7 +325,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
                 size_t img_channels = node->GetOptionalParameter("imageChannels", "0");
 
                 bool needGradient = node->GetOptionalParameter("needGradient", "false");
-                nodePtr = builder.Reshape(NULL, num_rows, ImageLayoutWHC(img_width, img_height, img_channels), name);
+                nodePtr = builder.Reshape(NULL, num_rows, ImageDimensions::AsTensorShape(img_width, img_height, img_channels, ImageLayoutKind::HWC/*legacy*/), name);   // BUGBUG: use a tensor descriptor instead
                 nodePtr->SetParameterUpdateRequired(needGradient);
             }
         }
@@ -383,16 +385,15 @@ namespace Microsoft { namespace MSR { namespace CNTK {
                 size_t outputChannels = ((NDLNode<ElemType>*)params[id++])->GetScalar();
                 size_t horizontalSubsample = ((NDLNode<ElemType>*)params[id++])->GetScalar();
                 size_t verticalSubsample = ((NDLNode<ElemType>*)params[id++])->GetScalar();
-            
                 assert (id == 5);
 
-                //optional
+                // optional
+                ImageLayoutKind imageLayoutKind = ImageLayoutKindFrom(node->GetOptionalParameter("imageLayout", "HWC"));
                 bool zeroPadding = node->GetOptionalParameter("zeroPadding", "false");
                 size_t maxTempMemSizeInSamples = node->GetOptionalParameter("maxTempMemSizeInSamples", "0");
 
-
                 nodePtr = builder.Convolution(NULL, NULL, kernelWidth, kernelHeight, outputChannels,
-                                              horizontalSubsample, verticalSubsample, zeroPadding, name, maxTempMemSizeInSamples);
+                                              horizontalSubsample, verticalSubsample, imageLayoutKind, zeroPadding, maxTempMemSizeInSamples, name);
             }
         }
         else if (cnNodeType == OperationNameOf(MaxPoolingNode))
@@ -415,11 +416,12 @@ namespace Microsoft { namespace MSR { namespace CNTK {
                 size_t windowHeight = ((NDLNode<ElemType>*)params[id++])->GetScalar();
                 size_t horizontalSubsample = ((NDLNode<ElemType>*)params[id++])->GetScalar();
                 size_t verticalSubsample = ((NDLNode<ElemType>*)params[id++])->GetScalar();
-            
                 assert (id == 4);
 
+                ImageLayoutKind imageLayoutKind = ImageLayoutKindFrom(node->GetOptionalParameter("imageLayout", "HWC"));
+
                 nodePtr = builder.MaxPooling(NULL, /*inputWidth,inputHeight, channels,*/windowWidth, windowHeight,
-                                             horizontalSubsample, verticalSubsample, name);
+                    horizontalSubsample, verticalSubsample, imageLayoutKind, name);
             }
         }
         else if (cnNodeType == OperationNameOf(AveragePoolingNode))
@@ -442,11 +444,12 @@ namespace Microsoft { namespace MSR { namespace CNTK {
                 size_t windowHeight = ((NDLNode<ElemType>*)params[id++])->GetScalar();
                 size_t horizontalSubsample = ((NDLNode<ElemType>*)params[id++])->GetScalar();
                 size_t verticalSubsample = ((NDLNode<ElemType>*)params[id++])->GetScalar();
+                assert(id == 4);
 
-                assert (id == 4);
+                ImageLayoutKind imageLayoutKind = ImageLayoutKindFrom(node->GetOptionalParameter("imageLayout", "HWC"));
 
                 nodePtr = builder.AveragePooling(NULL, /*inputWidth,inputHeight, channels,*/windowWidth, windowHeight,
-                                                 horizontalSubsample, verticalSubsample, name);
+                                                 horizontalSubsample, verticalSubsample, imageLayoutKind, name);
             }
         }
         else if (cnNodeType == OperationNameOf(BatchNormalizationNode))
diff --git a/Source/CNTK/stdafx.h b/Source/CNTK/stdafx.h
index 36e633f71..8c8ad295f 100644
--- a/Source/CNTK/stdafx.h
+++ b/Source/CNTK/stdafx.h
@@ -11,7 +11,9 @@
 #pragma once
 
 #ifdef _WIN32
-#define _CRT_SECURE_NO_WARNINGS // "secure" CRT not available on all platforms
+#ifndef _CRT_SECURE_NO_WARNINGS
+#define _CRT_SECURE_NO_WARNINGS // "secure" CRT not available on all platforms  --add this at the top of all CPP files that give "function or variable may be unsafe" warnings
+#endif
 #include "targetver.h"
 #endif
 
diff --git a/Source/Common/DataReader.cpp b/Source/Common/DataReader.cpp
index 041143caa..70ed0379d 100644
--- a/Source/Common/DataReader.cpp
+++ b/Source/Common/DataReader.cpp
@@ -7,6 +7,10 @@
 //
 
 #include "stdafx.h"
+#ifndef _CRT_SECURE_NO_WARNINGS
+#define _CRT_SECURE_NO_WARNINGS // "secure" CRT not available on all platforms  --add this at the top of all CPP files that give "function or variable may be unsafe" warnings
+#endif
+
 #define DATAREADER_LOCAL
 #include "Basics.h"
 #include "DataReader.h"
diff --git a/Source/Common/Include/DataTensor.h b/Source/Common/Include/DataTensor.h
index f13f9d4e9..114c82d92 100644
--- a/Source/Common/Include/DataTensor.h
+++ b/Source/Common/Include/DataTensor.h
@@ -11,6 +11,7 @@
 #include "File.h"
 #include <vector>
 #include <string>
+#include <array>
 
 namespace Microsoft { namespace MSR { namespace CNTK {
 
@@ -83,23 +84,95 @@ namespace Microsoft { namespace MSR { namespace CNTK {
     //  - Matrix lib will contain overloads for relevant operations that take Tensor& instead of Matrix&.
     //  - elementwise ops will go through a single bottleneck function that deals with matching dimensions (extend, broadcast) and flattening
 
+#if 1
+    template<typename T>
+    class SmallVector
+    {
+        T m_data[12];
+        size_t m_size;
+#ifdef _DEBUG
+        void DebugWipe() { memset(m_data, 0, sizeof(m_data)); } // initialize to 0 to make it look prettier in the debugger
+#else
+        void DebugWipe() { }
+#endif
+    public:
+        size_t capacity() const { return _countof(m_data); }
+        size_t size() const { return m_size; }
+        const T * data() const { return m_data; }
+        void clear() { m_size = 0; }
+        void push_back(const T & val) { if (m_size >= capacity()) LogicError("SmallVector: push_back() exceeded capacity of %d", (int)capacity()); m_data[m_size++] = val; }
+        void resize(size_t sz, const T & val) { if (sz < m_size) m_size = sz; else while (m_size < sz) push_back(val); }
+        void assign(size_t sz, const T & val) { clear(); resize(sz, val); }
+        template<class ITER>
+        void append(ITER beg, const ITER & end) { while (beg != end) push_back(*beg++); }
+        template<class ITER>
+        void assign(ITER beg, const ITER & end) { clear(); append(beg,end); }
+        void operator=(const SmallVector & other) { m_size = other.m_size; memcpy(m_data, other.m_data, other.m_size * sizeof(T)); }
+        SmallVector(const SmallVector & other) { DebugWipe(); *this = other; }
+        SmallVector(size_t sz, const T & val) { DebugWipe(); assign(sz, val); }
+        SmallVector(size_t sz) : SmallVector(sz, 0) { }
+        SmallVector() : SmallVector(0) { }
+        SmallVector(const std::vector<T>           & v) { DebugWipe(); assign(v.begin(), v.end()); }
+        SmallVector(const std::initializer_list<T> & l) { DebugWipe(); assign(l.begin(), l.end()); }
+        bool operator==(const SmallVector & other) const { return size() == other.size() && !memcmp(data(), other.data(), other.m_size * sizeof(T)); }
+        bool operator!=(const SmallVector & other) const { return !operator==(other); } // duh
+        T   operator[](size_t i) const { if (i >= size()) LogicError("SmallVector: index overflow"); return m_data[i]; }
+        T & operator[](size_t i)       { if (i >= size()) LogicError("SmallVector: index overflow"); return m_data[i]; }
+        const T * begin() const { return data(); }
+        const T *   end() const { return data() + size(); }
+        T   back() const { if (empty()) LogicError("SmallVector: back() called on empty vector"); return m_data[m_size - 1]; }
+        T & back()       { if (empty()) LogicError("SmallVector: back() called on empty vector"); return m_data[m_size - 1]; }
+        bool empty() const { return size() == 0; }
+        void resize(size_t sz) { resize(sz, 0); }
+    };
+#else
+    template<typename T>
+    class SmallVector : vector<T>
+    {
+        typedef vector<T> Base;
+    public:
+        SmallVector() { }
+        SmallVector(SmallVector && other) : Base(std::move(other)) { }
+        SmallVector(const SmallVector & other) : Base(other) { }
+        SmallVector(size_t sz) : Base(sz) { }
+        SmallVector(size_t sz, const T & val) : Base(sz, val) { }
+        SmallVector(const std::initializer_list<T> & l) : Base(l) { }
+        SmallVector(const std::vector<T> & v) : Base(v) { }
+        template<class ITER>
+        void assign(const ITER & beg, const ITER & end) { Base::assign(beg, end); }
+        void assign(size_t sz, const T & val) { Base::assign(sz, val); }
+        template<class ITER>
+        void append(ITER beg, const ITER & end) { Base::insert(Base::end(), beg, end); }
+        void push_back(const T & val) { Base::push_back(val); }
+        size_t size() const { return Base::size(); }
+        bool empty() const { return size() == 0; }
+        void resize(size_t sz) { Base::resize(sz); }
+        void resize(size_t sz, const T & val) { Base::resize(sz, val); }
+        const T * begin() const { return Base::data(); }
+        const T *   end() const { return Base::data() + size();   }
+        const T & back() const { return Base::back(); }
+        void operator=(const SmallVector & other) { Base::operator=(other); }
+        bool operator==(const SmallVector & other) const { return (const Base&)*this == (const Base&)other; }
+        T operator[](size_t i) const { return Base::operator[](i); }
+        T & operator[](size_t i) { return Base::operator[](i); }
+    };
+#endif
+
     struct TensorShape
     {
     public:
         // main constructor (from vector that holds dimensions)
-        //template<class VEC>
-        //TensorShape(const VEC & dims) { m_dims.assign(dims.begin(), dims.end()); InitAsNoSlice(); }
         template<size_t N>
         TensorShape(const std::array<size_t, N> & dims) { m_dims.assign(dims.begin(), dims.end()); InitAsNoSlice(); }
-        TensorShape(const std::vector<size_t> &   dims) { m_dims.assign(dims.begin(), dims.end()); InitAsNoSlice(); }
-        TensorShape(      std::vector<size_t> &&  dims) : m_dims(std::move(dims)) { InitAsNoSlice(); }
+        TensorShape(const SmallVector<size_t> &   dims) { m_dims.assign(dims.begin(), dims.end()); InitAsNoSlice(); }
+        TensorShape(      SmallVector<size_t> &&  dims) : m_dims(std::move(dims)) { InitAsNoSlice(); }
 
         // convenience constructors, e,g. for test code
-        explicit TensorShape(size_t I) : TensorShape(std::vector<size_t> { I }) { }
-        TensorShape(size_t I, size_t J) : TensorShape(std::vector<size_t> { I, J }) { }
-        TensorShape(size_t I, size_t J, size_t K) : TensorShape(std::vector<size_t> { I, J, K }) { }
-        TensorShape(size_t I, size_t J, size_t K, size_t L) : TensorShape(std::vector<size_t> { I, J, K, L }) { }
-        TensorShape(size_t I, size_t J, size_t K, size_t L, size_t M) : TensorShape(std::vector<size_t> { I, J, K, L, M }) { }
+        explicit TensorShape(size_t I) : TensorShape(SmallVector<size_t> { I }) { }
+        TensorShape(size_t I, size_t J) : TensorShape(SmallVector<size_t> { I, J }) { }
+        TensorShape(size_t I, size_t J, size_t K) : TensorShape(SmallVector<size_t> { I, J, K }) { }
+        TensorShape(size_t I, size_t J, size_t K, size_t L) : TensorShape(SmallVector<size_t> { I, J, K, L }) { }
+        TensorShape(size_t I, size_t J, size_t K, size_t L, size_t M) : TensorShape(SmallVector<size_t> { I, J, K, L, M }) { }
 
         // default constructor
         TensorShape() { InitAsNoSlice(); }
@@ -164,29 +237,28 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         // accessors
         size_t GetDim(size_t k) const { return m_dims[k]; }
         size_t GetRank() const { return m_dims.size(); }
-        size_t GetNumElements() const { size_t res = 1; for (auto & dim : m_dims) res *= dim; return res; } // in slice
+        size_t GetNumElements() const { if (m_dims.empty()) return 0; size_t res = 1; for (auto & dim : m_dims) res *= dim; return res; } // in slice
+        size_t GetAllocation() const { return m_allocation; }
         size_t GetOffset() const { return m_offset; }
 
         // vector-like accessors
         size_t operator[](size_t k) const { return GetDim(k); }
         size_t size() const { return GetRank(); }
 
-        const std::vector<size_t> & GetDims() const { return m_dims; }    // get all, e.g. for logging or for constructing derived tensors with edited dimensions
-        const std::vector<ptrdiff_t> & GetStrides() const { return m_strides; }
+        const SmallVector<size_t> & GetDims() const { return m_dims; }    // get all, e.g. for logging or for constructing derived tensors with edited dimensions
+        const SmallVector<ptrdiff_t> & GetStrides() const { return m_strides; }
 
         // interpretation as an image tensor
-        size_t GetNumChannels() const { return m_dims.size() > 0 ? m_dims[0] : 1; }
-        size_t GetWidth()       const { return m_dims.size() > 1 ? m_dims[1] : 1; }
-        size_t GetHeight()      const { return m_dims.size() > 2 ? m_dims[2] : 1; }
-        // heuristics used for pretty-printing
-        // TODO: This will go away.
-        bool IsInputAnImage() const { return GetRank() == 3 && (GetWidth() != 1 || GetNumChannels() != 1); }
+        //size_t GetNumChannels() const { if (m_dims.empty()) return 0; else return m_dims.size() > 0 ? m_dims[0] : 1; }
+        //size_t GetWidth()       const { if (m_dims.empty()) return 0; else return m_dims.size() > 1 ? m_dims[1] : 1; }
+        //size_t GetHeight()      const { if (m_dims.empty()) return 0; else return m_dims.size() > 2 ? m_dims[2] : 1; }
+        // legacy helper function for RowSliceNode. Will go away.
         bool IsVectorStoredAsImage() const { return GetRank() == 3 && m_dims[0] == 1 && m_dims[1] == 1; }
 
         // indexing
         // Determines the offset into the underlying element array for a given multi-dimensional index.
         // This function is for reference. Probably not often used.
-        size_t Locate(const std::vector<size_t> & index) const
+        size_t Locate(const SmallVector<size_t> & index) const
         {
             ptrdiff_t location = m_offset;
             for (size_t k = 0; k < index.size(); k++)
@@ -213,11 +285,10 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             else
                 return m_strides[k] == m_strides[k - 1] * (ptrdiff_t)m_dims[k - 1];
         }
-        // editing functions
-        // These all create new TensorShape objects.
-        TensorShape Flatten(size_t k) const  // flatten [k] with [k-1]
+        // editing functions for tensor operations
+        // Unlike other methods, these are in-place.
+        TensorShape & FlattenInPlace(size_t k)  // flatten [k] with [k-1]
         {
-            TensorShape result = *this;
             if (!CanFlatten(k))
                 LogicError("Flatten() cannot flatten dimensions with gaps");
             // We reshape local (I x J) sub-matrices to (1 x I*J) sub-matrices.
@@ -228,16 +299,15 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             //   m_dims    =   I   1    J*K   L
             //   m_strides =   1   I    I     I*J*K
             // TODO: rethink whether this is correct for example of negative strides
-            result.m_dims[k] *= result.m_dims[k - 1];
-            result.m_dims[k - 1] = 1;
-            result.m_strides[k] = /*result.m_dims[k - 1] *, it's 1 */ result.m_strides[k - 1];
-            return result;
+            m_dims[k] *= m_dims[k - 1];
+            m_dims[k - 1] = 1;
+            m_strides[k] = /*m_dims[k - 1] *, it's 1 */ m_strides[k - 1];
+            return *this;
         }
-        TensorShape DropDims(const std::vector<bool> & toDrop) const  // remove dimension
+        TensorShape & DropDimsInPlace(const SmallVector<bool> & toDrop)   // remove dimension
         {
             // this deletes a dimension while retaining strides
             // This implies a slice to [0] for this dimension.
-            TensorShape result = *this;
             size_t j = 0;
             for (size_t k = 0; k < size(); k++)
             {
@@ -251,40 +321,60 @@ namespace Microsoft { namespace MSR { namespace CNTK {
                     // dropping the second dimension
                     //   m_dims    =   I   %    J   K
                     //   m_strides =   1   %    I   I*J
-                    result.m_dims[j] = result.m_dims[k];
-                    result.m_strides[j] = result.m_strides[k];
+                    m_dims[j]    = m_dims[k];
+                    m_strides[j] = m_strides[k];
                     j++;
                 }
             }
-            result.m_dims.resize(j);
-            result.m_strides.resize(j);
-            return result;
+            m_dims.resize(j);
+            m_strides.resize(j);
+            return *this;
         }
-        TensorShape WithBroadcastStrides() const  // flatten [k] with [k-1] if toFlatten[k] is set
+        TensorShape DropDims(const SmallVector<bool> & toDrop) const
         {
-            TensorShape result = *this;
-            for (size_t k = 0; k < size(); k++)
-                if (result.m_dims[k] == 1)
-                    result.m_strides[k] = 0;
+            TensorShape result(*this);
+            result.DropDimsInPlace(toDrop);
             return result;
         }
-        TensorShape Pad(size_t numDims) const               // append singleton dimensions
+        TensorShape & SetBroadcastStrides()   // set strides to 0 for broadcasting dimensions
+        {
+            for (size_t k = 0; k < size(); k++)
+                if (m_dims[k] == 1)
+                    m_strides[k] = 0;
+            return *this;
+        }
+        TensorShape & PadInPlace(size_t numDims)                // append singleton dimensions
         {
             VerifyIsDense();
             if (numDims < GetRank())
                 LogicError("Pad() cannot drop a shorten the dimensions.");
-            else if (numDims == GetRank())
-                return *this;
-            auto dims = GetDims();
-            dims.resize(numDims, 1);
-            return TensorShape(std::move(dims));
+            else while (GetRank() < numDims)
+            {
+                m_strides.push_back(GetRank() > 0 ? m_strides.back() * (ptrdiff_t)m_dims.back() : 1);
+                m_dims.push_back(1);
+            }
+            return *this;
         }
-        TensorShape Concat(const TensorShape & other) const // concatenate
+        //TensorShape Concat(const TensorShape & other) const // concatenate
+        //{
+        //    auto dims = GetDims();
+        //    auto otherDims = other.GetDims();
+        //    dims.append(otherDims.begin(), otherDims.end());
+        //    return TensorShape(std::move(dims));
+        //}
+        TensorShape & AppendInPlace(size_t rank, size_t newDim)  // concatenate one new dimension at position 'rank'
         {
-            auto dims = GetDims();
-            auto otherDims = other.GetDims();
-            dims.insert(dims.end(), otherDims.begin(), otherDims.end());
-            return TensorShape(std::move(dims));
+            PadInPlace(rank);
+            m_strides.push_back(GetRank() > 0 ? m_strides.back() * (ptrdiff_t)m_dims.back() : 1);
+            m_dims.push_back(newDim);
+            m_allocation *= newDim;
+            return *this;
+        }
+        TensorShape Append(size_t rank, size_t newDim) const
+        {
+            TensorShape result(*this);
+            result.AppendInPlace(rank, newDim);
+            return result;
         }
 
         // pretty-printing. Returns tensor dims in the form "I x J x K".
@@ -322,8 +412,8 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         }
 
     private:
-        std::vector<size_t> m_dims;     // dimensions of tensor or tensor slice. The size of the box.
-        std::vector<ptrdiff_t> m_strides; // dimension gets multiplied by this for computing the index offset. How to hop to the next element in dimension[k]. Stride magic happening here!
+        SmallVector<size_t> m_dims;     // dimensions of tensor or tensor slice. The size of the box.
+        SmallVector<ptrdiff_t> m_strides; // dimension gets multiplied by this for computing the index offset. How to hop to the next element in dimension[k]. Stride magic happening here!
         size_t m_offset;                // offset to element(0,0,...,0). May be non-0 in case of slicing.
         size_t m_allocation;            // allocation size of original dense tensor
         // For a regular tensor, there are no strides, m_strides[k] = m_strides[k-1] * m_dims[k-1]. This is how TensorShapes are created from dimensions.
@@ -355,15 +445,61 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         // TODO: Does the same trick work for 2D images?
     };
 
-    // When constructing an image tensor with the usual W, H, C format, use the following function instead.
-    // This will sort the three parameters into the correct order.
-    // BUGBUG: at several places, a comment says "after multiplication the structure is lost" and the vector dimension
-    //         is set as the image height. However, the image height is actually the wrong dimension since images are assumed transposed.
-    //         This will get fixed once we get more complete arbitrary tensor support throughout, including better-defined inference rules.
-    static inline TensorShape ImageLayoutWHC(size_t width, size_t height, size_t channels)
+    // image layouts used in CNTK
+    // Nodes that do semantic interpretation of width, height, channel information must know which index they are in.
+    // Eventually this can go away once we switch completely to cudnn layout.
+    // The cudnn layout is actually our layout in order W,H,C.
+    enum ImageLayoutKind
     {
-        return TensorShape(channels, width, height);
+        HWC,    // legacy; default for NDL
+        CHW     // cudnn; default for BrainScript
+    };
+    static inline std::string ToString(ImageLayoutKind imageLayoutKind)
+    {
+        if       (imageLayoutKind == ImageLayoutKind::CHW) return "CHW";
+        else  if (imageLayoutKind == ImageLayoutKind::HWC) return "HWC";
+        else LogicError("ImageLayout: Invalid ImageLayoutKind");
     }
-    // TODO: we need a constructor from config; that will allow us to generalize
+    static inline ImageLayoutKind ImageLayoutKindFrom(const wstring & s)
+    {
+        if      (s == L"CHW" || s == L"cudnn")  return ImageLayoutKind::CHW;
+        else if (s == L"HWC" || s == L"legacy") return ImageLayoutKind::HWC;
+        else InvalidArgument("ImageLayoutKindFrom: Unknown ImageLayoutKind '%ls', must be 'CHW' (cudnn) or 'HWC' (CNTK legacy)", s.c_str());
+    }
+
+    // interpret TensorShape as an image descriptor
+    // considering that we support two ways of storingimages
+    struct ImageDimensions
+    {
+        size_t m_width, m_height, m_numChannels;
+        // interpret TensorShape as image
+        ImageDimensions(const TensorShape & shape, ImageLayoutKind imageLayoutKind)
+        {
+            if (shape.GetRank() != 3)
+                InvalidArgument("Convolution operation currently only supports 1D or 2D convolution on 3D tensors.");
+            if (imageLayoutKind == ImageLayoutKind::CHW)
+            {
+                m_width       = shape[0];
+                m_height      = shape[1];
+                m_numChannels = shape[2];
+            }
+            else  if (imageLayoutKind == ImageLayoutKind::HWC)
+            {
+                m_width       = shape[1];
+                m_height      = shape[2];
+                m_numChannels = shape[0];
+            }
+            else LogicError("WHC: Invalid ImageLayoutKind");
+        }
+        ImageDimensions(size_t width, size_t height, size_t numChannels) : m_width(width), m_height(height), m_numChannels(numChannels) {}
+        // intepret image as TensorShape
+        static TensorShape AsTensorShape(size_t width, size_t height, size_t numChannels, ImageLayoutKind imageLayoutKind/* = ImageLayoutKind::HWC*/)
+        {
+            if       (imageLayoutKind == ImageLayoutKind::CHW) return TensorShape(width, height, numChannels);
+            else  if (imageLayoutKind == ImageLayoutKind::HWC) return TensorShape(numChannels, width, height);
+            else LogicError("ImageLayout: Invalid ImageLayoutKind");
+        }
+        TensorShape AsTensorShape(ImageLayoutKind imageLayoutKind) { return AsTensorShape(m_width, m_height, m_numChannels, imageLayoutKind); }
+    };
 
 }}}
diff --git a/Source/Common/Include/ScriptableObjects.h b/Source/Common/Include/ScriptableObjects.h
index 2952d4f03..cba1a66d8 100644
--- a/Source/Common/Include/ScriptableObjects.h
+++ b/Source/Common/Include/ScriptableObjects.h
@@ -489,7 +489,7 @@ namespace Microsoft { namespace MSR { namespace ScriptableObjects {
             std::vector<C> res;
             res.reserve(GetSize(Fail));
             for (const auto & val : values)
-                res.push_back(val);
+                res.push_back(val.ResolveValue());  // resolve upon access
             return res;
         }
     };
diff --git a/Source/Common/Include/Sequences.h b/Source/Common/Include/Sequences.h
index 4c4f17035..48253516f 100644
--- a/Source/Common/Include/Sequences.h
+++ b/Source/Common/Include/Sequences.h
@@ -196,7 +196,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
                 LogicError("AddSequence: Sequence added to an MBLayout must overlap with minibatch.");
 
             // remember it
-#ifdef _DEBUG
+#if 0//def _DEBUG
             auto cap = m_sequences.capacity();  // Some sanity check for debugging a speed regression. This should only show up during the first minibatches, and growing only.
             m_sequences.push_back(seqDesc);
             if (cap != m_sequences.capacity())
diff --git a/Source/ComputationNetworkLib/CompositeComputationNodes.h b/Source/ComputationNetworkLib/CompositeComputationNodes.h
index 577e4dd2d..f8f79dc21 100644
--- a/Source/ComputationNetworkLib/CompositeComputationNodes.h
+++ b/Source/ComputationNetworkLib/CompositeComputationNodes.h
@@ -110,6 +110,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         virtual void /*ComputationNodeBase::*/Validate(bool isFinalValidationPass) override
         {
             Base::Validate(isFinalValidationPass);
+            InferMBLayoutFromInputsForStandardCase();
 
             size_t rows1, cols1;
             rows1 = Input(1)->GetNumRows();
@@ -124,10 +125,10 @@ namespace Microsoft { namespace MSR { namespace CNTK {
 
             size_t rows = rows0 + rows1;
             size_t cols = cols0;
-            SetDims(rows, cols);
 
-            InferMBLayoutFromInputsForStandardCase();
-            InferImageDimsFromInput(0);
+            SetDims(TensorShape(rows), cols);
+            m_sampleLayout = GetInputSampleLayout(0);
+            // BUGBUG: Inconsistent with 'rows'
         }
 
     public:
@@ -142,20 +143,20 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             f1 = Input(1)->Value();
             func = Value();
 
-            Input(0)->SetDims(nInput0, nT);
+            Input(0)->SetDims1(nInput0, nT);
             Input(0)->UpdateFunctionValuesSize();
             Input(0)->Value().SetValue(0);
             Input(0)->Value()(0, 0) = 1;
             Input(0)->Value()(0, 1) = 2;
             Input(0)->Value()(0, 2) = 3;
 
-            Input(1)->SetDims(nInput1, nT);
+            Input(1)->SetDims1(nInput1, nT);
             Input(1)->UpdateFunctionValuesSize();
             Input(1)->Value().SetValue(0);
             Input(1)->Value()(0, 0) = 4;
             Input(1)->Value()(0, 1) = 5;
             Input(1)->Value()(0, 2) = 6;
-            SetDims(nInput0 + nInput1, nT);
+            SetDims1(nInput0 + nInput1, nT);
             UpdateFunctionValuesSize();
 
             ForwardProp(FrameRange(m_pMBLayout));
@@ -250,7 +251,8 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             Base::Load(fstream, modelVersion);
             fstream >> m_hasComputed;
             LoadValue(fstream);
-         }
+            // Note: This loses the sample layout, but that is recovered by Validate().
+        }
 
         virtual void DumpNodeInfo(const bool printValues, File& fstream) const override
         {
@@ -268,15 +270,14 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         virtual void /*ComputationNodeBase::*/Validate(bool isFinalValidationPass) override
         {
             Base::Validate(isFinalValidationPass);
-
             if (!Input(0)->HasMBLayout())
                 InvalidArgument("%ls %ls operation requires its input to come in minibatches of samples.", NodeName().c_str(), OperationName().c_str());
             m_pMBLayout = nullptr;    // this node does not hold mini-batch data
+
             if (!m_hasComputed) // this node retains state, and state gets destroyed by Resize(), so we must be careful
-                SetDims(Input(0)->GetNumRows(), 1);
+                SetDims(Input(0)->GetSampleLayout(), 1);
             else
                 VerifyDims(Input(0)->GetNumRows(), 1);
-            InferImageDimsFromInputs();
         }
 
         virtual void CopyTo(ComputationNodeBasePtr nodeP, const std::wstring& newName, const CopyNodeFlags flags) const override
@@ -609,6 +610,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         virtual void /*ComputationNodeBase::*/Validate(bool isFinalValidationPass) override
         {
             Base::Validate(isFinalValidationPass);
+            InferMBLayoutFromInputsForStandardCase();
 
             if (Input(0)->RequiresPreCompute())
             {
@@ -654,9 +656,8 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             // TODO: Is this correct? Why not just skip propagating a gradient into these? We should not poke around in our children.
             Input(1)->SetParameterUpdateRequired(false);
             Input(2)->SetParameterUpdateRequired(false);  //prevent learning
+
             SetDims(Input(0));
-            InferMBLayoutFromInputsForStandardCase();
-            InferImageDimsFromInputs();
         }
     };
 
@@ -727,6 +728,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         virtual void /*ComputationNodeBase::*/Validate(bool isFinalValidationPass) override
         {
             Base::Validate(isFinalValidationPass);
+            InferMBLayoutFromInputsForStandardCase();
 
             if (Input(0)->RequiresPreCompute())
             {
@@ -776,8 +778,6 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             Input(2)->SetParameterUpdateRequired(false);
 
             SetDims(Input(0));
-            InferMBLayoutFromInputsForStandardCase();
-            InferImageDimsFromInputs();
         }
     };
 
@@ -955,8 +955,8 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             InferMBLayoutFromInputsForStandardCase();
             if (isFinalValidationPass && !m_pMBLayout)
                 RuntimeError("%ls %ls operation makes no sense without a MB layout.", NodeName().c_str(), OperationName().c_str());
+
             SetDims(Input(0));
-            InferImageDimsFromInput(0);
         }
 
     public:
@@ -971,13 +971,13 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             f0 = Input(0)->Value();
             func = Value();
 
-            Input(0)->SetDims(nInput, nT);
+            Input(0)->SetDims1(nInput, nT);
             Input(0)->UpdateFunctionValuesSize();
             Input(0)->Value().SetValue(0);
             Input(0)->Value()(0, 0) = 1;
             Input(0)->Value()(0, 1) = 2;
             Input(0)->Value()(0, 2) = 3;
-            SetDims(nOutput, nT);
+            SetDims1(nOutput, nT);
             UpdateFunctionValuesSize();
             Input(0)->Value().TransferToDeviceIfNotThere( m_deviceId, true);
             ForwardProp(FrameRange(m_pMBLayout));
diff --git a/Source/ComputationNetworkLib/ComputationNetwork.cpp b/Source/ComputationNetworkLib/ComputationNetwork.cpp
index ceb1dc951..8da7ba6c7 100644
--- a/Source/ComputationNetworkLib/ComputationNetwork.cpp
+++ b/Source/ComputationNetworkLib/ComputationNetwork.cpp
@@ -488,7 +488,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         if (minibatchDifferent)
         {
             for (ComputationNodeBasePtr node : inputs)
-                node->SetDims(node->GetNumRows(), minibatchMax);
+                node->SetNumCols(minibatchMax);
         }
     }
 
@@ -654,8 +654,12 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         {
             for (auto nodeIter = convolutionNodes.begin(); nodeIter != convolutionNodes.end(); nodeIter++)
             {
-                auto node = dynamic_pointer_cast<ConvolutionNode<float>>(*nodeIter);
-                node->SetmMaxTempMemSizeInSamples(maxTempMemSizeInSamples);
+                auto nodef = dynamic_pointer_cast<ConvolutionNode<float>>(*nodeIter);
+                if (nodef)
+                    nodef->SetmMaxTempMemSizeInSamples(maxTempMemSizeInSamples);
+                auto noded = dynamic_pointer_cast<ConvolutionNode<double>>(*nodeIter);
+                if (noded)
+                    noded->SetmMaxTempMemSizeInSamples(maxTempMemSizeInSamples);
             }
         }
     }
diff --git a/Source/ComputationNetworkLib/ComputationNetwork.h b/Source/ComputationNetworkLib/ComputationNetwork.h
index 45093c903..26b78d8be 100644
--- a/Source/ComputationNetworkLib/ComputationNetwork.h
+++ b/Source/ComputationNetworkLib/ComputationNetwork.h
@@ -279,9 +279,7 @@ public:
     {
         auto & featureNodes = FeatureNodes();
         for (auto & nodeIter : featureNodes)
-        {
-            nodeIter->SetDims(nodeIter->GetNumRows(), cols);
-        }
+            nodeIter->SetNumCols(cols);
     }
 
     // When external code (readers, namely) updates InputValue's m_value,
diff --git a/Source/ComputationNetworkLib/ComputationNetworkBuilder.cpp b/Source/ComputationNetworkLib/ComputationNetworkBuilder.cpp
index b499d826d..e794d5095 100644
--- a/Source/ComputationNetworkLib/ComputationNetworkBuilder.cpp
+++ b/Source/ComputationNetworkLib/ComputationNetworkBuilder.cpp
@@ -35,7 +35,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         // please keep this table sorted
         if      (nodeType == OperationNameOf(CRFNode))	                            return New<CRFNode<ElemType>>(forward<_Types>(_Args)...);
         else if (nodeType == OperationNameOf(ClassBasedCrossEntropyWithSoftmaxNode))return New<ClassBasedCrossEntropyWithSoftmaxNode<ElemType>>(forward<_Types>(_Args)...);
-#ifdef ENABLE_TENSORVIEW
+#ifdef ENABLE_BROADCASTING_ELEMENTTIMES
         else if (nodeType == L"ColumnElementTimes")                                 return New<ElementTimesNode<ElemType>>(forward<_Types>(_Args)...);
 #else
         else if (nodeType == OperationNameOf(ColumnElementTimesNode))               return New<ColumnElementTimesNode<ElemType>>(forward<_Types>(_Args)...);
@@ -76,7 +76,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         else if (nodeType == OperationNameOf(ReconcileMBLayoutNode))	            return New<ReconcileMBLayoutNode<ElemType>>(forward<_Types>(_Args)...);
         else if (nodeType == OperationNameOf(RectifiedLinearNode))	            return New<RectifiedLinearNode<ElemType>>(forward<_Types>(_Args)...);
         else if (nodeType == OperationNameOf(ReshapeNode))	                    return New<ReshapeNode<ElemType>>(forward<_Types>(_Args)...);
-#ifdef ENABLE_TENSORVIEW
+#ifdef ENABLE_BROADCASTING_ELEMENTTIMES
         else if (nodeType == L"RowElementTimes")	                            return New<ElementTimesNode<ElemType>>(forward<_Types>(_Args)...);
 #else
         else if (nodeType == OperationNameOf(RowElementTimesNode))	            return New<RowElementTimesNode<ElemType>>(forward<_Types>(_Args)...);
@@ -85,7 +85,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         else if (nodeType == OperationNameOf(DiagonalNode))	                    return New<DiagonalNode<ElemType>>(forward<_Types>(_Args)...);
         else if (nodeType == OperationNameOf(RowSliceNode))	                    return New<RowSliceNode<ElemType>>(forward<_Types>(_Args)...);
         else if (nodeType == OperationNameOf(RowStackNode))	                    return New<RowStackNode<ElemType>>(forward<_Types>(_Args)...);
-#ifdef ENABLE_TENSORVIEW
+#ifdef ENABLE_BROADCASTING_ELEMENTTIMES
         else if (nodeType == L"Scale")	                                            return New<ElementTimesNode<ElemType>>(forward<_Types>(_Args)...);
 #else
         else if (nodeType == OperationNameOf(ScaleNode))	                    return New<ScaleNode<ElemType>>(forward<_Types>(_Args)...);
@@ -215,37 +215,26 @@ namespace Microsoft { namespace MSR { namespace CNTK {
     template<class ElemType> shared_ptr<ComputationNode<ElemType>> ComputationNetworkBuilder<ElemType>::CreateConvolutionNode(const std::wstring & nodeName,
                                                                             const size_t kernelWidth, const size_t kernelHeight, const size_t outputChannels,
                                                                             const size_t horizontalSubsample, const size_t verticalSubsample,
-                                                                            const bool zeroPadding,
+                                                                            ImageLayoutKind imageLayoutKind, const bool zeroPadding,
                                                                             const size_t maxTempMemSizeInSamples)
     {
         return net.AddNodeToNetWithElemType(New<ConvolutionNode<ElemType>>(net.GetDeviceId(), nodeName,
-            kernelWidth, kernelHeight,
-            outputChannels,
-            horizontalSubsample,
-            verticalSubsample, zeroPadding,
-            maxTempMemSizeInSamples));
+                                                                           kernelWidth, kernelHeight, outputChannels,
+                                                                           horizontalSubsample, verticalSubsample, imageLayoutKind,
+                                                                           zeroPadding,
+                                                                           maxTempMemSizeInSamples));
     }
 
     template<class ElemType> shared_ptr<ComputationNode<ElemType>> ComputationNetworkBuilder<ElemType>::CreateMaxPoolingNode(const std::wstring & nodeName,
-        const size_t windowWidth,
-        const size_t windowHeight,
-        const size_t horizontalSubsample,
-        const size_t verticalSubsample)
+        const size_t windowWidth, const size_t windowHeight, const size_t horizontalSubsample, const size_t verticalSubsample, ImageLayoutKind imageLayoutKind)
     {
-        return net.AddNodeToNetWithElemType(New<MaxPoolingNode<ElemType>>(net.GetDeviceId(), nodeName,
-            windowWidth, windowHeight,
-            horizontalSubsample,
-            verticalSubsample));
+        return net.AddNodeToNetWithElemType(New<MaxPoolingNode<ElemType>>(net.GetDeviceId(), nodeName, windowWidth, windowHeight, horizontalSubsample, verticalSubsample, imageLayoutKind));
     }
 
-    template<class ElemType> shared_ptr<ComputationNode<ElemType>> ComputationNetworkBuilder<ElemType>::CreateAveragePoolingNode(const std::wstring & nodeName, const size_t windowWidth,
-        const size_t windowHeight, const size_t horizontalSubsample,
-        const size_t verticalSubsample)
+    template<class ElemType> shared_ptr<ComputationNode<ElemType>> ComputationNetworkBuilder<ElemType>::CreateAveragePoolingNode(const std::wstring & nodeName,
+        const size_t windowWidth, const size_t windowHeight, const size_t horizontalSubsample, const size_t verticalSubsample, ImageLayoutKind imageLayoutKind)
     {
-        return net.AddNodeToNetWithElemType(New<AveragePoolingNode<ElemType>>(net.GetDeviceId(), nodeName,
-            windowWidth, windowHeight,
-            horizontalSubsample,
-            verticalSubsample));
+        return net.AddNodeToNetWithElemType(New<AveragePoolingNode<ElemType>>(net.GetDeviceId(), nodeName, windowWidth, windowHeight, horizontalSubsample, verticalSubsample, imageLayoutKind));
     }
 
     // this is the catch-all for all cases not covered as special cases above
@@ -274,49 +263,30 @@ namespace Microsoft { namespace MSR { namespace CNTK {
 
     template<class ElemType> shared_ptr<ComputationNode<ElemType>> ComputationNetworkBuilder<ElemType>::Convolution(const ComputationNodePtr weight,
         const ComputationNodePtr inputValues,
-        const size_t kernelWidth,
-        const size_t kernelHeight,
-        const size_t outputChannels,
-        const size_t horizontalSubsample,
-        const size_t verticalSubsample,
-        const bool zeroPadding,
-        const std::wstring nodeName,
-        const size_t maxTempMemSizeInSamples)
+        const size_t kernelWidth, const size_t kernelHeight, const size_t outputChannels, const size_t horizontalSubsample, const size_t verticalSubsample, ImageLayoutKind imageLayoutKind, const bool zeroPadding, const size_t maxTempMemSizeInSamples,
+        const std::wstring nodeName)
     {
         return net.AddNodeToNetAndAttachInputs(New<ConvolutionNode<ElemType>>(net.GetDeviceId(), nodeName,
-            kernelWidth, kernelHeight,
-            outputChannels,
-            horizontalSubsample,
-            verticalSubsample, zeroPadding,
+            kernelWidth, kernelHeight, outputChannels, horizontalSubsample, verticalSubsample, imageLayoutKind, zeroPadding,
             maxTempMemSizeInSamples),
             weight, inputValues);
     }
 
     template<class ElemType> shared_ptr<ComputationNode<ElemType>> ComputationNetworkBuilder<ElemType>::MaxPooling(const ComputationNodePtr inputValues,
-        const size_t windowWidth,
-        const size_t windowHeight,
-        const size_t horizontalSubsample,
-        const size_t verticalSubsample,
+        const size_t windowWidth, const size_t windowHeight, const size_t horizontalSubsample, const size_t verticalSubsample, ImageLayoutKind imageLayoutKind,
         const std::wstring nodeName)
     {
         return net.AddNodeToNetAndAttachInputs(New<MaxPoolingNode<ElemType>>(net.GetDeviceId(), nodeName,
-            windowWidth, windowHeight,
-            horizontalSubsample,
-            verticalSubsample),
+            windowWidth, windowHeight, horizontalSubsample, verticalSubsample, imageLayoutKind),
             inputValues);
     }
 
     template<class ElemType> shared_ptr<ComputationNode<ElemType>> ComputationNetworkBuilder<ElemType>::AveragePooling(const ComputationNodePtr inputValues,
-        const size_t windowWidth,
-        const size_t windowHeight,
-        const size_t horizontalSubsample,
-        const size_t verticalSubsample,
+        const size_t windowWidth, const size_t windowHeight, const size_t horizontalSubsample, const size_t verticalSubsample, ImageLayoutKind imageLayoutKind,
         const std::wstring nodeName)
     {
         return net.AddNodeToNetAndAttachInputs(New<AveragePoolingNode<ElemType>>(net.GetDeviceId(), nodeName,
-            windowWidth, windowHeight,
-            horizontalSubsample,
-            verticalSubsample),
+            windowWidth, windowHeight, horizontalSubsample, verticalSubsample, imageLayoutKind),
             inputValues);
     }
 
@@ -486,7 +456,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         return net.AddNodeToNetAndAttachInputs(New<SumElementsNode<ElemType>>(net.GetDeviceId(), nodeName), a);
     }
 
-#ifndef ENABLE_TENSORVIEW
+#ifndef ENABLE_BROADCASTING_ELEMENTTIMES
     template<class ElemType> shared_ptr<ComputationNode<ElemType>> ComputationNetworkBuilder<ElemType>::Scale(const ComputationNodePtr scalar, const ComputationNodePtr matrix, const std::wstring nodeName)
     {
         return net.AddNodeToNetAndAttachInputs(New<ScaleNode<ElemType>>(net.GetDeviceId(), nodeName), scalar, matrix);
@@ -513,7 +483,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         return net.AddNodeToNetAndAttachInputs(New<ElementTimesNode<ElemType>>(net.GetDeviceId(), nodeName), a, b);
     }
 
-#ifndef ENABLE_TENSORVIEW
+#ifndef ENABLE_BROADCASTING_ELEMENTTIMES
     template<class ElemType> shared_ptr<ComputationNode<ElemType>> ComputationNetworkBuilder<ElemType>::RowElementTimes(const ComputationNodePtr a, const ComputationNodePtr b, const std::wstring nodeName)
     {
         return net.AddNodeToNetAndAttachInputs(New<RowElementTimesNode<ElemType>>(net.GetDeviceId(), nodeName), a, b);
diff --git a/Source/ComputationNetworkLib/ComputationNetworkBuilder.h b/Source/ComputationNetworkLib/ComputationNetworkBuilder.h
index 250b70108..0649c3204 100644
--- a/Source/ComputationNetworkLib/ComputationNetworkBuilder.h
+++ b/Source/ComputationNetworkLib/ComputationNetworkBuilder.h
@@ -46,9 +46,9 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         ComputationNodePtr CreateInputNode(const std::wstring & inputName, const TensorShape & imageLayout, const size_t numImages);
         ComputationNodePtr CreateSparseInputNode(const std::wstring & inputName, const TensorShape & imageLayout, const size_t numImages);
         ComputationNodePtr CreatePairNetworkNode(const std::wstring & inputName, const size_t rows, const size_t cols);
-        ComputationNodePtr CreateConvolutionNode(const std::wstring & nodeName, const size_t kernelWidth, const size_t kernelHeight, const size_t outputChannels, const size_t horizontalSubsample, const size_t verticalSubsample, const bool zeroPadding = false, const size_t maxTempMemSizeInSamples = 0);
-        ComputationNodePtr CreateMaxPoolingNode(const std::wstring & nodeName, const size_t windowWidth, const size_t windowHeight, const size_t horizontalSubsample, const size_t verticalSubsample);
-        ComputationNodePtr CreateAveragePoolingNode(const std::wstring & nodeName, const size_t windowWidth, const size_t windowHeight, const size_t horizontalSubsample, const size_t verticalSubsample);
+        ComputationNodePtr CreateConvolutionNode(const std::wstring & nodeName, const size_t kernelWidth, const size_t kernelHeight, const size_t outputChannels, const size_t horizontalSubsample, const size_t verticalSubsample, ImageLayoutKind imageLayoutKind, const bool zeroPadding = false, const size_t maxTempMemSizeInSamples = 0);
+        ComputationNodePtr CreateMaxPoolingNode(const std::wstring & nodeName, const size_t windowWidth, const size_t windowHeight, const size_t horizontalSubsample, const size_t verticalSubsample, ImageLayoutKind imageLayoutKind);
+        ComputationNodePtr CreateAveragePoolingNode(const std::wstring & nodeName, const size_t windowWidth, const size_t windowHeight, const size_t horizontalSubsample, const size_t verticalSubsample, ImageLayoutKind imageLayoutKind);
         // this is the catch-all for all cases not covered as special cases above
         // Unlike the specialized ones above, this one creates nodes by type given as a string.
         ComputationNodePtr CreateComputationNode(const std::wstring & nodeType, const std::wstring & nodeName);
@@ -61,25 +61,15 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         ComputationNodePtr PairNetwork(const ComputationNodePtr & a, const std::wstring nodeName = L"");
         ComputationNodePtr Convolution(const ComputationNodePtr weight,
                                        const ComputationNodePtr inputValues,
-                                       const size_t kernelWidth,
-                                       const size_t kernelHeight,
-                                       const size_t outputChannels,
-                                       const size_t horizontalSubsample,
-                                       const size_t verticalSubsample,
-                                       const bool zeroPadding = false,
-                                       const std::wstring nodeName = L"",
-                                       const size_t maxTempMemSizeInSamples = 0);
+                                       const size_t kernelWidth, const size_t kernelHeight, const size_t outputChannels,
+                                       const size_t horizontalSubsample, const size_t verticalSubsample, ImageLayoutKind imageLayoutKind,
+                                       const bool zeroPadding = false, const size_t maxTempMemSizeInSamples = 0,
+                                       const std::wstring nodeName = L"");
         ComputationNodePtr MaxPooling(const ComputationNodePtr inputValues,
-                                      const size_t windowWidth,
-                                      const size_t windowHeight,
-                                      const size_t horizontalSubsample,
-                                      const size_t verticalSubsample,
+                                      const size_t windowWidth, const size_t windowHeight, const size_t horizontalSubsample, const size_t verticalSubsample, ImageLayoutKind imageLayoutKind,
                                       const std::wstring nodeName = L"");
         ComputationNodePtr AveragePooling(const ComputationNodePtr inputValues,
-                                          const size_t windowWidth,
-                                          const size_t windowHeight,
-                                          const size_t horizontalSubsample,
-                                          const size_t verticalSubsample,
+                                          const size_t windowWidth, const size_t windowHeight, const size_t horizontalSubsample, const size_t verticalSubsample, ImageLayoutKind imageLayoutKind,
                                           const std::wstring nodeName = L"");
         ComputationNodePtr ErrorPrediction(const ComputationNodePtr a, const ComputationNodePtr b, const std::wstring nodeName = L"");
         ComputationNodePtr PerDimMeanVarNormalization(const ComputationNodePtr feature, const ComputationNodePtr mean, const ComputationNodePtr InvStdDev, const std::wstring nodeName = L"");
@@ -111,14 +101,14 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         ComputationNodePtr Hardmax(const ComputationNodePtr a, const std::wstring nodeName = L"");
         ComputationNodePtr LogSoftmax(const ComputationNodePtr a, const std::wstring nodeName = L"");
         ComputationNodePtr Sum(const ComputationNodePtr a, const std::wstring nodeName = L"");
-#ifndef ENABLE_TENSORVIEW
+#ifndef ENABLE_BROADCASTING_ELEMENTTIMES
         ComputationNodePtr Scale(const ComputationNodePtr scalar, const ComputationNodePtr matrix, const std::wstring nodeName = L"");
 #endif
         ComputationNodePtr Transpose(const ComputationNodePtr matrix, const std::wstring nodeName = L"");
         ComputationNodePtr Times(const ComputationNodePtr a, const ComputationNodePtr b, const std::wstring nodeName = L"");
         ComputationNodePtr TransposeTimes(const ComputationNodePtr a, const ComputationNodePtr b, const std::wstring nodeName = L"");
         ComputationNodePtr ElementTimes(const ComputationNodePtr a, const ComputationNodePtr b, const std::wstring nodeName = L"");
-#ifndef ENABLE_TENSORVIEW
+#ifndef ENABLE_BROADCASTING_ELEMENTTIMES
         ComputationNodePtr RowElementTimes(const ComputationNodePtr a, const ComputationNodePtr b, const std::wstring nodeName = L"");
         ComputationNodePtr ColumnElementTimes(const ComputationNodePtr a, const ComputationNodePtr b, const std::wstring nodeName = L"");
 #endif
diff --git a/Source/ComputationNetworkLib/ComputationNetworkEvaluation.cpp b/Source/ComputationNetworkLib/ComputationNetworkEvaluation.cpp
index f0b8a78dc..b55924795 100644
--- a/Source/ComputationNetworkLib/ComputationNetworkEvaluation.cpp
+++ b/Source/ComputationNetworkLib/ComputationNetworkEvaluation.cpp
@@ -645,7 +645,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
                 vector<pair<size_t, size_t>> childDims;
                 for (auto & child : children)
                     childDims.push_back(child->GetDims());
-                auto imageLayouts = node->GetImageLayouts();
+                auto sampleLayout = node->GetSampleLayout();
                 // We do call validate(final) as many times as needed, since stuff may have changed underneath.
                 node->PrintSelfBeforeValidation();
                 node->Validate(isFinalValidationPass/*final*/);      // all nodes have been visited: do verification instead of just inference
@@ -663,7 +663,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
                 for (auto & child : children)
                     newChildDims.push_back(child->GetDims());
                 unchanged &= (childDims == newChildDims);
-                unchanged &= (imageLayouts == node->GetImageLayouts());
+                unchanged &= (sampleLayout == node->GetSampleLayout());
                 unchanged &= (needsGradient == node->m_needsGradient);
                 if (isFinalValidationPass && !unchanged)
                     LogicError("ValidateSubNetwork: %ls %ls operation changed during final validation.", node->NodeName().c_str(), node->OperationName().c_str());
diff --git a/Source/ComputationNetworkLib/ComputationNode.cpp b/Source/ComputationNetworkLib/ComputationNode.cpp
index e957851b1..155abbdd5 100644
--- a/Source/ComputationNetworkLib/ComputationNode.cpp
+++ b/Source/ComputationNetworkLib/ComputationNode.cpp
@@ -11,7 +11,13 @@
 #include "ComputationNetworkBuilder.h"  // TODO: We should only pull in NewComputationNodeFromConfig(). Nodes should not know about network at large.
 #include "DataTensor.h"
 
-namespace Microsoft { namespace MSR { namespace CNTK {
+#ifndef let
+#define let const auto
+#endif
+
+namespace Microsoft {
+    namespace MSR {
+        namespace CNTK {
 
     using namespace std;
 
@@ -50,8 +56,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         assert(m_inputs.size() == 1);
         ComputationNodeBase::Validate(isFinalValidationPass);
         InferMBLayoutFromInputsForStandardCase();
-        SetDims(m_inputs[0]);
-        InferImageDimsFromInputs();
+        SetDims(Input(0));
     }
     // binary zip operation, e.g. Plus
     // If allowScaling then one can be a sub-dimension of the other (if layout then only for rows, otherwise for cols, too).
@@ -67,6 +72,8 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         size_t rows0 = Input(0)->GetNumRows(), cols0 = Input(0)->GetNumCols();
         size_t rows1 = Input(1)->GetNumRows(), cols1 = Input(1)->GetNumCols();
 
+#if 1//ndef ENABLE_TENSORVIEW
+        // TODO: This test will go away once we switch to full tensor lib.
         if (isFinalValidationPass && !(
                (rows0 == rows1 && (Input(0)->GetMBLayout() == Input(1)->GetMBLayout() || cols0 == cols1)) ||                                  // matching size (obvious case)
                (allowMultiples && (rows0 == 1 || rows1 == 1) && (Input(0)->GetMBLayout() == Input(1)->GetMBLayout() || cols0 == cols1)) ||    // one is row vec
@@ -75,9 +82,32 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         {
             LogicError("The Matrix dimensions in the %ls %ls operation do not match.", NodeName().c_str(), OperationName().c_str());
         }
+#else
+        rows0; rows1;
+#endif
 
-        SetDims(max(rows0, rows1), GetMBLayout() ? GetMBLayout()->GetNumCols() : max(cols0, cols1));
-        InferImageDimsFromInputs();
+        // result has tensor shape with dimensions being the max over both
+        let shape0 = GetInputSampleLayout(0);
+        let shape1 = GetInputSampleLayout(1);
+        SmallVector<size_t> dims = shape0.GetDims();
+        if (shape1.GetRank() > dims.size())
+            dims.resize(shape1.GetRank(), 1);  // pad with ones
+
+        // If rank of [0] is higher than we only need to take max over rank [1].
+        // If rank of [1] is higher then we have padded to equal lentgh.
+        for (size_t k = 0; k < shape1.GetRank(); k++)
+        {
+            size_t dim1 = shape1[k];
+            if (dims[k] == 1)           // is [0] broadcasting?
+                dims[k] = dim1;         // then use dimension we broadcast to
+            else if (dim1 == 1)         // if [1] is broadcasting
+                ;                       // dims is already correct
+            else if (dim1 != dims[k])   // no broadcasting: they must match
+                InvalidArgument("%ls %ls operation: Input dimensions [%s] and [%s] are not compatible.",
+                                NodeName().c_str(), OperationName().c_str(), string(shape0).c_str(), string(shape1).c_str());
+        }
+
+        SetDims(TensorShape(dims), GetMBLayout() ? GetMBLayout()->GetNumCols() : max(cols0, cols1));
     }
     // unary reduce-to-(1,1) operation, e.g. MatrixL1RegNode
     void ComputationNodeBase::ValidateUnaryReduce(bool isFinalValidationPass)
@@ -85,8 +115,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         assert(m_inputs.size() == 1);
         ComputationNodeBase::Validate(isFinalValidationPass);
         m_pMBLayout = nullptr;    // this node does not hold mini-batch data
-        SetDims(1, 1);
-        InferImageDimsFromInputs();
+        SetDims(TensorShape(1), 1);
     }
     // binary reduce-to-(1,1) operation, e.g. CrossEntropyWithSoftmaxNode
     // Currently only called by criterion nodes.
@@ -101,8 +130,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             !(Input(0)->GetNumRows() == Input(1)->GetNumRows() &&
               (Input(0)->HasMBLayout() || (Input(0)->GetNumCols() == Input(1)->GetNumCols()))))
             LogicError("The Matrix dimensions in the %ls %ls operation do not match.", NodeName().c_str(), OperationName().c_str());
-        SetDims(1, 1);
-        InferImageDimsFromInputs();
+        SetDims(TensorShape(1), 1);
     }
     // helper function for validation
     // In bad cases of convolution, dimensions are quite complex to know.
@@ -125,6 +153,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             ValidateInferInputDims(index, rows, cols);
         }
     }
+    // BUGBUG: Change this to take a TensorShape.
     template<class ElemType>
     void ComputationNode<ElemType>::ValidateInferInputDims(size_t i, size_t rows, size_t cols) //override final
     {
@@ -132,10 +161,11 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         {
             if (rows == 0 || cols == 0)
                 LogicError("ValidateInferInputDims: Inferred matrix must not be empty.");
-            Input(i)->SetDims(rows, cols);
+            Input(i)->SetDims(rows == Input(i)->GetNumRows() ? Input(i)->GetSampleLayout() : TensorShape(rows), cols);
+            // BUGBUG: This will loose tensor shape.
             Input(i)->Validate(true);  // validate it properly
             // BUGBUG: ^^ Validate() calls are under the control of ValidateSubNetwork(). E.g. it checks whether something has changed & re-validates until there is no change. If we validate here, the change goes unnoticed.
-            // big BUGBUG: This should do random initialization.
+            // big BUGBUG: This should do random initialization as requested by user in the first place.
             Input(i)->Value().SetValue(0);
             fprintf(stderr, "ValidateInferInputDims: %ls %ls operation inferred, resized to (%d x %d), and (incorrectly) initialized to 0.\n", Input(i)->NodeName().c_str(), Input(i)->OperationName().c_str(), (int)rows, (int)cols);
         }
@@ -145,10 +175,9 @@ namespace Microsoft { namespace MSR { namespace CNTK {
     // tensor helpers
     // -----------------------------------------------------------------------
 
-    // BUGBUG: Currently does not interpret actual ImageLayouts or convolutional models.
-    TensorShape ComputationNodeBase::GetSampleShape() const
+    const TensorShape & ComputationNodeBase::GetAndValidateSampleLayout() const
     {
-        // BUGBUG: sample layouts are not fully consistent (are they?), so we only use them if plausible
+        // validate that m_sampleLayout is plausibly configured
         bool layoutPlausible = true;
         // some code initializes it to 0 or SIZE_MAX
         for (size_t k = 0; k < m_sampleLayout.GetRank() && layoutPlausible; k++)
@@ -156,20 +185,15 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             if (m_sampleLayout.GetDim(k) == 0 || m_sampleLayout.GetDim(k) == SIZE_MAX)
                 layoutPlausible = false;
         }
-        // some code initializes it to (1,1,rowDim)
-        if (m_sampleLayout.GetRank() == 3 && m_sampleLayout.GetDim(0) == 1 && m_sampleLayout.GetDim(1) == 1)
-            layoutPlausible = false;
         // check dimension
-        if (m_numRows != m_sampleLayout.GetNumElements())
+        if (GetNumRows() != m_sampleLayout.GetNumElements())
             layoutPlausible = false;
-        if (layoutPlausible)                        // layout looks like it's OK: return it  --TODO: always just rely on m_sampleLayout
-            return m_sampleLayout;
-        else if (HasMBLayout())                     // if we have a layout, that dimension is not part of the sample shape
-            return TensorShape(GetNumRows());
-        else if (GetNumCols() == 1)                 // 1-column matrix is a vector
-            return TensorShape(GetNumRows());
-        else
-            return TensorShape(GetNumRows(), GetNumCols());
+        if (!layoutPlausible)                        // layout looks like it's OK: return it  --TODO: always just rely on m_sampleLayout
+            LogicError("GetAndValidateSampleLayout: %ls %ls operation has sample layout [%s] that is inconsistent with number of rows %d.",
+                       NodeName().c_str(), OperationName().c_str(), string(m_sampleLayout).c_str(), (int)GetNumRows());
+
+        // all good: return it
+        return GetSampleLayout();
     }
 
     // determine the sample tensor dimension to use for operations based on output and all inputs
@@ -177,10 +201,12 @@ namespace Microsoft { namespace MSR { namespace CNTK {
     size_t ComputationNodeBase::DetermineElementwiseTensorRank() const
     {
         // determine largest tensor dimension amongst the sample shapes of output and the selected inputs
-        size_t maxRank = GetSampleShape().GetRank();
+        size_t maxRank = GetAndValidateSampleLayout().GetRank();
         for (size_t i = 0; i < GetNumInputs(); i++)
         {
-            size_t rank = Input(i)->GetSampleShape().GetRank();
+            size_t rank = Input(i)->GetAndValidateSampleLayout().GetRank();
+            if (!HasMBLayout())                         // no MBLayout: last dim is column dimension
+                rank++;
             if (maxRank < rank)
                 maxRank = rank;
         }
@@ -188,36 +214,29 @@ namespace Microsoft { namespace MSR { namespace CNTK {
     }
 
     // determine the full tensor dimension including padding and multiple samples (MBLayout)
+    // but without trailing ones (assuming they will be auto-padded by the tensor op)
     TensorShape ComputationNodeBase::GetTensorShape(size_t rank, const FrameRange & fr) const
     {
-        if (!HasMBLayout())                         // no MBLayout: just return sample layout (if other participants have layout, tensor lib will broadcast)
-            return GetSampleShape().Pad(rank);
+        //GetAndValidateSampleLayout();     // no need to validate because rank comes from DetermineElementwiseTensorRank() which validates all
+        if (!HasMBLayout())
+            return GetSampleLayout().Append(GetSampleLayout().GetRank(), GetNumCols());    //  last dim is column dimension
+            // TODO: This is not nice! Instead, of no MBLayout then have sample layout explain whole matrix.
+        else if (fr.IsAllFrames())
+        {
+            // we have an MBLayout, and for refers to the entire MB
+            return GetSampleLayout().Append(rank, GetMBLayout()->GetNumCols());
+        }
+        //else if (fr.Sequence != SIZE_MAX)     // needs a slice and a two-dim tensor
+        //{
+        //    return GetAndValidateSampleLayout();  // .Append(rank, 1);  // no need to append ones
+        //}
         else
         {
-            // we have an MBLayout: append its dimensions to the tensor shape
-            auto sm = TensorShape(GetNumParallelSequences(), fr.IsAllFrames() ? GetNumTimeSteps() : 1);
-            // TODO: Can FrameRange ever refer to multiple time steps?
-            return GetSampleShape().Pad(rank).Concat(sm);
+            // we have an MBLayout, and fr refers to one frame (across all parallel sequences)
+            return GetSampleLayout().Append(rank, GetMBLayout()->GetNumParallelSequences());
         }
     }
 
-    template<class ElemType>
-    std::vector<TensorView<ElemType>> ComputationNode<ElemType>::GetTensorsForwardBinary(const FrameRange & fr)
-    {
-        const size_t N = 3;     // 2 inputs and 1 output
-        // perform operation
-        std::vector<TensorView<ElemType>> tensors;
-        size_t rank = DetermineElementwiseTensorRank();
-        for (size_t i = 0; i < N; i++)
-        {
-            auto * node = i < N - 1 ? Input(i).get() : this;    // output is ourselves
-            auto slice = node->ValueFor(i < N - 1 ? fr.AllowBroadcast() : fr);
-            auto shape = node->GetTensorShape(rank, fr);
-            tensors.push_back(TensorView<ElemType>(slice, shape));
-        }
-        return tensors;
-    }
-
     // -----------------------------------------------------------------------
     // others
     // -----------------------------------------------------------------------
@@ -286,6 +305,7 @@ namespace Microsoft { namespace MSR { namespace ScriptableObjects {
         static TensorShape TensorShapeFromConfig(const IConfigRecord & config)
         {
             const auto & valp = config[L"dims"];
+            // TODO: Add code that if input is already a tensor shape it is also OK.
             if (valp.Is<ConfigArray>())
                 return TensorShape(valp.AsRef<ConfigArray>().AsVector<size_t>([&](const wstring & msg){ valp.Fail(msg); }));
             else
diff --git a/Source/ComputationNetworkLib/ComputationNode.h b/Source/ComputationNetworkLib/ComputationNode.h
index 15caa02cf..d184a4139 100644
--- a/Source/ComputationNetworkLib/ComputationNode.h
+++ b/Source/ComputationNetworkLib/ComputationNode.h
@@ -26,12 +26,13 @@
 #include <sstream>
 #include <iostream>
 
-// #define ENABLE_TENSORVIEW   // flip this switch once the tensor lib is confirmed to be working
+// remove these following two #defines once the tensor lib works
+#define ENABLE_TENSORVIEW   // if set then tensor lib is used instead of old Matrix implementations, wherever such an implementation exists
+#define ENABLE_BROADCASTING_ELEMENTTIMES    // if set then ScaleNode and Row/ColumnElementTimes are redirected to ElementTimes
 
-//#define RNN_DEBUG 1
 #define DEFAULT_HIDDEN_ACTIVATION 0.1
 
-#pragma warning (disable: 4267)
+#pragma warning (disable: 4267) // conversion from size_t to int or other types
 
 // version number to control how to read and write 
 #define CNTK_MODEL_VERSION_1 1
@@ -97,7 +98,6 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         // Default implementations are in ComputationNodeBase or ComputationNode<ElemType>.
 
         virtual void Validate(bool isFinalValidationPass) = 0;          // main base validation function
-        virtual void InferImageDimsFromInputs() = 0;
         virtual void Save(File& fstream) const = 0;
         virtual void Load(File& /*fstream*/, size_t /*modelVersion*/) = 0;
         virtual void CopyTo(ComputationNodeBasePtr node, const std::wstring& newName, const CopyNodeFlags flags) const = 0;
@@ -267,7 +267,6 @@ namespace Microsoft { namespace MSR { namespace CNTK {
                 node->m_parameterUpdateRequired = m_parameterUpdateRequired;
                 node->m_nodeName = newName;
 
-                node->m_inputSampleLayout = m_inputSampleLayout;
                 node->m_sampleLayout = m_sampleLayout;
 
                 ComputationNetworkOwnedNodeState::CopyTo(*node);
@@ -293,7 +292,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
 
         // dimensions
 
-        size_t GetNumRows() const { return m_numRows; }
+        size_t GetNumRows() const { assert(m_numRows == m_sampleLayout.GetAllocation()); return m_numRows; }
         size_t GetNumCols() const { return m_numCols; }
         pair<size_t, size_t> GetDims() { return make_pair(GetNumRows(), GetNumCols()); }
         // TODO: add an overload SetDims(TensorShape, cols)
@@ -302,30 +301,37 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         //  - LearnableParameterNode (init, load)
         //  - InputValue (init, load)
         //  - DelayedValueNodeBase (Init())
-        // only changes col dim:
-        //  - ResizeAllFeatureNodes()
         // use a different name for these:
-        //  - ReshapeNode::UpdateFunctionMBSize()    --??
         //  - various unit tests
-        //  - ComputationNetwork::FixupInputMinibatchSize()
+        // deprecated ones:
         //  - TimeReverseNode (first step--deprecate and/or move to UpdateMB... function)
         //  - StrideTimesNode
         //  - PairNetworkNode
         //  - LSTMNode
-        //  - MultiNetworks-
-        void SetDims(size_t rows, size_t cols)
-        {
-            m_numRows = rows;
-            m_numCols = cols;
-            // actual memory allocation happens elsewhere
-        }
-        void SetDims(ComputationNodeBasePtr node) { SetDims(node->GetNumRows(), node->GetNumCols()); }
+        // set our dimensions (rows, cols, sample layout)
+        // TODO: Separate SetDims() into version with and without MBLayout.
         void SetDims(const TensorShape & sampleLayout, size_t cols)
         {
             m_sampleLayout = sampleLayout;
             m_numRows = m_sampleLayout.GetNumElements();
             m_numCols = cols;
         }
+        // copy dimensions (rows, cols, sample layout) from another node
+        void SetDims(const ComputationNodeBasePtr & node)
+        {
+            SetDims(node->GetSampleLayout(), node->GetNumCols());
+        }
+        // use this only for testing code. Everywhere else, be explicit on the TensorShape.
+        void SetDims1(size_t rows, size_t cols)
+        {
+            SetDims(TensorShape(rows), cols);
+        }
+        // update number of columns (in response to MB size)
+        void SetNumCols(size_t cols)
+        {
+            m_numCols = cols;
+            // actual memory allocation happens elsewhere
+        }
         virtual void NotifyFunctionValuesMBSizeModified() { } // someone outside changed our m_value--update our internal state, e.g. m_numRows, m_numCols
         void VerifyDims(size_t rows, size_t cols)
         {
@@ -340,11 +346,10 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         virtual void VerifyDimsMatch() const = 0;       // verify that m_value dimensions match ours
 
         const TensorShape & GetSampleLayout() const { return m_sampleLayout; }
+        bool HasSampleLayout() const { return m_sampleLayout.GetRank() != 1; }  // meaning does it have a layout that is not just a vector
     protected:
-        // TODO: There are temporarily two confusing functions; either unify them, or name them better:
-        //  - GetSampleLayout() just reads out m_sampleLayout, which is the layout of matrix coluns
-        //  - GetSampleShape() makes up a sample layout in case of a bad m_sampleLayout, and includes columns in case of no MBLayout
-        TensorShape GetSampleShape() const;             // TODO: Once numRows is consistent with m_sampleLayout, this will go away
+        // TODO: There are temporarily a second version of GetSampleLayout() that verifies that m_sampleLayout is consistent with matrix dims
+        const TensorShape & GetAndValidateSampleLayout() const;             // TODO: Once numRows is consistent with m_sampleLayout, this will go away
         size_t DetermineElementwiseTensorRank() const;
     public:
         TensorShape GetTensorShape(size_t dims, const FrameRange & fr) const;
@@ -416,7 +421,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         }
 
         const std::vector<ComputationNodeBasePtr> & GetInputs() const { return m_inputs; }
-        ComputationNodeBasePtr Input(size_t index) const { return m_inputs[index]; } // TODO: delete this; change to m_inputs
+        const ComputationNodeBasePtr & Input(size_t index) const { return m_inputs[index]; }
 
         //return true if the node's value should be computed before the normal training. e.g., mean and invStd of input features.
         virtual bool /*IComputationNode::*/RequiresPreCompute() const { return false; }
@@ -439,7 +444,8 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         }
 
         void LinkToMBLayout(MBLayoutPtr pMBLayout) { m_pMBLayout = pMBLayout; }
-        MBLayoutPtr GetMBLayout() { return m_pMBLayout; }
+        //MBLayoutPtr GetMBLayout() { return m_pMBLayout; }
+        const MBLayoutPtr & GetMBLayout() const { return m_pMBLayout; }
         bool HasMBLayout() const { return !!m_pMBLayout; }
 
         std::wstring GetName() const { return m_nodeName; }
@@ -498,9 +504,10 @@ namespace Microsoft { namespace MSR { namespace CNTK {
                     }
 
                     const char * mbSizeMark = child->m_pMBLayout ? "MBSize " : "";
-                    if (child->m_sampleLayout.GetRank() == 3 && (child->m_sampleLayout.GetWidth() != 1 || child->m_sampleLayout.GetNumChannels() != 1))  // looks like an image: use WHC notation
-                        fprintf(stderr, "%ls[%lu {W=%lu, H=%lu, C=%lu}, %s%lu]", child->NodeName().c_str(), child->GetNumRows(),
-                                child->m_sampleLayout.GetWidth(), child->m_sampleLayout.GetHeight(), child->m_sampleLayout.GetNumChannels(), mbSizeMark, child->GetNumCols());
+                    if (child->m_sampleLayout.GetRank() == 3 && (child->m_sampleLayout[1] != 1 || child->m_sampleLayout[0] != 1))  // looks like an image: use WHC notation
+                        fprintf(stderr, "%ls[%lu [%s] {W=%lu, H=%lu, C=%lu}, %s%lu]", child->NodeName().c_str(), child->GetNumRows(), string(child->m_sampleLayout).c_str(),
+                                child->m_sampleLayout[1], child->m_sampleLayout[2], child->m_sampleLayout[0], mbSizeMark, child->GetNumCols());
+                    //BUGBUG: This ^^ will print based on the old legacy layout, and we have no way of knowing here whether that is correct.
                     else if (child->m_sampleLayout.GetRank() > 1)           // tensor: output the tensor dimensions   --TODO: there will be no numRows in the future, only the tensor
                         fprintf(stderr, "%ls[%lu [%s], %s%lu]", child->NodeName().c_str(), child->GetNumRows(), string(child->m_sampleLayout).c_str(), mbSizeMark, child->GetNumCols());
                     else
@@ -535,26 +542,6 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             return !g_shareNodeValueMatrices || m_outputNeededDuringBackprop;
         }
 
-        virtual void /*IComputationNode::*/InferImageDimsFromInputs()
-        {
-            if (!IsLeaf())
-                InferImageDimsFromInput(0); //copy from child 0 by default.
-        }
-
-        virtual void ValidateInferInputDims(size_t i, size_t rows, size_t cols) = 0;
-
-        // TODO: Remove this.
-        // used from:
-        //  - Plus/Minus/ElementTimesNode --> replace by max dim over inputs. Make this standard behavior for all binary element-wise ops.
-        bool IsInputAnImage(const size_t index) const
-        {
-            return m_inputs[index]->m_sampleLayout.IsInputAnImage();
-        }
-
-        const TensorShape & GetImageLayout() const { return m_sampleLayout; }
-
-        pair<TensorShape, TensorShape> GetImageLayouts() const { return make_pair(m_inputSampleLayout, m_sampleLayout); }   // helper for Validate()
-
         const size_t GetNumInputs() const { return m_inputs.size(); }
 
         virtual void SetInput(const size_t childIndex, const ComputationNodeBasePtr& node) = 0;
@@ -611,18 +598,15 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             return true;
         }
 
+    public:
+
+        virtual void ValidateInferInputDims(size_t i, size_t rows, size_t cols) = 0;
+
     protected:
 
-        void InferImageDimsFromInput(const size_t index, const bool outputSameAsInput = true)
+        const TensorShape & GetInputSampleLayout(const size_t index) const
         {
-            if (index >= GetNumInputs())
-                InvalidArgument("InferImageDimsFromInput: output index");
-
-            const auto & child = m_inputs[index];
-            if (child != nullptr)
-                m_inputSampleLayout = child->m_sampleLayout;
-            if (outputSameAsInput)
-                m_sampleLayout = m_inputSampleLayout;
+            return m_inputs[index]->GetSampleLayout();
         }
 
         void InferMBLayoutFromInputsForStandardCase();
@@ -783,9 +767,6 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         TensorShape m_sampleLayout;    // and the output
         MBLayoutPtr m_pMBLayout;
 
-        TensorShape m_inputSampleLayout;     // how to interpret each column in the input as an image
-        // TODO: Why is the input layout not just the layout of the input node?
-
         // flags related to gradient propagation
         bool m_parameterUpdateRequired;     // update parameters? Only used for LearnableParameters.    --TODO: Should we make this a member of LearnableParameters actually? And require a type cast? Currently it is read out for all leaves.
         bool m_gradientInitialized;         // indicates whether the gradient matrix has been resized and initialized to 0
@@ -839,8 +820,8 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             CreateMatrixIfNull(m_value);
             fstream >> Value();
             // above reads dimensions, so we must update our own m_numRows/m_numCols
-            m_numRows = Value().GetNumRows();
-            m_numCols = Value().GetNumCols();
+            SetDims(TensorShape(Value().GetNumRows()), Value().GetNumCols());
+            // BUGBUG: This looses the sample layout (tensor shape). The caller must know this and fix it up if needed (currently needed for LearnableParameterNode).
         }
 
         // reader updated m_functionValue--update our internal state, i.e. m_numCols
@@ -983,7 +964,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             return result;
         }
 
-        // update size (#columns) of node to match MBLayout
+        // update size (m_numCols) of node to match MBLayout (but does not do the actual Resize())
         // This must be called right before ForwardProp() the first time for a given minibatch.
         // Currently overridden by
         //  - InputValue, which verifies instead of resizing (since Resize() is specified to be destructive, it should not call it).
@@ -995,7 +976,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         virtual void UpdateFunctionMBSize() override
         {
             if (m_pMBLayout)               // if no layout, this node contains parameters independent of MB size, don't resize
-                SetDims(GetNumRows(), m_pMBLayout->GetNumCols());
+                SetNumCols(m_pMBLayout->GetNumCols());
         }
         virtual void VerifyDimsMatch() const override final
         {
@@ -1113,9 +1094,6 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         const Matrix<ElemType>& Gradient() const { return *m_gradient; }
         Matrix<ElemType>& Gradient()             { return *m_gradient; }
 
-    protected:
-        std::vector<TensorView<ElemType>> GetTensorsForwardBinary(const FrameRange & fr);
-
     public:
         // Function to return the number of columns for whole batch or single frame
         size_t GetNumColsFor(const FrameRange & fr/*select frame or entire batch*/)
@@ -1164,6 +1142,10 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             return GradientFor(fr);
         }
         // tensor variants
+        TensorView<ElemType> DataTensorFor(Matrix<ElemType> & data, size_t rank, const FrameRange & fr)
+        {
+            return TensorView<ElemType>(DataFor(data, fr), GetTensorShape(rank, fr));
+        }
         TensorView<ElemType> ValueTensorFor(size_t rank, const FrameRange & fr)
         {
             return TensorView<ElemType>(ValueFor(fr), GetTensorShape(rank, fr));
@@ -1187,7 +1169,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         {
             Base::BeginForwardProp();
 
-            // update dimensions based on MB size
+            // update m_numCols based on MB size
             UpdateFunctionMBSize();
 
             // update the actual m_value allocation
@@ -1472,7 +1454,6 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         // TODO: There are too many of these. This indicates improper class hierarchies.
         virtual ComputationNodeBase * NewThis(DEVICEID_TYPE deviceId, const wstring & name) override { NOT_IMPLEMENTED; }
         virtual void Validate(bool isFinalValidationPass) override { NOT_IMPLEMENTED; }          // main base validation function
-        virtual void InferImageDimsFromInputs() override { NOT_IMPLEMENTED; }
         virtual void Save(File& fstream) const override { NOT_IMPLEMENTED; }
         virtual void Load(File& /*fstream*/, size_t /*modelVersion*/) override { NOT_IMPLEMENTED; }
         virtual void CopyTo(ComputationNodeBasePtr node, const std::wstring& newName, const CopyNodeFlags flags) const override { NOT_IMPLEMENTED; }
@@ -1541,26 +1522,26 @@ namespace Microsoft { namespace MSR { namespace CNTK {
 #define UsingComputationNodeMembers /*without OperationName; needed to support inconsistent pattern of InputValue--TODO: This comment it out of date. */    \
 protected: \
     typedef shared_ptr<ComputationNode<ElemType>> ComputationNodePtr; \
-    using Base::m_deviceId; using Base::SetDims; using Base::GetNumRows; using Base::GetNumCols; using Base::UpdateFunctionValuesSize; using Base::LoadValue; \
+    using Base::m_deviceId; using Base::GetDeviceId; using Base::SetDims; using Base::SetDims1; using Base::SetNumCols; using Base::GetNumRows; using Base::GetNumCols; using Base::UpdateFunctionValuesSize; using Base::LoadValue; \
     using Base::m_pMBLayout; using Base::GetNumTimeSteps; using Base::GetNumParallelSequences; \
     using Base::MaskMissingColumnsToZero; using Base::MaskMissingValueColumnsToZero; using Base::MaskMissingGradientColumnsToZero; using Base::InvalidateMissingValueColumns; using Base::InvalidateMissingGradientColumns; \
     using Base::DataFor; using Base::ValueFor; using Base::Gradient; using Base::GradientFor; \
-    using Base::MaskedValueFor; using Base::MaskedGradientFor; using Base::ValueTensorFor; using Base::GradientTensorFor; \
+    using Base::MaskedValueFor; using Base::MaskedGradientFor; using Base::DataTensorFor; using Base::ValueTensorFor; using Base::GradientTensorFor; \
     using Base::ForwardProp; using Base::BackpropTo; \
     using Base::m_inputs; using Base::m_value; using Base::m_gradient; \
-    using Base::m_inputSampleLayout; using Base::m_sampleLayout; \
+    using Base::m_sampleLayout; \
     using Base::m_parameterUpdateRequired; using Base::m_nodeName; \
     using Base::CreateMatrixIfNull; using Base::RequestMatrixFromPool; using Base::ReleaseMatrixToPool; \
     using Base::CreateUniqId; \
     using Base::GetNumInputs; using Base::ZeroGradientsOfInputs; using Base::VerifyDims; \
     using Base::ConstOnes; \
-    using Base::GetTensorsForwardBinary; using Base::DetermineElementwiseTensorRank; \
-    using Base::GetImageLayout; using Base::InferImageDimsFromInput; using Base::InferImageDimsFromInputs; using Base::InferMBLayoutFromInputsForStandardCase; \
+    using Base::DetermineElementwiseTensorRank; \
+    using Base::GetSampleLayout; using Base::GetInputSampleLayout; using Base::InferMBLayoutFromInputsForStandardCase; \
     using Base::CopyTo; using Base::CreateUniqNodeName; using Base::DetachInputs; using Base::GetInputsFromConfig; \
     using Base::DumpNodeInfo; using Base::EnumerateNodes; \
     using Base::HasMBLayout; using Base::GetMBLayout; using Base::LinkToMBLayout; \
     using Base::Input; using Base::SetInput; \
-    using Base::IsInputAnImage; using Base::IsEqualTo; using Base::IsOutputOlderThanInputs; using Base::IsLeaf; using Base::SetParameterUpdateRequired; \
+    using Base::IsEqualTo; using Base::IsOutputOlderThanInputs; using Base::IsLeaf; using Base::SetParameterUpdateRequired; \
     using Base::Load; \
     using Base::PrintNodeValuesToFile; using Base::PrintSelfBeforeValidation; \
     using Base::Save; using Base::UpdateFunctionMBSize; \
@@ -1571,7 +1552,7 @@ protected: \
 public: \
     using Base::RequiresPreCompute; \
     using Base::AttachInputs; using Base::CreateGradientMatrixIfNull; using Base::NodeName; \
-    using Base::Value; using Base::GetTensorShape;
+    using Base::Value;
 
 #define ComputationNodeBoilerplate \
 protected:    /* some boilerplate goes here */ \
@@ -1585,6 +1566,31 @@ protected:    /* some boilerplate goes here */ \
     // a few standard base classes for N-nary operations
     // =======================================================================
 
+    // -----------------------------------------------------------------------
+    // UnaryElementWiseNode (operand)
+    //
+    // unary elementwise operations that are implemented with the tensor lib
+    //
+    // Derived clases only need to override ForwardProp() and BackpropTo().
+    // -----------------------------------------------------------------------
+
+    template<class ElemType>
+    class UnaryElementWiseNode : public ComputationNode<ElemType>, public NumInputs<1>
+    {
+        typedef ComputationNode<ElemType> Base; UsingComputationNodeMembers;
+    public:
+        UnaryElementWiseNode(DEVICEID_TYPE deviceId, const wstring & name) :
+            Base(deviceId, name)
+        { }
+
+        virtual void /*ComputationNodeBase::*/Validate(bool isFinalValidationPass) override
+        {
+            ValidateUnaryMap(isFinalValidationPass);
+        }
+    };
+
+#define UsingUnaryElementwiseNodeBaseMembers UsingComputationNodeMembersBoilerplate;
+
     // -----------------------------------------------------------------------
     // BinaryElementWiseNode (operand1, operand2)
     //
@@ -1613,13 +1619,9 @@ protected:    /* some boilerplate goes here */ \
 #endif
         }
 
-        virtual bool InputUsedInComputingInputNodesGradients(size_t childIndex) const override
-        {
-            // By default, the BinaryElementWiseNode does not require any of it's input's values for computing
-            // the gradients of its input nodes
-            UNREFERENCED_PARAMETER(childIndex);
-            return false;
-        }
+        // By default, the BinaryElementWiseNode does not require any of it's input's values for computing
+        // the gradients of its input nodes
+        virtual bool InputUsedInComputingInputNodesGradients(size_t /*childIndex*/) const override { return false; }
 
         virtual void /*IComputationNode::*/BeginForwardProp() override             // called before first iteration step of ForwardProp()
         {
@@ -1633,15 +1635,6 @@ protected:    /* some boilerplate goes here */ \
         {
             ValidateBinaryZip(isFinalValidationPass, true/*allowMultiples*/);
         }
-
-        virtual void InferImageDimsFromInputs()
-        {
-            // TODO: change to infer as maximum of the two
-            if (IsInputAnImage(0))
-                InferImageDimsFromInput(0);
-            else
-                InferImageDimsFromInput(1);
-        }
     };
 
 #define UsingBinaryElementwiseNodeBaseMembers UsingComputationNodeMembersBoilerplate;
diff --git a/Source/ComputationNetworkLib/ConvolutionalNodes.h b/Source/ComputationNetworkLib/ConvolutionalNodes.h
index 1b6a3a820..414d5d616 100644
--- a/Source/ComputationNetworkLib/ConvolutionalNodes.h
+++ b/Source/ComputationNetworkLib/ConvolutionalNodes.h
@@ -30,9 +30,32 @@ namespace Microsoft { namespace MSR { namespace CNTK {
     // ConvolutionNode (convolutionWeights, inputFeature)
     // -----------------------------------------------------------------------
 
-    // convolutional network 
-    // This follows "high performance convolutional neural networks for document processing" by Kumar Chellapilla, Sidde Puri, and Patrice Simard.
-    // Each sample is stored as a column-major matrix (height, width) of float[numChannels] (r00, g00, b00, r10, g10, b10, r01, g01, b01, r11, g11, b11).
+    // Convolutions (incl. pooling) support two different storage formats:
+    // BUGBUG: These are currently hard-selected depending on circumstances, without being reflected in TensoShape.
+    //
+    // * legacy mode (CPU and GPU without cudnn): Channels are tuples of scalars
+    //
+    //    This follows "high performance convolutional neural networks for document processing" by Kumar Chellapilla, Sidde Puri, and Patrice Simard.
+    //    Each sample is stored as a column-major matrix (height, width) of float[numChannels] (r00, g00, b00, r10, g10, b10, r01, g01, b01, r11, g11, b11).
+    // 
+    //     - input :  [C  x W  x H      x T]  or  ARRAY[1..T] OF                ARRAY[1..H]  OF ARRAY[1..W]  OF ARRAY[1..C]
+    //     - output : [C' x W' x H'     x T]  or  ARRAY[1..T] OF                ARRAY[1..H'] OF ARRAY[1..W'] OF ARRAY[1..C']
+    //     - filter : [C' x W" x H" x C    ]  or                 ARRAY[1..C] OF ARRAY[1..H"] OF ARRAY[1..W"] OF ARRAY[1..C']
+    // 
+    // * GPU with cudnn: Channels are planes
+    // 
+    //     - input :   [W  x H  x C       x T]   or  ARRAY[1..T] OF                 ARRAY[1..C]  OF ARRAY[1..H]  OF ARRAY[1..W]
+    //     - output :  [W' x H' x      C' x T]   or  ARRAY[1..T] OF ARRAY[1..C'] OF                 ARRAY[1..H'] OF ARRAY[1..W']
+    //     - filter :  [W" x H" x C  x C'    ]   or                 ARRAY[1..C'] OF ARRAY[1..C]  OF ARRAY[1..H]  OF ARRAY[1..W]
+    // 
+    // where:
+    //  - using ' for output and " for filter
+    //  - T = samples (NVidia calls this N)
+    //  - W, H = width, height (W', H' for output, W", H" for kernel)
+    //  - C = input channels
+    //     - 3 for color images, 1 for B&W images
+    //     - for hidden layer: dimension of activation vector for each pixel
+    //  - C' = output channels = dimension of activation vector for each pixel (also called N by NVidia, inconsistently)
     template<class ElemType>
     class ConvolutionNode : public ComputationNode<ElemType>, public NumInputs<2>
     {
@@ -44,22 +67,26 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             m_kernelWidth(SIZE_MAX), m_kernelHeight(SIZE_MAX),
             // initialize to dummy values so we catch missing initialization
             m_horizontalSubsample(SIZE_MAX), m_verticalSubsample(SIZE_MAX),
-            m_zeroPadding(false), m_maxTempMemSizeInSamples(SIZE_MAX)
+            m_zeroPadding(false), m_maxTempMemSizeInSamples(SIZE_MAX),
+            m_imageLayoutKind(ImageLayoutKind::HWC)
         {
-            m_sampleLayout = ImageLayoutWHC(1, 1, 0);           // TODO: what is this magic #channels == 0? Can this even be initialized at this time, or only inferred?
+            SetDims(ImageDimensions::AsTensorShape(1, 1, 0, m_imageLayoutKind), 0);
         }
-        ConvolutionNode(DEVICEID_TYPE deviceId, const wstring & name, const size_t kernelWidth, const size_t kernelHeight, const size_t outputChannels, const size_t horizontalSubsample, const size_t verticalSubsample, const bool zeroPadding = false, const size_t maxTempMemSizeInSamples = 0) :
+        ConvolutionNode(DEVICEID_TYPE deviceId, const wstring & name, const size_t kernelWidth, const size_t kernelHeight, const size_t outputChannels, const size_t horizontalSubsample, const size_t verticalSubsample, ImageLayoutKind imageLayoutKind,
+                        const bool zeroPadding = false, const size_t maxTempMemSizeInSamples = 0) :
             Base(deviceId, name),
+            m_outputChannels(outputChannels),
             m_kernelWidth(kernelWidth), m_kernelHeight(kernelHeight),
             m_horizontalSubsample(horizontalSubsample), m_verticalSubsample(verticalSubsample),
-            m_zeroPadding(zeroPadding), m_maxTempMemSizeInSamples(maxTempMemSizeInSamples)
+            m_zeroPadding(zeroPadding), m_maxTempMemSizeInSamples(maxTempMemSizeInSamples),
+            m_imageLayoutKind(imageLayoutKind)
         {
-            m_sampleLayout = ImageLayoutWHC(1, 1, outputChannels);
-            m_factory = ConvolutionEngineFactory<ElemType>::Create(deviceId);
+            SetDims(ImageDimensions::AsTensorShape(1, 1, m_outputChannels, m_imageLayoutKind), 0); // TODO: necessary?
+            m_factory = ConvolutionEngineFactory<ElemType>::Create(GetDeviceId(), ConvolutionEngineFactory<ElemType>::EngineType::Auto, m_imageLayoutKind);
         }
         ConvolutionNode(const ScriptableObjects::IConfigRecordPtr configp) :
             ConvolutionNode(configp->Get(L"deviceId"), L"<placeholder>", configp->Get(L"kernelWidth"), configp->Get(L"kernelHeight"), configp->Get(L"outputChannels"),
-                            configp->Get(L"horizontalSubsample"), configp->Get(L"verticalSubsample"),
+                            configp->Get(L"horizontalSubsample"), configp->Get(L"verticalSubsample"), ImageLayoutKindFrom(configp->Get(L"imageLayout")),
                             configp->Get(L"zeroPadding"), configp->Get(L"maxTempMemSizeInSamples"))
         {
             // weightNodeName, inputValueNodeName, kernelWidth, kernelHeight, outputChannels, horizontalSubsample, verticalSubsample, zeroPadding = false, maxTempMemSizeInSamples = 0
@@ -69,19 +96,24 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         void Save(File& fstream) const override
         {
             Base::Save(fstream);
-            fstream <<  m_kernelWidth << m_kernelHeight << m_horizontalSubsample << m_verticalSubsample;
-            fstream << m_sampleLayout.GetNumChannels();
+            fstream << m_kernelWidth << m_kernelHeight << m_horizontalSubsample << m_verticalSubsample;
+            uint32_t imageLayoutKind = (uint32_t)m_imageLayoutKind;
+            uint32_t outputChannels = (uint32_t)m_outputChannels;
+            fstream << imageLayoutKind << outputChannels;
             fstream << m_zeroPadding << m_maxTempMemSizeInSamples;
         }
 
         void Load(File& fstream, size_t modelVersion) override
         {
             Base::Load(fstream, modelVersion);
-            fstream >> m_kernelWidth >> m_kernelHeight >> m_horizontalSubsample >> m_verticalSubsample; 
-            size_t outputChannels;
-            fstream >> outputChannels;
-            m_sampleLayout = ImageLayoutWHC(1, 1, outputChannels);
+            fstream >> m_kernelWidth >> m_kernelHeight >> m_horizontalSubsample >> m_verticalSubsample;
+            uint32_t imageLayoutKind, outputChannels;
+            fstream >> imageLayoutKind >> outputChannels;
+            m_imageLayoutKind = (ImageLayoutKind) imageLayoutKind;
+            m_outputChannels = outputChannels;
+            SetDims(ImageDimensions::AsTensorShape(1, 1, m_outputChannels, m_imageLayoutKind), 0);  // TODO: needed?
             fstream >> m_zeroPadding >> m_maxTempMemSizeInSamples;
+            m_factory = ConvolutionEngineFactory<ElemType>::Create(GetDeviceId(), ConvolutionEngineFactory<ElemType>::EngineType::Auto, m_imageLayoutKind);
         }
 
         void CopyTo(ComputationNodeBasePtr nodeP, const std::wstring& newName, const CopyNodeFlags flags) const override
@@ -100,6 +132,8 @@ namespace Microsoft { namespace MSR { namespace CNTK {
 
                 node->m_maxTempMemSizeInSamples = m_maxTempMemSizeInSamples;
 
+                node->m_imageLayoutKind = m_imageLayoutKind;
+
                 *node->m_tempMatrix = *m_tempMatrix;
             }
         }
@@ -113,12 +147,12 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             m_inT->setN(batchSize);
             m_outT->setN(batchSize);
             assert(m_convEng != nullptr);
-            if (inputIndex == 0)  //derivative with respect to the weight matrix
+            if (inputIndex == 0)        // derivative with respect to the weight matrix
             {
                 Matrix<ElemType>& grad = Input(0)->Gradient();
                 m_convEng->BackwardFilter(*m_outT, sliceOutputGrad, *m_inT, sliceInput1Value, *m_convDesc, *m_filterT, grad, fr.IsAllFrames(), *m_tempMatrix);
             }
-            else if (inputIndex == 1)  // derivative with respect to the input feature
+            else if (inputIndex == 1)   // derivative with respect to the input feature
             {
                 const Matrix<ElemType>& input0 = Input(0)->Value();
                 Matrix<ElemType> sliceInput1Grad = Input(1)->GradientFor(fr);
@@ -139,7 +173,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             Matrix<ElemType> sliceInput1Value = Input(1)->ValueFor(fr);
             Matrix<ElemType> sliceOutputValue = ValueFor(fr);
 
-            // REVIEW alexeyk: setting batch size, can it be done elsewhere in a single place?
+            // update the tensor dimension w.r.t. number of samples
             size_t batchSize = sliceInput1Value.GetNumCols();
             m_inT->setN(batchSize);
             m_outT->setN(batchSize);
@@ -154,6 +188,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
 #endif
         }
 
+        // BUGBUG: Should not be here. Use PlusNode and m_sampleLayout.  TODO: Bad naming:'output' is actually an 'input'
         void AddBias(const Matrix<ElemType>& output, const Matrix<ElemType>& bias, Matrix<ElemType>& dst)
         {
             assert(m_convEng != nullptr);
@@ -170,86 +205,79 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         void /*ComputationNodeBase::*/Validate(bool isFinalValidationPass) override
         {
             Base::Validate(isFinalValidationPass);
-
-            if (m_horizontalSubsample > m_kernelWidth || m_verticalSubsample > m_kernelHeight)
-                InvalidArgument("In ConvolutionNode horizontalSubsample must <= kernelWidth and verticalSubsample must <= kernelHeight.");
-
             InferMBLayoutFromInputsForStandardCase();
-            InferImageDimsFromInputs();
 
-            size_t weightCols = m_kernelWidth * m_kernelHeight * m_inputSampleLayout.GetNumChannels();
+            // get input and output tensor shape and interpret as image dimensions
+            auto inDims  = ImageDimensions(GetInputSampleLayout(1), m_imageLayoutKind);
 
+            if (inDims.m_width < m_kernelWidth || inDims.m_height < m_kernelHeight)
+                InvalidArgument("%ls %ls operation requires that input width be >= kernelWidth and input height >= kernelHeight.", NodeName().c_str(), OperationName().c_str());
+
+            // determine output tensor shape
+            const int kernelWidthCenter  = m_zeroPadding ?  m_kernelWidth % 2 : m_kernelWidth;
+            const int kernelHeightCenter = m_zeroPadding ? m_kernelHeight % 2 : m_kernelHeight;
+            auto outDims = ImageDimensions(
+                (inDims.m_width  - kernelWidthCenter)  / m_horizontalSubsample + 1,
+                (inDims.m_height - kernelHeightCenter) / m_verticalSubsample   + 1,
+                m_outputChannels);
+
+            size_t weightCols = m_kernelWidth * m_kernelHeight * inDims.m_numChannels;
+
+            // check/infer input [0] (weights)
             if (Input(0)->Value().HasNoElements())
-                ValidateInferInputDims(0, m_sampleLayout.GetNumChannels(), weightCols);
+                ValidateInferInputDims(0, m_outputChannels, weightCols);
 
-            if (isFinalValidationPass && (Input(0)->GetNumCols() != weightCols || Input(0)->GetNumRows() != m_sampleLayout.GetNumChannels()))
-                LogicError("convolutionWeight matrix %ls should have dimension [%d, %d] which is [outputChannels, kernelWidth * kernelHeight * inputChannels]", m_inputs[0]->NodeName().c_str(), (int)m_sampleLayout.GetNumChannels(), (int)weightCols);
+            if (isFinalValidationPass && (Input(0)->GetNumCols() != weightCols || Input(0)->GetNumRows() != m_outputChannels))
+                LogicError("convolutionWeight matrix %ls should have dimension [%d, %d] which is [outputChannels, kernelWidth * kernelHeight * inputChannels]", Input(0)->NodeName().c_str(), (int)m_outputChannels, (int)weightCols);
 
-            size_t inputDim = m_inputSampleLayout.GetWidth() * m_inputSampleLayout.GetHeight() * m_inputSampleLayout.GetNumChannels();
+            // check/infer input [1] (data)
+            size_t inputDim = inDims.m_width * inDims.m_height * inDims.m_numChannels;
             if (Input(1)->GetNumRows() == 0)
                 ValidateInferInputDims(1, inputDim, Input(1)->GetNumCols());
 
             if (isFinalValidationPass && Input(1)->GetNumRows() != inputDim)
-                LogicError("each column of input to the convolution node %ls is a sample and should have dimension %d, which is inputWidth * inputHeight * inputChannels", NodeName().c_str(), (int)inputDim);
+                LogicError("Each column of inDims to the convolution node %ls is a sample and should have dimension %d, which is inputWidth * inputHeight * inputChannels.", NodeName().c_str(), (int)inputDim);
 
-            size_t outputDim = m_sampleLayout.GetWidth() * m_sampleLayout.GetHeight() * m_sampleLayout.GetNumChannels();
-            SetDims(outputDim, Input(1)->GetNumCols());
-        }
-
-        void InferImageDimsFromInputs() override
-        {
-            InferImageDimsFromInput(1, false);
-
-            if (m_inputSampleLayout.GetWidth() < m_kernelWidth || m_inputSampleLayout.GetHeight() < m_kernelHeight)
-                InvalidArgument("inputWidth must >= kernelWidth and inputHeight must >= kernelHeight.");
-
-            if (m_zeroPadding)
-            {
-                const int kernelWidthCenter = m_kernelWidth % 2;
-                const int kernelHeightCenter = m_kernelHeight % 2;
-                m_sampleLayout = ImageLayoutWHC(
-                    (m_inputSampleLayout.GetWidth()  - kernelWidthCenter)  / m_horizontalSubsample + 1,
-                    (m_inputSampleLayout.GetHeight() - kernelHeightCenter) / m_verticalSubsample   + 1,
-                    m_sampleLayout.GetNumChannels());
-            }
-            else
-            {
-                m_sampleLayout = ImageLayoutWHC(
-                    (m_inputSampleLayout.GetWidth()  - m_kernelWidth)  / m_horizontalSubsample + 1,
-                    (m_inputSampleLayout.GetHeight() - m_kernelHeight) / m_verticalSubsample   + 1,
-                    m_sampleLayout.GetNumChannels());
-            }    
+            // that's our dimension
+            SetDims(outDims.AsTensorShape(m_imageLayoutKind), Input(1)->GetNumCols());
 
+            // set up the various engines and descriptor objects
             // REVIEW alexeyk: is there a better place to create engines?
-            if (m_factory == nullptr)
-                m_factory = ConvolutionEngineFactory<ElemType>::Create(m_deviceId);
+            assert(m_factory);
+            //if (m_factory == nullptr)
+            //    m_factory = ConvolutionEngineFactory<ElemType>::Create(m_deviceId, ConvolutionEngineFactory<ElemType>::EngineType::Auto, m_imageLayoutKind);
+            // TODO: This seems to expose too much internal knowlegde of the engine to the ConvolutionNode().
+            //       Why not just pass everything to the engine creator, and get one object that holds everything.
             if (m_convEng == nullptr)
                 m_convEng = m_factory->CreateConvEngine(m_deviceId, m_maxTempMemSizeInSamples);
             if (m_inT == nullptr)
-                m_inT = m_factory->CreateTensor(m_inputSampleLayout.GetWidth(), m_inputSampleLayout.GetHeight(), m_inputSampleLayout.GetNumChannels(), 1);
+                m_inT = m_factory->CreateTensor(inDims.m_width, inDims.m_height, inDims.m_numChannels, 1);
             if (m_filterT == nullptr)
-                m_filterT = m_factory->CreateFilter(m_kernelWidth, m_kernelHeight, m_inputSampleLayout.GetNumChannels(), m_sampleLayout.GetNumChannels());
+                m_filterT = m_factory->CreateFilter(m_kernelWidth, m_kernelHeight, inDims.m_numChannels, m_outputChannels);
             if (m_outT == nullptr)
-                m_outT = m_factory->CreateTensor(m_sampleLayout.GetWidth(), m_sampleLayout.GetHeight(), m_sampleLayout.GetNumChannels(), 1);
+                m_outT = m_factory->CreateTensor(outDims.m_width, outDims.m_height, outDims.m_numChannels, 1);
             if (m_convDesc == nullptr)
                 m_convDesc = m_factory->CreateConvDescriptor(*m_inT, *m_filterT, m_horizontalSubsample, m_verticalSubsample, m_zeroPadding);
-            // REVIEW alexeyk: create per-channel (shared) bias. Consider adding other types of biases.
+            // REVIEW alexeyk: create per-channel bias (shared across all pixels). Consider adding other types of biases.
             if (m_biasT == nullptr)
-                m_biasT = m_factory->CreateTensor(1, 1, m_sampleLayout.GetNumChannels(), 1);
+                m_biasT = m_factory->CreateTensor(1, 1, outDims.m_numChannels, 1);
         }
 
         void DumpNodeInfo(const bool printValues, File& fstream) const override
         {
             Base::DumpNodeInfo(printValues, fstream);
 
+            auto inDims = ImageDimensions(GetInputSampleLayout(1), m_imageLayoutKind);
+            auto outDims = ImageDimensions(m_sampleLayout, m_imageLayoutKind);
+
             char str[4096];
-            sprintf(str, "Input[Width:%lu, Height:%lu, Channels:%lu]  \n", m_inputSampleLayout.GetWidth(), m_inputSampleLayout.GetHeight(), m_inputSampleLayout.GetNumChannels());
+            sprintf(str, "Input[Width:%lu, Height:%lu, Channels:%lu]  \n", inDims.m_width, inDims.m_height, inDims.m_numChannels);
             fstream << string(str);
             sprintf(str, "Kernel[Width:%lu, Height:%lu]  SubSample[Horizontal:%lu, Vertical:%lu]\n", m_kernelWidth, m_kernelHeight, m_horizontalSubsample, m_verticalSubsample);
             fstream << string(str);
-            sprintf(str, "Output[Width:%lu, Height:%lu, Channels:%lu]  \n", m_sampleLayout.GetWidth(), m_sampleLayout.GetHeight(), m_sampleLayout.GetNumChannels());
+            sprintf(str, "Output[Width:%lu, Height:%lu, Channels:%lu]  \n", outDims.m_width, outDims.m_height, outDims.m_numChannels);
             fstream << string(str);
-            sprintf(str, "ZeroPadding=%ls  maxTempMemSizeInSamples=%lu\n", m_zeroPadding? L"true" : L"false", m_maxTempMemSizeInSamples);
+            sprintf(str, "zeroPadding=%ls  maxTempMemSizeInSamples=%lu\n", m_zeroPadding? L"true" : L"false", m_maxTempMemSizeInSamples);
             fstream << string(str);
         }
 
@@ -273,6 +301,17 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         }
 
     private:
+        size_t m_outputChannels;
+        size_t m_kernelWidth, m_kernelHeight;
+        size_t m_horizontalSubsample, m_verticalSubsample;
+        bool m_zeroPadding;
+        bool m_1DConvolutionOnGPUSparse;
+
+        shared_ptr<Matrix<ElemType>> m_tempMatrix;
+        size_t m_maxTempMemSizeInSamples;   // can change during runtime
+
+        ImageLayoutKind m_imageLayoutKind;  // how to interpret the tensor (which dimensions are X/Y and C)
+
         std::unique_ptr<ConvolutionEngineFactory<ElemType>> m_factory;
         std::unique_ptr<ConvolutionEngine<ElemType>> m_convEng;
 
@@ -281,14 +320,6 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         std::unique_ptr<ConvolutionTensor4D> m_outT;
         std::unique_ptr<ConvolutionDescriptor> m_convDesc;
         std::unique_ptr<ConvolutionTensor4D> m_biasT;
-
-        size_t m_kernelWidth, m_kernelHeight;
-        size_t m_horizontalSubsample, m_verticalSubsample;
-        bool m_zeroPadding;
-        bool m_1DConvolutionOnGPUSparse;
-
-        shared_ptr<Matrix<ElemType>> m_tempMatrix;
-        size_t m_maxTempMemSizeInSamples; // can change during runtime
     };
 
     template class ConvolutionNode<float>; 
@@ -298,8 +329,6 @@ namespace Microsoft { namespace MSR { namespace CNTK {
     // PoolingNodeBase (input)
     // -----------------------------------------------------------------------
 
-    // Max/Average Pooling: support multi channel
-    // Each sample is stored as a column-major matrix (height, width) of float[numChannels] (r00, g00, b00, r10, g10, b10, r01, g01, b01, r11, g11, b11).
     template<class ElemType>
     class PoolingNodeBase : public ComputationNode<ElemType>, public NumInputs<1>
     {
@@ -308,17 +337,19 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         PoolingNodeBase(DEVICEID_TYPE deviceId, const wstring & name) :
             Base(deviceId, name),
             m_windowWidth(SIZE_MAX), m_windowHeight(SIZE_MAX),
-            m_horizontalSubsample(SIZE_MAX), m_verticalSubsample(SIZE_MAX)
+            m_horizontalSubsample(SIZE_MAX), m_verticalSubsample(SIZE_MAX),
+            m_imageLayoutKind(ImageLayoutKind::HWC)
         { }
-        PoolingNodeBase(DEVICEID_TYPE deviceId, const wstring & name, const size_t windowWidth, const size_t windowHeight, const size_t horizontalSubsample, const size_t verticalSubsample) :
+        PoolingNodeBase(DEVICEID_TYPE deviceId, const wstring & name, const size_t windowWidth, const size_t windowHeight, const size_t horizontalSubsample, const size_t verticalSubsample, ImageLayoutKind imageLayoutKind) :
             Base(deviceId, name),
             m_windowWidth(windowWidth), m_windowHeight(windowHeight),
-            m_horizontalSubsample(horizontalSubsample), m_verticalSubsample(verticalSubsample)
+            m_horizontalSubsample(horizontalSubsample), m_verticalSubsample(verticalSubsample),
+            m_imageLayoutKind(imageLayoutKind)
         {
-            m_factory = ConvolutionEngineFactory<ElemType>::Create(deviceId);
+            m_factory = ConvolutionEngineFactory<ElemType>::Create(GetDeviceId(), ConvolutionEngineFactory<ElemType>::EngineType::Auto, m_imageLayoutKind);
         }
         PoolingNodeBase(const ScriptableObjects::IConfigRecordPtr configp) :
-            PoolingNodeBase(configp->Get(L"deviceId"), L"<placeholder>", configp->Get(L"windowWidth"), configp->Get(L"windowHeight"), configp->Get(L"horizontalSubsample"), configp->Get(L"verticalSubsample"))
+            PoolingNodeBase(configp->Get(L"deviceId"), L"<placeholder>", configp->Get(L"windowWidth"), configp->Get(L"windowHeight"), configp->Get(L"horizontalSubsample"), configp->Get(L"verticalSubsample"), ImageLayoutKindFrom(configp->Get(L"imageLayout")))
         {
             // input, windowWidth, windowHeight, horizontalSubsample, verticalSubsample
             AttachInputs(configp, this->GetExpectedNumInputs());
@@ -327,13 +358,19 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         void Save(File& fstream) const override
         {
             Base::Save(fstream);
-            fstream << m_windowWidth << m_windowHeight << m_horizontalSubsample << m_verticalSubsample;
+            uint32_t imageLayoutKind = (uint32_t)m_imageLayoutKind;
+            uint32_t windowWidth = (uint32_t)m_windowWidth;
+            fstream << imageLayoutKind << windowWidth << m_windowHeight << m_horizontalSubsample << m_verticalSubsample;
         }
 
         void Load(File& fstream, size_t modelVersion) override
         {
             Base::Load(fstream, modelVersion);
-            fstream >> m_windowWidth >> m_windowHeight >> m_horizontalSubsample >> m_verticalSubsample;
+            uint32_t imageLayoutKind, windowWidth;
+            fstream >> imageLayoutKind >> windowWidth >> m_windowHeight >> m_horizontalSubsample >> m_verticalSubsample;
+            m_windowWidth = windowWidth;
+            m_imageLayoutKind = (ImageLayoutKind)imageLayoutKind;
+            m_factory = ConvolutionEngineFactory<ElemType>::Create(GetDeviceId(), ConvolutionEngineFactory<ElemType>::EngineType::Auto, m_imageLayoutKind);
         }
 
         void CopyTo(ComputationNodeBasePtr nodeP, const std::wstring& newName, const CopyNodeFlags flags) const override
@@ -351,6 +388,8 @@ namespace Microsoft { namespace MSR { namespace CNTK {
 
                 node->m_inputSizePerSample = m_inputSizePerSample;
                 node->m_outputSizePerSample = m_outputSizePerSample;
+
+                node->m_imageLayoutKind = m_imageLayoutKind;
             }
         }
 
@@ -386,74 +425,73 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         void Validate(bool isFinalValidationPass) override
         {
             Base::Validate(isFinalValidationPass);
-
-            if (m_horizontalSubsample > m_windowWidth || m_verticalSubsample > m_windowHeight)
-                InvalidArgument("PoolingNodeBase: horizontalSubsample must <= windowWidth and verticalSubsample must <= windowHeight.");
-
             InferMBLayoutFromInputsForStandardCase();
-            InferImageDimsFromInputs();
 
-            m_inputSizePerSample = m_inputSampleLayout.GetWidth() * m_inputSampleLayout.GetHeight() * m_inputSampleLayout.GetNumChannels();
-            m_outputSizePerSample = m_sampleLayout.GetWidth() * m_sampleLayout.GetHeight() * m_sampleLayout.GetNumChannels();
+            // get input tensor shape and interpret as image dimensions
+            auto inDims = ImageDimensions(GetInputSampleLayout(0), m_imageLayoutKind);
 
-            if (Input(0)->GetNumRows() == 0)
-                ValidateInferInputDims(0, m_inputSizePerSample, Input(0)->GetNumCols());
-
-            if (isFinalValidationPass && Input(0)->GetNumRows() != m_inputSizePerSample)
-                LogicError("each column of input to the MaxPooling node %ls is a sample and should have dimension %d, which is inputWidth * inputHeight * inputChannels", NodeName().c_str(), (int)m_inputSizePerSample);
-
-            SetDims(m_outputSizePerSample, Input(0)->GetNumCols());
-        }
-
-        void InferImageDimsFromInputs() override
-        {
-            InferImageDimsFromInput(0, false);
-
-            if (m_inputSampleLayout.GetWidth() < m_windowWidth || m_inputSampleLayout.GetHeight() < m_windowHeight)
+            if (inDims.m_width < m_windowWidth || inDims.m_height < m_windowHeight)
                 InvalidArgument("PoolingNodeBase: inputWidth must >= windowWidth and inputHeight must >= windowHeight.");
 
-            m_sampleLayout = ImageLayoutWHC(
-                (m_inputSampleLayout.GetWidth()  - m_windowWidth)  / m_horizontalSubsample + 1,
-                (m_inputSampleLayout.GetHeight() - m_windowHeight) / m_verticalSubsample + 1,
-                m_inputSampleLayout.GetNumChannels());
+            // determine output tensor shape
+            auto outDims = ImageDimensions(
+                (inDims.m_width  - m_windowWidth)  / m_horizontalSubsample + 1,
+                (inDims.m_height - m_windowHeight) / m_verticalSubsample   + 1,
+                inDims.m_numChannels);
 
+            m_inputSizePerSample = inDims.m_width * inDims.m_height * inDims.m_numChannels;
+
+            if (Input(0)->GetNumRows() == 0)
+                ValidateInferInputDims(0, m_inputSizePerSample, Input(0)->GetNumCols());    // TODO: We should infer a tensor dimension for the input instead.
+
+            if (isFinalValidationPass && Input(0)->GetNumRows() != m_inputSizePerSample)    // TODO: Can be removed once tensor shape and numRows are perfectly in sync.
+                LogicError("each column of input to the MaxPooling node %ls is a sample and should have dimension %d, which is inputWidth * inputHeight * inputChannels", NodeName().c_str(), (int)m_inputSizePerSample);
+
+            SetDims(outDims.AsTensorShape(m_imageLayoutKind), Input(0)->GetNumCols());
+
+            // set up various engines and descriptor objects
             // REVIEW alexeyk: is there a better place to create engines?
-            if (m_factory == nullptr)
-                m_factory = ConvolutionEngineFactory<ElemType>::Create(m_deviceId);
+            assert(m_factory);
+            //if (m_factory == nullptr)
+            //    m_factory = ConvolutionEngineFactory<ElemType>::Create(m_deviceId, ConvolutionEngineFactory<ElemType>::EngineType::Auto, m_imageLayoutKind);
             if (m_poolEng == nullptr)
                 m_poolEng = m_factory->CreatePoolEngine(m_deviceId);
             if (m_inT == nullptr)
-                m_inT = m_factory->CreateTensor(m_inputSampleLayout.GetWidth(), m_inputSampleLayout.GetHeight(), m_inputSampleLayout.GetNumChannels(), 1);
+                m_inT = m_factory->CreateTensor(inDims.m_width, inDims.m_height, inDims.m_numChannels, 1);
             if (m_outT == nullptr)
-                m_outT = m_factory->CreateTensor(m_sampleLayout.GetWidth(), m_sampleLayout.GetHeight(), m_sampleLayout.GetNumChannels(), 1);
+                m_outT = m_factory->CreateTensor(outDims.m_width, outDims.m_height, outDims.m_numChannels, 1);
         }
 
         void DumpNodeInfo(const bool printValues, File& fstream) const override
         {
             Base::DumpNodeInfo(printValues, fstream);
 
+            auto inputSampleLayout = GetInputSampleLayout(0);
+
             char str[4096];
-            sprintf(str, "Input[Width:%lu, Height:%lu, Channels:%lu]  \n", m_inputSampleLayout.GetWidth(), m_inputSampleLayout.GetHeight(), m_inputSampleLayout.GetNumChannels());
+            sprintf(str, "Input[Width:%lu, Height:%lu, Channels:%lu]  \n", inputSampleLayout[1], inputSampleLayout[2], inputSampleLayout[0]);
             fstream << string(str);
             sprintf(str, "PoolingWindow[Width:%lu, Height:%lu]  SubSampling[Horizontal:%lu, Vertical:%lu]\n", m_windowWidth, m_windowHeight, m_horizontalSubsample, m_verticalSubsample);
             fstream << string(str);
-            sprintf(str, "Output[Width:%lu, Height:%lu, Channels:%lu]  \n", m_sampleLayout.GetWidth(), m_sampleLayout.GetHeight(), m_sampleLayout.GetNumChannels());
+            sprintf(str, "Output[Width:%lu, Height:%lu, Channels:%lu]  \n", m_sampleLayout[1], m_sampleLayout[2], m_sampleLayout[0]);
             fstream << string(str);
             sprintf(str, "TotalSizePerSample[Input:%lu, Output:%lu]  \n", m_inputSizePerSample, m_outputSizePerSample);
             fstream << string(str);
         }
 
     protected:
+        size_t m_windowWidth, m_windowHeight;
+        size_t m_horizontalSubsample, m_verticalSubsample;
+        size_t m_inputSizePerSample, m_outputSizePerSample;
+
+        ImageLayoutKind m_imageLayoutKind;  // how to interpret the tensor (which dimensions are X/Y and C)
+
         std::unique_ptr<ConvolutionEngineFactory<ElemType>> m_factory;
         std::unique_ptr<PoolingEngine<ElemType>> m_poolEng;
 
         std::unique_ptr<ConvolutionTensor4D> m_inT;
         std::unique_ptr<ConvolutionTensor4D> m_outT;
         std::unique_ptr<PoolingDescriptor> m_poolDesc;
-
-        size_t m_windowWidth, m_windowHeight;
-        size_t m_horizontalSubsample, m_verticalSubsample;
-        size_t m_inputSizePerSample, m_outputSizePerSample;
     };
 
     // add this at the start of each derived class, to get access to the members of ComputationNode
@@ -474,16 +512,16 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         static const std::wstring TypeName() { return L"MaxPooling"; }
     public:
         MaxPoolingNode(DEVICEID_TYPE deviceId, const wstring & name) : Base(deviceId, name) { }
-        MaxPoolingNode(DEVICEID_TYPE deviceId, const wstring & name, const size_t windowWidth, const size_t windowHeight, const size_t horizontalSubsample, const size_t verticalSubsample) :
-            Base(deviceId, name, windowWidth, windowHeight, horizontalSubsample, verticalSubsample)
+        MaxPoolingNode(DEVICEID_TYPE deviceId, const wstring & name, const size_t windowWidth, const size_t windowHeight, const size_t horizontalSubsample, const size_t verticalSubsample, ImageLayoutKind imageLayoutKind) :
+            Base(deviceId, name, windowWidth, windowHeight, horizontalSubsample, verticalSubsample, imageLayoutKind)
         { }
         MaxPoolingNode(const ScriptableObjects::IConfigRecordPtr configp) :
             Base(configp)
         { }
 
-        void InferImageDimsFromInputs() override
+        void Validate(bool isFinalValidationPass) override
         {
-            Base::InferImageDimsFromInputs();
+            Base::Validate(isFinalValidationPass);
             if (m_poolDesc == nullptr)
                 m_poolDesc = m_factory->CreatePoolDescriptor(PoolingDescriptor::PoolKind::Max, m_windowWidth, m_windowHeight, m_horizontalSubsample, m_verticalSubsample, 0, 0);
         }
@@ -503,8 +541,8 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         static const std::wstring TypeName() { return L"AveragePooling"; }
     public:
         AveragePoolingNode(DEVICEID_TYPE deviceId, const wstring & name) : Base(deviceId, name) { }
-        AveragePoolingNode(DEVICEID_TYPE deviceId, const wstring & name, const size_t windowWidth, const size_t windowHeight, const size_t horizontalSubsample, const size_t verticalSubsample) :
-            Base(deviceId, name, windowWidth, windowHeight, horizontalSubsample, verticalSubsample)
+        AveragePoolingNode(DEVICEID_TYPE deviceId, const wstring & name, const size_t windowWidth, const size_t windowHeight, const size_t horizontalSubsample, const size_t verticalSubsample, ImageLayoutKind imageLayoutKind) :
+            Base(deviceId, name, windowWidth, windowHeight, horizontalSubsample, verticalSubsample, imageLayoutKind)
         { }
         AveragePoolingNode(const ScriptableObjects::IConfigRecordPtr configp) :
             Base(configp)
@@ -525,9 +563,9 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             return false;
         }
 
-        void InferImageDimsFromInputs() override
+        void Validate(bool isFinalValidationPass) override
         {
-            Base::InferImageDimsFromInputs();
+            Base::Validate(isFinalValidationPass);
             if (m_poolDesc == nullptr)
                 m_poolDesc = m_factory->CreatePoolDescriptor(PoolingDescriptor::PoolKind::Average, m_windowWidth, m_windowHeight, m_horizontalSubsample, m_verticalSubsample, 0, 0);
         }
@@ -682,29 +720,25 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         void Validate(bool isFinalValidationPass) override
         {
             Base::Validate(isFinalValidationPass);
-
             InferMBLayoutFromInputsForStandardCase();
-            InferImageDimsFromInputs();
 
-            SetDims(m_sampleLayout.GetWidth() * m_sampleLayout.GetHeight() * m_sampleLayout.GetNumChannels(), Input(0)->GetNumCols());
-        }
+            SetDims(Input(0));
 
-        void InferImageDimsFromInputs() override
-        {
-            InferImageDimsFromInput(0);
+    const auto m_imageLayoutKind = ImageLayoutKind::CHW;        // BUGBUG: Finish this. Must be serialized.
+            auto dims = ImageDimensions(GetSampleLayout(), m_imageLayoutKind);
 
             if (m_factory == nullptr)
-                m_factory = ConvolutionEngineFactory<ElemType>::Create(m_deviceId);
+                m_factory = ConvolutionEngineFactory<ElemType>::Create(m_deviceId, ConvolutionEngineFactory<ElemType>::EngineType::Auto, m_imageLayoutKind);
             if (m_convEng == nullptr)
                 m_convEng = m_factory->CreateConvEngine(m_deviceId, 0);
             if (m_inT == nullptr)
-                m_inT = m_factory->CreateTensor(m_sampleLayout.GetWidth(), m_sampleLayout.GetHeight(), m_sampleLayout.GetNumChannels(), 1);
+                m_inT = m_factory->CreateTensor(dims.m_width, dims.m_height, dims.m_numChannels, 1);
             if (m_scaleBiasT == nullptr)
             {
                 if (m_spatial)
-                    m_scaleBiasT = m_factory->CreateTensor(1, 1, m_sampleLayout.GetNumChannels(), 1);
+                    m_scaleBiasT = m_factory->CreateTensor(1, 1, dims.m_numChannels, 1);
                 else
-                    m_scaleBiasT = m_factory->CreateTensor(m_sampleLayout.GetWidth(), m_sampleLayout.GetHeight(), m_sampleLayout.GetNumChannels(), 1);
+                    m_scaleBiasT = m_factory->CreateTensor(dims.m_width, dims.m_height, dims.m_numChannels, 1);
             }
         }
 
@@ -750,11 +784,6 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         VersionInfo m_version;
 
     private:
-        std::unique_ptr<ConvolutionEngineFactory<ElemType>> m_factory;
-        std::unique_ptr<ConvolutionEngine<ElemType>> m_convEng;
-        std::unique_ptr<ConvolutionTensor4D> m_inT;
-        std::unique_ptr<ConvolutionTensor4D> m_scaleBiasT;
-
         // Determines whether to use training or inference(evaluation) mode.
         bool m_eval;
         // Determines whether to use per-activation (used after non-convolutional layers like fully connected)
@@ -770,6 +799,11 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         shared_ptr<Matrix<ElemType>> m_dScale;
         // Stores bias derivatives.
         shared_ptr<Matrix<ElemType>> m_dBias;
+
+        std::unique_ptr<ConvolutionEngineFactory<ElemType>> m_factory;
+        std::unique_ptr<ConvolutionEngine<ElemType>> m_convEng;
+        std::unique_ptr<ConvolutionTensor4D> m_inT;
+        std::unique_ptr<ConvolutionTensor4D> m_scaleBiasT;
     };
 
     template class BatchNormalizationNode<float>; 
diff --git a/Source/ComputationNetworkLib/EsotericNodes.h b/Source/ComputationNetworkLib/EsotericNodes.h
index 22c91ad23..062b930de 100644
--- a/Source/ComputationNetworkLib/EsotericNodes.h
+++ b/Source/ComputationNetworkLib/EsotericNodes.h
@@ -18,6 +18,635 @@ namespace Microsoft { namespace MSR { namespace CNTK {
     // This header collects special-purpose nodes.
     // It is likely that these are no longer functional.
 
+#ifndef ENABLE_BROADCASTING_ELEMENTTIMES
+    // -----------------------------------------------------------------------
+    // ScaleNode (scalar scaling factor, matrix)
+    //
+    // Identical to ElementTimesNode with tensor lib (broadcasting). Can be removed.
+    // -----------------------------------------------------------------------
+
+    template<class ElemType>
+    class ScaleNode : public ComputationNode<ElemType>, public NumInputs<2>
+    {
+        typedef ComputationNode<ElemType> Base; UsingComputationNodeMembersBoilerplate;
+        static const std::wstring TypeName() { return L"Scale"; }
+    public:
+        DeclareConstructorFromConfigWithNumInputs(ScaleNode);
+        ScaleNode(DEVICEID_TYPE deviceId, const wstring & name) :
+            Base(deviceId, name)
+        { }
+
+        virtual void /*ComputationNode::*/BackpropTo(const size_t inputIndex, const FrameRange & fr) override
+        {
+#ifdef ENABLE_TENSORVIEW    // This takes a big perf hit since our reduction uses only a single thread in this case. Needs to be fixed.
+            size_t rank = DetermineElementwiseTensorRank();
+            auto gradient = GradientTensorFor(rank, fr);
+            auto inputGradient = Input(inputIndex)->GradientTensorFor(rank, fr.AllowBroadcast());
+            auto otherInputValue = Input(1 - inputIndex)->ValueTensorFor(rank, fr.AllowBroadcast());
+
+            // if reduction then mask the respective input(s) (zero out the gaps)
+            if (Input(inputIndex)->GetNumCols() < GetNumCols())
+                MaskMissingGradientColumnsToZero(fr);
+            if (Input(inputIndex)->GetNumCols() < Input(1 - inputIndex)->GetNumCols())
+                Input(1 - inputIndex)->MaskMissingValueColumnsToZero(fr);
+
+            inputGradient.AddElementwiseProductOf(gradient, otherInputValue);
+#else
+            if (inputIndex == 0)        // left derivative
+            {
+                // this is a reduction over frames, so we must mask gaps to zero
+                Input(0)->Gradient() += Matrix<ElemType>::InnerProductOfMatrices(MaskedGradientFor(fr), Input(1)->MaskedValueFor(fr)); // element-wise product summed up over all
+            }
+            else if (inputIndex == 1)   // right derivative
+            {
+                Matrix<ElemType> sliceInput1Grad = Input(1)->GradientFor(fr);
+                Matrix<ElemType>::Multiply1x1AndWeightedAdd(+1.0f, Input(0)->Value()/*1x1*/, GradientFor(fr), 1.0f, sliceInput1Grad);
+            }
+#endif
+        }
+
+        virtual bool OutputUsedInComputingInputNodesGradients() const override
+        {
+            // The ScaleNode does not require its output value for computing
+            // the gradients of its input nodes
+            return false;
+        }
+
+        virtual void /*ComputationNode::*/ForwardProp(const FrameRange & fr) override  
+        {
+#ifdef ENABLE_TENSORVIEW
+            static int c = 0; if (c++ == 0) { fprintf(stderr, "#SCALE#\n"); }
+            size_t rank = DetermineElementwiseTensorRank();
+            auto result = ValueTensorFor(rank, fr);
+            auto input0 = Input(0)->ValueTensorFor(rank, fr.AllowBroadcast());
+            auto input1 = Input(1)->ValueTensorFor(rank, fr.AllowBroadcast());
+            result.AssignElementwiseProductOf(input0, input1);
+#else
+            ValueFor(fr).Assign1x1ProductOf(Input(0)->Value()/*1x1*/, Input(1)->ValueFor(fr));
+#endif
+        }
+
+        virtual void /*ComputationNodeBase::*/Validate(bool isFinalValidationPass) override
+        {
+            Base::Validate(isFinalValidationPass);
+            InferMBLayoutFromInputsForStandardCase();
+
+            // left node must be a scalar
+            if (isFinalValidationPass && (Input(0)->GetNumRows() != 1 || Input(0)->GetNumCols() != 1))
+                RuntimeError("The left value of ScaleNode must be a scalar value.");
+
+            SetDims(Input(1));
+        }
+    };
+
+    template class ScaleNode<float>; 
+    template class ScaleNode<double>;
+
+    // -----------------------------------------------------------------------
+    // RowElementTimesNode (left, right)  --TODO: what are left and right?
+    //
+    // TODO: This is subsumed by ElementTimes with tensor lib.
+    // -----------------------------------------------------------------------
+
+    template<class ElemType>
+    class RowElementTimesNode : public ComputationNode<ElemType>, public NumInputs<2>
+    {
+        typedef ComputationNode<ElemType> Base; UsingComputationNodeMembersBoilerplate;
+        static const std::wstring TypeName() { return L"RowElementTimes"; }
+    public:
+        DeclareConstructorFromConfigWithNumInputs(RowElementTimesNode);
+        RowElementTimesNode(DEVICEID_TYPE deviceId, const wstring & name) :
+            Base(deviceId, name)
+        { }
+
+        void BackpropToMap(const size_t inputIndex)
+        {
+            if (inputIndex > 1)
+                InvalidArgument("RowElementTimes operation only takes two inputs.");
+
+            if (inputIndex == 0)
+            {
+                BackpropToLeftS(Input(1)->Value(), Input(0)->Gradient(), Gradient(), *m_tempMatrix);
+            }
+            else
+            {
+                BackpropToRightS(Input(0)->Value(), Input(1)->Gradient(), Gradient(), *m_tempMatrix);
+            }
+        }
+
+        virtual void /*ComputationNode::*/BackpropTo(const size_t inputIndex, const FrameRange & fr) override
+        {
+            if (fr.IsAllFrames()) { BackpropToMap(inputIndex); return; } // TODO: remove these one by one
+            Matrix<ElemType> sliceInput0Grad = Input(inputIndex)->GradientFor(fr);
+            Matrix<ElemType> sliceOutputGrad = GradientFor(fr);
+
+            Matrix<ElemType> sliceInput1Value = Input(1 - inputIndex)->ValueFor(fr);
+
+            if (inputIndex == 0)
+            {
+                BackpropToLeftS(sliceInput1Value, sliceInput0Grad, sliceOutputGrad, *m_tempMatrix);
+            }
+            else
+            {
+                BackpropToRightS(sliceInput1Value, sliceInput0Grad, sliceOutputGrad, *m_tempMatrix);
+            }
+        }
+
+        virtual bool OutputUsedInComputingInputNodesGradients() const override
+        {
+            // The RowElementTimesNode does not require its output value for computing
+            // the gradients of its input nodes
+            return false;
+        }
+
+        //left (input 0) is a matrix
+        /*TODO: merge with call site*/void BackpropToLeftS(Matrix<ElemType>& input1FunctionValues,
+            Matrix<ElemType>& input0GradientValues, 
+            const Matrix<ElemType>& gradientValues, 
+            Matrix<ElemType>& tempMatrix)
+        {
+            tempMatrix.SetValue(gradientValues);
+            tempMatrix.RowElementMultiplyWith(input1FunctionValues);
+            input0GradientValues += tempMatrix;
+
+#if NANCHECK
+            input0GradientValues.HasNan("RowElementTimes");
+#endif
+        }
+
+        //right (input 1) is a row vector
+        /*TODO: merge with call site*/void BackpropToRightS(Matrix<ElemType>& input0FunctionValues, 
+            Matrix<ElemType>& input1GradientValues, 
+            const Matrix<ElemType>& gradientValues, 
+            Matrix<ElemType>& tempMatrix)
+        {
+            tempMatrix.AssignInnerProductOf(gradientValues, input0FunctionValues, true);
+            input1GradientValues += tempMatrix;
+
+#if NANCHECK
+            input1GradientValues.HasNan("RowElementTimes");
+#endif
+        }
+        void ForwardPropMap()    // TODO: This is a stop-gap; in most cases, we should just be able to delete this (but need to review one by one)
+        {
+            ForwardPropS(Value(), Input(0)->Value(), Input(1)->Value());
+        }
+
+        virtual void /*ComputationNode::*/ForwardProp(const FrameRange & fr) override
+        {
+            //if (fr.IsAllFrames()) { ForwardPropMap(); return; }
+            Matrix<ElemType> sliceInput0Value = Input(0)->ValueFor(fr);
+            Matrix<ElemType> sliceInput1Value = Input(1)->ValueFor(fr);
+            Matrix<ElemType> sliceOutputValue = ValueFor(fr);
+
+            ForwardPropS(sliceOutputValue, sliceInput0Value, sliceInput1Value);
+        }
+
+        /*TODO: merge with call site*/void ForwardPropS(Matrix<ElemType>& functionValues, const Matrix<ElemType>& input0, const Matrix<ElemType>& input1)
+        {
+            functionValues.SetValue(input0);
+            functionValues.RowElementMultiplyWith(input1);
+
+#if NANCHECK
+            functionValues.HasNan("RowElementTimes");
+#endif
+        }
+
+        virtual void /*ComputationNodeBase::*/Validate(bool isFinalValidationPass) override
+        {
+            Base::Validate(isFinalValidationPass);
+            InferMBLayoutFromInputsForStandardCase();
+
+            size_t rows0 = Input(0)->GetNumRows(), cols0 = Input(0)->GetNumCols();
+            size_t rows1 = Input(1)->GetNumRows(), cols1 = Input(1)->GetNumCols(); rows0;
+            if (isFinalValidationPass && cols0 != cols1 || rows1 != 1)
+                LogicError("RowElementTimes: Either the second operand is not a row vector or the number of columns of operands does not match.");
+
+            SetDims(Input(0));
+        }
+
+        //request matrices that are needed for gradient computation
+        virtual void RequestMatricesBeforeBackprop(MatrixPool& matrixPool)
+        {
+            Base::RequestMatricesBeforeBackprop(matrixPool);
+            RequestMatrixFromPool(m_tempMatrix, matrixPool);
+        }
+
+        //release gradient and temp matrices that no longer needed after all the children's gradients are computed.
+        virtual void ReleaseMatricesAfterBackprop(MatrixPool& matrixPool)
+        {
+            Base::ReleaseMatricesAfterBackprop(matrixPool);
+            ReleaseMatrixToPool(m_tempMatrix, matrixPool);
+        }
+
+    private:
+        shared_ptr<Matrix<ElemType>> m_tempMatrix;
+    };
+
+    template class RowElementTimesNode<float>;
+    template class RowElementTimesNode<double>;
+
+    // -----------------------------------------------------------------------
+    // ColumnElementTimesNode (left, right)  --TODO: what are left and right?
+    //
+    // TODO: This is subsumed by ElementTimes with tensor lib.
+    // -----------------------------------------------------------------------
+
+    template<class ElemType>
+    class ColumnElementTimesNode : public ComputationNode<ElemType>, public NumInputs<2>
+    {
+        typedef ComputationNode<ElemType> Base; UsingComputationNodeMembersBoilerplate;
+        static const std::wstring TypeName() { return L"ColumnElementTimes"; }
+    public:
+        DeclareConstructorFromConfigWithNumInputs(ColumnElementTimesNode);
+        ColumnElementTimesNode(DEVICEID_TYPE deviceId, const wstring & name) :
+            Base(deviceId, name)
+        { }
+
+        void BackpropToMap(const size_t inputIndex)
+        {
+            if (inputIndex > 1)
+                InvalidArgument("ColumnElementTimes operation only takes two inputs.");
+
+            if (inputIndex == 0)
+            {
+                BackpropToLeftS(Input(1)->Value(), Input(0)->Gradient(), Gradient(), *m_tempMatrix);
+            }
+            else
+            {
+                BackpropToRightS(Input(0)->Value(), Input(1)->Gradient(), Gradient(), *m_tempMatrix);
+            }
+        }
+
+        virtual void /*ComputationNode::*/BackpropTo(const size_t inputIndex, const FrameRange & fr) override
+        {
+            if (fr.IsAllFrames()) { BackpropToMap(inputIndex); return; } // TODO: remove these one by one
+            Matrix<ElemType> sliceOutputGrad = GradientFor(fr);
+
+            if (inputIndex == 0)
+            {
+                Matrix<ElemType> sliceInput0Grad = Input(0)->GradientFor(fr);
+
+                BackpropToLeftS(Input(1)->Value(), sliceInput0Grad, sliceOutputGrad, *m_tempMatrix);
+            }
+            else
+            {
+                Matrix<ElemType> sliceInput0Value = Input(0)->ValueFor(fr);
+                BackpropToRightS(sliceInput0Value, Input(1)->Gradient(), sliceOutputGrad, *m_tempMatrix);
+            }
+        }
+
+        virtual bool OutputUsedInComputingInputNodesGradients() const override
+        {
+            // The ColumnElementTimesNode does not require its output value for computing
+            // the gradients of its input nodes
+            return false;
+        }
+
+        //left (input 0) is a matrix
+        /*TODO: merge with call site*/void BackpropToLeftS(Matrix<ElemType>& input1FunctionValues,
+            Matrix<ElemType>& input0GradientValues,
+            const Matrix<ElemType>& gradientValues,
+            Matrix<ElemType>& tempMatrix)
+        {
+            tempMatrix.SetValue(gradientValues);
+            tempMatrix.ColumnElementMultiplyWith(input1FunctionValues);
+            input0GradientValues += tempMatrix;
+
+#if NANCHECK
+            input0GradientValues.HasNan("ColumnElementTimes");
+#endif
+        }
+
+        //right (input 1) is a col vector
+        /*TODO: merge with call site*/void BackpropToRightS(Matrix<ElemType>& input0FunctionValues,
+            Matrix<ElemType>& input1GradientValues,
+            const Matrix<ElemType>& gradientValues,
+            Matrix<ElemType>& tempMatrix)
+        {
+            tempMatrix.AssignInnerProductOf(gradientValues, input0FunctionValues, false);
+            input1GradientValues += tempMatrix;
+
+#if NANCHECK
+            input1GradientValues.HasNan("ColumnElementTimes");
+#endif
+        }
+        void ForwardPropMap()    // TODO: This is a stop-gap; in most cases, we should just be able to delete this (but need to review one by one)
+        {
+            ForwardPropS(Value(), Input(0)->Value(), Input(1)->Value());
+        }
+
+        virtual void /*ComputationNode::*/ForwardProp(const FrameRange & fr) override
+        {
+            //if (fr.IsAllFrames()) { ForwardPropMap(); return; }
+            Matrix<ElemType> sliceInput0Value = Input(0)->ValueFor(fr);
+            Matrix<ElemType> sliceOutputValue = ValueFor(fr);
+
+            ForwardPropS(sliceOutputValue, sliceInput0Value, Input(1)->Value());
+        }
+
+        /*TODO: merge with call site*/void ForwardPropS(Matrix<ElemType>& functionValues, const Matrix<ElemType>& input0, const Matrix<ElemType>& input1)
+        {
+            functionValues.SetValue(input0);
+            functionValues.ColumnElementMultiplyWith(input1);
+
+#if NANCHECK
+            functionValues.HasNan("ColumnElementTimes");
+#endif
+        }
+
+        virtual void /*ComputationNodeBase::*/Validate(bool isFinalValidationPass) override
+        {
+            Base::Validate(isFinalValidationPass);
+            InferMBLayoutFromInputsForStandardCase();
+
+            //derive number of rows if possible
+            for (size_t index = 0; index < 2; index++)
+            {
+                size_t rows = Input(index)->GetNumRows() == 0 ? Input(1 - index)->GetNumRows() : Input(index)->GetNumRows();
+                size_t cols = Input(index)->GetNumCols() == 0 ? Input(1 - index)->GetNumCols() : Input(index)->GetNumCols();
+                ValidateInferInputDims(index, rows, cols);
+            }
+
+            size_t rows0 = Input(0)->GetNumRows(), cols0 = Input(0)->GetNumCols();
+            size_t rows1 = Input(1)->GetNumRows(), cols1 = Input(1)->GetNumCols(); cols0;
+            if (isFinalValidationPass && (rows0 != rows1 || cols1 != 1))
+                LogicError("ColumnElementTimes: Either the second operand is not a column vector or the number of rows of operands does not match.");
+
+            SetDims(Input(0));
+        }
+
+        //request matrices that are needed for gradient computation
+        virtual void RequestMatricesBeforeBackprop(MatrixPool& matrixPool)
+        {
+            Base::RequestMatricesBeforeBackprop(matrixPool);
+            RequestMatrixFromPool(m_tempMatrix, matrixPool);
+        }
+
+        //release gradient and temp matrices that no longer needed after all the children's gradients are computed.
+        virtual void ReleaseMatricesAfterBackprop(MatrixPool& matrixPool)
+        {
+            Base::ReleaseMatricesAfterBackprop(matrixPool);
+            ReleaseMatrixToPool(m_tempMatrix, matrixPool);
+        }
+
+    private:
+        shared_ptr<Matrix<ElemType>> m_tempMatrix;
+    };
+
+    template class ColumnElementTimesNode<float>;
+    template class ColumnElementTimesNode<double>;
+
+    // -----------------------------------------------------------------------
+    // RectifiedLinearNode (input) -- ReLU non-linearity
+    // -----------------------------------------------------------------------
+
+    template<class ElemType>
+    class RectifiedLinearNode : public SoftmaxNodeBase<ElemType>
+    {
+        typedef SoftmaxNodeBase<ElemType> Base; UsingSoftmaxNodeBaseMembers;
+        static const std::wstring TypeName() { return L"RectifiedLinear"; }
+    public:
+        DeclareConstructorFromConfigWithNumInputs(RectifiedLinearNode);
+        RectifiedLinearNode(DEVICEID_TYPE deviceId, const wstring & name) :
+            Base(deviceId, name)
+        { }
+
+        void BackpropToV(Matrix<ElemType>& gradient, const Matrix<ElemType>& inputFunctionValues, Matrix<ElemType>& inputGradientValues, const Matrix<ElemType>& gradientValues, const Matrix<ElemType>& functionValues) override
+        {
+            gradient.AssignLinearRectifierDerivativeOf(inputFunctionValues);
+#if DUMPOUTPUT
+            inputGradientValues.Print("RecitifiedLinearNode-Partial-in");
+#endif
+            inputGradientValues.AddElementProductOf(gradientValues, gradient);
+#if DUMPOUTPUT
+            inputGradientValues.Print("RecitifiedLinearNode-Partial-out");
+#endif
+        }
+
+        virtual bool OutputUsedInComputingInputNodesGradients() const override
+        {
+            // The ReLU node does not require its output value for computing
+            // the gradients of its input nodes
+            return false;
+        }
+
+        void ForwardPropV(Matrix<ElemType>& functionValues, const Matrix<ElemType>& inputFunctionValues) override
+        {
+            functionValues.AssignTruncateBottomOf(inputFunctionValues, 0);
+#if DUMPOUTPUT
+            functionValues.Print("RectifiedLinearNode");
+#endif
+        }
+    };
+
+    template class RectifiedLinearNode<float>;
+    template class RectifiedLinearNode<double>;
+
+    // -----------------------------------------------------------------------
+    // SigmoidNode (input) -- sigmoid non-linearity
+    // -----------------------------------------------------------------------
+
+    template<class ElemType>
+    class SigmoidNode : public SoftmaxNodeBase<ElemType>
+    {
+        typedef SoftmaxNodeBase<ElemType> Base; UsingSoftmaxNodeBaseMembers;
+        static const std::wstring TypeName() { return L"Sigmoid"; }
+    public:
+        DeclareConstructorFromConfigWithNumInputs(SigmoidNode);
+        SigmoidNode(DEVICEID_TYPE deviceId, const wstring & name) :
+            Base(deviceId, name)
+        { }
+
+        virtual bool InputUsedInComputingInputNodesGradients(size_t childIndex) const override
+        {
+            // The Sigmoid node does not require any of it's input's values for computing
+            // the gradients of its input nodes
+            UNREFERENCED_PARAMETER(childIndex);
+            return false;
+        }
+
+        /*virtual*/ void BackpropToV(Matrix<ElemType>& gradient, const Matrix<ElemType>& inputFunctionValues, Matrix<ElemType>& inputGradientValues, const Matrix<ElemType>& gradientValues, const Matrix<ElemType>& functionValues)
+        {
+            gradient.AssignSigmoidDerivativeOf(functionValues);
+            inputGradientValues.AddElementProductOf(gradientValues, gradient);
+        }
+
+        /*virtual*/ void ForwardPropV(Matrix<ElemType>& functionValues, const Matrix<ElemType>& inputFunctionValues) override
+        {
+            functionValues.AssignSigmoidOf(inputFunctionValues);
+        }
+    };
+
+    template class SigmoidNode<float>;
+    template class SigmoidNode<double>;
+
+    // -----------------------------------------------------------------------
+    // TanhNode (input) -- tanh non-linearity
+    // -----------------------------------------------------------------------
+
+    template<class ElemType>
+    class TanhNode : public SoftmaxNodeBase<ElemType>
+    {
+        typedef SoftmaxNodeBase<ElemType> Base; UsingSoftmaxNodeBaseMembers;
+        static const std::wstring TypeName() { return L"Tanh"; }
+    public:
+        DeclareConstructorFromConfigWithNumInputs(TanhNode);
+        TanhNode(DEVICEID_TYPE deviceId, const wstring & name) :
+            Base(deviceId, name)
+        { }
+
+        virtual bool InputUsedInComputingInputNodesGradients(size_t childIndex) const override
+        {
+            // The plus node does not require any of it's input's values for computing
+            // the gradients of its input nodes
+            UNREFERENCED_PARAMETER(childIndex);
+            return false;
+        }
+
+        /*virtual*/ void BackpropToV(Matrix<ElemType>& gradient, const Matrix<ElemType>& inputFunctionValues, Matrix<ElemType>& inputGradientValues, const Matrix<ElemType>& gradientValues, const Matrix<ElemType>& functionValues)
+        {
+            gradient.AssignElementProductOf(functionValues, functionValues); // v .* v
+            gradient.AssignDifferenceOf(1, gradient); // 1-v^2
+
+            inputGradientValues.AddElementProductOf(gradientValues, gradient); // += d .* ((1-v) .* v))
+        }
+
+        /*virtual*/ void ForwardPropV(Matrix<ElemType>& functionValues, const Matrix<ElemType>& inputFunctionValues) override
+        {
+            functionValues.AssignTanhOf(inputFunctionValues);
+        }
+    };
+
+    template class TanhNode<float>;
+    template class TanhNode<double>;
+
+    // -----------------------------------------------------------------------
+    // LogNode (input) -- component-wise log() of input
+    // -----------------------------------------------------------------------
+
+    template<class ElemType>
+    class LogNode : public SoftmaxNodeBase<ElemType>
+    {
+        typedef SoftmaxNodeBase<ElemType> Base; UsingSoftmaxNodeBaseMembers;
+        static const std::wstring TypeName() { return L"Log"; }
+    public:
+        DeclareConstructorFromConfigWithNumInputs(LogNode);
+        LogNode(DEVICEID_TYPE deviceId, const wstring & name) :
+            Base(deviceId, name)
+        { }
+
+        virtual bool OutputUsedInComputingInputNodesGradients() const override
+        {
+            // The plus node does not require its output value for computing
+            // the gradients of its input nodes
+            return false;
+        }
+
+        /*virtual*/ void BackpropToV(Matrix<ElemType>& gradient, const Matrix<ElemType>& inputFunctionValues, Matrix<ElemType>& inputGradientValues, const Matrix<ElemType>& gradientValues, const Matrix<ElemType>& functionValues)
+        {
+            gradient.AssignElementInverseOf(inputFunctionValues); // 1/x (x is input to log(x))
+            inputGradientValues.AddElementProductOf(gradientValues, gradient);
+            // TODO: with tensor lib:
+            //inputGradientValues.AddElementDivisionOf(gradientValues, inputFunctionValues); // 1/x (x is input to log(x))
+        }
+
+        /*virtual*/ void ForwardPropV(Matrix<ElemType>& functionValues, const Matrix<ElemType>& inputFunctionValues) override
+        {
+            functionValues.AssignLogOf(inputFunctionValues);
+        }
+    };
+
+    template class LogNode<float>;
+    template class LogNode<double>;
+
+    // -----------------------------------------------------------------------
+    // ExpNode (input) -- component-wise exp() of input
+    // -----------------------------------------------------------------------
+
+    template<class ElemType>
+    class ExpNode : public SoftmaxNodeBase<ElemType>
+    {
+        typedef SoftmaxNodeBase<ElemType> Base; UsingSoftmaxNodeBaseMembers;
+        static const std::wstring TypeName() { return L"Exp"; }
+    public:
+        DeclareConstructorFromConfigWithNumInputs(ExpNode);
+        ExpNode(DEVICEID_TYPE deviceId, const wstring & name) :
+            Base(deviceId, name)
+        { }
+
+        virtual void /*ComputationNode::*/BackpropTo(const size_t inputIndex, const FrameRange & fr) override
+        {
+            assert(inputIndex == 0); inputIndex;
+
+            Matrix<ElemType> sliceInputGrad = Input(0)->GradientFor(fr);
+            Matrix<ElemType> sliceOutputGrad = GradientFor(fr);
+            Matrix<ElemType> sliceInputValue = Input(0)->ValueFor(fr);
+
+            m_gradientTemp->AssignExpOf(sliceInputValue); // Exp(x) is its own partial
+            sliceInputGrad.AddElementProductOf(sliceOutputGrad, *m_gradientTemp);
+            // TODO: with tensor lib:
+            // sliceInputGrad.AddElementProductOf(sliceOutputGrad, functionValues);
+            // and set OutputUsed
+        }
+
+        virtual bool OutputUsedInComputingInputNodesGradients() const override
+        {
+            // The ExpNode does not require its output value for computing
+            // the gradients of its input nodes
+            return false;
+        }
+
+        virtual void BackpropToV(Matrix<ElemType>& gradient, const Matrix<ElemType>& inputFunctionValues, Matrix<ElemType>& inputGradientValues, const Matrix<ElemType>& gradientValues, const Matrix<ElemType>& functionValues) override { NOT_IMPLEMENTED; }   // not needed
+
+        void ForwardPropV(Matrix<ElemType>& functionValues, const Matrix<ElemType>& inputFunctionValues) override
+        {
+            functionValues.AssignExpOf(inputFunctionValues);
+        }
+    };
+
+    template class ExpNode<float>;
+    template class ExpNode<double>;
+
+    // -----------------------------------------------------------------------
+    // CosineNode (input) -- component-wise cos() of input
+    // -----------------------------------------------------------------------
+
+    template<class ElemType>
+    class CosineNode : public SoftmaxNodeBase<ElemType>
+    {
+        typedef SoftmaxNodeBase<ElemType> Base; UsingSoftmaxNodeBaseMembers;
+        static const std::wstring TypeName() { return L"Cosine"; }
+    public:
+        DeclareConstructorFromConfigWithNumInputs(CosineNode);
+        CosineNode(DEVICEID_TYPE deviceId, const wstring & name) :
+            Base(deviceId, name)
+        { }
+
+        virtual bool OutputUsedInComputingInputNodesGradients() const override
+        {
+            // The CosineNode does not require its output value for computing
+            // the gradients of its input nodes
+            return false;
+        }
+
+        /*virtual*/ void BackpropToV(Matrix<ElemType>& gradient, const Matrix<ElemType>& inputFunctionValues, Matrix<ElemType>& inputGradientValues, const Matrix<ElemType>& gradientValues, const Matrix<ElemType>& functionValues)
+        {
+            gradient.AssignNegativeSineOf(inputFunctionValues); // -sin(x) (x is input to Cosine(x))
+            inputGradientValues.AddElementProductOf(gradientValues, gradient);
+            // TODO: tensor lib: make a joint kernel, since neg sin is never used for anything else
+        }
+
+        /*virtual*/ void ForwardPropV(Matrix<ElemType>& functionValues, const Matrix<ElemType>& inputFunctionValues) override
+        {
+            functionValues.AssignCosineOf(inputFunctionValues);
+        }
+    };
+
+    template class CosineNode<float>;
+    template class CosineNode<double>;
+#endif
+
     // -----------------------------------------------------------------------
     /// DummyCriterionNode (objectives, derivatives, prediction)
     // -----------------------------------------------------------------------
@@ -71,6 +700,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         virtual void /*ComputationNodeBase::*/Validate(bool isFinalValidationPass) override
         {
             Base::Validate(isFinalValidationPass);
+            m_pMBLayout = nullptr;    // this node does not hold mini-batch data
 
             if (Input(0)->OperationName() != L"InputValue")
                 LogicError("DummyCriterionNode criterion requires the first input to be computed objectives.");
@@ -86,16 +716,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
                 LogicError("The Matrix dimension in the DummyCriterionNode operation does not match.");
             }
 
-            SetDims(1,1);
-            m_pMBLayout = nullptr;    // this node does not hold mini-batch data
-            InferImageDimsFromInputs(); 
-        }
-
-        virtual void InferImageDimsFromInputs()
-        {
-            InferImageDimsFromInput(0, false);
-
-            m_sampleLayout = TensorShape();
+            SetDims(TensorShape(1), 1);
         }
     };
 
@@ -262,6 +883,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         virtual void /*ComputationNodeBase::*/Validate(bool isFinalValidationPass) override
         {
             Base::Validate(isFinalValidationPass);
+            InferMBLayoutFromInputsForStandardCase();
 
             if (isFinalValidationPass)
                 if (!(Input(1)->GetNumRows() == Input(2)->GetNumRows() &&  // position dependent and pair scores have same number of labels
@@ -271,16 +893,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
                 {
                     LogicError("The Matrix<ElemType>  dimension in the SequenceDecoderNode operation does not match.");
                 }
-            // BUGBUG: Not resizing FunctionValues?
-
-            InferMBLayoutFromInputsForStandardCase();
-            InferImageDimsFromInputs();
-        }
-
-        virtual void InferImageDimsFromInputs()
-        {
-            InferImageDimsFromInput(0, false);
-
+            // BUGBUG: No SetDims()?
             m_sampleLayout = TensorShape();
         }
     };
@@ -502,9 +1115,9 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             UpdateStride(sliceInput1Value);
 
             if (m_strideDim == 0)
-                SetDims(rows0 / GetNumParallelSequences(), cols1);
-            if (m_strideDim == 1)       // TODO: no else??
-                SetDims(rows0, cols1);
+                SetDims(TensorShape(rows0 / GetNumParallelSequences()), cols1);
+            else
+                SetDims(Input(0)->GetSampleLayout(), cols1);
 
             Matrix<ElemType> sliceOutputValue = ValueFor(fr);
 
@@ -594,6 +1207,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         virtual void /*ComputationNodeBase::*/Validate(bool isFinalValidationPass) override
         {
             Base::Validate(isFinalValidationPass);
+            LinkToMBLayout(Input(1)->GetMBLayout());   // retains the layout of the right input
 
             if (Input(2)->Value().GetNumElements() != 1)
                 RuntimeError("%ls %ls operation: Input(2) should be a single element matrix and have the value 0 (row) or 1 (col).", NodeName().c_str(), OperationName().c_str());
@@ -611,26 +1225,18 @@ namespace Microsoft { namespace MSR { namespace CNTK {
                 if (isFinalValidationPass && rows1 != cols0)
                     RuntimeError("The Matrix dimension in the StrideTimes operation in dim %d does not match for cols %d in A and rows %d in B.", (int)m_strideDim, (int)cols0, (int)rows1);
                 size_t T1 = rows0 / m_stride;
-                SetDims(T1, cols1);
+                SetDims(TensorShape(T1), cols1);
+                //after multiplication the structure is lost
             }
 
             else // by col
             {
                 if (isFinalValidationPass && cols0 != rows1 * m_stride)
                     RuntimeError("The Matrix dimension in the StrideTimes operation in dim %d does not match for cols %d in A and row number %d in B.", (int)m_strideDim, (int)cols0, (int)rows1);
-                SetDims(rows0, cols1);
+                SetDims(TensorShape(rows0), cols1);
+                //after multiplication the structure is lost
             }
-            LinkToMBLayout(Input(1)->GetMBLayout());   // retains the layout of the right input
 
-            InferImageDimsFromInputs();
-        }
-
-        virtual void InferImageDimsFromInputs()
-        {
-            InferImageDimsFromInput(1, false); //the second one is the input since it's column wize
-
-            //after multiplication the structure is lost
-            m_sampleLayout = TensorShape(Input(0)->GetNumRows());
         }
     };
 
@@ -654,7 +1260,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         void Init(size_t row_size, size_t col_size)
         {
             CreateMatrixIfNull(m_value);
-            SetDims(row_size, col_size);
+            SetDims(TensorShape(row_size), col_size);
             UpdateFunctionValuesSize();
         }
     public:
@@ -702,13 +1308,13 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         virtual void /*ComputationNodeBase::*/Validate(bool isFinalValidationPass) override
         {
             Base::Validate(isFinalValidationPass);
+            InferMBLayoutFromInputsForStandardCase();
 
             size_t rows0 = Input(0)->GetNumRows(), cols0 = Input(0)->GetNumCols();
             if (rows0 > 0 && cols0 > 0) // TODO: is this check needed?
                 SetDims(Input(0));
-
-            InferMBLayoutFromInputsForStandardCase();
-            InferImageDimsFromInputs();
+            else
+                SetDims(Input(0)->GetSampleLayout(), 0);
         }
     };
 
@@ -1211,7 +1817,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             size_t outputDim = Input(1)->GetNumRows();
 
             {
-                SetDims(outputDim, nT);
+                SetDims1(outputDim, nT);
                 Value().SetValue(NAN);  // set to this extrem value so, if anything wrong in later procedure, problems can be easily spotted. 
                 m_State.Resize(outputDim, nT);
                 m_State.SetValue(NAN);  // set to this extrem value so, if anything wrong in later procedure, problems can be easily spotted. 
@@ -1529,9 +2135,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         virtual void /*ComputationNodeBase::*/Validate(bool isFinalValidationPass) override
         {
             Base::Validate(isFinalValidationPass);
-
             InferMBLayoutFromInputsForStandardCase();
-            InferImageDimsFromInputs();
 
             if (Input(0)->Value().GetMatrixType() == SPARSE)
                 LogicError("LSTMNode: input to LSTM has to be dense matrix. Consider adding a project layer using lookuptable before LSTM node. ");
@@ -1581,7 +2185,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
                 }
             }
 
-            SetDims(noutdim, nT);
+            SetDims(TensorShape(noutdim), nT);
             Value().SetValue(NAN);  // set to this extrem value so, if anything wrong in later procedure, problems can be easily spotted. 
         }
 
@@ -1618,18 +2222,18 @@ namespace Microsoft { namespace MSR { namespace CNTK {
                 for (size_t i = 0; i < nT; i++)
                     target(0, i) = 1;
 
-                Input(0)->SetDims(nInput, nT);
+                Input(0)->SetDims1(nInput, nT);
                 Input(0)->Value().SetValue(ConstOnes(nInput, nT, m_deviceId));
                 Input(0)->Value().SetValue((ElemType)0.1);
-                Input(1)->SetDims(nHidden, nInput + nOutput + 2);
+                Input(1)->SetDims1(nHidden, nInput + nOutput + 2);
                 Input(1)->Value().SetValue((ElemType)0.1);
-                Input(2)->SetDims(nHidden, nInput + nHidden + 2);
+                Input(2)->SetDims1(nHidden, nInput + nHidden + 2);
                 Input(2)->Value().SetValue((ElemType)0.1);
-                Input(3)->SetDims(nOutput, nInput + nHidden + 2);
+                Input(3)->SetDims1(nOutput, nInput + nHidden + 2);
                 Input(3)->Value().SetValue((ElemType)0.1);
-                Input(4)->SetDims(nOutput, nHidden + nInput + 1);
+                Input(4)->SetDims1(nOutput, nHidden + nInput + 1);
                 Input(4)->Value().SetValue((ElemType)0.1);
-                SetDims(nOutput, nT);
+                SetDims1(nOutput, nT);
 
                 m_DefaultState = 0.0;
                 ForwardProp(FrameRange(m_pMBLayout));
@@ -1691,11 +2295,6 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             return true;
         }
 
-        virtual void InferImageDimsFromInputs()
-        {
-            InferImageDimsFromInput(1, false);
-        }
-
         virtual void DumpNodeInfo(const bool printValues, File& fstream) const override
         {
             Base::DumpNodeInfo(printValues, fstream);
diff --git a/Source/ComputationNetworkLib/EvaluationCriterionNodes.h b/Source/ComputationNetworkLib/EvaluationCriterionNodes.h
index 49564513f..6d736a5e5 100644
--- a/Source/ComputationNetworkLib/EvaluationCriterionNodes.h
+++ b/Source/ComputationNetworkLib/EvaluationCriterionNodes.h
@@ -77,13 +77,6 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             m_maxValues->Resize(m_topK, cols);
         }
 
-        virtual void InferImageDimsFromInputs()
-        {
-            InferImageDimsFromInput(0, false);
-
-            m_sampleLayout = TensorShape();
-        }
-
         virtual void CopyTo(ComputationNodeBasePtr nodeP, const std::wstring& newName, const CopyNodeFlags flags) const override
         {
             Base::CopyTo(nodeP, newName, flags);
diff --git a/Source/ComputationNetworkLib/InputAndParamNodes.h b/Source/ComputationNetworkLib/InputAndParamNodes.h
index de1dfadb0..47cd02d8f 100644
--- a/Source/ComputationNetworkLib/InputAndParamNodes.h
+++ b/Source/ComputationNetworkLib/InputAndParamNodes.h
@@ -28,6 +28,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
     // -----------------------------------------------------------------------
     // LearnableParameter (/*no input*/)
     // represents weight matrices and biases
+    // TODO: add -Node to the class name
     // -----------------------------------------------------------------------
 
     template<class ElemType>
@@ -40,20 +41,33 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             Base(deviceId, name)
         {
             m_parameterUpdateRequired = true;
-            m_sampleLayout = TensorShape();
+            SetDims(TensorShape(), 0);
         }
-        LearnableParameter(DEVICEID_TYPE deviceId, const wstring & name, size_t rows, size_t cols) :
+        LearnableParameter(DEVICEID_TYPE deviceId, const wstring & name, const TensorShape & shape) :
             Base(deviceId, name)
         {
             m_parameterUpdateRequired = true;
             CreateMatrixIfNull(m_value);
-            SetDims(TensorShape(rows), cols);
+            // for now we split off the trailing dimension into the matrix column dimension
+            // TODO: This is for compat, but is is inconsistent. Decide what a sample layout means for a node without MBLayout w.r.t. non-tensor ops.
+            auto dims = shape.GetDims();
+            size_t cols = 1;
+            if (dims.size() > 1)
+            {
+                cols = dims.back();
+                dims.resize(dims.size()-1);
+            }
+            SetDims(TensorShape(dims), cols);
             UpdateFunctionValuesSize();   // this allocates the matrix
             Value().SetValue(0);
         }
+        LearnableParameter(DEVICEID_TYPE deviceId, const wstring & name, size_t rows, size_t cols) :
+            LearnableParameter(deviceId, name, TensorShape(rows, cols))
+        { }
         LearnableParameter(const ScriptableObjects::IConfigRecordPtr configp) :
-            LearnableParameter(configp->Get(L"deviceId"), L"<placeholder>", configp->Get(L"rows"), configp->Get(L"cols"))
+            LearnableParameter(configp->Get(L"deviceId"), L"<placeholder>", configp->Get(L"shape"))
         {
+            // TODO: Change dimensions to take a generic tensor instead. That will be a (minor) breaking change that will require fix-ups when converting from NDL to BrainScript.
             AttachInputs(configp, this->GetExpectedNumInputs());
             // parameters[rows, [cols=1]] plus other optional parameters (needGradient=[true|false], init=[uniform|gaussian|fixedvalue], initValueScale=[1|float], value=[0|float])
             // TODO: "needGradient" should be renamed to better match m_parameterUpdateRequired
@@ -83,7 +97,8 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         {
             Base::Save(fstream);
             fstream << m_parameterUpdateRequired;
-            fstream << GetNumRows() << GetNumCols(); 
+            fstream << (size_t)0/*#rows in a legacy file format*/ << GetNumCols();
+            m_sampleLayout.Save(fstream);
             fstream << Value();
         }
 
@@ -95,8 +110,13 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             fstream >> m_parameterUpdateRequired;
             fstream >> rows >> cols;
 
-            SetDims(TensorShape(rows), cols);
+            TensorShape sampleLayout;
+            if (rows != 0)      // legacy file format
+                sampleLayout = TensorShape(rows);
+            else
+                sampleLayout.Load(fstream);
             LoadValue(fstream);
+            SetDims(sampleLayout, cols);    // note: call this after LoadValue() since LoadValue() overwrites m_sampleLayout
         }
 
         // initialize with random numbers
@@ -106,13 +126,15 @@ namespace Microsoft { namespace MSR { namespace CNTK {
                         bool initOnCPUOnly) // if true then always init on CPU, making initialization consistent across both (for testing)
         {
             size_t inputSize = GetNumCols();
+            //fprintf(stderr, "%d x %d: %d  %ls\n", (int)GetNumRows(), (int)GetNumCols(), (int)randomSeed, NodeName().c_str());
 
             // the random seed offset is set via the "randomSeedOffset" parameter in config
             if (initOnCPUOnly)
                 m_value->TransferToDeviceIfNotThereAndNotAutoPlace(CPUDEVICE, true);
             if (uniformInit)
             {
-                ElemType randRange = 0.05f * initValueScale; //initValueScale/sqrt(inputSize);
+                // TODO: move these crazy extra factors out from here and into NDL, and make them visible in BS
+                ElemType randRange = 0.05f * initValueScale;
                 Value().SetUniformRandomValue(-randRange, randRange, randomSeed);
             }
             else
@@ -159,7 +181,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
 
         virtual void /*ComputationNodeBase::*/Validate(bool isFinalValidationPass) override
         {
-            Base::Validate(isFinalValidationPass);
+            Base::Validate(isFinalValidationPass);
             m_pMBLayout = nullptr;    // this node does not hold mini-batch data
         }
 
@@ -221,6 +243,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
     // InputValueBase (/*no input*/)
     // Base class for InputValue and SparseInputValue (typically fed by a DataReader)
     // this covers four types: (regular vs. image) x (non-sparse vs. sparse)
+    // TODO: add -Node to the class names
     // -----------------------------------------------------------------------
 
     template<class ElemType>
@@ -228,14 +251,14 @@ namespace Microsoft { namespace MSR { namespace CNTK {
     {
         typedef ComputationNode<ElemType> Base; UsingComputationNodeMembers;
 
-        void Init(const TensorShape & sampleLayout, size_t cols, bool isSparse)
+        void Init(const TensorShape & sampleLayout, bool isSparse)
         {
             m_isSparse = isSparse;
             CreateMatrixIfNull(m_value);
             if (isSparse)
                 ConvertToSparseMatrix();
 
-            SetDims(sampleLayout, cols);
+            SetDims(sampleLayout, 0);
             UpdateFunctionValuesSize();     // we must allocate the matrix so that the readers get objects with valid row dimensions (some readers expect that)
             m_parameterUpdateRequired = false;
         }
@@ -243,18 +266,19 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         InputValueBase(DEVICEID_TYPE deviceId, const wstring & name, bool isSparse) :
             Base(deviceId, name)
         {
-            Init(TensorShape(), 0, isSparse);
+            Init(TensorShape(), isSparse);
         }
         InputValueBase(DEVICEID_TYPE deviceId, const wstring & name, size_t rows, size_t cols, bool isSparse) :
             Base(deviceId, name)
         {
-            Init(TensorShape(rows), cols, isSparse);
+            cols;   // BUGBUG: There should be no 'cols' parameter for InputValues, since they must be minibatches.
+            Init(TensorShape(rows), isSparse);
         }
         InputValueBase(DEVICEID_TYPE deviceId, const wstring & name, const TensorShape & imageLayout, size_t numImages, bool isSparse) :
             Base(deviceId, name)
         {
-            size_t cols = numImages;
-            Init(imageLayout, cols, isSparse);
+            numImages;   // BUGBUG: There should be no 'numImages' parameter for InputValues, since they must be minibatches.
+            Init(imageLayout, isSparse);
         }
         InputValueBase(const ScriptableObjects::IConfigRecordPtr configp, bool isSparse) :
             Base(configp->Get(L"deviceId"), L"<placeholder>")
@@ -262,25 +286,18 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             AttachInputs(configp, this->GetExpectedNumInputs());
             bool isImage  = configp->Get(L"isImage");
             if (!isImage)
-            {
-                size_t rows = configp->Get(L"rows");
-                size_t cols = configp->Get(L"cols");
-                Init(TensorShape(rows), cols, isSparse);         // no tensor, just a vector
-            }
+                Init(configp->Get(L"shape"), isSparse);
             else
-            {
-                size_t cols = configp->Get(L"numImages");       // This is actually the MB size.  --TODO: No need to specify it?
-                Init(ImageLayoutWHC(configp->Get(L"imageWidth"), configp->Get(L"imageHeight"), configp->Get(L"imageChannels")), cols, isSparse);
-            }
+                Init(ImageDimensions::AsTensorShape(configp->Get(L"imageWidth"), configp->Get(L"imageHeight"), configp->Get(L"imageChannels"), ImageLayoutKindFrom(configp->Get(L"imageLayout"))), isSparse);
         }
     public:
 
         virtual void Save(File& fstream) const override
         {
             Base::Save(fstream);
-            size_t rows = GetNumRows();                     // using explicitly typed variables to be 100% symmetrical to Load()
-            size_t cols = m_pMBLayout ? 0 : GetNumCols();   // if this Input depends on MB size, we write it as having 0 dimensions
-            fstream << rows << cols;
+            size_t rows = GetNumRows();     // using explicitly typed variables to be 100% symmetrical to Load()
+            size_t colsDummy = 0;           // This should not be saved. InputValues always are minibatches.
+            fstream << rows << colsDummy;
             m_sampleLayout.Save(fstream);
         }
 
@@ -288,11 +305,8 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         {
             Base::Load(fstream, modelVersion);
 
-            size_t rows, cols;
-            fstream >> rows >> cols;
-            // some older files retained the #columns when saving, which is meaningless
-            if (m_pMBLayout)
-                cols = 0;
+            size_t rows, colsDummy;
+            fstream >> rows >> colsDummy;
             TensorShape sampleLayout;
             sampleLayout.Load(fstream);
             // some older files may have inconsistent tensor information
@@ -302,7 +316,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
                         NodeName().c_str(), string(sampleLayout).c_str(), (int)rows);
                 sampleLayout = TensorShape(rows);
             }
-            Init(sampleLayout, cols, m_isSparse);
+            Init(sampleLayout, m_isSparse);
         }
 
         // InputValue must not resize its inputs because that might destroy it. It should already have the correct size.
@@ -478,17 +492,16 @@ namespace Microsoft { namespace MSR { namespace CNTK {
 
         virtual void /*ComputationNodeBase::*/Validate(bool isFinalValidationPass) override
         {
-            Base::Validate(isFinalValidationPass);
+            Base::Validate(isFinalValidationPass);
+            InferMBLayoutFromInputsForStandardCase();
 
             if (isFinalValidationPass && Input(1)->GetNumRows() % Input(0)->GetNumCols() != 0)
                 InvalidArgument("Mismatched dimension. Rows in input1 must be multiples of cols in input0.");
 
             int wordsInEachSample = Input(1)->GetNumRows() / Input(0)->GetNumCols();
 
-            SetDims(Input(0)->GetNumRows() * wordsInEachSample, Input(1)->GetNumCols());
-
-            InferMBLayoutFromInputsForStandardCase();
-            InferImageDimsFromInputs(); 
+            // TODO: Should this add a tensor dimension?
+            SetDims(TensorShape(Input(0)->GetNumRows() * wordsInEachSample), Input(1)->GetNumCols());
         }
 
         bool UnitTest()
@@ -499,19 +512,19 @@ namespace Microsoft { namespace MSR { namespace CNTK {
                 size_t nHidden = 3;
                 size_t nOutput = 3;
 
-                Input(0)->SetDims(nInput, nHidden);
+                Input(0)->SetDims1(nInput, nHidden);
                 Input(0)->UpdateFunctionValuesSize();
                 Input(0)->Value().SetValue(1.0);
                 Input(1)->Value().TransferFromDeviceToDevice(m_deviceId, CPUDEVICE, true);
                 Input(1)->Value().SwitchToMatrixType(DENSE, matrixFormatDense, false);
-                Input(1)->SetDims(nHidden, nOutput);
+                Input(1)->SetDims1(nHidden, nOutput);
                 Input(1)->UpdateFunctionValuesSize();
                 Input(1)->Value().SetValue(0.0);
                 Input(1)->Value().SetValue(0, 0, 1.0);
                 Input(1)->Value().SetValue(1, 1, 2.0);
                 Input(1)->Value().TransferFromDeviceToDevice(CPUDEVICE, m_deviceId, true);
                 Input(1)->Value().SwitchToMatrixType(SPARSE, matrixFormatSparseCSC, true);
-                SetDims(nInput, nOutput);
+                SetDims1(nInput, nOutput);
                 UpdateFunctionValuesSize();
 
                 ForwardProp(FrameRange(m_pMBLayout));
diff --git a/Source/ComputationNetworkLib/LinearAlgebraNodes.h b/Source/ComputationNetworkLib/LinearAlgebraNodes.h
index 82c02fc60..8a1dc932e 100644
--- a/Source/ComputationNetworkLib/LinearAlgebraNodes.h
+++ b/Source/ComputationNetworkLib/LinearAlgebraNodes.h
@@ -6,10 +6,10 @@
 #pragma once
 
 #include "Basics.h"
-#include "Matrix.h"
-#include "TensorView.h"
 #include "ComputationNode.h"
 #include "ConvolutionalNodes.h"
+#include "Matrix.h"
+#include "TensorView.h"
 
 #include <unordered_set>
 #include <map>
@@ -44,15 +44,16 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         virtual void /*ComputationNode::*/BackpropTo(const size_t inputIndex, const FrameRange & fr) override
         {
 #ifdef ENABLE_TENSORVIEW
+            static int c = 0; if (c++ == 0) { fprintf(stderr, "#PLUSBP#\n"); }
             size_t rank = DetermineElementwiseTensorRank();
-            auto gradient = GradientTensorFor(rank, fr);
+            auto gradient      =                    GradientTensorFor(rank, fr);
             auto inputGradient = Input(inputIndex)->GradientTensorFor(rank, fr.AllowBroadcast());
 
             // if reduction then mask the respective input(s) (zero out the gaps)
             if (Input(inputIndex)->GetNumCols() < GetNumCols())
                 MaskMissingGradientColumnsToZero(fr);
 
-            inputGradient.DoSumOf(0.0f, inputGradient, gradient, 1.0f);
+            inputGradient.AddCopyOf(gradient);
 #else
             Matrix<ElemType> gradientValues = GradientFor(fr);
             Matrix<ElemType> functionValues = ValueFor(fr);
@@ -122,12 +123,13 @@ namespace Microsoft { namespace MSR { namespace CNTK {
 
         virtual void /*ComputationNode::*/ForwardProp(const FrameRange & fr) override  
         {
-#if 0//def ENABLE_TENSORVIEW
+#ifdef ENABLE_TENSORVIEW
+            static int c = 0; if (c++ == 0) { fprintf(stderr, "#PLUS#\n"); }
             size_t rank = DetermineElementwiseTensorRank();
-            auto result = ValueTensorFor(rank, fr);
+            auto result =           ValueTensorFor(rank, fr);
             auto input0 = Input(0)->ValueTensorFor(rank, fr.AllowBroadcast());
             auto input1 = Input(1)->ValueTensorFor(rank, fr.AllowBroadcast());
-            result.DoSumOf(0.0f, input0, input1, 1.0f);
+            result.AssignSumOf(input0, input1);
 #else
             Matrix<ElemType> functionValues = ValueFor(fr);
             Matrix<ElemType> inputFunctionValues0 = Input(0)->ValueFor(fr.AllowBroadcast());
@@ -215,17 +217,14 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             ElemType sign = inputIndex == 0 ? 1.0f : -1.0f;
 #ifdef ENABLE_TENSORVIEW
             size_t rank = DetermineElementwiseTensorRank();
-            auto gradient = GradientTensorFor(rank, fr);
+            auto gradient      =                    GradientTensorFor(rank, fr);
             auto inputGradient = Input(inputIndex)->GradientTensorFor(rank, fr.AllowBroadcast());
 
             // if reduction then mask the respective input(s) (zero out the gaps)
             if (Input(inputIndex)->GetNumCols() < GetNumCols())
                 MaskMissingGradientColumnsToZero(fr);
 
-            if (sign > 0)
-                inputGradient.DoSumOf(0.0f, inputGradient, gradient, 1.0f);
-            else
-                inputGradient.DoDifferenceOf(0.0f, inputGradient, gradient, 1.0f);
+            inputGradient.AddCopyOf(gradient, sign);
 #else
             Matrix<ElemType> gradientValues = GradientFor(fr);
 
@@ -268,12 +267,12 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         virtual void /*ComputationNode::*/ForwardProp(const FrameRange & fr) override
         {
 #ifdef ENABLE_TENSORVIEW
-            static int c = 0; if (c++ == 0) { fprintf(stderr,"#MINUS#"); }
+            static int c = 0; if (c++ == 0) { fprintf(stderr,"#MINUS#\n"); }
             size_t rank = DetermineElementwiseTensorRank();
-            auto result = ValueTensorFor(rank, fr);
+            auto result =           ValueTensorFor(rank, fr);
             auto input0 = Input(0)->ValueTensorFor(rank, fr.AllowBroadcast());
             auto input1 = Input(1)->ValueTensorFor(rank, fr.AllowBroadcast());
-            result.DoDifferenceOf(0.0f, input0, input1, 1.0f);
+            result.AssignDifferenceOf(input0, input1);
 #else
             Matrix<ElemType> functionValues = ValueFor(fr);
             Matrix<ElemType> inputFunctionValues0 = Input(0)->ValueFor(fr.AllowBroadcast());
@@ -306,73 +305,6 @@ namespace Microsoft { namespace MSR { namespace CNTK {
     template class MinusNode<float>; 
     template class MinusNode<double>;
 
-#ifndef ENABLE_TENSORVIEW
-    // -----------------------------------------------------------------------
-    // ScaleNode (scalar scaling factor, matrix)
-    //
-    // Identical to ElementTimesnNode with tensor lib (broadcasting). Can be removed.
-    // -----------------------------------------------------------------------
-
-    template<class ElemType>
-    class ScaleNode : public ComputationNode<ElemType>, public NumInputs<2>
-    {
-        typedef ComputationNode<ElemType> Base; UsingComputationNodeMembersBoilerplate;
-        static const std::wstring TypeName() { return L"Scale"; }
-    public:
-        DeclareConstructorFromConfigWithNumInputs(ScaleNode);
-        ScaleNode(DEVICEID_TYPE deviceId, const wstring & name) :
-            Base(deviceId, name)
-        { }
-
-        virtual void /*ComputationNode::*/BackpropTo(const size_t inputIndex, const FrameRange & fr) override
-        {
-            if (inputIndex == 0)        // left derivative
-            {
-                // this is a reduction over frames, so we must mask gaps to zero
-                Input(0)->Gradient() += Matrix<ElemType>::InnerProductOfMatrices(MaskedGradientFor(fr), Input(1)->MaskedValueFor(fr)); // element-wise product summed up over all
-            }
-            else if (inputIndex == 1)   // right derivative
-            {
-                Matrix<ElemType> sliceInput1Grad = Input(1)->GradientFor(fr);
-                Matrix<ElemType>::Multiply1x1AndWeightedAdd(+1.0f, Input(0)->Value()/*1x1*/, GradientFor(fr), 1.0f, sliceInput1Grad);
-            }
-        }
-
-        virtual bool OutputUsedInComputingInputNodesGradients() const override
-        {
-            // The ScaleNode does not require its output value for computing
-            // the gradients of its input nodes
-            return false;
-        }
-
-        virtual void /*ComputationNode::*/ForwardProp(const FrameRange & fr) override  
-        {
-            ValueFor(fr).Assign1x1ProductOf(Input(0)->Value()/*1x1*/, Input(1)->ValueFor(fr));
-        }
-
-        virtual void /*ComputationNodeBase::*/Validate(bool isFinalValidationPass) override
-        {
-            Base::Validate(isFinalValidationPass);
-
-            // left Node must be a scalar
-            if (isFinalValidationPass && (Input(0)->GetNumRows() != 1 || Input(0)->GetNumCols() != 1))
-                RuntimeError("The left value of ScaleNode must be a scalar value.");
-
-            SetDims(Input(1));
-            InferMBLayoutFromInputsForStandardCase();
-            InferImageDimsFromInputs(); 
-        }
-
-        virtual void InferImageDimsFromInputs()
-        {
-            InferImageDimsFromInput(1); 
-        }
-    };
-
-    template class ScaleNode<float>; 
-    template class ScaleNode<double>;
-#endif
-
     // -----------------------------------------------------------------------
     // NegateNode (input)
     // computes the negative of its input
@@ -494,6 +426,9 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         virtual void /*ComputationNodeBase::*/Validate(bool isFinalValidationPass) override
         {
             Base::Validate(isFinalValidationPass);
+            if (isFinalValidationPass && Input(0)->HasMBLayout())
+                InvalidArgument("%ls %ls operation requires the first factor to not be minibatch data (must not have an MBLayout).", NodeName().c_str(), OperationName().c_str());
+            InferMBLayoutFromInputsForStandardCase();
 
             //support automatic dimension inference for learnable parameters
             size_t rows0 = Input(0)->GetNumRows(), cols0 = Input(0)->GetNumCols();
@@ -515,20 +450,10 @@ namespace Microsoft { namespace MSR { namespace CNTK {
 
             if (isFinalValidationPass && Input(1)->GetNumRows() != Input(0)->GetNumCols())
                 LogicError("The inner matrix dimension in the %ls %ls operation does not match (%d vs. %d).", NodeName().c_str(), OperationName().c_str(), (int)Input(1)->GetNumRows(), (int)Input(0)->GetNumCols());
-            SetDims(rows0, cols1);
-
-            if (isFinalValidationPass && Input(0)->HasMBLayout())
-                InvalidArgument("%ls %ls operation requires the first factor to not be minibatch data (must not have an MBLayout).", NodeName().c_str(), OperationName().c_str());
-            InferMBLayoutFromInputsForStandardCase();
-            InferImageDimsFromInputs(); 
-        }
-
-        virtual void InferImageDimsFromInputs()  
-        {
-            InferImageDimsFromInput(1, false); // the second one is the input since it's columnwise
 
+            // TODO: With tensors, inner dimensions must match.
             // after multiplication the structure is lost
-            m_sampleLayout = TensorShape(Input(0)->GetNumRows());
+            SetDims(TensorShape(rows0), cols1);
         }
 
         virtual void AllocateGradientMatricesForInputs(MatrixPool& matrixPool) override
@@ -636,6 +561,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         virtual void /*ComputationNodeBase::*/Validate(bool isFinalValidationPass) override
         {
             Base::Validate(isFinalValidationPass);
+            InferMBLayoutFromInputsForStandardCase();
 
             //support automatic dimension inference for learnable parameters
             size_t rows0 = Input(0)->GetNumRows(), cols0 = Input(0)->GetNumCols();
@@ -654,17 +580,9 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             if (isFinalValidationPass && Input(1)->GetNumRows() != Input(0)->GetNumRows())
                 LogicError("The Matrix dimension in the TransposeTimes operation does not match.");
 
-            SetDims(cols0, cols1);
-            InferMBLayoutFromInputsForStandardCase();   // TODO: what does the MBLayout mean in the context of TransposeTimes? Can the left arg have an MBLayout?
-            InferImageDimsFromInputs();
-        }
-
-        virtual void InferImageDimsFromInputs()
-        {
-            InferImageDimsFromInput(1, false); //the second one is the input since it's column wize
-
+            // TODO: What should the tensor story be?
             //after multiplication the structure is lost
-            m_sampleLayout = TensorShape(Input(0)->GetNumRows());
+            SetDims(TensorShape(cols0), cols1);
         }
     };
 
@@ -692,20 +610,17 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         {
 #ifdef ENABLE_TENSORVIEW
             size_t rank = DetermineElementwiseTensorRank();
-            // depending on inputIndex, inputs swap their meaning
-            // inputIndex == 0 (left) -  inputGradientValues[0], inputFunctionValues[1]
-            // inputIndex == 1 (right) - inputGradientValues[1], inputFunctionValues[0]
-            auto gradient = GradientTensorFor(rank, fr);
+            auto gradient        =                     GradientTensorFor(rank, fr);
             auto inputGradient   =  Input(inputIndex)->GradientTensorFor(rank, fr.AllowBroadcast());
             auto otherInputValue = Input(1 - inputIndex)->ValueTensorFor(rank, fr.AllowBroadcast());
 
             // if reduction then mask the respective input(s) (zero out the gaps)
             if (Input(inputIndex)->GetNumCols() < GetNumCols())
                 MaskMissingGradientColumnsToZero(fr);
-            if (Input(1 - inputIndex)->GetNumCols() < GetNumCols())
+            if (Input(inputIndex)->GetNumCols() < Input(1 - inputIndex)->GetNumCols())
                 Input(1 - inputIndex)->MaskMissingValueColumnsToZero(fr);
 
-            inputGradient.DoElementwiseProductOf(1.0f/*add to*/, gradient, otherInputValue, 1.0f);
+            inputGradient.AddElementwiseProductOf(gradient, otherInputValue);
 #else
             Matrix<ElemType> sliceInput0Grad = Input(inputIndex)->GradientFor(fr);
             Matrix<ElemType> sliceOutputGrad = GradientFor(fr);
@@ -723,12 +638,12 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         virtual void /*ComputationNode::*/ForwardProp(const FrameRange & fr) override  
         {
 #ifdef ENABLE_TENSORVIEW
-            static int c = 0; if (c++ == 0) { fprintf(stderr,"#ETIMES#"); }
+            static int c = 0; if (c++ == 0) { fprintf(stderr,"#ETIMES#\n"); }
             size_t rank = DetermineElementwiseTensorRank();
-            auto result = ValueTensorFor(rank, fr);
+            auto result =           ValueTensorFor(rank, fr);
             auto input0 = Input(0)->ValueTensorFor(rank, fr.AllowBroadcast());
             auto input1 = Input(1)->ValueTensorFor(rank, fr.AllowBroadcast());
-            result.DoElementwiseProductOf(0.0f, input0, input1, 1.0f);
+            result.AssignElementwiseProductOf(input0, input1);
 #else
             Matrix<ElemType> sliceInput0Value = Input(0)->ValueFor(fr);
             Matrix<ElemType> sliceInput1Value = Input(1)->ValueFor(fr);
@@ -743,317 +658,6 @@ namespace Microsoft { namespace MSR { namespace CNTK {
     template class ElementTimesNode<float>; 
     template class ElementTimesNode<double>;
 
-#ifndef ENABLE_TENSORVIEW
-    // -----------------------------------------------------------------------
-    // RowElementTimesNode (left, right)  --TODO: what are left and right?
-    //
-    // TODO: This is subsumed by ElementTimes with tensor lib.
-    // -----------------------------------------------------------------------
-
-    template<class ElemType>
-    class RowElementTimesNode : public ComputationNode<ElemType>, public NumInputs<2>
-    {
-        typedef ComputationNode<ElemType> Base; UsingComputationNodeMembersBoilerplate;
-        static const std::wstring TypeName() { return L"RowElementTimes"; }
-    public:
-        DeclareConstructorFromConfigWithNumInputs(RowElementTimesNode);
-        RowElementTimesNode(DEVICEID_TYPE deviceId, const wstring & name) :
-            Base(deviceId, name)
-        { }
-
-        void BackpropToMap(const size_t inputIndex)
-        {
-            if (inputIndex > 1)
-                InvalidArgument("RowElementTimes operation only takes two inputs.");
-
-            if (inputIndex == 0)
-            {
-                BackpropToLeftS(Input(1)->Value(), Input(0)->Gradient(), Gradient(), *m_tempMatrix);
-            }
-            else
-            {
-                BackpropToRightS(Input(0)->Value(), Input(1)->Gradient(), Gradient(), *m_tempMatrix);
-            }
-        }
-
-        virtual void /*ComputationNode::*/BackpropTo(const size_t inputIndex, const FrameRange & fr) override
-        {
-            if (fr.IsAllFrames()) { BackpropToMap(inputIndex); return; } // TODO: remove these one by one
-            Matrix<ElemType> sliceInput0Grad = Input(inputIndex)->GradientFor(fr);
-            Matrix<ElemType> sliceOutputGrad = GradientFor(fr);
-
-            Matrix<ElemType> sliceInput1Value = Input(1 - inputIndex)->ValueFor(fr);
-
-            if (inputIndex == 0)
-            {
-                BackpropToLeftS(sliceInput1Value, sliceInput0Grad, sliceOutputGrad, *m_tempMatrix);
-            }
-            else
-            {
-                BackpropToRightS(sliceInput1Value, sliceInput0Grad, sliceOutputGrad, *m_tempMatrix);
-            }
-        }
-
-        virtual bool OutputUsedInComputingInputNodesGradients() const override
-        {
-            // The RowElementTimesNode does not require its output value for computing
-            // the gradients of its input nodes
-            return false;
-        }
-
-        //left (input 0) is a matrix
-        /*TODO: merge with call site*/void BackpropToLeftS(Matrix<ElemType>& input1FunctionValues,
-            Matrix<ElemType>& input0GradientValues, 
-            const Matrix<ElemType>& gradientValues, 
-            Matrix<ElemType>& tempMatrix)
-        {
-            tempMatrix.SetValue(gradientValues);
-            tempMatrix.RowElementMultiplyWith(input1FunctionValues);
-            input0GradientValues += tempMatrix;
-
-#if NANCHECK
-            input0GradientValues.HasNan("RowElementTimes");
-#endif
-        }
-
-        //right (input 1) is a row vector
-        /*TODO: merge with call site*/void BackpropToRightS(Matrix<ElemType>& input0FunctionValues, 
-            Matrix<ElemType>& input1GradientValues, 
-            const Matrix<ElemType>& gradientValues, 
-            Matrix<ElemType>& tempMatrix)
-        {
-            tempMatrix.AssignInnerProductOf(gradientValues, input0FunctionValues, true);
-            input1GradientValues += tempMatrix;
-
-#if NANCHECK
-            input1GradientValues.HasNan("RowElementTimes");
-#endif
-        }
-        void ForwardPropMap()    // TODO: This is a stop-gap; in most cases, we should just be able to delete this (but need to review one by one)
-        {
-            ForwardPropS(Value(), Input(0)->Value(), Input(1)->Value());
-        }
-
-        virtual void /*ComputationNode::*/ForwardProp(const FrameRange & fr) override
-        {
-            //if (fr.IsAllFrames()) { ForwardPropMap(); return; }
-            Matrix<ElemType> sliceInput0Value = Input(0)->ValueFor(fr);
-            Matrix<ElemType> sliceInput1Value = Input(1)->ValueFor(fr);
-            Matrix<ElemType> sliceOutputValue = ValueFor(fr);
-
-            ForwardPropS(sliceOutputValue, sliceInput0Value, sliceInput1Value);
-        }
-
-        /*TODO: merge with call site*/void ForwardPropS(Matrix<ElemType>& functionValues, const Matrix<ElemType>& input0, const Matrix<ElemType>& input1)
-        {
-            functionValues.SetValue(input0);
-            functionValues.RowElementMultiplyWith(input1);
-
-#if NANCHECK
-            functionValues.HasNan("RowElementTimes");
-#endif
-        }
-
-        virtual void /*ComputationNodeBase::*/Validate(bool isFinalValidationPass) override
-        {
-            Base::Validate(isFinalValidationPass);
-
-            size_t rows0 = Input(0)->GetNumRows(), cols0 = Input(0)->GetNumCols();
-            size_t rows1 = Input(1)->GetNumRows(), cols1 = Input(1)->GetNumCols(); rows0;
-            if (isFinalValidationPass && cols0 != cols1 || rows1 != 1)
-                LogicError("RowElementTimes: Either the second operand is not a row vector or the number of columns of operands does not match.");
-
-            SetDims(Input(0));
-            InferMBLayoutFromInputsForStandardCase();
-            InferImageDimsFromInputs();
-        }
-
-        virtual void InferImageDimsFromInputs()
-        {
-            // input 0 is the matrix and input 1 is a row vector
-            InferImageDimsFromInput(0);
-        }
-
-        //request matrices that are needed for gradient computation
-        virtual void RequestMatricesBeforeBackprop(MatrixPool& matrixPool)
-        {
-            Base::RequestMatricesBeforeBackprop(matrixPool);
-            RequestMatrixFromPool(m_tempMatrix, matrixPool);
-        }
-
-        //release gradient and temp matrices that no longer needed after all the children's gradients are computed.
-        virtual void ReleaseMatricesAfterBackprop(MatrixPool& matrixPool)
-        {
-            Base::ReleaseMatricesAfterBackprop(matrixPool);
-            ReleaseMatrixToPool(m_tempMatrix, matrixPool);
-        }
-
-    private:
-        shared_ptr<Matrix<ElemType>> m_tempMatrix;
-    };
-
-    template class RowElementTimesNode<float>;
-    template class RowElementTimesNode<double>;
-
-    // -----------------------------------------------------------------------
-    // ColumnElementTimesNode (left, right)  --TODO: what are left and right?
-    //
-    // TODO: This is subsumed by ElementTimes with tensor lib.
-    // -----------------------------------------------------------------------
-
-    template<class ElemType>
-    class ColumnElementTimesNode : public ComputationNode<ElemType>, public NumInputs<2>
-    {
-        typedef ComputationNode<ElemType> Base; UsingComputationNodeMembersBoilerplate;
-        static const std::wstring TypeName() { return L"ColumnElementTimes"; }
-    public:
-        DeclareConstructorFromConfigWithNumInputs(ColumnElementTimesNode);
-        ColumnElementTimesNode(DEVICEID_TYPE deviceId, const wstring & name) :
-            Base(deviceId, name)
-        { }
-
-        void BackpropToMap(const size_t inputIndex)
-        {
-            if (inputIndex > 1)
-                InvalidArgument("ColumnElementTimes operation only takes two inputs.");
-
-            if (inputIndex == 0)
-            {
-                BackpropToLeftS(Input(1)->Value(), Input(0)->Gradient(), Gradient(), *m_tempMatrix);
-            }
-            else
-            {
-                BackpropToRightS(Input(0)->Value(), Input(1)->Gradient(), Gradient(), *m_tempMatrix);
-            }
-        }
-
-        virtual void /*ComputationNode::*/BackpropTo(const size_t inputIndex, const FrameRange & fr) override
-        {
-            if (fr.IsAllFrames()) { BackpropToMap(inputIndex); return; } // TODO: remove these one by one
-            Matrix<ElemType> sliceOutputGrad = GradientFor(fr);
-
-            if (inputIndex == 0)
-            {
-                Matrix<ElemType> sliceInput0Grad = Input(0)->GradientFor(fr);
-
-                BackpropToLeftS(Input(1)->Value(), sliceInput0Grad, sliceOutputGrad, *m_tempMatrix);
-            }
-            else
-            {
-                Matrix<ElemType> sliceInput0Value = Input(0)->ValueFor(fr);
-                BackpropToRightS(sliceInput0Value, Input(1)->Gradient(), sliceOutputGrad, *m_tempMatrix);
-            }
-        }
-
-        virtual bool OutputUsedInComputingInputNodesGradients() const override
-        {
-            // The ColumnElementTimesNode does not require its output value for computing
-            // the gradients of its input nodes
-            return false;
-        }
-
-        //left (input 0) is a matrix
-        /*TODO: merge with call site*/void BackpropToLeftS(Matrix<ElemType>& input1FunctionValues,
-            Matrix<ElemType>& input0GradientValues,
-            const Matrix<ElemType>& gradientValues,
-            Matrix<ElemType>& tempMatrix)
-        {
-            tempMatrix.SetValue(gradientValues);
-            tempMatrix.ColumnElementMultiplyWith(input1FunctionValues);
-            input0GradientValues += tempMatrix;
-
-#if NANCHECK
-            input0GradientValues.HasNan("ColumnElementTimes");
-#endif
-        }
-
-        //right (input 1) is a col vector
-        /*TODO: merge with call site*/void BackpropToRightS(Matrix<ElemType>& input0FunctionValues,
-            Matrix<ElemType>& input1GradientValues,
-            const Matrix<ElemType>& gradientValues,
-            Matrix<ElemType>& tempMatrix)
-        {
-            tempMatrix.AssignInnerProductOf(gradientValues, input0FunctionValues, false);
-            input1GradientValues += tempMatrix;
-
-#if NANCHECK
-            input1GradientValues.HasNan("ColumnElementTimes");
-#endif
-        }
-        void ForwardPropMap()    // TODO: This is a stop-gap; in most cases, we should just be able to delete this (but need to review one by one)
-        {
-            ForwardPropS(Value(), Input(0)->Value(), Input(1)->Value());
-        }
-
-        virtual void /*ComputationNode::*/ForwardProp(const FrameRange & fr) override
-        {
-            //if (fr.IsAllFrames()) { ForwardPropMap(); return; }
-            Matrix<ElemType> sliceInput0Value = Input(0)->ValueFor(fr);
-            Matrix<ElemType> sliceOutputValue = ValueFor(fr);
-
-            ForwardPropS(sliceOutputValue, sliceInput0Value, Input(1)->Value());
-        }
-
-        /*TODO: merge with call site*/void ForwardPropS(Matrix<ElemType>& functionValues, const Matrix<ElemType>& input0, const Matrix<ElemType>& input1)
-        {
-            functionValues.SetValue(input0);
-            functionValues.ColumnElementMultiplyWith(input1);
-
-#if NANCHECK
-            functionValues.HasNan("ColumnElementTimes");
-#endif
-        }
-
-        virtual void /*ComputationNodeBase::*/Validate(bool isFinalValidationPass) override
-        {
-            Base::Validate(isFinalValidationPass);
-
-            //derive number of rows if possible
-            for (size_t index = 0; index < 2; index++)
-            {
-                size_t rows = Input(index)->GetNumRows() == 0 ? Input(1 - index)->GetNumRows() : Input(index)->GetNumRows();
-                size_t cols = Input(index)->GetNumCols() == 0 ? Input(1 - index)->GetNumCols() : Input(index)->GetNumCols();
-                ValidateInferInputDims(index, rows, cols);
-            }
-
-            size_t rows0 = Input(0)->GetNumRows(), cols0 = Input(0)->GetNumCols();
-            size_t rows1 = Input(1)->GetNumRows(), cols1 = Input(1)->GetNumCols(); cols0;
-            if (isFinalValidationPass && (rows0 != rows1 || cols1 != 1))
-                LogicError("ColumnElementTimes: Either the second operand is not a column vector or the number of rows of operands does not match.");
-
-            SetDims(Input(0));
-            InferMBLayoutFromInputsForStandardCase();
-            InferImageDimsFromInputs();
-        }
-
-        virtual void InferImageDimsFromInputs()
-        {
-            // input 0 is a matrix and input 1 is a column vector
-            InferImageDimsFromInput(0);
-        }
-
-        //request matrices that are needed for gradient computation
-        virtual void RequestMatricesBeforeBackprop(MatrixPool& matrixPool)
-        {
-            Base::RequestMatricesBeforeBackprop(matrixPool);
-            RequestMatrixFromPool(m_tempMatrix, matrixPool);
-        }
-
-        //release gradient and temp matrices that no longer needed after all the children's gradients are computed.
-        virtual void ReleaseMatricesAfterBackprop(MatrixPool& matrixPool)
-        {
-            Base::ReleaseMatricesAfterBackprop(matrixPool);
-            ReleaseMatrixToPool(m_tempMatrix, matrixPool);
-        }
-
-    private:
-        shared_ptr<Matrix<ElemType>> m_tempMatrix;
-    };
-
-    template class ColumnElementTimesNode<float>;
-    template class ColumnElementTimesNode<double>;
-#endif
-
     // -----------------------------------------------------------------------
     // DiagTimesNode (vector representing the diagonal of a square matrix, data)
     // -----------------------------------------------------------------------
@@ -1107,6 +711,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         virtual void /*ComputationNodeBase::*/Validate(bool isFinalValidationPass) override
         {
             Base::Validate(isFinalValidationPass);
+            InferMBLayoutFromInputsForStandardCase();
 
             //if dimension not specified we assume two operands' dimensions should match
             if (Input(0)->GetNumRows() == 0 && Input(1)->GetNumRows() != 0)
@@ -1124,14 +729,8 @@ namespace Microsoft { namespace MSR { namespace CNTK {
                     LogicError("The first matrix should be a vector representing the diagonal of a square matrix in the DiagTimes operation.");
             }
 
-            SetDims(Input(0)->GetNumRows(), Input(1)->GetNumCols());
-            InferMBLayoutFromInputsForStandardCase();
-            InferImageDimsFromInputs(); 
-        }
-
-        virtual void InferImageDimsFromInputs() //this is element wise scaling, so based on child 1
-        {
-            InferImageDimsFromInput(1);
+            // TODO: Should Input(0) have a specific tensor structure? E.g. match Input(1)?
+            SetDims(Input(1));
         }
 
         virtual void CopyTo(ComputationNodeBasePtr nodeP, const std::wstring& newName, const CopyNodeFlags flags) const override
@@ -1211,17 +810,8 @@ private:
         virtual void /*ComputationNodeBase::*/Validate(bool isFinalValidationPass) override
         {
             Base::Validate(isFinalValidationPass);
-
-            SetDims(1, 1);
             m_pMBLayout = nullptr;    // this node does not hold mini-batch data
-            InferImageDimsFromInputs(); 
-        }
-
-        virtual void InferImageDimsFromInputs()
-        {
-            InferImageDimsFromInput(0, false);
-
-            m_sampleLayout = TensorShape();
+            SetDims(TensorShape(1), 1);
         }
     };
 
@@ -1232,6 +822,7 @@ private:
     // SumColumnElementsNode (input)
     // sums up each column of the input
     // TODO: This should be deprecated, in favor of a reduce node.
+    // TODO: Implement this with the tensor library.
     // -----------------------------------------------------------------------
 
     template<class ElemType>
@@ -1280,17 +871,9 @@ private:
         virtual void /*ComputationNodeBase::*/Validate(bool isFinalValidationPass) override
         {
             Base::Validate(isFinalValidationPass);
-
-            SetDims(1, Input(0)->GetNumCols());
             InferMBLayoutFromInputsForStandardCase();
-            InferImageDimsFromInputs();
-        }
 
-        virtual void InferImageDimsFromInputs()
-        {
-            InferImageDimsFromInput(0, false);
-
-            m_sampleLayout = TensorShape();
+            SetDims(TensorShape(1), Input(0)->GetNumCols());    // each column is reduced to a scalar
         }
     };
 
@@ -1366,22 +949,14 @@ private:
         virtual void /*ComputationNodeBase::*/Validate(bool isFinalValidationPass) override
         {
             Base::Validate(isFinalValidationPass);
-
-            size_t rows0 = Input(0)->GetNumRows(), cols0 = Input(0)->GetNumCols();
-
-            SetDims(cols0, rows0);
             if (Input(0)->HasMBLayout())
                 InvalidArgument("%ls %ls operation cannot operate on minibatch data (which have a layout)", NodeName().c_str(), OperationName().c_str());
             m_pMBLayout = nullptr;    // this node does not hold mini-batch data
-            InferImageDimsFromInputs();
-        }
 
-        virtual void InferImageDimsFromInputs()
-        {
-            InferImageDimsFromInput(0, false); // the second one is the input since it's column wize
-
-            // after transposition, the structure is lost
-            m_sampleLayout = TensorShape(Input(0)->GetNumCols());
+            if (Input(0)->HasSampleLayout())    // must be a plain matrix without tensor substructure
+                InvalidArgument("%ls %ls operation cannot operate on input tensors", NodeName().c_str(), OperationName().c_str());
+            size_t rows0 = Input(0)->GetNumRows(), cols0 = Input(0)->GetNumCols();
+            SetDims(TensorShape(cols0), rows0);
         }
     };
 
@@ -1412,16 +987,6 @@ private:
             }
         }
 
-        virtual void InferImageDimsFromInputs()
-        {
-            InferImageDimsFromInput(0, true);
-
-            m_sampleLayout = TensorShape(m_sampleLayout.GetHeight());
-
-            if (m_inputSampleLayout.GetWidth() * m_inputSampleLayout.GetNumChannels() != 1)
-                fprintf(stderr, "WARNING: Diagonal operation cannot inherit image size information from its child. Image size info is lost.\n");
-        }
-
         virtual void PrintSelfBeforeValidation(bool allowNulls = false) const
         {
             fprintf(stderr, "\nValidating --> %ls = %ls", NodeName().c_str(), OperationName().c_str());
@@ -1464,8 +1029,10 @@ private:
             if (isFinalValidationPass && dim != Input(0)->GetNumRows())
                 InvalidArgument("%ls %ls operation requires a square matrix as its input.", NodeName().c_str(), OperationName().c_str());
 
-            SetDims(1, dim);
-            InferImageDimsFromInputs();
+            if (Input(0)->HasSampleLayout())
+                fprintf(stderr, "WARNING: Diagonal operation cannot inherit image size information from its child. Image size info is lost.\n");
+
+            SetDims(TensorShape(1), dim);
         }
 
         virtual void /*ComputationNodeNonLooping::*/ForwardPropNonLooping() override
@@ -1572,6 +1139,8 @@ private:
         virtual void /*ComputationNodeBase::*/Validate(bool isFinalValidationPass) override
         {
             Base::Validate(isFinalValidationPass);
+            InferMBLayoutFromInputsForStandardCase();
+
             ValidateInferBinaryInputDims();
 
 #if 0
@@ -1579,16 +1148,9 @@ private:
                 LogicError("%ls %ls operation: The input dimensions do not match.", NodeName().c_str(), OperationName().c_str());
 #endif
 
-            SetDims(1, Input(1)->GetNumCols());
-            InferMBLayoutFromInputsForStandardCase();
-            InferImageDimsFromInputs(); 
-        }
-
-        virtual void InferImageDimsFromInputs() 
-        {
-            InferImageDimsFromInput(0, false);
-
-            m_sampleLayout = TensorShape();
+            // TODO: We could do something more interesting with tensors.
+            //       E.g. apply a cos distance of a whole set of data with a single reference.
+            SetDims(TensorShape(1), Input(1)->GetNumCols());
         }
 
         virtual void CopyTo(ComputationNodeBasePtr nodeP, const std::wstring& newName, const CopyNodeFlags flags) const override
@@ -1695,7 +1257,7 @@ private:
         {
             Base::Validate(isFinalValidationPass);
             InferMBLayoutFromInputsForStandardCase();
-            InferImageDimsFromInputs();
+
 
             //support automatic dimension inference for learnable parameters
             size_t rows0 = Input(0)->GetNumRows(), cols0 = Input(0)->GetNumCols();
@@ -1710,17 +1272,9 @@ private:
             if (isFinalValidationPass && !HasMBLayout() && Input(1)->GetNumCols() != Input(0)->GetNumCols())
                 LogicError("The Matrices should have same number of columns.");
 
-            SetDims(rows0 * rows1, Input(0)->GetNumCols());
-        }
-
-        virtual void InferImageDimsFromInputs()  
-        {
-            // since it's symmetrical any one of the input may be the true input. 
-            // since we dont' use the input image size info in the operation, the input part doesn't matter.
-            InferImageDimsFromInput(1, false); 
-
             // after KhatriRaoProduct the structure is lost
-            m_sampleLayout = TensorShape(m_value->GetNumRows());
+            // TODO: ^^ Is that correctWhat is the correct sample layout?
+            SetDims(TensorShape(rows0 * rows1), Input(0)->GetNumCols());
         }
     };
 
@@ -1911,9 +1465,10 @@ private:
         virtual void /*ComputationNodeBase::*/Validate(bool isFinalValidationPass) override
         {
             Base::Validate(isFinalValidationPass);
+            InferMBLayoutFromInputsForStandardCase();
 
             //if dimension is missing make the two operatants to have same size
-            // TODO: use a for loop??
+            // TODO: use a for loop?? Or don't we have a function for this?
             size_t index = 0;
             {
                 size_t rows = Input(index)->GetNumRows() == 0 ? Input(1 - index)->GetNumRows() : Input(index)->GetNumRows();
@@ -1938,16 +1493,8 @@ private:
             // input(2) is shift, input(3) is the #neg
             size_t negNumber = (size_t)Input(3)->Get00Element();
 
-            SetDims(negNumber + 1, Input(1)->GetNumCols());
-            InferMBLayoutFromInputsForStandardCase();
-            InferImageDimsFromInputs();
-        }
-
-        virtual void InferImageDimsFromInputs()
-        {
-            InferImageDimsFromInput(0, false);
-
-            m_sampleLayout = TensorShape();
+            // TODO: This calls for a tensor representation!
+            SetDims(TensorShape(negNumber + 1), Input(1)->GetNumCols());
         }
 
         virtual void CopyTo(ComputationNodeBasePtr nodeP, const std::wstring& newName, const CopyNodeFlags flags) const override
diff --git a/Source/ComputationNetworkLib/NonlinearityNodes.h b/Source/ComputationNetworkLib/NonlinearityNodes.h
index dd1ce0aea..037c0f911 100644
--- a/Source/ComputationNetworkLib/NonlinearityNodes.h
+++ b/Source/ComputationNetworkLib/NonlinearityNodes.h
@@ -5,6 +5,11 @@
 //
 #pragma once
 
+#include "Basics.h"
+#include "ComputationNode.h"
+#include "Matrix.h"
+#include "TensorView.h"
+
 #include <unordered_set>
 #include <map>
 #include <string>
@@ -18,27 +23,110 @@
 #include <sstream>
 #include <iostream>
 
-#include "Basics.h"
-#include "Matrix.h"
-#include "ComputationNode.h"
-
 namespace Microsoft { namespace MSR { namespace CNTK {
 
+#ifdef ENABLE_TENSORVIEW
+
     // -----------------------------------------------------------------------
-    // NonlinearityNodeBase (input) -- abstract base class that holds what's shared
-    // between non-linearity nodes like Sigmoid
+    // UnaryElementWiseWithOpCodeNodeBase (input) -- base for elementwise unary op
+    // where forward // and backward are single ElementWiseOperator opcodes and
+    // only inputs (but not // function values) are used.
+    // -----------------------------------------------------------------------
+
+    template<class ElemType, ElementWiseOperator opForward, ElementWiseOperator opBackward>
+    class UnaryElementWiseWithOpCodeNodeBase : public ComputationNode<ElemType>, public NumInputs<1>
+    {
+        typedef ComputationNode<ElemType> Base; UsingComputationNodeMembers;
+    public:
+        UnaryElementWiseWithOpCodeNodeBase(DEVICEID_TYPE deviceId, const wstring & name) :
+            Base(deviceId, name)
+        { }
+
+        virtual void /*ComputationNode::*/ForwardProp(const FrameRange & fr) override
+        {
+            static int c = 0; if (c++ == 0) { fprintf(stderr, "#NLop%d#\n", (int)opForward); }
+
+            size_t rank = DetermineElementwiseTensorRank();
+            auto result =           ValueTensorFor(rank, fr);
+            auto input  = Input(0)->ValueTensorFor(rank, fr);
+            result.DoUnaryOpOf(0, input, 1, opForward);
+        }
+
+        virtual void /*ComputationNode::*/BackpropTo(const size_t inputIndex, const FrameRange & fr) override
+        {
+            assert(inputIndex == 0); inputIndex;
+
+            // get the args
+            size_t rank = DetermineElementwiseTensorRank();
+            auto sliceOutputGrad  =           GradientTensorFor(rank, fr);  // propagate from this one...
+            auto sliceInputGrad   = Input(0)->GradientTensorFor(rank, fr);  // ...to this one
+            auto sliceInputValue  = Input(0)->ValueTensorFor(rank, fr);
+
+            // do the actual operation
+            sliceInputGrad.DoBinaryOpOf(1, sliceOutputGrad, sliceInputValue, 1, opBackward);
+        }
+
+        virtual void /*ComputationNodeBase::*/Validate(bool isFinalValidationPass) override
+        {
+            ValidateUnaryMap(isFinalValidationPass);
+        }
+
+        // We don't need our output values in backprop.
+        virtual bool OutputUsedInComputingInputNodesGradients() const override { return false; }
+    };
+
+#define UnaryElementWiseWithOpCodeNodeBaseMembers UsingComputationNodeMembersBoilerplate;
+
+    // -----------------------------------------------------------------------
+    // SigmoidNode (input)
+    // TanhNode (input)
+    // RectifiedLinearNode (input)
+    // LogNode (input)
+    // ExpNode (input)
+    // CosineNode (input)
+    // These are all implemented by single-opcode functions and can thus be declared by a macro.
+    // -----------------------------------------------------------------------
+
+#pragma push_macro("DeclareUnaryTensorOp")
+#define DeclareUnaryElementWiseWithOpCodeNode(Name, Forward, Backward) \
+    template<class ElemType>                                                                             \
+    class Name ## Node : public UnaryElementWiseWithOpCodeNodeBase<ElemType, op ## Forward, op ## Backward> \
+    { \
+        typedef UnaryElementWiseWithOpCodeNodeBase<ElemType, op ## Forward, op ## Backward> Base; UnaryElementWiseWithOpCodeNodeBaseMembers; \
+        static const std::wstring TypeName() { return L ## #Name; } \
+    public: \
+        DeclareConstructorFromConfigWithNumInputs(Name ## Node); \
+        Name ## Node(DEVICEID_TYPE deviceId, const wstring & Name) : \
+            Base(deviceId, Name) \
+        { } \
+    }
+
+    //                                    Name             Forward and      Backward opcodes
+    DeclareUnaryElementWiseWithOpCodeNode(Sigmoid,         Sigmoid,         ElementwiseProductWithSigmoidDerivative);
+    DeclareUnaryElementWiseWithOpCodeNode(Tanh,            Tanh,            ElementwiseProductWithTanhDerivative);
+    DeclareUnaryElementWiseWithOpCodeNode(RectifiedLinear, LinearRectifier, ElementwiseProductWithLinearRectifierDerivative);
+    DeclareUnaryElementWiseWithOpCodeNode(Log,             Log,             ElementwiseQuotient);
+    DeclareUnaryElementWiseWithOpCodeNode(Exp,             Exp,             ElementwiseProductWithExp);
+    DeclareUnaryElementWiseWithOpCodeNode(Cosine,          Cosine,          ElementwiseProductWithCosDerivative);
+
+#pragma pop_macro("DeclareUnaryTensorOp")
+#endif
+
+    // -----------------------------------------------------------------------
+    // SoftmaxNodeBase (input) -- shared base of Softmax and LogSoftmax
     // -----------------------------------------------------------------------
 
     // shared base for all element-wise non-linearities
     // What this adds over a ComputationNode<ElemType> is a member m_gradientTemp for temp use by derived classes.
+    // TODO: This was used more broadly, but no longer, so we may be able to simplify the signatures of the virtual functions.
     template<class ElemType>
-    class NonlinearityNodeBase : public ComputationNode<ElemType>, public NumInputs<1>
+    class SoftmaxNodeBase : public ComputationNode<ElemType>, public NumInputs<1>
     {
         typedef ComputationNode<ElemType> Base; UsingComputationNodeMembers;
     public:
         //virtual ComputationNodeBase * NewThis(DEVICEID_TYPE deviceId, const wstring & name) = 0;
-        DeclareConstructorFromConfigWithNumInputs(NonlinearityNodeBase);
-        NonlinearityNodeBase(DEVICEID_TYPE deviceId, const wstring & name) :
+        DeclareConstructorFromConfigWithNumInputs(SoftmaxNodeBase);
+        SoftmaxNodeBase(DEVICEID_TYPE deviceId, const wstring & name) :
             Base(deviceId, name)
         { }
 
@@ -54,7 +142,6 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             auto sliceOutputValue = OutputUsedInComputingInputNodesGradients()  ?           ValueFor(fr) : Matrix<ElemType>();
 
             // do the actual operation
-            // TODO: Once all is unified then make the order of arguments more logical (in -> out)
             BackpropToV(*m_gradientTemp, sliceInputValue, sliceInputGrad, sliceOutputGrad, sliceOutputValue);
         }
 
@@ -80,7 +167,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             Base::CopyTo(nodeP, newName, flags);
             if (flags & CopyNodeFlags::copyNodeValue)
             {
-                auto node = dynamic_pointer_cast<NonlinearityNodeBase<ElemType>>(nodeP);
+                auto node = dynamic_pointer_cast<SoftmaxNodeBase<ElemType>>(nodeP);
                 *node->m_gradientTemp = *m_gradientTemp;
             }
         }
@@ -102,250 +189,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         shared_ptr<Matrix<ElemType>> m_gradientTemp;
     };
 
-#define UsingNonlinearityNodeBaseMembers UsingComputationNodeMembersBoilerplate; using Base::m_gradientTemp
-
-    // -----------------------------------------------------------------------
-    // RectifiedLinearNode (input) -- ReLU non-linearity
-    // -----------------------------------------------------------------------
-
-    template<class ElemType>
-    class RectifiedLinearNode : public NonlinearityNodeBase<ElemType>
-    {
-        typedef NonlinearityNodeBase<ElemType> Base; UsingNonlinearityNodeBaseMembers;
-        static const std::wstring TypeName() { return L"RectifiedLinear"; }
-    public:
-        DeclareConstructorFromConfigWithNumInputs(RectifiedLinearNode);
-        RectifiedLinearNode(DEVICEID_TYPE deviceId, const wstring & name) :
-            NonlinearityNodeBase<ElemType>(deviceId, name)
-        { }
-
-        void BackpropToV(Matrix<ElemType>& gradient, const Matrix<ElemType>& inputFunctionValues, Matrix<ElemType>& inputGradientValues, const Matrix<ElemType>& gradientValues, const Matrix<ElemType>& functionValues) override
-        {
-            gradient.AssignLinearRectifierDerivativeOf(inputFunctionValues);
-#if DUMPOUTPUT
-            inputGradientValues.Print("RecitifiedLinearNode-Partial-in");
-#endif
-            inputGradientValues.AddElementProductOf(gradientValues, gradient);
-#if DUMPOUTPUT
-            inputGradientValues.Print("RecitifiedLinearNode-Partial-out");
-#endif
-        }
-
-        virtual bool OutputUsedInComputingInputNodesGradients() const override
-        {
-            // The ReLU node does not require its output value for computing
-            // the gradients of its input nodes
-            return false;
-        }
-
-        void ForwardPropV(Matrix<ElemType>& functionValues, const Matrix<ElemType>& inputFunctionValues) override
-        {
-            functionValues.AssignTruncateBottomOf(inputFunctionValues, 0);
-#if DUMPOUTPUT
-            functionValues.Print("RectifiedLinearNode");
-#endif
-        }
-    };
-
-    template class RectifiedLinearNode<float>;
-    template class RectifiedLinearNode<double>;
-
-    // -----------------------------------------------------------------------
-    // SigmoidNode (input) -- sigmoid non-linearity
-    // -----------------------------------------------------------------------
-
-    template<class ElemType>
-    class SigmoidNode : public NonlinearityNodeBase<ElemType>
-    {
-        typedef NonlinearityNodeBase<ElemType> Base; UsingNonlinearityNodeBaseMembers;
-        static const std::wstring TypeName() { return L"Sigmoid"; }
-    public:
-        DeclareConstructorFromConfigWithNumInputs(SigmoidNode);
-        SigmoidNode(DEVICEID_TYPE deviceId, const wstring & name) :
-            NonlinearityNodeBase<ElemType>(deviceId, name)
-        { }
-
-        virtual bool InputUsedInComputingInputNodesGradients(size_t childIndex) const override
-        {
-            // The Sigmoid node does not require any of it's input's values for computing
-            // the gradients of its input nodes
-            UNREFERENCED_PARAMETER(childIndex);
-            return false;
-        }
-
-        /*virtual*/ void BackpropToV(Matrix<ElemType>& gradient, const Matrix<ElemType>& inputFunctionValues, Matrix<ElemType>& inputGradientValues, const Matrix<ElemType>& gradientValues, const Matrix<ElemType>& functionValues)
-        {
-            gradient.AssignSigmoidDerivativeOf(functionValues);
-            inputGradientValues.AddElementProductOf(gradientValues, gradient);
-        }
-
-        /*virtual*/ void ForwardPropV(Matrix<ElemType>& functionValues, const Matrix<ElemType>& inputFunctionValues) override
-        {
-            functionValues.AssignSigmoidOf(inputFunctionValues);
-        }
-    };
-
-    template class SigmoidNode<float>;
-    template class SigmoidNode<double>;
-
-    // -----------------------------------------------------------------------
-    // TanhNode (input) -- tanh non-linearity
-    // -----------------------------------------------------------------------
-
-    template<class ElemType>
-    class TanhNode : public NonlinearityNodeBase<ElemType>
-    {
-        typedef NonlinearityNodeBase<ElemType> Base; UsingNonlinearityNodeBaseMembers;
-        static const std::wstring TypeName() { return L"Tanh"; }
-    public:
-        DeclareConstructorFromConfigWithNumInputs(TanhNode);
-        TanhNode(DEVICEID_TYPE deviceId, const wstring & name) :
-            NonlinearityNodeBase<ElemType>(deviceId, name)
-        { }
-
-        virtual bool InputUsedInComputingInputNodesGradients(size_t childIndex) const override
-        {
-            // The plus node does not require any of it's input's values for computing
-            // the gradients of its input nodes
-            UNREFERENCED_PARAMETER(childIndex);
-            return false;
-        }
-
-        /*virtual*/ void BackpropToV(Matrix<ElemType>& gradient, const Matrix<ElemType>& inputFunctionValues, Matrix<ElemType>& inputGradientValues, const Matrix<ElemType>& gradientValues, const Matrix<ElemType>& functionValues)
-        {
-            gradient.AssignElementProductOf(functionValues, functionValues); // v .* v
-            gradient.AssignDifferenceOf(1, gradient); // 1-v^2
-
-            inputGradientValues.AddElementProductOf(gradientValues, gradient); // += d .* ((1-v) .* v))
-        }
-
-        /*virtual*/ void ForwardPropV(Matrix<ElemType>& functionValues, const Matrix<ElemType>& inputFunctionValues) override
-        {
-            functionValues.AssignTanhOf(inputFunctionValues);
-        }
-    };
-
-    template class TanhNode<float>;
-    template class TanhNode<double>;
-
-    // -----------------------------------------------------------------------
-    // LogNode (input) -- component-wise log() of input
-    // -----------------------------------------------------------------------
-
-    template<class ElemType>
-    class LogNode : public NonlinearityNodeBase<ElemType>
-    {
-        typedef NonlinearityNodeBase<ElemType> Base; UsingNonlinearityNodeBaseMembers;
-        static const std::wstring TypeName() { return L"Log"; }
-    public:
-        DeclareConstructorFromConfigWithNumInputs(LogNode);
-        LogNode(DEVICEID_TYPE deviceId, const wstring & name) :
-            NonlinearityNodeBase<ElemType>(deviceId, name)
-        { }
-
-        virtual bool OutputUsedInComputingInputNodesGradients() const override
-        {
-            // The plus node does not require its output value for computing
-            // the gradients of its input nodes
-            return false;
-        }
-
-        /*virtual*/ void BackpropToV(Matrix<ElemType>& gradient, const Matrix<ElemType>& inputFunctionValues, Matrix<ElemType>& inputGradientValues, const Matrix<ElemType>& gradientValues, const Matrix<ElemType>& functionValues)
-        {
-            gradient.AssignElementInverseOf(inputFunctionValues); // 1/x (x is input to log(x))
-            inputGradientValues.AddElementProductOf(gradientValues, gradient);
-        }
-
-        /*virtual*/ void ForwardPropV(Matrix<ElemType>& functionValues, const Matrix<ElemType>& inputFunctionValues) override
-        {
-            functionValues.AssignLogOf(inputFunctionValues);
-        }
-    };
-
-    template class LogNode<float>;
-    template class LogNode<double>;
-
-    // -----------------------------------------------------------------------
-    // ExpNode (input) -- component-wise exp() of input
-    // -----------------------------------------------------------------------
-
-    template<class ElemType>
-    class ExpNode : public NonlinearityNodeBase<ElemType>
-    {
-        typedef NonlinearityNodeBase<ElemType> Base; UsingNonlinearityNodeBaseMembers;
-        static const std::wstring TypeName() { return L"Exp"; }
-    public:
-        DeclareConstructorFromConfigWithNumInputs(ExpNode);
-        ExpNode(DEVICEID_TYPE deviceId, const wstring & name) :
-            NonlinearityNodeBase<ElemType>(deviceId, name)
-        { }
-
-        virtual void /*ComputationNode::*/BackpropTo(const size_t inputIndex, const FrameRange & fr) override
-        {
-            assert(inputIndex == 0); inputIndex;
-
-            Matrix<ElemType> sliceInputGrad = Input(0)->GradientFor(fr);
-            Matrix<ElemType> sliceOutputGrad = GradientFor(fr);
-            Matrix<ElemType> sliceInputValue = Input(0)->ValueFor(fr);
-
-            m_gradientTemp->AssignExpOf(sliceInputValue); // Exp(x) is its own partial
-            sliceInputGrad.AddElementProductOf(sliceOutputGrad, *m_gradientTemp);
-        }
-
-        virtual bool OutputUsedInComputingInputNodesGradients() const override
-        {
-            // The ExpNode does not require its output value for computing
-            // the gradients of its input nodes
-            return false;
-        }
-
-        virtual void BackpropToV(Matrix<ElemType>& gradient, const Matrix<ElemType>& inputFunctionValues, Matrix<ElemType>& inputGradientValues, const Matrix<ElemType>& gradientValues, const Matrix<ElemType>& functionValues) override { NOT_IMPLEMENTED; }   // not needed
-
-        void ForwardPropV(Matrix<ElemType>& functionValues, const Matrix<ElemType>& inputFunctionValues) override
-        {
-            functionValues.AssignExpOf(inputFunctionValues);
-        }
-    };
-
-    template class ExpNode<float>;
-    template class ExpNode<double>;
-
-    // -----------------------------------------------------------------------
-    // CosineNode (input) -- component-wise cos() of input
-    // -----------------------------------------------------------------------
-
-    template<class ElemType>
-    class CosineNode : public NonlinearityNodeBase<ElemType>
-    {
-        typedef NonlinearityNodeBase<ElemType> Base; UsingNonlinearityNodeBaseMembers;
-        static const std::wstring TypeName() { return L"Cosine"; }
-    public:
-        DeclareConstructorFromConfigWithNumInputs(CosineNode);
-        CosineNode(DEVICEID_TYPE deviceId, const wstring & name) :
-            NonlinearityNodeBase<ElemType>(deviceId, name)
-        { }
-
-        virtual bool OutputUsedInComputingInputNodesGradients() const override
-        {
-            // The CosineNode does not require its output value for computing
-            // the gradients of its input nodes
-            return false;
-        }
-
-        /*virtual*/ void BackpropToV(Matrix<ElemType>& gradient, const Matrix<ElemType>& inputFunctionValues, Matrix<ElemType>& inputGradientValues, const Matrix<ElemType>& gradientValues, const Matrix<ElemType>& functionValues)
-        {
-            gradient.AssignNegativeSineOf(inputFunctionValues); // -sin(x) (x is input to Cosine(x))
-            inputGradientValues.AddElementProductOf(gradientValues, gradient);
-        }
-
-        /*virtual*/ void ForwardPropV(Matrix<ElemType>& functionValues, const Matrix<ElemType>& inputFunctionValues) override
-        {
-            functionValues.AssignCosineOf(inputFunctionValues);
-        }
-    };
-
-    template class CosineNode<float>;
-    template class CosineNode<double>;
+#define UsingSoftmaxNodeBaseMembers UsingComputationNodeMembersBoilerplate; using Base::m_gradientTemp
 
     // -----------------------------------------------------------------------
     // SoftmaxNode (input) -- soft-max over input vector(s)
@@ -354,14 +198,14 @@ namespace Microsoft { namespace MSR { namespace CNTK {
     //we assume it's  column-wise by default
     //the derivative will increase the Matrix<ElemType> size to the power of column size and should not be used.
     template<class ElemType>
-    class SoftmaxNode : public NonlinearityNodeBase<ElemType>
+    class SoftmaxNode : public SoftmaxNodeBase<ElemType>
     {
-        typedef NonlinearityNodeBase<ElemType> Base; UsingNonlinearityNodeBaseMembers;
+        typedef SoftmaxNodeBase<ElemType> Base; UsingSoftmaxNodeBaseMembers;
         static const std::wstring TypeName() { return L"Softmax"; }
     public:
         DeclareConstructorFromConfigWithNumInputs(SoftmaxNode);
         SoftmaxNode(DEVICEID_TYPE deviceId, const wstring & name) :
-            NonlinearityNodeBase<ElemType>(deviceId, name)
+            Base(deviceId, name)
         { }
 
         virtual bool InputUsedInComputingInputNodesGradients(size_t childIndex) const override
@@ -421,14 +265,14 @@ namespace Microsoft { namespace MSR { namespace CNTK {
     // -----------------------------------------------------------------------
 
     template<class ElemType>
-    class LogSoftmaxNode : public NonlinearityNodeBase<ElemType>
+    class LogSoftmaxNode : public SoftmaxNodeBase<ElemType>
     {
-        typedef NonlinearityNodeBase<ElemType> Base; UsingNonlinearityNodeBaseMembers;
+        typedef SoftmaxNodeBase<ElemType> Base; UsingSoftmaxNodeBaseMembers;
         static const std::wstring TypeName() { return L"LogSoftmax"; }
     public:
         DeclareConstructorFromConfigWithNumInputs(LogSoftmaxNode);
         LogSoftmaxNode(DEVICEID_TYPE deviceId, const wstring & name) :
-            NonlinearityNodeBase<ElemType>(deviceId, name)
+            Base(deviceId, name)
         { }
 
         virtual bool InputUsedInComputingInputNodesGradients(size_t childIndex) const override
@@ -786,6 +630,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         virtual void /*ComputationNodeBase::*/Validate(bool isFinalValidationPass) override
         {
             Base::Validate(isFinalValidationPass);
+            InferMBLayoutFromInputsForStandardCase();
 
             size_t rows[4], cols[4];
             for (int i = 0; i < 4; i++)
@@ -809,16 +654,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
                     LogicError("GMMLogLikelihoodNode: the number of rows in mean (second input) should equal rows(unnormedPrior(first input) * rows(feature(fourth input)).");
             }
 
-            SetDims(1, cols[3]);
-            InferMBLayoutFromInputsForStandardCase();
-            InferImageDimsFromInputs();
-        }
-
-        virtual void InferImageDimsFromInputs()
-        {
-            InferImageDimsFromInput(3, false);
-
-            m_sampleLayout = TensorShape();
+            SetDims(TensorShape(1), cols[3]);
         }
 
         virtual void CopyTo(ComputationNodeBasePtr nodeP, const std::wstring& newName, const CopyNodeFlags flags) const override
@@ -1002,9 +838,9 @@ namespace Microsoft { namespace MSR { namespace CNTK {
     // this node is not differentiable and so cannot be used in the backpropagation
     // TODO: make function value sparse?
     template<class ElemType>
-    class HardmaxNode : public NonlinearityNodeBase/*ComputationNode*/<ElemType>
+    class HardmaxNode : public SoftmaxNodeBase/*ComputationNode*/<ElemType>
     {
-        typedef NonlinearityNodeBase<ElemType> Base; UsingNonlinearityNodeBaseMembers;
+        typedef SoftmaxNodeBase<ElemType> Base; UsingSoftmaxNodeBaseMembers;
         static const std::wstring TypeName() { return L"Hardmax"; }
 
     public:
diff --git a/Source/ComputationNetworkLib/RecurrentNodes.h b/Source/ComputationNetworkLib/RecurrentNodes.h
index 76f02a0ec..1f522a053 100644
--- a/Source/ComputationNetworkLib/RecurrentNodes.h
+++ b/Source/ComputationNetworkLib/RecurrentNodes.h
@@ -91,7 +91,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             m_initialActivationValue = initialActivationValue;
             m_timeStep = 1;
             CreateMatrixIfNull(m_value);
-            SetDims(row_size, col_size);
+            SetDims(TensorShape(row_size), col_size);    // TODO: needed? Can we not infer it? How about setting a sample layout?
             m_isHistoryCarryOverManagedExternally = false;      // used for PairNetworkNode/PastValueNode combination
         }
     protected:
@@ -149,7 +149,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             fstream >> rows >> cols;
 
             // Note: Do we need load cols for delay node? I just set to zero to see if there is any problem.
-            SetDims(rows, 0);
+            SetDims(TensorShape(rows), 0);          // tensor shape will be overwritten in Validate()  --TODO: We should serialize it here.
             m_delayedActivation.Resize(rows, 0);    // Note: If we try to access history in first minibatch, we shall crash. It would be a consequence of a missing sentence-begin flag
 
             if (modelVersion >= CNTK_MODEL_VERSION_2)
diff --git a/Source/ComputationNetworkLib/ReshapingNodes.h b/Source/ComputationNetworkLib/ReshapingNodes.h
index b6673f9fc..11a92d23e 100644
--- a/Source/ComputationNetworkLib/ReshapingNodes.h
+++ b/Source/ComputationNetworkLib/ReshapingNodes.h
@@ -170,8 +170,9 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             m_targetImageLayout(imageLayout)
         { }
         ReshapeNode(const ScriptableObjects::IConfigRecordPtr configp) :
-            ReshapeNode(configp->Get(L"deviceId"), L"<placeholder>", configp->Get(L"numRows"), ImageLayoutWHC(configp->Get(L"imageWidth"), configp->Get(L"imageHeight"), configp->Get(L"imageChannels")))
+            ReshapeNode(configp->Get(L"deviceId"), L"<placeholder>", configp->Get(L"numRows"), ImageDimensions::AsTensorShape(configp->Get(L"imageWidth"), configp->Get(L"imageHeight"), configp->Get(L"imageChannels"), ImageLayoutKind::HWC/*legacy*/))
         {
+            // BUGBUG: We should not operate on image layouts here, but on a proper tensor layout.
             AttachInputs(configp, this->GetExpectedNumInputs());
         }
 
@@ -200,26 +201,6 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             m_targetImageLayout.Load(fstream);
         }
 
-        virtual void InferImageDimsFromInputs()
-        {
-            InferImageDimsFromInput(0, true);
-            InferImageDimensions();
-
-            // setting any dimension to 0 means lose the tensor, flatten to vector
-            // TODO: We can use 0 to indicate "infer". One value can be 0. It will be filled in to match row dim.
-            if (m_targetImageLayout.GetWidth() == 0 || m_targetImageLayout.GetHeight() == 0 || m_targetImageLayout.GetNumChannels() == 0)
-            {
-                // TODO: We need to decide what reshaping means in presence of a tensor.
-                m_sampleLayout = TensorShape(m_numTargetRows);
-                if (m_inputSampleLayout.GetWidth() * m_inputSampleLayout.GetNumChannels() != 1)
-                    fprintf(stderr, "WARNING: Reshape operation cannot inherit image size information from its child. Image size info is lost.\n");
-            }
-            else
-            {
-                m_sampleLayout = m_targetImageLayout;
-            }
-        }
-
         virtual void /*IComputationNode::*/PrintSelfBeforeValidation() const override
         {
             fprintf(stderr, "\nValidating --> %ls = %ls", NodeName().c_str(), OperationName().c_str());
@@ -234,12 +215,22 @@ namespace Microsoft { namespace MSR { namespace CNTK {
                 else
                     fprintf(stderr, "%ls[%lu, %lu]", child->NodeName().c_str(), child->GetNumRows(), child->GetNumCols());
             }
-            fprintf(stderr, ", NumOfRows=%lu, imageWidth=%lu, imageHeight=%lu, imageChannels=%lu)", m_numTargetRows, m_targetImageLayout.GetWidth(), m_targetImageLayout.GetHeight(), m_targetImageLayout.GetNumChannels());
+            fprintf(stderr, ", NumOfRows=%lu, imageWidth=%lu, imageHeight=%lu, imageChannels=%lu)", m_numTargetRows, m_targetImageLayout[1], m_targetImageLayout[2], m_targetImageLayout[0]);
+            // BUGBUG: This interpretaion as image dims is only correct for the 'legacy format, not for cudnn.
         }
 
         virtual void /*ComputationNodeBase::*/Validate(bool isFinalValidationPass) override
         {
             Base::Validate(isFinalValidationPass);
+            if (factor() == 1)          // canonical case: keeps the MBLayout(e.g. only changing the TensorShape)
+                m_pMBLayout = Input(0)->GetMBLayout();
+            else if (Input(0)->HasMBLayout())
+            {
+                if (!m_pMBLayout)
+                    m_pMBLayout = make_shared<MBLayout>();  // mini-batch data: this generates a new layout
+            }
+            else
+                assert(!m_pMBLayout);                       // reshaping non-mini-batch data
 
             size_t rows = Input(0)->GetNumRows(), cols = Input(0)->GetNumCols();
             // Note: During initial validation, cols may not be a multiple. E.g. cols may be 1 or 3. So we cannot check here whether the integer-multiple conditions are fulfilled.
@@ -253,17 +244,24 @@ namespace Microsoft { namespace MSR { namespace CNTK {
                     LogicError("%ls %ls operation: unexpected dimension mismatch", NodeName().c_str(), OperationName().c_str());
             }
 
-            SetDims(m_numTargetRows, newCols);
-            if (factor() == 1)          // canonical case: no reshaping actually (e.g. only changing the TensorShape)
-                m_pMBLayout = Input(0)->GetMBLayout();
-            else if (Input(0)->HasMBLayout())
+            // patch up m_targetImageLayout, which was originally a construction parameter
+            InferTargetSampleLayout();
+
+            // setting any dimension to 0 means lose the tensor, flatten to vector
+            // TODO: We can use 0 to indicate "infer". One value can be 0. It will be filled in to match row dim.
+            if (m_targetImageLayout[1] == 0 || m_targetImageLayout[2] == 0 || m_targetImageLayout[0] == 0)
             {
-                if (!m_pMBLayout)
-                    m_pMBLayout = make_shared<MBLayout>();  // mini-batch data: this generates its own layout
+                if (Input(0)->HasSampleLayout())
+                    fprintf(stderr, "WARNING: Reshape operation cannot inherit image size information from its child. Image size info is lost.\n");
+                // TODO: We need to decide what reshaping means in presence of a tensor.
+                SetDims(TensorShape(m_numTargetRows), newCols);
             }
             else
-                assert(!m_pMBLayout);                       // reshaping non-mini-batch data
-            InferImageDimsFromInputs();
+            {
+                if (m_numTargetRows != m_targetImageLayout.GetNumElements())
+                    LogicError("ReshapeNode: InferTargetSampleLayout() computed a sample layout [%s] that mismatches m_numTargetRows %d.", string(m_targetImageLayout).c_str(), (int)m_numTargetRows);
+                SetDims(m_targetImageLayout, newCols);
+            }
         }
 
         virtual void UpdateFunctionMBSize() override
@@ -277,7 +275,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
 #endif
             }
             else
-                SetDims(m_numTargetRows, newCols);
+                SetNumCols(newCols);
         }
 
         // TODO: there seems to be semantic overlap between BeginForwardProp() and UpdateFunctionMBSize()
@@ -381,33 +379,36 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         size_t factor() const { return m_numTargetRows > Input(0)->GetNumRows() ? m_numTargetRows / Input(0)->GetNumRows() : Input(0)->GetNumRows() / m_numTargetRows; }   // factor by which we stack or unstack
         TensorShape m_targetImageLayout;
 
-        void InferImageDimensions()
+        // this patches up m_targetImageLayout according to some rules
+        // TODO: Say in one sentence what this logic does.
+        void InferTargetSampleLayout()
         {
-            if (m_targetImageLayout.GetWidth() > 0)
+            // BUGBUG: Below is the result of refactoring and only works for rank-3 tensors. Generalize.
+            if (m_targetImageLayout[1] > 0)
             {
-                if (m_targetImageLayout.GetHeight() > 0)
+                if (m_targetImageLayout[2] > 0)
                 {
-                    if (m_targetImageLayout.GetNumChannels() > 0)
+                    if (m_targetImageLayout[0] > 0)
                     {
                         if (m_targetImageLayout.GetNumElements() != m_numTargetRows)
                             RuntimeError("Image dimensions do not match row size.");
                     }
                     else
                     {
-                        if (m_numTargetRows % (m_targetImageLayout.GetWidth() * m_targetImageLayout.GetHeight()) > 0)
+                        if (m_numTargetRows % (m_targetImageLayout[1] * m_targetImageLayout[2]) > 0)
                             RuntimeError("Image row size is not a multiple of specified image dimensions.");
                         else
-                            m_targetImageLayout = ImageLayoutWHC(m_targetImageLayout.GetWidth(), m_targetImageLayout.GetHeight(), m_numTargetRows / (m_targetImageLayout.GetWidth() * m_targetImageLayout.GetHeight()));
+                            m_targetImageLayout = TensorShape(m_numTargetRows / (m_targetImageLayout[1] * m_targetImageLayout[2]), m_targetImageLayout[1], m_targetImageLayout[2]);
                     }
                 }
                 else
                 {
-                    if (m_targetImageLayout.GetNumChannels() > 0)
+                    if (m_targetImageLayout[0] > 0)
                     {
-                        if (m_numTargetRows % (m_targetImageLayout.GetWidth() * m_targetImageLayout.GetNumChannels()) > 0)
+                        if (m_numTargetRows % (m_targetImageLayout[1] * m_targetImageLayout[0]) > 0)
                             RuntimeError("Image row size is not a multiple of specified image dimensions.");
                         else
-                            m_targetImageLayout = ImageLayoutWHC(m_targetImageLayout.GetWidth(), m_numTargetRows / (m_targetImageLayout.GetWidth() * m_targetImageLayout.GetNumChannels()), m_targetImageLayout.GetNumChannels());
+                            m_targetImageLayout = TensorShape(m_targetImageLayout[0], m_targetImageLayout[1], m_numTargetRows / (m_targetImageLayout[1] * m_targetImageLayout[0]));
                     }
                     else
                     {
@@ -417,22 +418,22 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             }
             else
             {
-                if (m_targetImageLayout.GetHeight() > 0)
+                if (m_targetImageLayout[2] > 0)
                 {
-                    if (m_targetImageLayout.GetNumChannels() > 0)
+                    if (m_targetImageLayout[0] > 0)
                     {
-                        if (m_numTargetRows % (m_targetImageLayout.GetHeight() * m_targetImageLayout.GetNumChannels()) > 0)
+                        if (m_numTargetRows % (m_targetImageLayout[2] * m_targetImageLayout[0]) > 0)
                             RuntimeError("Image row size is not a multiple of specified image dimensions.");
                         else
-                            m_targetImageLayout = ImageLayoutWHC(m_numTargetRows / (m_targetImageLayout.GetHeight() * m_targetImageLayout.GetNumChannels()), m_targetImageLayout.GetHeight(), m_targetImageLayout.GetNumChannels());
+                            m_targetImageLayout = TensorShape(m_targetImageLayout[0], m_numTargetRows / (m_targetImageLayout[2] * m_targetImageLayout[0]), m_targetImageLayout[2]);
                     }
                     else
                         RuntimeError("At least two image dimensions must be specified.");
                 }
-                else if (m_targetImageLayout.GetNumChannels() > 0)
+                else if (m_targetImageLayout[0] > 0)
                     RuntimeError("At least two image dimensions must be specified.");
                 else
-                    m_targetImageLayout = ImageLayoutWHC(m_numTargetRows, 1, 1);
+                    m_targetImageLayout = TensorShape(1, m_numTargetRows, 1);
             }
         }
     };
@@ -483,14 +484,12 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         virtual void /*ComputationNodeBase::*/Validate(bool isFinalValidationPass) override
         {
             Base::Validate(isFinalValidationPass);
-
             if (isFinalValidationPass && (!Input(0)->HasMBLayout() || !Input(1)->HasMBLayout()))
                 RuntimeError("%ls %ls operation requires two inputs that both have an associated MB layout.", NodeName().c_str(), OperationName().c_str());
             m_pMBLayout = Input(1)->GetMBLayout(); // output layout is that of 'layoutInput'
             // Note: We could also enforce that both inputs in fact have different layouts. But maybe there are edge cases where it isn't. Then this just becomes a nop. Also OK.
 
             SetDims(Input(0));
-            InferImageDimsFromInputs();
         }
     };
 
@@ -576,27 +575,13 @@ namespace Microsoft { namespace MSR { namespace CNTK {
 
             // RowSlice cannot slice tensors.
             // TODO: Create a TensorSlice operation, or just Slice.
-            if (isFinalValidationPass && Input(0)->GetSampleLayout().GetRank() != 1
+            if (isFinalValidationPass && Input(0)->HasSampleLayout()
                 && !Input(0)->GetSampleLayout().IsVectorStoredAsImage()   // legacy
                 )
                 RuntimeError("%ls %ls operation: Input must be a vector, tensor shape [%s] not allowed.", NodeName().c_str(), OperationName().c_str(), string(Input(0)->GetSampleLayout()).c_str());
             SetDims(TensorShape(m_sliceHeight), Input(0)->GetNumCols());
-            //InferImageDimsFromInputs(); 
         }
 
-#if 0
-        virtual void InferImageDimsFromInputs()
-        {
-            // TODO: This is outdated.
-            InferImageDimsFromInput(0, true);
-            m_sampleLayout = ImageLayoutWHC(m_sampleLayout.GetWidth(), m_sliceHeight, m_sampleLayout.GetNumChannels());
-
-            // warn that this node will destroy the image size information from the child
-            if (m_inputSampleLayout.GetWidth() * m_inputSampleLayout.GetNumChannels() != 1)
-                fprintf(stderr, "WARNING: RowSlice operation cannot inherit image size information from its child. Image size info is lost.\n");
-        }
-#endif
-
     private:
         size_t m_startIndex, m_sliceHeight;
     };
@@ -663,10 +648,20 @@ namespace Microsoft { namespace MSR { namespace CNTK {
 
             size_t numCols = Input(0)->GetNumCols();
 
+            // we must fuse all tensor shapes
+            // All dimensions but the last must be the same.
+            // Note that trailing ones may be stripped, so we must first pad.
+            SmallVector<size_t> dims = Input(0)->GetSampleLayout().GetDims();
+            size_t maxRank = 0;
+            for (int i = 0; i < GetNumInputs(); i++)
+                if (maxRank < GetInputSampleLayout(i).GetRank())
+                    maxRank = GetInputSampleLayout(i).GetRank();
+            dims.resize(maxRank-1, 1);        // pad and/or strip trailing dimension
+
             // count totalRows and form m_startRowIndices[] array, which is the cumulative sum of matrix heights
             m_startRowIndices.resize(GetNumInputs());
             size_t totalRows = 0;
-
+            size_t totalTrailingDim = 0;                // last tensor dimension is what gets stacked up
             for (int i = 0; i < GetNumInputs(); i++)
             {
                 if (isFinalValidationPass && !HasMBLayout() && Input(i)->GetNumCols() != numCols)
@@ -674,24 +669,25 @@ namespace Microsoft { namespace MSR { namespace CNTK {
 
                 m_startRowIndices[i] = totalRows;
                 totalRows += Input(i)->GetNumRows();
+                SmallVector<size_t> thisDims = Input(i)->GetSampleLayout().GetDims();
+                thisDims.resize(maxRank, 1);            // pad and/or strip trailing dimension
+                totalTrailingDim += thisDims.back();    // count total trailing dimensions (that's what we have after stacking)
+                thisDims.resize(maxRank - 1);           // verify that dimensions match
+                if (dims != thisDims)
+                    InvalidArgument("%ls %ls operation: Incompatible tensor dimension [%s] for input %ls %ls",
+                                    NodeName().c_str(), OperationName().c_str(), std::string(Input(i)->GetSampleLayout()).c_str(),
+                                    Input(i)->NodeName().c_str(), Input(i)->OperationName().c_str());
             }
 
-            SetDims(totalRows, numCols);
-            InferImageDimsFromInputs();
-        }
-
-        virtual void InferImageDimsFromInputs()
-        {
-            InferImageDimsFromInput(0, true);
-#if 0
-            // TODO: stacked elements should become another tensor dimension
-#else
-            m_sampleLayout = ImageLayoutWHC(m_sampleLayout.GetWidth(), GetNumRows(), m_sampleLayout.GetNumChannels());
-#endif
-
             // warn that this node will destroy the image size information from the child
-            if (m_inputSampleLayout.GetWidth() * m_inputSampleLayout.GetNumChannels() != 1)
+            if (Input(0)->HasSampleLayout())
                 fprintf(stderr, "WARNING: RowStack operation cannot inherit image size information from its child. Image size info is lost.\n");
+
+            dims.push_back(totalTrailingDim);
+            SetDims(TensorShape(dims), numCols);
+
+            if (totalRows != GetNumRows())
+                LogicError("%ls RowStack operation: Tensor shapes of inputs were not compatible after all?", NodeName().c_str());
         }
 
     private:
@@ -743,20 +739,6 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             fstream >> m_numRepeat;
         }
 
-        virtual void InferImageDimsFromInputs()
-        {
-            InferImageDimsFromInput(0, true);
-#if 0
-            // TODO: This should add another tensor dimension.
-#else
-            m_sampleLayout = ImageLayoutWHC(m_sampleLayout.GetWidth(), m_inputSampleLayout.GetHeight() * m_numRepeat, m_sampleLayout.GetNumChannels());
-#endif
-
-            // watn that this node will destroy the image size information from the child
-            if (m_inputSampleLayout.GetWidth() * m_inputSampleLayout.GetNumChannels() != 1)
-                fprintf(stderr, "WARNING: RowRepeat operation cannot inherit image size information from its child. Image size info is lost.\n");
-        }
-
         virtual void PrintSelfBeforeValidation(bool allowNulls = false) const
         {
             fprintf(stderr, "\nValidating --> %ls = %ls", NodeName().c_str(), OperationName().c_str());
@@ -790,10 +772,14 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         virtual void /*ComputationNodeBase::*/Validate(bool isFinalValidationPass) override
         {
             Base::Validate(isFinalValidationPass);
-
-            SetDims(Input(0)->GetNumRows() * m_numRepeat, Input(0)->GetNumCols());
             InferMBLayoutFromInputsForStandardCase();
-            InferImageDimsFromInputs();
+
+            // the trailing dimension gets multiplied
+            // TODO: Or should we add an additional dimension?
+            SmallVector<size_t> dims = GetInputSampleLayout(0).GetDims();
+            dims.back() *= m_numRepeat;
+
+            SetDims(TensorShape(dims), Input(0)->GetNumCols());
         }
 
         virtual void /*ComputationNode::*/ForwardProp(const FrameRange & fr) override
diff --git a/Source/ComputationNetworkLib/TrainingCriterionNodes.h b/Source/ComputationNetworkLib/TrainingCriterionNodes.h
index a34a92c66..e7481e399 100644
--- a/Source/ComputationNetworkLib/TrainingCriterionNodes.h
+++ b/Source/ComputationNetworkLib/TrainingCriterionNodes.h
@@ -64,13 +64,6 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             ValidateBinaryReduce(isFinalValidationPass);
         }
 
-        virtual void InferImageDimsFromInputs()
-        {
-            InferImageDimsFromInput(0, false);
-
-            m_sampleLayout = TensorShape();
-        }       
-
         virtual void CopyTo(ComputationNodeBasePtr nodeP, const std::wstring& newName, const CopyNodeFlags flags) const override
         {
             Base::CopyTo(nodeP, newName, flags);
@@ -190,13 +183,6 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             ValidateBinaryReduce(isFinalValidationPass);
         }
 
-        virtual void InferImageDimsFromInputs()
-        {
-            InferImageDimsFromInput(0, false);
-
-            m_sampleLayout = TensorShape();
-        }
-
         virtual void CopyTo(ComputationNodeBasePtr nodeP, const std::wstring& newName, const CopyNodeFlags flags) const override
         {
             Base::CopyTo(nodeP, newName, flags);
@@ -299,13 +285,6 @@ namespace Microsoft { namespace MSR { namespace CNTK {
                 LogicError("CrossEntropyNode criterion requires the first input to be the label.");
         }
 
-        virtual void InferImageDimsFromInputs()
-        {
-            InferImageDimsFromInput(0, false);
-
-            m_sampleLayout = TensorShape();
-        }
-
         virtual void CopyTo(ComputationNodeBasePtr nodeP, const std::wstring& newName, const CopyNodeFlags flags) const override
         {
             Base::CopyTo(nodeP, newName, flags);
@@ -399,13 +378,6 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             ValidateUnaryReduce(isFinalValidationPass);
         }
 
-        virtual void InferImageDimsFromInputs()
-        {
-            InferImageDimsFromInput(0, false);
-
-            m_sampleLayout = TensorShape();
-        }
-
         virtual void CopyTo(ComputationNodeBasePtr nodeP, const std::wstring& newName, const CopyNodeFlags flags) const override
         {
             Base::CopyTo(nodeP, newName, flags);
@@ -480,13 +452,6 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         {
             ValidateUnaryReduce(isFinalValidationPass);
         }
-
-        virtual void InferImageDimsFromInputs()
-        {
-            InferImageDimsFromInput(0, false);
-
-            m_sampleLayout = TensorShape();
-        }
     };
 
     template class MatrixL2RegNode<float>; 
@@ -641,6 +606,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         virtual void /*ComputationNodeBase::*/Validate(bool isFinalValidationPass) override
         {
             Base::Validate(isFinalValidationPass);
+            m_pMBLayout = nullptr;    // this node does not hold mini-batch data
 
             if (Input(0)->OperationName() != OperationNameOf(InputValue))
                 LogicError("NoiseContrastiveEstimationNode criterion requires the first input to be the label.");
@@ -653,15 +619,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             }
 
             //cerr << Input(3)->GetNumCols() << "\t" << Input(0)->GetNumCols() << endl;
-            SetDims(1,1);
-            m_pMBLayout = nullptr;    // this node does not hold mini-batch data
-            InferImageDimsFromInputs();
-        }
-
-        virtual void InferImageDimsFromInputs()
-        {
-            InferImageDimsFromInput(0, false);
-            m_sampleLayout = TensorShape();
+            SetDims(TensorShape(1), 1);
         }
 
     protected:
@@ -930,6 +888,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         virtual void /*ComputationNodeBase::*/Validate(bool isFinalValidationPass) override
         {
             Base::Validate(isFinalValidationPass);
+            m_pMBLayout = nullptr;    // this node does not hold mini-batch data
 
             if (Input(0)->OperationName() != OperationNameOf(InputValue))  // TODO: but why could that label not be post-processed through another node?
                 LogicError("ClassBasedCrossEntropyWithSoftmaxNode criterion requires the first input to be the label.");
@@ -943,20 +902,11 @@ namespace Microsoft { namespace MSR { namespace CNTK {
                     InvalidArgument("%ls %ls operation requires that the layouts of inputs 0 (label), 1 (hidden activation), and 3 (log softmax) match.", NodeName().c_str(), OperationName().c_str());
             }
 
-            SetDims(1, 1);
-            m_pMBLayout = nullptr;    // this node does not hold mini-batch data
-            InferImageDimsFromInputs();
+            SetDims(TensorShape(1), 1);
 
             m_nbrCls = Input(3)->GetNumRows();
         }
 
-        virtual void InferImageDimsFromInputs()
-        {
-            InferImageDimsFromInput(0, false);
-
-            m_sampleLayout = TensorShape();
-        }
-
     protected:
         Matrix<ElemType> m_logSoftmax;
         Matrix<ElemType> m_softMax;
@@ -1216,6 +1166,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         virtual void /*ComputationNodeBase::*/Validate(bool isFinalValidationPass) override
         {
             Base::Validate(isFinalValidationPass);
+            m_pMBLayout = nullptr;    // this node does not hold mini-batch data
 
             if (isFinalValidationPass)
                 if (!(Input(1)->GetNumRows() == Input(2)->GetNumRows() &&  // position dependent and pair scores have same number of labels
@@ -1226,16 +1177,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
                 LogicError("The Matrix dimension in the CRFNode operation does not match.");
             }
 
-            SetDims(1,1);
-            m_pMBLayout = nullptr;    // this node does not hold mini-batch data
-            InferImageDimsFromInputs();
-        }
-
-        virtual void InferImageDimsFromInputs()
-        {
-            InferImageDimsFromInput(0, false);
-
-            m_sampleLayout = TensorShape();
+            SetDims(TensorShape(1), 1);
         }
 
         virtual void CopyTo(ComputationNodeBasePtr nodeP, const std::wstring& newName, const CopyNodeFlags flags) const override
@@ -1380,6 +1322,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         virtual void /*ComputationNodeBase::*/Validate(bool isFinalValidationPass) override
         {
             Base::Validate(isFinalValidationPass);
+            m_pMBLayout = nullptr;  // no layout
 
             if (Input(0)->OperationName() != L"InputValue" && Input(0)->OperationName() != L"SparseInputValue")
                 LogicError("SequenceWithSoftmaxNode criterion requires the first input to be the label.");
@@ -1393,21 +1336,12 @@ namespace Microsoft { namespace MSR { namespace CNTK {
                     LogicError("The Matrix dimension in the SequenceWithSoftmaxNode operation does not match.");
             }
 
-            SetDims(1, 1);
-            m_pMBLayout = nullptr;  // no layout
-            InferImageDimsFromInputs();
+            SetDims(TensorShape(1), 1);
 
             m_gammatime = 0;
             m_partialtime = 0;
         }
 
-        virtual void InferImageDimsFromInputs()
-        {
-            InferImageDimsFromInput(0, false);
-
-            m_sampleLayout = TensorShape();
-        }
-
         virtual void CopyTo(ComputationNodeBasePtr nodeP, const std::wstring& newName, const CopyNodeFlags flags) const override
         {
             Base::CopyTo(nodeP, newName, flags);
@@ -1628,12 +1562,6 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             ReleaseMatrixToPool(m_temp, matrixPool);
         }
 
-        virtual void InferImageDimsFromInputs()
-        {
-            InferImageDimsFromInput(0, false);
-            m_sampleLayout = TensorShape();
-        }
-
         virtual void CopyTo(const ComputationNodePtr nodeP, const std::wstring& newName, const CopyNodeFlags flags) const
         {
             Base::CopyTo(nodeP, newName, flags);
diff --git a/Source/EvalDll/stdafx.h b/Source/EvalDll/stdafx.h
index 9f697c1d5..46b57e8b6 100644
--- a/Source/EvalDll/stdafx.h
+++ b/Source/EvalDll/stdafx.h
@@ -5,7 +5,9 @@
 
 #pragma once
 
-#define _CRT_SECURE_NO_WARNINGS // "secure" CRT not available on all platforms
+#ifndef _CRT_SECURE_NO_WARNINGS
+#define _CRT_SECURE_NO_WARNINGS // "secure" CRT not available on all platforms  --add this at the top of all CPP files that give "function or variable may be unsafe" warnings
+#endif
 #ifdef _WIN32
 #include "targetver.h"
 #endif
diff --git a/Source/Math/CPUMatrix.cpp b/Source/Math/CPUMatrix.cpp
index 7295023bb..4aeca6e64 100644
--- a/Source/Math/CPUMatrix.cpp
+++ b/Source/Math/CPUMatrix.cpp
@@ -5538,7 +5538,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
     {
         // reduction case (non-reduction case is specialized)
         static inline ElemType Loop(array<ElemType*, N> pointers, const OPFN & opfn,
-                                    const vector<size_t> & reducingOpDims, const array<vector<ptrdiff_t>, N> & reducingStrides)
+                                    const SmallVector<size_t> & reducingOpDims, const array<SmallVector<ptrdiff_t>, N> & reducingStrides)
         {
             array<ptrdiff_t, N - 1> strides;        // N-1 because last one is the result pointer, which is unused in reduction
             for (size_t i = 0; i < N - 1; i++)      // N = a small constant, this will be unrolled
@@ -5562,7 +5562,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
     struct TensorOpReduction<ElemType, OPFN, N, -1>
     {
         static inline ElemType Loop(array<ElemType*, N> pointers, const OPFN & opfn,
-                                    const vector<size_t> &, const array<vector<ptrdiff_t>, N> &)
+                                    const SmallVector<size_t> &, const array<SmallVector<ptrdiff_t>, N> &)
         {
             return opfn(pointers);          // finally we are doing some work!!!
         }
@@ -5577,8 +5577,8 @@ namespace Microsoft { namespace MSR { namespace CNTK {
     struct TensorOpIteration
     {
         static inline void Loop(ElemType beta, array<ElemType*, N> pointers, ElemType alpha, const OPFN & opfn,
-                                const vector<size_t> & regularOpDims,  const array<vector<ptrdiff_t>, N> & regularStrides,
-                                const vector<size_t> & reducingOpDims, const array<vector<ptrdiff_t>, N> & reducingStrides)
+                                const SmallVector<size_t> & regularOpDims,  const array<SmallVector<ptrdiff_t>, N> & regularStrides,
+                                const SmallVector<size_t> & reducingOpDims, const array<SmallVector<ptrdiff_t>, N> & reducingStrides)
         {
             // non-scalar case: still nested result loops left
             array<ptrdiff_t, N> strides;
@@ -5601,8 +5601,8 @@ namespace Microsoft { namespace MSR { namespace CNTK {
     struct TensorOpIteration<ElemType, OPFN, 3, true/*vectorizable*/, -1/*no reduction*/, 0/*innermost loop*/>
     {
         static inline void Loop(ElemType beta, array<ElemType*, 3> pointers, ElemType alpha, const OPFN & opfn,
-                                const vector<size_t> & regularOpDims,  const array<vector<ptrdiff_t>, 3> & regularStrides,
-                                const vector<size_t> & reducingOpDims, const array<vector<ptrdiff_t>, 3> & reducingStrides)
+                                const SmallVector<size_t> & regularOpDims,  const array<SmallVector<ptrdiff_t>, 3> & regularStrides,
+                                const SmallVector<size_t> & reducingOpDims, const array<SmallVector<ptrdiff_t>, 3> & reducingStrides)
         {
             ElemType* pa = pointers[0];
             ElemType* pb = pointers[1];
@@ -5630,8 +5630,8 @@ namespace Microsoft { namespace MSR { namespace CNTK {
     struct TensorOpIteration<ElemType, OPFN, 2, true/*vectorizable*/, -1/*no reduction*/, 0/*innermost loop*/>
     {
         static inline void Loop(ElemType beta, array<ElemType*, 2> pointers, ElemType alpha, const OPFN & opfn,
-                                const vector<size_t> & regularOpDims,  const array<vector<ptrdiff_t>, 2> & regularStrides,
-                                const vector<size_t> & reducingOpDims, const array<vector<ptrdiff_t>, 2> & reducingStrides)
+                                const SmallVector<size_t> & regularOpDims,  const array<SmallVector<ptrdiff_t>, 2> & regularStrides,
+                                const SmallVector<size_t> & reducingOpDims, const array<SmallVector<ptrdiff_t>, 2> & reducingStrides)
         {
             ElemType* pa = pointers[0];
             ElemType* pb = pointers[1];
@@ -5656,8 +5656,8 @@ namespace Microsoft { namespace MSR { namespace CNTK {
     struct TensorOpIteration<ElemType, OPFN, N, vectorizable, m, -1>
     {
         static inline void Loop(ElemType beta, array<ElemType*, N> pointers, ElemType alpha, const OPFN & opfn,
-                                const vector<size_t> &, const array<vector<ptrdiff_t>, N> &,
-                                const vector<size_t> & reducingOpDims, const array<vector<ptrdiff_t>, N> & reducingStrides)
+                                const SmallVector<size_t> &, const array<SmallVector<ptrdiff_t>, N> &,
+                                const SmallVector<size_t> & reducingOpDims, const array<SmallVector<ptrdiff_t>, N> & reducingStrides)
         {
             // we are at element level for the result: perform the op (there may still be reduction)
             ElemType val = TensorOpReduction<ElemType, OPFN, N, m>::Loop(pointers, opfn, reducingOpDims, reducingStrides);
@@ -5680,8 +5680,8 @@ namespace Microsoft { namespace MSR { namespace CNTK {
     // tensor operation with k+1 dimensions (-1 means scalar)
     template<class ElemType, typename OPFN, size_t N, int k>
     static void TensorOpWithRegularLoop(ElemType beta, const array<ElemType*, N> & pointers, ElemType alpha, const OPFN & opfn,
-                                        const vector<size_t> & regularOpDims,  const array<vector<ptrdiff_t>, N> & regularStrides,
-                                        const vector<size_t> & reducingOpDims, const array<vector<ptrdiff_t>, N> & reducingStrides)
+                                        const SmallVector<size_t> & regularOpDims,  const array<SmallVector<ptrdiff_t>, N> & regularStrides,
+                                        const SmallVector<size_t> & reducingOpDims, const array<SmallVector<ptrdiff_t>, N> & reducingStrides)
     {
         size_t dims = reducingOpDims.size();
         switch (dims)
@@ -5708,8 +5708,8 @@ namespace Microsoft { namespace MSR { namespace CNTK {
     template<class ElemType, typename OPFN, size_t N>
     static void TensorOpWithFn(ElemType beta, array<ElemType*, N> pointers, ElemType alpha, const OPFN & opfn,
                                const array<size_t, N> & offsets,
-                               const vector<size_t> & regularOpDims,  const array<vector<ptrdiff_t>, N> & regularStrides,
-                               const vector<size_t> & reducingOpDims, const array<vector<ptrdiff_t>, N> & reducingStrides)
+                               const SmallVector<size_t> & regularOpDims,  const array<SmallVector<ptrdiff_t>, N> & regularStrides,
+                               const SmallVector<size_t> & reducingOpDims, const array<SmallVector<ptrdiff_t>, N> & reducingStrides)
     {
         for (size_t i = 0; i < N; i++)  // N = a small constant, this will be unrolled
             pointers[i] += offsets[i];
@@ -5734,8 +5734,8 @@ namespace Microsoft { namespace MSR { namespace CNTK {
     template<class ElemType>
     void CPUMatrix<ElemType>::TensorOp(ElemType beta, const CPUMatrix<ElemType>& a, ElemType alpha, ElementWiseOperator op,
                                        const array<size_t, 2> & offsets,
-                                       const vector<size_t> & regularOpDims,  const array<vector<ptrdiff_t>, 2> & regularStrides,
-                                       const vector<size_t> & reducingOpDims, const array<vector<ptrdiff_t>, 2> & reducingStrides)
+                                       const SmallVector<size_t> & regularOpDims,  const array<SmallVector<ptrdiff_t>, 2> & regularStrides,
+                                       const SmallVector<size_t> & reducingOpDims, const array<SmallVector<ptrdiff_t>, 2> & reducingStrides)
     {
         #define CaseUnaryTensorOp(oper) \
             case ElementWiseOperator::op ## oper: \
@@ -5754,8 +5754,8 @@ namespace Microsoft { namespace MSR { namespace CNTK {
     template<class ElemType>
     void CPUMatrix<ElemType>::TensorOp(ElemType beta, const CPUMatrix<ElemType>& a, const CPUMatrix<ElemType>& b, ElemType alpha, ElementWiseOperator op,
                                        const array<size_t, 3> & offsets,
-                                       const vector<size_t> & regularOpDims,  const array<vector<ptrdiff_t>, 3> & regularStrides,
-                                       const vector<size_t> & reducingOpDims, const array<vector<ptrdiff_t>, 3> & reducingStrides)
+                                       const SmallVector<size_t> & regularOpDims,  const array<SmallVector<ptrdiff_t>, 3> & regularStrides,
+                                       const SmallVector<size_t> & reducingOpDims, const array<SmallVector<ptrdiff_t>, 3> & reducingStrides)
     {
         #define CaseBinaryTensorOp(oper) \
             case ElementWiseOperator::op ## oper: \
@@ -5774,8 +5774,8 @@ namespace Microsoft { namespace MSR { namespace CNTK {
     template<class ElemType>
     void CPUMatrix<ElemType>::TensorOp(ElemType beta, const CPUMatrix<ElemType>& a, const CPUMatrix<ElemType>& b, const CPUMatrix<ElemType>& c, ElemType alpha, ElementWiseOperator op,
                                        const array<size_t, 4> & offsets,
-                                       const vector<size_t> & regularOpDims,  const array<vector<ptrdiff_t>, 4> & regularStrides,
-                                       const vector<size_t> & reducingOpDims, const array<vector<ptrdiff_t>, 4> & reducingStrides)
+                                       const SmallVector<size_t> & regularOpDims,  const array<SmallVector<ptrdiff_t>, 4> & regularStrides,
+                                       const SmallVector<size_t> & reducingOpDims, const array<SmallVector<ptrdiff_t>, 4> & reducingStrides)
     {
         #define CaseTernaryTensorOp(oper) \
             case ElementWiseOperator::op ## oper: \
diff --git a/Source/Math/CPUMatrix.h b/Source/Math/CPUMatrix.h
index 18b4dd5fa..204f3b809 100644
--- a/Source/Math/CPUMatrix.h
+++ b/Source/Math/CPUMatrix.h
@@ -337,16 +337,16 @@ namespace Microsoft { namespace MSR { namespace CNTK {
 
         void TensorOp(ElemType beta, const CPUMatrix<ElemType>& a, ElemType alpha, ElementWiseOperator op,
                       const std::array<size_t, 2> & offsets,
-                      const std::vector<size_t> & regularOpDims,  const std::array<std::vector<ptrdiff_t>, 2> & regularStrides,
-                      const std::vector<size_t> & reducingOpDims, const std::array<std::vector<ptrdiff_t>, 2> & reducingStrides);
+                      const SmallVector<size_t> & regularOpDims,  const std::array<SmallVector<ptrdiff_t>, 2> & regularStrides,
+                      const SmallVector<size_t> & reducingOpDims, const std::array<SmallVector<ptrdiff_t>, 2> & reducingStrides);
         void TensorOp(ElemType beta, const CPUMatrix<ElemType>& a, const CPUMatrix<ElemType>& b, ElemType alpha, ElementWiseOperator op,
                       const std::array<size_t, 3> & offsets,
-                      const std::vector<size_t> & regularOpDims,  const std::array<std::vector<ptrdiff_t>, 3> & regularStrides,
-                      const std::vector<size_t> & reducingOpDims, const std::array<std::vector<ptrdiff_t>, 3> & reducingStrides);
+                      const SmallVector<size_t> & regularOpDims,  const std::array<SmallVector<ptrdiff_t>, 3> & regularStrides,
+                      const SmallVector<size_t> & reducingOpDims, const std::array<SmallVector<ptrdiff_t>, 3> & reducingStrides);
         void TensorOp(ElemType beta, const CPUMatrix<ElemType>& a, const CPUMatrix<ElemType>& b, const CPUMatrix<ElemType>& c, ElemType alpha, ElementWiseOperator op,
                       const std::array<size_t, 4> & offsets,
-                      const std::vector<size_t> & regularOpDims,  const std::array<std::vector<ptrdiff_t>, 4> & regularStrides,
-                      const std::vector<size_t> & reducingOpDims, const std::array<std::vector<ptrdiff_t>, 4> & reducingStrides);
+                      const SmallVector<size_t> & regularOpDims,  const std::array<SmallVector<ptrdiff_t>, 4> & regularStrides,
+                      const SmallVector<size_t> & reducingOpDims, const std::array<SmallVector<ptrdiff_t>, 4> & reducingStrides);
 
         static CPUMatrix<ElemType> Ones(const size_t rows, const size_t cols);
         static CPUMatrix<ElemType> Zeros(const size_t rows, const size_t cols);
diff --git a/Source/Math/CommonMatrix.h b/Source/Math/CommonMatrix.h
index 6783ce763..f0efea626 100644
--- a/Source/Math/CommonMatrix.h
+++ b/Source/Math/CommonMatrix.h
@@ -39,7 +39,7 @@
 
 MATH_API DEVICEID_TYPE EnforceOneGPUOnly(DEVICEID_TYPE requestedDeviceId);
 
-namespace Microsoft { namespace MSR { namespace CNTK {    
+namespace Microsoft { namespace MSR { namespace CNTK {
 
     // -----------------------------------------------------------------------
     // ElementWiseOperator -- This enum represents which function to apply.
@@ -48,41 +48,49 @@ namespace Microsoft { namespace MSR { namespace CNTK {
 
     enum ElementWiseOperator
     {
+        // nullary
+        opConstOne,
         // unary (or binary with constant parameter)
         opCopy,
         opNegate, opNot,
         opAbs,
-        opSigmoid, opSigmoidDerivative, opTanh, opSqrt, opExp, opLog, opLinearRectifierDerivative, opCosine, opNegativeSine,
-        // these are not implemented yet:
-        opSaturateBetaAlpha, opSumAlpha, opSubDifferenceToAlpha, opSubDifferenceFromAlpha,
+        opSigmoid, opTanh, opSqrt, opExp, opLog, opLinearRectifier, opCosine,
+        // unary ops for use by Matrix class only (there is no TensorView implementation)
+        opSigmoidDerivative, opLinearRectifierDerivative, opNegativeSine,
         // binary
         opSum, opDifference, opElementwiseProduct, opElementwiseQuotient,
         opLogSum, opMax, opMin,
         opEQ, opNE, opGT, opLT, opGE, opLE,
+        opAnd, opOr, opXor,
         opMaskNegative,
+        opElementwiseProductWithSigmoidDerivative/* a * dsigmoid/dx(b) */, opElementwiseProductWithTanhDerivative, opElementwiseProductWithExp,
+        opElementwiseProductWithLinearRectifierDerivative, opElementwiseProductWithCosDerivative,
         // ternary
-        opCond
-        // Note: not all of the above are actually implement at present; and not all that's implemented has an opcode.
+        opCond/*a ? b : c*/, opClip/*clip a within interval b..c*/
+        // Note: not all that's implemented in CNTK ComputationNodes has an opcode yet.
     };
 
     // helper to apply a C macro for all operations of each kind
+#define ForAllNullaryOps(Macro) \
+    Macro(ConstOne);
+
 #define ForAllUnaryOps(Macro) \
     Macro(Copy); \
     Macro(Negate); Macro(Not); \
     Macro(Abs); \
-    Macro(Sigmoid); Macro(SigmoidDerivative); Macro(Tanh); Macro(Sqrt); Macro(Exp); Macro(Log); Macro(LinearRectifierDerivative); Macro(Cosine); Macro(NegativeSine);
-
-#define ForAllParameterizedUnaryOps(Macro) \
-    Macro(SaturateBetaAlpha); Macro(SumAlpha); Macro(SubDifferenceToAlpha); Macro(SubDifferenceFromAlpha);
+    Macro(Sigmoid); Macro(Tanh); Macro(Sqrt); Macro(Exp); Macro(Log); Macro(LinearRectifier); Macro(Cosine);
 
 #define ForAllBinaryOps(Macro) \
     Macro(Sum); Macro(Difference); Macro(ElementwiseProduct); Macro(ElementwiseQuotient); \
     Macro(LogSum); Macro(Max); Macro(Min); \
     Macro(EQ); Macro(NE); Macro(GT); Macro(LT); Macro(GE); Macro(LE); \
-    Macro(MaskNegative);
+    Macro(And); Macro(Or); Macro(Xor);\
+    Macro(MaskNegative); \
+    Macro(ElementwiseProductWithSigmoidDerivative); Macro(ElementwiseProductWithTanhDerivative); Macro(ElementwiseProductWithExp); \
+    Macro(ElementwiseProductWithLinearRectifierDerivative); Macro(ElementwiseProductWithCosDerivative);
 
 #define ForAllTernaryOps(Macro) \
-    Macro(Cond);
+    Macro(Cond); Macro(Clip);
 
     // -----------------------------------------------------------------------
     // various enums to describe 
diff --git a/Source/Math/ConvolutionEngine.cpp b/Source/Math/ConvolutionEngine.cpp
index 1a8c2f963..fb3af597c 100644
--- a/Source/Math/ConvolutionEngine.cpp
+++ b/Source/Math/ConvolutionEngine.cpp
@@ -265,7 +265,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             assert(outT.w() * outT.h() * outT.c() == out.GetNumRows());
             assert(outT.n() == out.GetNumCols());
 
-            Mat o = out.ColumnSlice(0, out.GetNumCols());
+            Mat o = out.ColumnSlice(0, out.GetNumCols());   // same as .AsReference()
             Mat d = dst.Reshaped(biasT.c(), outT.w() * outT.h() * outT.n());
             d.AssignSumOf(o.Reshaped(biasT.c(), outT.w() * outT.h() * outT.n()), bias);
         }
@@ -436,23 +436,30 @@ namespace Microsoft { namespace MSR { namespace CNTK {
     };
 
     template<class ElemType>
-    std::unique_ptr<ConvolutionEngineFactory<ElemType>> ConvolutionEngineFactory<ElemType>::Create(DEVICEID_TYPE deviceId, EngineType engType)
+    std::unique_ptr<ConvolutionEngineFactory<ElemType>> ConvolutionEngineFactory<ElemType>::Create(DEVICEID_TYPE deviceId, EngineType engType, ImageLayoutKind imageLayoutKind)
     {
         if (engType == EngineType::Auto)
         {
             // REVIEW alexeyk: make cuDNN default when running on GPU and compiled with cuDNN, add config parameter to enable runtime switch between implementations.
-            if (deviceId >= 0 && CuDnnConvolutionEngineFactory<ElemType>::IsSupported(deviceId))
-                return std::make_unique<CuDnnConvolutionEngineFactory<ElemType>>();
-            return std::make_unique<DefaultConvolutionEngineFactory<ElemType>>();
+            if (deviceId >= 0 && CuDnnConvolutionEngineFactory<ElemType>::IsSupported(deviceId) && imageLayoutKind == ImageLayoutKind::CHW)
+                return Create(deviceId, EngineType::CuDnn, imageLayoutKind);
+            else
+                return Create(deviceId, EngineType::Legacy, imageLayoutKind);
         }
         else if (engType == EngineType::CuDnn)
         {
+            if (imageLayoutKind != ImageLayoutKind::CHW)
+                InvalidArgument("ConvolutionEngineFactory: ImageLayout '%s' is not compatible with the cuDNN engine.", ToString(imageLayoutKind).c_str());
             if (deviceId >= 0 && CuDnnConvolutionEngineFactory<ElemType>::IsSupported(deviceId))
                 return std::make_unique<CuDnnConvolutionEngineFactory<ElemType>>();
             RuntimeError("cuDNN convolution engine is not supported, check the device id and whether the code was compiled with cuDNN.");
         }
         else if (engType == EngineType::Legacy)
+        {
+            if (imageLayoutKind != ImageLayoutKind::HWC)
+                InvalidArgument("ConvolutionEngineFactory: ImageLayout '%s' is not compatible with the legacy convolution engine.", ToString(imageLayoutKind).c_str());
             return std::make_unique<DefaultConvolutionEngineFactory<ElemType>>();
+        }
 
         RuntimeError("Not supported convolution engine type: %d.", engType);
     }
diff --git a/Source/Math/ConvolutionEngine.h b/Source/Math/ConvolutionEngine.h
index 05da04b5b..a5b7bd2db 100644
--- a/Source/Math/ConvolutionEngine.h
+++ b/Source/Math/ConvolutionEngine.h
@@ -18,6 +18,7 @@
 #endif
 
 #include "Matrix.h"
+#include "DataTensor.h" // for ImageLayoutKind
 
 namespace Microsoft { namespace MSR { namespace CNTK {
 
@@ -252,7 +253,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         virtual PoolEnginePtr CreatePoolEngine(DEVICEID_TYPE deviceId) = 0;
 
         enum class EngineType { Auto, CuDnn, Legacy };
-        static std::unique_ptr<ConvolutionEngineFactory<ElemType>> Create(DEVICEID_TYPE deviceId, EngineType engType = EngineType::Auto);
+        static std::unique_ptr<ConvolutionEngineFactory<ElemType>> Create(DEVICEID_TYPE deviceId, EngineType engType, ImageLayoutKind imageLayoutKind);
 
     public:
         ConvolutionEngineFactory(const ConvolutionEngineFactory&) = delete;
diff --git a/Source/Math/CuDnnConvolutionEngine.cpp b/Source/Math/CuDnnConvolutionEngine.cpp
index 3e8cbb8f1..ae9336d56 100644
--- a/Source/Math/CuDnnConvolutionEngine.cpp
+++ b/Source/Math/CuDnnConvolutionEngine.cpp
@@ -10,11 +10,7 @@
 #ifdef USE_CUDNN
 #include <cudnn.h>
 
-template<> const char* CudaErrString(cudnnStatus_t x)
-{
-    return cudnnGetErrorString(x);
-}
-#define CUDNN_CALL(expr)     (CudaCall((expr), #expr, "cuDNN", CUDNN_STATUS_SUCCESS))
+template<> const char* CudaErrString<cudnnStatus_t>(cudnnStatus_t x) { return cudnnGetErrorString(x); }
 
 // A note on the formats: CNTK originally used NHWC for input/output tensors and CHWN for filters.
 // Such formats have very limited support in cuDNN and not used in other frameworks.
diff --git a/Source/Math/GPUMatrix.cu b/Source/Math/GPUMatrix.cu
index 8e88e3351..4e064e734 100644
--- a/Source/Math/GPUMatrix.cu
+++ b/Source/Math/GPUMatrix.cu
@@ -5,25 +5,27 @@
 //
 
 #include "stdafx.h"
+#include "Basics.h"
 #include "BestGpu.h"
 #include "DebugUtil.h"
 
 #ifndef CPUONLY
 
-#include "cublas_v2.h"
-#include "Basics.h"
 #include "GPUMatrix.h"
 #include "GPUMatrixCUDAKernels.cuh"
 #include "GPUSparseMatrix.h"
+#include "GPUTensor.h"
 #include "CommonMatrix.h"
 #define TENSOR_OPS_DECL __device__ __host__
 #include "TensorOps.h"
 #include "device_launch_parameters.h"
-#include <assert.h>
 #include <cuda.h>
 #include <cuda_runtime.h>
 #include <curand.h>
 #include <curand_kernel.h>
+#include "cublas_v2.h"
+#include <assert.h>
+#include <memory>
 
 #pragma comment (lib, "cudart.lib")     // instruct linker to reference these libs
 #pragma comment (lib, "cublas.lib")
@@ -47,8 +49,6 @@ bool do_sync = true;
 #ifdef _WIN32
 // thread local storage to access the current stream, initalize to default stream
 __declspec (thread)
-#else
-static
 #endif
 cudaStream_t t_stream = cudaStreamDefault;
 
@@ -78,9 +78,9 @@ cudaStream_t MATH_API GetStream()
     performElementWiseFunction(ElementWiseOperator::op##f, a.m_pArray); \
     return *this; }
 
-static const char * CudaErrString(cudaError_t x)  { cudaDeviceSynchronize(); return cudaGetErrorString(x); }
-static const char * CudaErrString(cublasStatus_t) { cudaDeviceSynchronize(); return "(see cublas_api.h & look for cublasStatus_t or CUBLAS_STATUS_xxx)"; }
-static const char * CudaErrString(curandStatus)   { cudaDeviceSynchronize(); return "(see curand.h & look for curandStatus or CURAND_STATUS_xxx)"; }
+template<> const char * CudaErrString<cudaError_t>(cudaError_t x)     { cudaDeviceSynchronize(); return cudaGetErrorString(x); }
+template<> const char * CudaErrString<cublasStatus_t>(cublasStatus_t) { cudaDeviceSynchronize(); return "(see cublas_api.h & look for cublasStatus_t or CUBLAS_STATUS_xxx)"; }
+template<> const char * CudaErrString<curandStatus>(curandStatus)     { cudaDeviceSynchronize(); return "(see curand.h & look for curandStatus or CURAND_STATUS_xxx)"; }
 
 namespace Microsoft { namespace MSR { namespace CNTK {
 
@@ -384,7 +384,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
 
 #pragma region Constructors and Destructor
 
-   //should only be used by constructors.
+    // should only be used by constructors
     template<class ElemType>
     void GPUMatrix<ElemType>::ZeroInit(int deviceId)
     {
@@ -449,13 +449,13 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         m_numRows = moveFrom.m_numRows;
         m_numCols = moveFrom.m_numCols;
         m_computeDevice = moveFrom.m_computeDevice;
-        m_pArray = moveFrom.m_pArray;  //shallow copy the pointer       
+        m_pArray = moveFrom.m_pArray;  // shallow copy the pointer       
         m_matrixName=moveFrom.m_matrixName;
         m_elemSizeAllocated = moveFrom.m_elemSizeAllocated;
         m_format = moveFrom.m_format;
         m_externalBuffer = moveFrom.m_externalBuffer;
 
-        //release the pointer from the source object so that the destructor won't release it twice
+        // release the pointer from the source object so that the destructor won't release it twice
         moveFrom.ZeroInit(0);       
     }
 
@@ -477,10 +477,8 @@ namespace Microsoft { namespace MSR { namespace CNTK {
     {
         if (this != &moveFrom)
         {
-            if (OwnBuffer() && m_pArray!=NULL)
-            {
+            if (OwnBuffer() && m_pArray)
                 CUDA_CALL(cudaFree(m_pArray));  
-            }
 
             m_numRows = moveFrom.m_numRows;
             m_numCols = moveFrom.m_numCols;
@@ -500,8 +498,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
     GPUMatrix<ElemType>::~GPUMatrix(void)
     {
         Clear();
-        if (m_workspace != nullptr)
-            delete m_workspace;
+        delete m_workspace;
     }
 
     template<class ElemType>
@@ -1960,7 +1957,13 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         PrepareDevice();
         cudaEvent_t done = nullptr;
         if (do_sync)    CUDA_CALL(cudaEventCreate(&done));
+        // _elementWIseSigmoidOnCuda has an implementation that avoids possible overflow errors, but is slightly slower and may have an accuracy regression.
+        // We have a new implementation that is non-branching (yay!) that Frank will check in.
+#if 0
+        _elementWiseSigmoidOnCuda<<<blocksPerGrid, threadsPerBlock, 0, t_stream>>>(a.m_pArray, m_pArray, N);
+#else
         _assignSigmoidOf<<<blocksPerGrid,GridDim::maxThreadsPerBlock,0,t_stream>>>(a.m_pArray,m_pArray,N);
+#endif
         if (do_sync)    CUDA_CALL(cudaEventRecord(done));        
         if (do_sync)    CUDA_CALL(cudaEventSynchronize(done));
         if (do_sync)    CUDA_CALL(cudaEventDestroy(done));
@@ -2213,19 +2216,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
     template<class ElemType>
     GPUMatrix<ElemType>& GPUMatrix<ElemType>::InplaceTruncateBottom (const ElemType threshold)
     {
-        if (IsEmpty())
-            LogicError("InplaceTruncateBottom: Matrix is empty.");    
-
-        CUDA_LONG N=(CUDA_LONG)GetNumElements();
-        int blocksPerGrid =(int)ceil(N*1.0/GridDim::maxThreadsPerBlock); 
-        PrepareDevice();
-        cudaEvent_t done = nullptr;
-        if (do_sync)    CUDA_CALL(cudaEventCreate(&done));        
-        _inplaceTruncateBottom<ElemType><<<blocksPerGrid,GridDim::maxThreadsPerBlock,0,t_stream>>>(m_pArray,threshold,N);
-        if (do_sync)    CUDA_CALL(cudaEventRecord(done));        
-        if (do_sync)    CUDA_CALL(cudaEventSynchronize(done)); 
-        if (do_sync)    CUDA_CALL(cudaEventDestroy(done));
-        return *this;
+        return AssignTruncateBottomOf(*this, threshold);
     }
 
     template<class ElemType>
@@ -2255,18 +2246,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
     template<class ElemType>
     GPUMatrix<ElemType>& GPUMatrix<ElemType>::InplaceTruncateTop (const ElemType threshold)
     {
-        if (IsEmpty())
-            LogicError("InplaceTruncateTop: Matrix is empty.");
-        CUDA_LONG N=(CUDA_LONG)GetNumElements();
-        int blocksPerGrid =(int)ceil(N*1.0/GridDim::maxThreadsPerBlock);      
-        PrepareDevice();
-        cudaEvent_t done = nullptr;
-        if (do_sync)    CUDA_CALL(cudaEventCreate(&done));        
-        _inplaceTruncateTop<ElemType><<<blocksPerGrid,GridDim::maxThreadsPerBlock,0,t_stream>>>(m_pArray,threshold,N);
-        if (do_sync)    CUDA_CALL(cudaEventRecord(done));        
-        if (do_sync)    CUDA_CALL(cudaEventSynchronize(done)); 
-        if (do_sync)    CUDA_CALL(cudaEventDestroy(done));
-        return *this;        
+        return AssignTruncateTopOf(*this, threshold);
     }
 
     template<class ElemType>
@@ -3276,6 +3256,16 @@ namespace Microsoft { namespace MSR { namespace CNTK {
 #pragma endregion Other helper functions
 
 #pragma region Static BLAS Functions
+    // float/double overloads of cublasSgemm()/cublasDgemm()
+    static cublasStatus_t cublas_gemm(cublasHandle_t handle, cublasOperation_t transa, cublasOperation_t transb, int m, int n, int k, const float *alpha, const float *A, int lda, const float *B, int ldb, const float *beta, float *C, int ldc)
+    {
+        return cublasSgemm(handle, transa, transb, m, n, k, alpha, A, lda, B, ldb, beta, C, ldc);
+    }
+    static cublasStatus_t cublas_gemm(cublasHandle_t handle, cublasOperation_t transa, cublasOperation_t transb, int m, int n, int k, const double *alpha, const double *A, int lda, const double *B, int ldb, const double *beta, double *C, int ldc)
+    {
+        return cublasDgemm(handle, transa, transb, m, n, k, alpha, A, lda, B, ldb, beta, C, ldc);
+    }
+
     template<class ElemType>
     void GPUMatrix<ElemType>::MultiplyAndWeightedAdd(ElemType alpha, const GPUMatrix<ElemType>& a, const bool transposeA, const GPUMatrix<ElemType>& b, const bool transposeB, 
         ElemType beta, GPUMatrix<ElemType>& c)
@@ -3295,28 +3285,13 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         if (beta == 0)
             c.Resize(m,n);
         else
-            c.VerifySize(m, n); // Can't resize if beta != 0
+            c.VerifySize(m, n);     // Can't resize if beta != 0
 
         if (!(m>0 && k>0 && l>0 && n>0)) 
-        {
             RuntimeError("!(m>0 && k>0 && l>0 && n>0)");  //converting from size_t to int may cause overflow
-        }
         if (k!=l) 
-        {
             RuntimeError("matrix dim mismatch in MultiplyAndWeightedAdd");
-        }
-        if (sizeof(ElemType)==sizeof(float))
-        {
-            CUBLAS_CALL(cublasSgemm(cuHandle,transA,transB,m,n,k,reinterpret_cast<float*>(&alpha),reinterpret_cast<float*>(a.m_pArray),(int)a.m_numRows,reinterpret_cast<float*>(b.m_pArray),(int)b.m_numRows,reinterpret_cast<float*>(&beta),reinterpret_cast<float*>(c.m_pArray),(int)c.m_numRows));
-        }
-        else if (sizeof(ElemType)==sizeof(double))
-        {            
-            CUBLAS_CALL(cublasDgemm(cuHandle,transA,transB,m,n,k,reinterpret_cast<double*>(&alpha),reinterpret_cast<double*>(a.m_pArray),(int)a.m_numRows,reinterpret_cast<double*>(b.m_pArray),(int)b.m_numRows,reinterpret_cast<double*>(&beta),reinterpret_cast<double*>(c.m_pArray),(int)c.m_numRows));
-        }
-        else 
-        {
-            RuntimeError("Unsupported template argument in GPUMatrix");             
-        }
+        CUBLAS_CALL(cublas_gemm(cuHandle, transA, transB, m, n, k, &alpha, a.m_pArray, (int)a.m_numRows, b.m_pArray, (int)b.m_numRows, &beta, c.m_pArray, (int)c.m_numRows));
         c.m_numRows=m;
         c.m_numCols=n;
     }
@@ -4176,138 +4151,136 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         return *this;
     }
 
-	template<class ElemType>
-	void GPUMatrix<ElemType>::InnerProductWithShiftNeg(const GPUMatrix<ElemType>& a, const GPUMatrix<ElemType>& b, GPUMatrix<ElemType>& c, const size_t shift, const size_t nt)
-	{
-		if (a.GetComputeDeviceId() != b.GetComputeDeviceId() || b.GetComputeDeviceId() != c.GetComputeDeviceId()) //different GPUs
-			InvalidArgument("All matrices must be on the same GPU");
+    template<class ElemType>
+    void GPUMatrix<ElemType>::InnerProductWithShiftNeg(const GPUMatrix<ElemType>& a, const GPUMatrix<ElemType>& b, GPUMatrix<ElemType>& c, const size_t shift, const size_t nt)
+    {
+        if (a.GetComputeDeviceId() != b.GetComputeDeviceId() || b.GetComputeDeviceId() != c.GetComputeDeviceId()) //different GPUs
+            InvalidArgument("All matrices must be on the same GPU");
 
-		if (a.IsEmpty() || b.IsEmpty())
-			LogicError("Scale:  one of the input matrices is empty.");
+        if (a.IsEmpty() || b.IsEmpty())
+            LogicError("Scale:  one of the input matrices is empty.");
 
-		const int m = (int)a.GetNumRows();
-		const int n = (int)a.GetNumCols();
-		const int k = (int)b.GetNumRows();
-		const int l = (int)b.GetNumCols();
+        const int m = (int)a.GetNumRows();
+        const int n = (int)a.GetNumCols();
+        const int k = (int)b.GetNumRows();
+        const int l = (int)b.GetNumCols();
 
-		assert(m>0 && n>0 && k>0 && l>0); //converting from size_t to int may cause overflow
-		assert(m == k && n == l); //converting from size_t to int may cause overflow
-		if (m != k || n != l)
-			InvalidArgument("Matrices a and b should have same dimension.");
+        assert(m > 0 && n > 0 && k > 0 && l > 0); //converting from size_t to int may cause overflow
+        assert(m == k && n == l); //converting from size_t to int may cause overflow
+        if (m != k || n != l)
+            InvalidArgument("Matrices a and b should have same dimension.");
 
-		c.Resize(nt + 1, n);
+        c.Resize(nt + 1, n);
 
-		if (true)
-		{
+        if (true)
+        {
             cudaEvent_t done = nullptr;;
-			c.PrepareDevice();
+            c.PrepareDevice();
 
-			dim3 thread_tail(DEFAULT_THREAD_PER_DIM, DEFAULT_THREAD_PER_DIM);
-			dim3 block_tail((nt + 1 + DEFAULT_THREAD_PER_DIM - 1) / DEFAULT_THREAD_PER_DIM, (n + DEFAULT_THREAD_PER_DIM - 1) / DEFAULT_THREAD_PER_DIM);
+            dim3 thread_tail(DEFAULT_THREAD_PER_DIM, DEFAULT_THREAD_PER_DIM);
+            dim3 block_tail((nt + 1 + DEFAULT_THREAD_PER_DIM - 1) / DEFAULT_THREAD_PER_DIM, (n + DEFAULT_THREAD_PER_DIM - 1) / DEFAULT_THREAD_PER_DIM);
 
 
-			if (do_sync)    CUDA_CALL(cudaEventCreate(&done));
-			_innerProductWithShiftNeg<ElemType> << <block_tail, thread_tail, 0, t_stream >> >(c.m_pArray, a.m_pArray, b.m_pArray, m, n, shift, nt + 1);
-			if (do_sync)    CUDA_CALL(cudaEventRecord(done));
-			if (do_sync)    CUDA_CALL(cudaEventSynchronize(done));
-			if (do_sync)    CUDA_CALL(cudaEventDestroy(done));
-		}
-	}
+            if (do_sync)    CUDA_CALL(cudaEventCreate(&done));
+            _innerProductWithShiftNeg<ElemType> << <block_tail, thread_tail, 0, t_stream >> >(c.m_pArray, a.m_pArray, b.m_pArray, m, n, shift, nt + 1);
+            if (do_sync)    CUDA_CALL(cudaEventRecord(done));
+            if (do_sync)    CUDA_CALL(cudaEventSynchronize(done));
+            if (do_sync)    CUDA_CALL(cudaEventDestroy(done));
+        }
+    }
 
-	template<class ElemType>
-	GPUMatrix<ElemType>& GPUMatrix<ElemType>::GetARowByIndex(const GPUMatrix<ElemType>& a, const size_t m)
-	{
-		if (a.IsEmpty())
-			LogicError("GetARowByIndex: Matrix is empty.");
+    template<class ElemType>
+    GPUMatrix<ElemType>& GPUMatrix<ElemType>::GetARowByIndex(const GPUMatrix<ElemType>& a, const size_t m)
+    {
+        if (a.IsEmpty())
+            LogicError("GetARowByIndex: Matrix is empty.");
 
-		Resize(1, a.GetNumCols());
+        Resize(1, a.GetNumCols());
 
-		int n = a.GetNumRows();
-		int P = a.GetNumCols();
+        int n = a.GetNumRows();
+        int P = a.GetNumCols();
 
-		if (m >= n)
-			LogicError("GetARowByIndex: m is out of range.");
+        if (m >= n)
+            LogicError("GetARowByIndex: m is out of range.");
 
 
-		int blocksPerGrid = (int)ceil(((double)P) / GridDim::maxThreadsPerBlock);
+        int blocksPerGrid = (int)ceil(((double)P) / GridDim::maxThreadsPerBlock);
 
-		a.PrepareDevice();
+        a.PrepareDevice();
         cudaEvent_t done = nullptr;;
-		if (do_sync)    CUDA_CALL(cudaEventCreate(&done));
-		_getARowByIndex<ElemType> << <blocksPerGrid, GridDim::maxThreadsPerBlock, 0, t_stream >> >(m_pArray, a.m_pArray, n, P, m);
-		//		_assignElementProductOf<ElemType> << <block_tail, thread_tail, 0, t_stream >> >(m_pArray, a.m_pArray, b.m_pArray, nt);
+        if (do_sync)    CUDA_CALL(cudaEventCreate(&done));
+        _getARowByIndex<ElemType> << <blocksPerGrid, GridDim::maxThreadsPerBlock, 0, t_stream >> >(m_pArray, a.m_pArray, n, P, m);
+        //		_assignElementProductOf<ElemType> << <block_tail, thread_tail, 0, t_stream >> >(m_pArray, a.m_pArray, b.m_pArray, nt);
 
-		if (do_sync)    CUDA_CALL(cudaEventRecord(done));
-		if (do_sync)    CUDA_CALL(cudaEventSynchronize(done));
-		if (do_sync)    CUDA_CALL(cudaEventDestroy(done));
-		return *this;
-	}
+        if (do_sync)    CUDA_CALL(cudaEventRecord(done));
+        if (do_sync)    CUDA_CALL(cudaEventSynchronize(done));
+        if (do_sync)    CUDA_CALL(cudaEventDestroy(done));
+        return *this;
+    }
 
 
-	template<class ElemType>
-	void GPUMatrix<ElemType>::ConductRowElementMultiplyWithShift(const GPUMatrix<ElemType>& a, const GPUMatrix<ElemType>& b, GPUMatrix<ElemType>& c, const size_t shift, const bool isafixed)
-	{
-		if (a.GetComputeDeviceId() != b.GetComputeDeviceId() || b.GetComputeDeviceId() != c.GetComputeDeviceId()) //different GPUs
-			InvalidArgument("All matrices must be on the same GPU");
+    template<class ElemType>
+    void GPUMatrix<ElemType>::ConductRowElementMultiplyWithShift(const GPUMatrix<ElemType>& a, const GPUMatrix<ElemType>& b, GPUMatrix<ElemType>& c, const size_t shift, const bool isafixed)
+    {
+        if (a.GetComputeDeviceId() != b.GetComputeDeviceId() || b.GetComputeDeviceId() != c.GetComputeDeviceId()) //different GPUs
+            InvalidArgument("All matrices must be on the same GPU");
 
-		if (a.IsEmpty() || b.IsEmpty())
-			LogicError("Scale:  one of the input matrices is empty.");
+        if (a.IsEmpty() || b.IsEmpty())
+            LogicError("Scale:  one of the input matrices is empty.");
 
-		const int m = (int)a.GetNumRows();
-		const int n = (int)a.GetNumCols();
-		const int O = (int)b.GetNumRows();
-		const int P = (int)b.GetNumCols();
+        const int m = (int)a.GetNumRows();
+        const int n = (int)a.GetNumCols();
+        const int O = (int)b.GetNumRows();
+        const int P = (int)b.GetNumCols();
 
-		assert(m>0 && n>0 && O>0 && P>0); //converting from size_t to int may cause overflow
-		if (m != 1 || n != P)
-			InvalidArgument("Matrices a and b should have same dimension.");
+        assert(m > 0 && n > 0 && O > 0 && P > 0); //converting from size_t to int may cause overflow
+        if (m != 1 || n != P)
+            InvalidArgument("Matrices a and b should have same dimension.");
 
-		c.Resize(O, P);
+        c.Resize(O, P);
 
-		if (true)
-		{
+        if (true)
+        {
             cudaEvent_t done = nullptr;;
-			c.PrepareDevice();
+            c.PrepareDevice();
 
-			dim3 thread_tail(DEFAULT_THREAD_PER_DIM, DEFAULT_THREAD_PER_DIM);
-			dim3 block_tail((O + DEFAULT_THREAD_PER_DIM - 1) / DEFAULT_THREAD_PER_DIM, (P + DEFAULT_THREAD_PER_DIM - 1) / DEFAULT_THREAD_PER_DIM);
+            dim3 thread_tail(DEFAULT_THREAD_PER_DIM, DEFAULT_THREAD_PER_DIM);
+            dim3 block_tail((O + DEFAULT_THREAD_PER_DIM - 1) / DEFAULT_THREAD_PER_DIM, (P + DEFAULT_THREAD_PER_DIM - 1) / DEFAULT_THREAD_PER_DIM);
 
 
-			if (do_sync)    CUDA_CALL(cudaEventCreate(&done));
-			_conductRowElementMultiplyWithShift<ElemType> << <block_tail, thread_tail, 0, t_stream >> >(c.m_pArray, a.m_pArray, b.m_pArray, O, P, shift, isafixed);
-			if (do_sync)    CUDA_CALL(cudaEventRecord(done));
-			if (do_sync)    CUDA_CALL(cudaEventSynchronize(done));
-			if (do_sync)    CUDA_CALL(cudaEventDestroy(done));
-		}
-	}
+            if (do_sync)    CUDA_CALL(cudaEventCreate(&done));
+            _conductRowElementMultiplyWithShift<ElemType> << <block_tail, thread_tail, 0, t_stream >> >(c.m_pArray, a.m_pArray, b.m_pArray, O, P, shift, isafixed);
+            if (do_sync)    CUDA_CALL(cudaEventRecord(done));
+            if (do_sync)    CUDA_CALL(cudaEventSynchronize(done));
+            if (do_sync)    CUDA_CALL(cudaEventDestroy(done));
+        }
+    }
 
+    template<class ElemType>
+    GPUMatrix<ElemType>& GPUMatrix<ElemType>::AssignElementProductOfWithShift(const GPUMatrix<ElemType>& a, const GPUMatrix<ElemType>& b, const size_t shift)
+    {
+        if (a.IsEmpty() || b.IsEmpty())
+            LogicError("AssignElementProductOfWithShift: Matrix is empty.");
 
+        assert(a.GetNumRows() == b.GetNumRows() && a.GetNumCols() == b.GetNumCols());
+        if (!(a.GetNumRows() == b.GetNumRows() && a.GetNumCols() == b.GetNumCols()))
+            InvalidArgument("The input matrix dimensions do not match.");
 
-	template<class ElemType>
-	GPUMatrix<ElemType>& GPUMatrix<ElemType>::AssignElementProductOfWithShift(const GPUMatrix<ElemType>& a, const GPUMatrix<ElemType>& b, const size_t shift)
-	{
-		if (a.IsEmpty() || b.IsEmpty())
-			LogicError("AssignElementProductOfWithShift: Matrix is empty.");
+        //int O = a.GetNumRows();
+        int P = a.GetNumCols();
 
-		assert(a.GetNumRows() == b.GetNumRows() && a.GetNumCols() == b.GetNumCols());
-		if (!(a.GetNumRows() == b.GetNumRows() && a.GetNumCols() == b.GetNumCols()))
-			InvalidArgument("The input matrix dimensions do not match.");
-
-		//int O = a.GetNumRows();
-		int P = a.GetNumCols();
-
-		Resize(1, P);
-		CUDA_LONG N = (CUDA_LONG)GetNumElements();
-		int blocksPerGrid = (int)ceil(((double)N) / GridDim::maxThreadsPerBlock);
-		a.PrepareDevice();
+        Resize(1, P);
+        CUDA_LONG N = (CUDA_LONG)GetNumElements();
+        int blocksPerGrid = (int)ceil(((double)N) / GridDim::maxThreadsPerBlock);
+        a.PrepareDevice();
         cudaEvent_t done = nullptr;;
-		if (do_sync)    CUDA_CALL(cudaEventCreate(&done));
-		_assignElementProductOfWithShift<ElemType> << <blocksPerGrid, GridDim::maxThreadsPerBlock, 0, t_stream >> >(m_pArray, a.m_pArray, b.m_pArray, shift, N);
-		if (do_sync)    CUDA_CALL(cudaEventRecord(done));
-		if (do_sync)    CUDA_CALL(cudaEventSynchronize(done));
-		if (do_sync)    CUDA_CALL(cudaEventDestroy(done));
-		return *this;
-	}
+        if (do_sync)    CUDA_CALL(cudaEventCreate(&done));
+        _assignElementProductOfWithShift<ElemType> << <blocksPerGrid, GridDim::maxThreadsPerBlock, 0, t_stream >> >(m_pArray, a.m_pArray, b.m_pArray, shift, N);
+        if (do_sync)    CUDA_CALL(cudaEventRecord(done));
+        if (do_sync)    CUDA_CALL(cudaEventSynchronize(done));
+        if (do_sync)    CUDA_CALL(cudaEventDestroy(done));
+        return *this;
+    }
 
     //sequence training
     template<class ElemType>
@@ -4455,366 +4428,87 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         CUDA_CALL(cudaFree(d_zeta));
     };
 
-    // =======================================================================
-    // TensorView support
-    // =======================================================================
-
-    // BUGBUG: This is a stub that currently is just the CPU code. This is not functional yet.
-
-    // To save time, this makes extensive use of templates and macros.
-
     // -----------------------------------------------------------------------
-    // simple fixed-size arrays for passing dimension information by value
-    // since CUDA can't just take our std::array and std::vector
-    // -----------------------------------------------------------------------
-
-    template<typename T, size_t N>
-    struct FixedArray
-    {
-        T m_data[N];
-        __device__ __host__ size_t size() const { return N; }
-        __device__ __host__ T & operator[](size_t n)       { return m_data[n]; }
-        __device__ __host__ T   operator[](size_t n) const { return m_data[n]; }
-        template<class VEC> FixedArray(const VEC & data)    // construct from CPU-side STL array or vector
-        {
-            assert(data.size() == N);
-            for (size_t n = 0; n < N; n++)
-            {
-                m_data[n] = (T)data[n];
-                if (m_data[n] != data[n])   // overflow check
-                    InvalidArgument("FixedArray: Dimensions out of range, too few bits.");
-            }
-        }
-    };
-    template<typename T>        // specialized version for 0 elements
-    struct FixedArray<T, 0>
-    {
-        __device__ __host__ size_t size() const { return 0; }
-        template<class VEC> FixedArray(const VEC & data) { assert(data.size() == 0); UNUSED(data); }
-    };
-
-    template<typename T, size_t N, size_t K>    // N = which input/output; K = index depth
-    struct FixedMatrix
-    {
-        T m_data[N][K];
-        __device__ __host__ size_t getNumRows() const { return N; }
-        __device__ __host__ size_t getNumCols() const { return K; }
-        __device__ __host__ T & operator()(size_t n, size_t k)       { return m_data[n][k]; }
-        __device__ __host__ T   operator()(size_t n, size_t k) const { return m_data[n][k]; }
-        template<typename U> FixedMatrix(const array<vector<U>, N> & data)  // construct from CPU-side array of vectors
-        {
-            assert(data.size() == N);
-            for (size_t n = 0; n < N; n++)
-            {
-                assert(data[n].size() == K);
-                for (size_t k = 0; k < K; k++)
-                {
-                    m_data[n][k] = (T)data[n][k];
-                    if (m_data[n][k] != data[n][k])   // overflow check
-                        InvalidArgument("FixedArray: Dimensions out of range, too few bits.");
-                }
-            }
-        }
-    };
-    template<typename T, size_t N>        // specialized version for 0 elements
-    struct FixedMatrix<T, N, 0>
-    {
-        __device__ __host__ size_t getNumRows() const { return N; }
-        __device__ __host__ size_t getNumCols() const { return 0; }
-        template<typename U> FixedMatrix(const array<vector<U>, N> & data) { assert(data.size() == N); for (size_t n = 0; n < N; n++) assert(data[n].size() == 0); UNUSED(data); }
-    };
-
-    // -----------------------------------------------------------------------
-    // function to actually compute a function of (N-1) inputs based on the opcode
+    // TensorView entry points from Matrix.cpp
     // -----------------------------------------------------------------------
 
+    // helper to provide a vector of ones of at least the given number of elements
+    // TODO: Use this to implement ComputationNode::ConstOnes? Or do we even need that anymore?
     template<class ElemType>
-    struct TensorOps
+    static shared_ptr<GPUMatrix<ElemType>> GetOnesVector(size_t N, DEVICEID_TYPE deviceId)
     {
-        static __device__ ElemType Compute(const FixedArray<ElemType*, 2> & pointers, ElementWiseOperator op)
+        // using an array of shared_ptrs because those are thread-safe. The objects themselves are immutable.
+        // And using a plain array so this will never get freed, avoiding free-after-DLL-unload issues.
+        static shared_ptr<GPUMatrix<ElemType>> onesCache[32];   // cache of objects
+        if (deviceId >= _countof(onesCache))
+            LogicError("GetOnesVector: onesCache[] too small (%d entries), increase (you need %d) and recompile.", (int)_countof(onesCache), (int)deviceId+1);
+        auto p = onesCache[deviceId];
+        if (!p || p->GetNumRows() < N)  // must (re-)allocate
         {
-            ElemType a = *(pointers[0]);
-#define CaseUnaryTensorOp(oper) case ElementWiseOperator::op ## oper: return Op ## oper(a)
-            switch (op)
-            {
-            ForAllUnaryOps(CaseUnaryTensorOp);
-            default: return 0;  // (failure)
-            }
+            p = make_shared<GPUMatrix<ElemType>>(GPUMatrix<ElemType>::Ones(N, 1, deviceId));
+            onesCache[deviceId] = p;    // this will replace the pointer thread-safely (although weird race conditions may happen where a larger entry is overwritten by a smaller one; will still run correctly)
         }
-        static __device__ ElemType Compute(const FixedArray<ElemType*, 3> & pointers, ElementWiseOperator op)
-        {
-            ElemType a = *(pointers[0]);
-            ElemType b = *(pointers[1]);
-#define CaseBinaryTensorOp(oper) case ElementWiseOperator::op ## oper: return Op ## oper(a,b)
-            switch (op)
-            {
-            ForAllBinaryOps(CaseBinaryTensorOp);    // note: this costs about 6% compared to having only a single case
-            default: return 0;  // (failure)
-            }
-        }
-        static __device__ ElemType Compute(const FixedArray<ElemType*, 4> & pointers, ElementWiseOperator op)
-        {
-            ElemType a = *(pointers[0]);
-            ElemType b = *(pointers[1]);
-            ElemType c = *(pointers[2]);
-#define CaseTernaryTensorOp(oper) case ElementWiseOperator::op ## oper: return Op ## oper(a,b,c)
-            switch (op)
-            {
-            ForAllTernaryOps(CaseTernaryTensorOp);
-            default: return 0;  // (failure)
-            }
-        }
-    };
-
-    // -----------------------------------------------------------------------
-    // function to compute the value for a given output location (perform reduction if needed)
-    // -----------------------------------------------------------------------
-
-#define C_size_t       CUDA_LONG
-#define C_int          CUDA_LONG
-#define C_unsigned_int CUDA_LONG
-
-    template<class ElemType, C_size_t N, C_int M, C_int m>
-    struct TensorOpReduce
-    {
-        // this version for m >= 0
-        static __device__ ElemType Compute(FixedArray<ElemType*, N> pointers, ElementWiseOperator op,
-                                           const FixedArray<C_unsigned_int, M> & reducingOpDims, const FixedMatrix<C_int, N, M> & reducingStrides)
-        {
-            // start with index 0
-            // Using 'double' since we are memory-bound anyway.
-            double/*ElemType*/ aggregate = TensorOpReduce<ElemType, N, M, m - 1>::Compute(pointers, op, reducingOpDims, reducingStrides);
-            // apply this index to the pointers
-            C_size_t dim = reducingOpDims[m];
-            for (C_size_t k = 1/*done with k=0 already*/; k < dim; k++)
-            {
-                // bump the pointers
-                for (C_size_t i = 0; i < N; i++)
-                    pointers[i] += reducingStrides(i,(C_size_t)m);
-                ElemType val = TensorOpReduce<ElemType, N, M, m - 1>::Compute(pointers, op, reducingOpDims, reducingStrides);
-                aggregate += val;
-            }
-            return (ElemType)aggregate;
-        }
-    };
-
-    // this one terminates the template recursion over reduction dimensions
-    // The pointers are pointing to the input element.
-    template<class ElemType, C_size_t N, C_int M>
-    struct TensorOpReduce<ElemType, N, M, /*m=*/-1>
-    {
-        // this version for m = -1
-        // the pointers are pointing to the right location(s) to take the operation over
-        static __device__ ElemType Compute(FixedArray<ElemType*, N> pointers, ElementWiseOperator op,
-                                           const FixedArray<C_unsigned_int, M> & /*reducingOpDims*/, const FixedMatrix<C_int, N, M> & /*reducingStrides*/)
-        {
-            return TensorOps<ElemType>::Compute(pointers, op);   // finally computing something!
-        }
-    };
-
-    // -----------------------------------------------------------------------
-    // perform loop over regular index k for N-nary operations (N counting the output)
-    // -----------------------------------------------------------------------
-
-    // The canonical case, vector op without reduction, is this PTX function:
-    // _ZN9Microsoft3MSR4CNTK15_launchTensorOpIfLy3ELi1ELi0EEEvT_NS1_10FixedArrayIPS3_XT0_EEES3_NS1_19ElementWiseOperatorENS4_IjXT2_EEENS1_11FixedMatrixIiXT0_EXT2_EEENS4_IjXT1_EEENS9_IiXT0_EXT1_EEEi
-    //                                   float ^      ^ aggregate loop
-    // _ZN9Microsoft3MSR4CNTK15_launchTensorOpIfLy3ELi0ELi1EEEvT_NS1_10FixedArrayIPS3_XT0_EEES3_NS1_19ElementWiseOperatorENS4_IjXT2_EEENS1_11FixedMatrixIiXT0_EXT2_EEENS4_IjXT1_EEENS9_IiXT0_EXT1_EEEi
-    //                                      args? ^       ^ input dims
-    // _ZN9Microsoft3MSR4CNTK15_launchTensorOpIfLi3ELi0ELi1EEEvT_NS1_10FixedArrayIPS3_XT0_EEES3_NS1_19ElementWiseOperatorENS4_IiXT2_EEENS1_11FixedMatrixIiXT0_EXT2_EEENS4_IiXT1_EEENS9_IiXT0_EXT1_EEEi
-    // I see:
-    //  - C_size_t causes sign extend operations
-
-    // increment a pointer by a number of elements
-    // This will later change into pre-scaled strides.
-    template<class ElemType>
-    static __device__ void IncPtr(ElemType * &p, C_int index, C_int stride)
-    {
-        //p = (ElemType*)(byteOffset + (char *)p);
-        p = p + index * stride;
+        return p;
     }
 
-    // The 'pointers' only refer to a single element, so we will bump them in-place to perform indexing.
-    template<class ElemType, C_size_t N, C_int M, C_int K, C_int k>
-    struct TensorOpElement
-    {
-        // template-recursive version loops over indices
-        static __device__ void Compute(CUDA_LONG id, ElemType beta, FixedArray<ElemType*, N> & pointers, ElemType alpha, ElementWiseOperator op,
-                                       const FixedArray<C_unsigned_int, K> & regularOpStrides,  const FixedMatrix<C_int, N, K> & regularStrides,
-                                       const FixedArray<C_unsigned_int, M> & reducingOpDims, const FixedMatrix<C_int, N, M> & reducingStrides)
-        {
-            // map id (location on grid) to index[k]
-            C_size_t stride = regularOpStrides[(C_size_t)k];
-            C_size_t index = id / stride;             // this dimension
-            id = id % stride;                       // remaining dimensions inside this
-            // apply this index to the pointers
-            for (C_size_t i = 0; i < N; i++)
-                pointers[i] += index * regularStrides(i,(C_size_t)k);    // now this dimension is taken care of
-            // process the previous index
-            TensorOpElement<ElemType, N, M, K, k - 1>::Compute(id, beta, pointers, alpha, op, regularOpStrides, regularStrides, reducingOpDims, reducingStrides);
-        }
-    };
-
-    // specialization for k=0 where stride is guaranteed to be 1
-    template<class ElemType, C_size_t N, C_int M, C_int K>
-    struct TensorOpElement<ElemType, N, M, K, /*k=*/0>
-    {
-        // template-recursive version loops over indices
-        static __device__ void Compute(CUDA_LONG id, ElemType beta, FixedArray<ElemType*, N> & pointers, ElemType alpha, ElementWiseOperator op,
-                                       const FixedArray<C_unsigned_int, K> & regularOpStrides,  const FixedMatrix<C_int, N, K> & regularStrides,
-                                       const FixedArray<C_unsigned_int, M> & reducingOpDims,    const FixedMatrix<C_int, N, M> & reducingStrides)
-        {
-            // map id (location on grid) to index[k]
-            C_size_t index = id;                      // this dimension
-            // apply this index to the pointers
-            for (C_size_t i = 0; i < N; i++)
-                pointers[i] += index * regularStrides(i,0);    // now this dimension is taken care of
-            // process the previous index
-            TensorOpElement<ElemType, N, M, K, -1>::Compute(/*id*/0, beta, pointers, alpha, op, regularOpStrides, regularStrides, reducingOpDims, reducingStrides);
-        }
-    };
-
-    // specialization for k = -1 terminates the template recursion
-    template<class ElemType, C_size_t N, C_int M, C_int K>
-    struct TensorOpElement<ElemType, N, M, K, /*k=*/-1>
-    {
-        // template-recursion-teminating version computes the actual value for this output location
-        // now the pointers point to the right element
-        static __device__ void Compute(CUDA_LONG /*id*/, ElemType beta, FixedArray<ElemType*, N> & pointers, ElemType alpha, ElementWiseOperator op,
-                                       const FixedArray<C_unsigned_int, K> & /*regularOpStrides*/, const FixedMatrix<C_int, N, K> & /*regularStrides*/,
-                                       const FixedArray<C_unsigned_int, M> & reducingOpDims,       const FixedMatrix<C_int, N, M> & reducingStrides)
-        {
-            // compute the operation for this output coordinate
-            // This may still involve a reduction over inverse-broadcasting dimensions.
-            ElemType val = TensorOpReduce<ElemType, N, M, M - 1>::Compute(pointers, op, reducingOpDims, reducingStrides);
-            // scale
-            val *= alpha;
-            // combine with previous value in target matrix, then write it out
-            auto * pout = pointers[N - 1];
-            if (beta != 0)
-                val += beta * *pout;
-            // save
-            *pout = val;
-        }
-    };
-
-    // -----------------------------------------------------------------------
-    // kernel and launch
-    // -----------------------------------------------------------------------
-
-    // the top-level kernel
-    template<class ElemType, C_size_t N, C_int M, C_int K>
-    __global__ void _launchTensorOp(ElemType beta, FixedArray<ElemType*, N> pointers, ElemType alpha, ElementWiseOperator op,
-                                    FixedArray<C_unsigned_int, K> regularOpStrides, FixedMatrix<C_int, N, K> regularStrides,
-                                    FixedArray<C_unsigned_int, M> reducingOpDims,   FixedMatrix<C_int, N, M> reducingStrides, CUDA_LONG numElements)
-    {
-        CUDA_LONG id = GridDim::GetLinearThreadId();   // blockDim.x * blockIdx.x + threadIdx.x;
-        if (id >= numElements)
-            return;
-        TensorOpElement<ElemType, N, M, K, K - 1>::Compute(id, beta, pointers, alpha, op, regularOpStrides, regularStrides, reducingOpDims, reducingStrides);
-    }
-
-    // launch tensor op with CUDA
-    // All dimensions (N-ariness, number of input dimensions K and number of reduction dimensions M) are bound to template parameters now.
-    template<class ElemType, C_size_t N, C_int M, C_int K>
-    static void LaunchTensorOp(ElemType beta, array<ElemType*, N> pointerVector, ElemType alpha, ElementWiseOperator op,
-                               const vector<size_t> & regularOpDims,       const array<vector<ptrdiff_t>, N> & regularStrideVectors,
-                               const vector<size_t> & reducingOpDimVector, const array<vector<ptrdiff_t>, N> & reducingStrideVectors)
-    {
-        // copy all parameters to CUDA-compatible data structures
-        FixedArray<ElemType*, N> pointers(pointerVector);
-        vector<C_size_t> regularOpStrideVector;    // kernel needs the strides for converting thread index back to multi-dimensional tensor index
-        C_size_t numElements = 1;
-        for (C_size_t k = 0; k < regularOpDims.size(); k++)
-        {
-            regularOpStrideVector.push_back(numElements);
-            numElements *= (C_size_t)regularOpDims[k];
-        }
-        FixedArray<C_unsigned_int, K> regularOpStrides(regularOpStrideVector);
-        FixedMatrix<C_int, N, K> regularStrides(regularStrideVectors);
-        FixedArray<C_unsigned_int, M> reducingOpDims(reducingOpDimVector);
-        FixedMatrix<C_int, N, M> reducingStrides(reducingStrideVectors);
-        
-        CUDA_LONG NN = (CUDA_LONG)numElements;
-        cudaEvent_t done = nullptr;
-        if (do_sync)    CUDA_CALL(cudaEventCreate(&done));
-        GridDim grid(NN);
-        _launchTensorOp<ElemType, N, M, K> << <grid.m_blocksPerGrid, grid.m_threadsPerBlock, 0, t_stream >> >(beta, pointers, alpha, op, regularOpStrides, regularStrides, reducingOpDims, reducingStrides, NN);
-        if (do_sync)    CUDA_CALL(cudaEventRecord(done));
-        if (do_sync)    CUDA_CALL(cudaEventSynchronize(done));
-        if (do_sync)    CUDA_CALL(cudaEventDestroy(done));
-    }
-
-    // -----------------------------------------------------------------------
-    // map runtime parameters N to template parameters
-    // -----------------------------------------------------------------------
-
-    // tensor operation with k+1 dimensions (-1 means scalar)
-    template<class ElemType, C_size_t N, C_int K>
-    static void TensorOpWithRegularLoop(ElemType beta, const array<ElemType*, N> & pointers, ElemType alpha, ElementWiseOperator op,
-                                        const vector<size_t> & regularOpDims,  const array<vector<ptrdiff_t>, N> & regularStrides,
-                                        const vector<size_t> & reducingOpDims, const array<vector<ptrdiff_t>, N> & reducingStrides)
-    {
-        size_t dims = reducingOpDims.size();
-        switch (dims)
-        {
-        case 2: return LaunchTensorOp<ElemType, N, 2, K>(beta, pointers, alpha, op, regularOpDims, regularStrides, reducingOpDims, reducingStrides);
-        case 1: return LaunchTensorOp<ElemType, N, 1, K>(beta, pointers, alpha, op, regularOpDims, regularStrides, reducingOpDims, reducingStrides);
-        case 0: return LaunchTensorOp<ElemType, N, 0, K>(beta, pointers, alpha, op, regularOpDims, regularStrides, reducingOpDims, reducingStrides);
-        default: LogicError("TensorOp: %d non-flattened reduction dimensions are not supported.", (C_int)dims);
-        }
-    }
-
-    // tensor operation, generalized in number of arguments
-    // This function now expands into different k. It also eliminates the offsets by adding them to the pointers.
-    template<class ElemType, C_size_t N>
-    static void TensorOpN(ElemType beta, array<ElemType*, N> pointers, ElemType alpha, ElementWiseOperator op,
-                               const array<size_t, N> & offsets,
-                               const vector<size_t> & regularOpDims,  const array<vector<ptrdiff_t>, N> & regularStrides,
-                               const vector<size_t> & reducingOpDims, const array<vector<ptrdiff_t>, N> & reducingStrides)
-    {
-        for (C_size_t i = 0; i < N; i++)  // N = a small constant, this will be unrolled
-            pointers[i] += offsets[i];
-        size_t dims = regularOpDims.size();
-        switch (dims)
-        {
-        case 4: return TensorOpWithRegularLoop<ElemType, N, 4>(beta, pointers, alpha, op, regularOpDims, regularStrides, reducingOpDims, reducingStrides);
-        case 3: return TensorOpWithRegularLoop<ElemType, N, 3>(beta, pointers, alpha, op, regularOpDims, regularStrides, reducingOpDims, reducingStrides);
-        case 2: return TensorOpWithRegularLoop<ElemType, N, 2>(beta, pointers, alpha, op, regularOpDims, regularStrides, reducingOpDims, reducingStrides);
-        case 1: return TensorOpWithRegularLoop<ElemType, N, 1>(beta, pointers, alpha, op, regularOpDims, regularStrides, reducingOpDims, reducingStrides);
-        case 0: return TensorOpWithRegularLoop<ElemType, N, 0>(beta, pointers, alpha, op, regularOpDims, regularStrides, reducingOpDims, reducingStrides);
-        default: LogicError("TensorOp: %d non-flattened input dimensions are not supported.", (C_int)dims);
-        }
-    }
-
-    // -----------------------------------------------------------------------
-    // entry points from Matrix.cpp
-    // -----------------------------------------------------------------------
-
     // perform unary operation 'op' on a giving 'this', reinterpreting the matrices as tensors as specified by the dims and strides
     // This binds the N-ariness to a template parameter N, and gets the data pointers out from the matrix objects.
     template<class ElemType>
     void GPUMatrix<ElemType>::TensorOp(ElemType beta, const GPUMatrix<ElemType>& a, ElemType alpha, ElementWiseOperator op,
                                        const array<size_t, 2> & offsets,
-                                       const vector<size_t> & regularOpDims,  const array<vector<ptrdiff_t>, 2> & regularStrides,
-                                       const vector<size_t> & reducingOpDims, const array<vector<ptrdiff_t>, 2> & reducingStrides)
+                                       const SmallVector<size_t> & regularOpDims,  const array<SmallVector<ptrdiff_t>, 2> & regularStrides,
+                                       const SmallVector<size_t> & reducingOpDims, const array<SmallVector<ptrdiff_t>, 2> & reducingStrides)
     {
         a.PrepareDevice();
         if (a.GetComputeDeviceId() != GetComputeDeviceId())
             InvalidArgument("All matrices must be on the same GPU");
-        return TensorOpN<ElemType, 2>(beta, array<ElemType*, 2> { a.m_pArray, m_pArray }, alpha, op, offsets, regularOpDims, regularStrides, reducingOpDims, reducingStrides);
+
+        // special case: linear processing
+        // The case statement has measurable impact for unary ops (but not for binary ops it seems, due to double mem access).
+        // Linear gap-free unary ops happen so regularly that we will eliminate the case statement from the CUDA kernel, and instead expand all.
+        if (regularOpDims.size() == 1 && regularStrides[0][0] == 1 && regularStrides[1][0] == 1 && reducingOpDims.size() == 0)
+            return LaunchUnaryTensorOp<ElemType>(beta, a.m_pArray + offsets[0], m_pArray + offsets[1], alpha, op, regularOpDims[0]);
+
+        // special case: recuding a matrix onto a column vector; can be done with SGEMM
+        // Note: A minor risk is that with this, our own reduction function will rarely be used.
+        // That function was tested to give the same results with 'double', and nearly the same with 'float' (different summation order matters).
+        else if (op == ElementWiseOperator::opCopy &&                                                       // we are just adding to target without any further operation
+#ifdef _DEBUG
+                 sizeof(ElemType) == sizeof(float) &&                                                       // in debug don't shortcut 'double' so we have some test of our own codepath
+#endif
+                 regularOpDims.size() == 1 && regularStrides[0][0] == 1 && regularStrides[1][0] == 1 &&     // we are processing a column
+                 reducingOpDims.size() == 1 && reducingStrides[0][0] >= (ptrdiff_t)regularOpDims[0])        // reducing across columns and no overlap
+        {
+            assert(reducingStrides[1][0] == 0);
+            auto ARows = regularOpDims[0];              // vertical steps
+            auto ACols = reducingOpDims[0];             // horizontal steps (reduction)
+            auto ALd   = reducingStrides[0][0];         // horizontal step width through matrix
+            cublasHandle_t cuHandle = GetCublasHandle(a.GetComputeDeviceId());
+            CUBLAS_CALL(cublas_gemm(cuHandle, CUBLAS_OP_N, CUBLAS_OP_N, (int)/*CRows=*/ARows, /*CCols=*/1, (int)ACols, &alpha,
+                                     /*A00=*/a.m_pArray + offsets[0], (int)ALd,
+                                     /*B00=*/GetOnesVector<ElemType>(ACols, a.GetComputeDeviceId())->m_pArray, (int)/*BRows=*/ACols, &beta,
+                                     /*C00=*/m_pArray + offsets[1], (int)/*CRows=*/ARows));
+            return;
+        }
+
+        // TODO: Add a special case for tensor bias reduction. cudnn is ~7% faster on Image/QuickE2E.
+
+        // regular case
+        else
+            return TensorOpN<ElemType, 2>(beta, array<ElemType*, 2> { a.m_pArray, m_pArray }, alpha, op, offsets, regularOpDims, regularStrides, reducingOpDims, reducingStrides);
     }
 
     // perform binary operation 'op' on a and b giving 'this', reinterpreting the matrices as tensors as specified by the dims and strides
     template<class ElemType>
     void GPUMatrix<ElemType>::TensorOp(ElemType beta, const GPUMatrix<ElemType>& a, const GPUMatrix<ElemType>& b, ElemType alpha, ElementWiseOperator op,
                                        const array<size_t, 3> & offsets,
-                                       const vector<size_t> & regularOpDims,  const array<vector<ptrdiff_t>, 3> & regularStrides,
-                                       const vector<size_t> & reducingOpDims, const array<vector<ptrdiff_t>, 3> & reducingStrides)
+                                       const SmallVector<size_t> & regularOpDims,  const array<SmallVector<ptrdiff_t>, 3> & regularStrides,
+                                       const SmallVector<size_t> & reducingOpDims, const array<SmallVector<ptrdiff_t>, 3> & reducingStrides)
     {
         a.PrepareDevice();
         if (a.GetComputeDeviceId() != GetComputeDeviceId() || b.GetComputeDeviceId() != GetComputeDeviceId())
             InvalidArgument("All matrices must be on the same GPU");
+
         return TensorOpN<ElemType, 3>(beta, array<ElemType*, 3> { a.m_pArray, b.m_pArray, m_pArray }, alpha, op, offsets, regularOpDims, regularStrides, reducingOpDims, reducingStrides);
     }
 
@@ -4822,8 +4516,8 @@ namespace Microsoft { namespace MSR { namespace CNTK {
     template<class ElemType>
     void GPUMatrix<ElemType>::TensorOp(ElemType beta, const GPUMatrix<ElemType>& a, const GPUMatrix<ElemType>& b, const GPUMatrix<ElemType>& c, ElemType alpha, ElementWiseOperator op,
                                        const array<size_t, 4> & offsets,
-                                       const vector<size_t> & regularOpDims,  const array<vector<ptrdiff_t>, 4> & regularStrides,
-                                       const vector<size_t> & reducingOpDims, const array<vector<ptrdiff_t>, 4> & reducingStrides)
+                                       const SmallVector<size_t> & regularOpDims,  const array<SmallVector<ptrdiff_t>, 4> & regularStrides,
+                                       const SmallVector<size_t> & reducingOpDims, const array<SmallVector<ptrdiff_t>, 4> & reducingStrides)
     {
         a.PrepareDevice();
         if (a.GetComputeDeviceId() != GetComputeDeviceId() || b.GetComputeDeviceId() != GetComputeDeviceId() || c.GetComputeDeviceId() != GetComputeDeviceId())
@@ -4831,7 +4525,6 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         return TensorOpN<ElemType, 4>(beta, array<ElemType*, 4> { a.m_pArray, b.m_pArray, c.m_pArray, m_pArray }, alpha, op, offsets, regularOpDims, regularStrides, reducingOpDims, reducingStrides);
     }
 
-
     // =======================================================================
     // explicit instantiations business
     // =======================================================================
@@ -4842,10 +4535,10 @@ namespace Microsoft { namespace MSR { namespace CNTK {
     template class DeviceBoundNumber<double>;
 
     template<class ElemType>
-    cublasHandle_t GPUMatrix<ElemType>::s_cuHandle[GPUMatrix<ElemType>::MaxGpus]={0};
+    cublasHandle_t GPUMatrix<ElemType>::s_cuHandle[GPUMatrix<ElemType>::MaxGpus] = { 0 };
 
     template<class ElemType>
-    void* GPUMatrix<ElemType>::s_curandGenerator=NULL;    
+    void* GPUMatrix<ElemType>::s_curandGenerator = NULL;
 
     // We use Matrix<char> as the backing store for QuantizedMatrix
     // Let's explicitly instantiate the methods we need for that purpose
diff --git a/Source/Math/GPUMatrix.h b/Source/Math/GPUMatrix.h
index d505eedf7..87c7c9d9a 100644
--- a/Source/Math/GPUMatrix.h
+++ b/Source/Math/GPUMatrix.h
@@ -9,6 +9,7 @@
 #include "File.h"
 #include "Helpers.h"
 #include "CommonMatrix.h"
+#include "DataTensor.h" // only for SmallVector; I was hoping to keep this out
 #include "DebugUtil.h"
 #include "BestGpu.h"    // for CPUONLY macro
 #include "ConcStack.h"
@@ -46,9 +47,7 @@ typedef struct CUstream_st *cudaStream_t;
 void MATH_API SetStream(cudaStream_t stream);
 cudaStream_t MATH_API GetStream();
 
-namespace Microsoft {
-    namespace MSR {
-        namespace CNTK {
+namespace Microsoft { namespace MSR { namespace CNTK {
 
     // -----------------------------------------------------------------------
     // DeviceBoundNumber -- This class represents a number which resides on a particular device. Use it to avoid unnecessary transfers between CPU and GPU
@@ -411,16 +410,16 @@ namespace Microsoft {
 
         void TensorOp(ElemType beta, const GPUMatrix<ElemType>& a, ElemType alpha, ElementWiseOperator op,
                       const std::array<size_t, 2> & offsets,
-                      const std::vector<size_t> & regularOpDims,  const std::array<std::vector<ptrdiff_t>, 2> & regularStrides,
-                      const std::vector<size_t> & reducingOpDims, const std::array<std::vector<ptrdiff_t>, 2> & reducingStrides);
+                      const SmallVector<size_t> & regularOpDims,  const std::array<SmallVector<ptrdiff_t>, 2> & regularStrides,
+                      const SmallVector<size_t> & reducingOpDims, const std::array<SmallVector<ptrdiff_t>, 2> & reducingStrides);
         void TensorOp(ElemType beta, const GPUMatrix<ElemType>& a, const GPUMatrix<ElemType>& b, ElemType alpha, ElementWiseOperator op,
                       const std::array<size_t, 3> & offsets,
-                      const std::vector<size_t> & regularOpDims,  const std::array<std::vector<ptrdiff_t>, 3> & regularStrides,
-                      const std::vector<size_t> & reducingOpDims, const std::array<std::vector<ptrdiff_t>, 3> & reducingStrides);
+                      const SmallVector<size_t> & regularOpDims,  const std::array<SmallVector<ptrdiff_t>, 3> & regularStrides,
+                      const SmallVector<size_t> & reducingOpDims, const std::array<SmallVector<ptrdiff_t>, 3> & reducingStrides);
         void TensorOp(ElemType beta, const GPUMatrix<ElemType>& a, const GPUMatrix<ElemType>& b, const GPUMatrix<ElemType>& c, ElemType alpha, ElementWiseOperator op,
                       const std::array<size_t, 4> & offsets,
-                      const std::vector<size_t> & regularOpDims,  const std::array<std::vector<ptrdiff_t>, 4> & regularStrides,
-                      const std::vector<size_t> & reducingOpDims, const std::array<std::vector<ptrdiff_t>, 4> & reducingStrides);
+                      const SmallVector<size_t> & regularOpDims,  const std::array<SmallVector<ptrdiff_t>, 4> & regularStrides,
+                      const SmallVector<size_t> & reducingOpDims, const std::array<SmallVector<ptrdiff_t>, 4> & reducingStrides);
 
         static void CreateCurandObject(unsigned long seed, const char *caller);
         static void ResetCurandObject(unsigned long seed, const char *caller);
@@ -505,7 +504,7 @@ namespace Microsoft {
 }}}
 
 // Error handling
-template<typename ERRTYPE> static const char * CudaErrString(ERRTYPE x);
+template<typename ERRTYPE> const char * CudaErrString(ERRTYPE x);   // actual error function is defined inside .cu files
 template<typename ERRTYPE> static void CudaCall(ERRTYPE retCode, const char * exprString, const char * libName, ERRTYPE successCode)
 {
     if (retCode != successCode)
@@ -522,7 +521,9 @@ template<typename ERRTYPE> static void CudaCall(ERRTYPE retCode, const char * ex
         }
     }
 }
+
 #define CUDA_CALL(expr)     (CudaCall((expr), #expr, "CUDA", cudaSuccess))
 #define CUBLAS_CALL(expr)   (CudaCall((expr), #expr, "CUBLAS", CUBLAS_STATUS_SUCCESS))
 #define CUSPARSE_CALL(expr) (CudaCall((expr), #expr, "CUSPARSE", CUSPARSE_STATUS_SUCCESS))
 #define CURAND_CALL(expr)   (CudaCall((expr), #expr, "CURAND", CURAND_STATUS_SUCCESS))
+#define CUDNN_CALL(expr)    (CudaCall((expr), #expr, "cuDNN", CUDNN_STATUS_SUCCESS))
diff --git a/Source/Math/GPUMatrixCUDAKernels.cuh b/Source/Math/GPUMatrixCUDAKernels.cuh
index 990dad8e4..65decd1b4 100644
--- a/Source/Math/GPUMatrixCUDAKernels.cuh
+++ b/Source/Math/GPUMatrixCUDAKernels.cuh
@@ -4,15 +4,22 @@
 // </copyright>
 //
 
+#pragma once
+
 #include "BestGpu.h"
 
 #ifndef CPUONLY
 
-#include <float.h>
-#include <cuda_runtime.h>
+#pragma push_macro("TENSOR_OPS_DECL")
+#define TENSOR_OPS_DECL __device__ __host__
 #include "CommonMatrix.h"
+#include "GPUMatrix.h"
+#include "TensorOps.h"  // for exp_() etc.
 #include "device_functions.h"
+#include <cuda_runtime.h>
 #include <assert.h>
+#include <float.h>
+#pragma pop_macro("TENSOR_OPS_DECL")
 
 // REVIEW alexeyk: disable warnings properly for GCC/clang
 #ifdef _MSC_VER
@@ -35,40 +42,117 @@
 #endif
 
 #define IDX2C(i,j,ld) (((j)*(ld))+(i)) // 0 based indexing
-#define CALCULATE_ELEMENTWISE_INDEX_OR_EXIT CUDA_LONG id = blockDim.x * blockIdx.x + threadIdx.x; if (id>=N) return;
+
+// CUDA atomicAdd() only exists for 'float'. This is the 'double' version.
+static __inline__ __device__ double atomicAdd(double* address, double val)
+{
+    unsigned long long int* address_as_ull = (unsigned long long int*)address;
+    unsigned long long int old = *address_as_ull, assumed;
+    do {
+        assumed = old;
+        old = atomicCAS(address_as_ull, assumed, __double_as_longlong(val + __longlong_as_double(assumed)));
+    } while (assumed != old);
+    return __longlong_as_double(old);
+}
+
+// TODO: replace this with TensorOps.h LogAdd(). It differs in using ElemType throughout, while this one seems to use 'double' versions of exp() and log().
+// The 'k' in the name is to avoid naming conflicts with various versions of logadd() that are defined throughout the codebase.
+template<class ElemType>
+static inline __device__ __host__ ElemType logaddk(ElemType x, ElemType y)
+{
+    ElemType temp, diff, z;
+
+    if (x < y)
+    {
+        temp = x; x = y; y = temp;
+    }
+    diff = y - x;
+    if (diff < MINLOGEXP)
+    {
+        return (x < LSMALL) ? LZERO : x;
+    }
+    else
+    {
+        z = exp(diff);
+        return x + log(1.0 + z);
+    }
+}
+
+namespace Microsoft { namespace MSR { namespace CNTK {
 
 // ---------------------------------------------------------------------------
 // GridDim -- helper to choose the CUDA grid dimensions
 // ---------------------------------------------------------------------------
 
-// TODO: move the computation of 'id' here as well
+template<class INT, class INT2>
+static INT CeilDiv(INT a, INT2 b)   // ceil(a/b)
+{
+    return (INT)(((size_t)a + (size_t)b - 1) / (size_t)b);  // these size_t casts are necessary since b may be INT_MAX (for maxGridSize[])
+}
+
 struct GridDim
 {
     static const CUDA_LONG maxThreadsPerBlock = 512;    // use this many threads per block
-    static const CUDA_LONG minBlocksPerGrid = 48;       // use at least that many blocks  --TODO: base this on actual hardware
+    static const CUDA_LONG maxWarpsPerBlock = 16;       // use this many warps per block
 
     // use these for launching
     //   GridDim grid(NN);
     //   kernel<<<grid.m_blocksPerGrid, grid.m_threadsPerBlock, ...>>>(...)
     int m_blocksPerGrid, m_threadsPerBlock;             // (these may in the future be extended to multi-dimensional ones)
+    CUDA_LONG m_N;
 
     GridDim(CUDA_LONG N)    // linear grid
     {
+        m_N = N;
         if (N == 0)                     // CUDA will fail to launch with 0 blocks
             N = 1;
-        m_threadsPerBlock = GridDim::maxThreadsPerBlock;
-        m_blocksPerGrid = (N + m_threadsPerBlock - 1) / m_threadsPerBlock;
-        if (m_blocksPerGrid < minBlocksPerGrid)
+
+        // get device information
+        const auto & props = GetDeviceProps();
+        CUDA_LONG numProcs = props.multiProcessorCount;
+        CUDA_LONG warpSize = props.warpSize;
+
+        // distribute warps evenly over processors
+        CUDA_LONG warpsPerProc = CeilDiv(N, numProcs * warpSize);
+
+        // if too many warps per block then reduce #warps
+        if (warpsPerProc > maxWarpsPerBlock)
         {
-            // we cannot fill all blocks -> use less threads
-            m_threadsPerBlock = (N + minBlocksPerGrid - 1) / minBlocksPerGrid;
-            // round to multiples of 32 (warp size) for efficient memory access
-            m_threadsPerBlock = (m_threadsPerBlock + 31) / 32 * 32;
-            m_blocksPerGrid = (N + m_threadsPerBlock - 1) / m_threadsPerBlock;
+            CUDA_LONG overBy = CeilDiv(warpsPerProc, maxWarpsPerBlock); // we are over by this factor
+            warpsPerProc = CeilDiv(warpsPerProc, overBy);
         }
+
+        // put it back together
+        m_threadsPerBlock = warpsPerProc * warpSize;
+        m_blocksPerGrid = CeilDiv(N, m_threadsPerBlock);
+        if (m_blocksPerGrid == 1)
+            m_threadsPerBlock = N;  // don't launch more than necessary  --TODO: Does this make a difference at all?
         assert(m_blocksPerGrid * m_threadsPerBlock >= N);
     }
 
+    static std::vector<cudaDeviceProp> CacheDeviceProps()
+    {
+        int numDevices;
+        CUDA_CALL(cudaGetDeviceCount(&numDevices));
+        std::vector<cudaDeviceProp> props(numDevices);
+        for (int i = 0; i < numDevices; i++)
+            CUDA_CALL(cudaGetDeviceProperties(&props[i], i));
+#if 1   // on Linux, maxGridSize[0] gets reported as 0
+        for (int i = 0; i < numDevices; i++)
+            fprintf(stderr, "%d procs  %d warps  %d %d %d max grid  on  %s\n", (int)props[i].multiProcessorCount, (int)props[i].warpSize, (int)props[i].maxGridSize[0], (int)props[i].maxGridSize[1], (int)props[i].maxGridSize[2], props[i].name);
+#endif
+        return props;
+    }
+
+    // get device properties of current device
+    static const cudaDeviceProp & GetDeviceProps()
+    {
+        static std::vector<cudaDeviceProp> props = CacheDeviceProps();   // thread-safe according to C++ standard
+        int deviceId;
+        cudaGetDevice(&deviceId);
+        return props[deviceId];
+    }
+
     // compute our location on the grid
     static __device__ CUDA_LONG GetLinearThreadId()
     {
@@ -76,15 +160,25 @@ struct GridDim
     }
 };
 
+#define CALCULATE_ELEMENTWISE_INDEX_OR_EXIT(id,N) CUDA_LONG id = GridDim::GetLinearThreadId(); if (id>=N) return;
+
 #ifdef __GNUC__
 #define UNUSED_FUNCTION_ATTRIBUTE __attribute__ ((unused))
 #else
 #define UNUSED_FUNCTION_ATTRIBUTE
 #endif
 
-// Predefine this for later.
-static __inline__ __device__ double atomicAdd(double* address, double val) UNUSED_FUNCTION_ATTRIBUTE;
-//CUDA Kernels code
+// ===========================================================================
+// CUDA kernels follow, lots of them
+// ===========================================================================
+
+// _elementWise*() kernels
+//
+// Designed to operate on contiguous blocks of memory, where the output is a simple function of the inputs.
+// The first parameters of every function are inputs, and the last two arguments to each function are always
+// (ElemenType *res, CUDA_LONG N), a pointer and length of the output block. Each thread computes a function
+// of the inputs for one value in the output.
+
 template<class ElemType>
 __global__ void _elementWisePowerOnCuda(
     const ElemType alpha,     
@@ -92,7 +186,7 @@ __global__ void _elementWisePowerOnCuda(
     ElemType *res,    
     const CUDA_LONG N)
 {
-    CALCULATE_ELEMENTWISE_INDEX_OR_EXIT;
+    CALCULATE_ELEMENTWISE_INDEX_OR_EXIT(id,N);
     if (alpha==0)
     {
         res[id]=1;
@@ -122,70 +216,51 @@ __global__ void _elementWisePowerOnCuda(
     }    
 };
 
+// Note that this code is inefficient on CUDA due to diverging code paths.
+// Use Sigmoid() in TensorOps.h instead, which solves this problem.
 template<class ElemType>
 __global__ void _elementWiseSigmoidOnCuda(    
     const ElemType *a,
     ElemType *res,    
     const CUDA_LONG N)
 {
-    CALCULATE_ELEMENTWISE_INDEX_OR_EXIT;
-    if (sizeof(ElemType)==sizeof(double))
+    CALCULATE_ELEMENTWISE_INDEX_OR_EXIT(id,N);
+#if 0   // this computes the same thing but is twice as fast on CUDA
+    res[id] = Microsoft::MSR::CNTK::Sigmoid(a[id]);
+#else
+    if (a[id] >= 0)
     {
-        if (a[id]>=0)
-        {
-            double e = exp(-1*a[id]);
-            res[id]=1/(1+e);
-        }
-        else
-        {
-            double e = exp(a[id]);
-            res[id]=e/(1+e);
-        }
+        ElemType e = exp_(-a[id]);
+        res[id] = 1 / (1 + e);
     }
     else
     {
-        if (res[id]>=0)
-        {
-            float e = expf(-1*a[id]);
-            res[id]=1/(1+e);
-        }
-        else
-        {
-            float e = exp(a[id]);
-            res[id]=e/(1+e);
-        }
+        ElemType e = exp_(a[id]);
+        res[id] = e / (1 + e);
     }
+#endif
 };
 
-__device__ __forceinline__ float _exp(float f)
-{
-    return expf(f);
-}
-
-__device__ __forceinline__ double _exp(double f)
-{
-    return exp(f);
-}
-
 template<class ElemType>
 __global__ void _assignSigmoidOf(
     const ElemType* a,
     ElemType* res,
     const CUDA_LONG N)
 {
-    CUDA_LONG id = blockDim.x * blockIdx.x + threadIdx.x;
-
-    if (id >= N)
-    {
-        return;
-    }
+    CALCULATE_ELEMENTWISE_INDEX_OR_EXIT(id,N);
 
     // This function computes 1 / (1 + e^(-x)) which yields 1 / (1 + e^|x|) if x is negative,
     // and e^x / (1 + e^x) if x is positive.
+    // BUGBUG: This does not invert the calculation when the exp argument becomes large, potentially causing overflows.
+    //         There is a second version of this function that does. That should be used.
+#if 0   // this has the same speed now, although not identical accuracy
+    res[id] = Microsoft::MSR::CNTK::Sigmoid(a[id]);
+#else
     ElemType negElem = -a[id];
-    ElemType e = _exp(negElem);
+    ElemType e = exp_(negElem);
 
     res[id] = 1 / (e + 1);
+#endif
 };
 
 template<class ElemType>
@@ -194,7 +269,7 @@ __global__ void _elementWiseLinRectDerivativeOnCuda(
     ElemType *res,    
     const CUDA_LONG N)
 {
-    CALCULATE_ELEMENTWISE_INDEX_OR_EXIT;
+    CALCULATE_ELEMENTWISE_INDEX_OR_EXIT(id,N);
     res[id] = (a[id] <= 0) ? 0 : 1;
 }
 
@@ -204,7 +279,7 @@ __global__ void _elementWiseSigmoidDerivativeOnCuda(
     ElemType *res,
     const CUDA_LONG N)
 {
-    CALCULATE_ELEMENTWISE_INDEX_OR_EXIT;
+    CALCULATE_ELEMENTWISE_INDEX_OR_EXIT(id,N);
     res[id] = a[id] * (1-a[id]);
 }
 
@@ -214,16 +289,8 @@ __global__ void _elementWiseTanhOnCuda(
     ElemType *res,    
     const CUDA_LONG N)
 {
-    CALCULATE_ELEMENTWISE_INDEX_OR_EXIT;
-    if (sizeof(ElemType)==sizeof(double))
-    {
-        res[id]=tanh(a[id]);
-    }
-    else
-    {
-        res[id]=tanhf(a[id]);
-    }
-
+    CALCULATE_ELEMENTWISE_INDEX_OR_EXIT(id,N);
+    res[id] = tanh_(a[id]);
 };
 
 //to prevent negative values caused by floating operations, we force inputs to be >=0
@@ -234,15 +301,8 @@ __global__ void _elementWiseSqrtOnCuda(
     ElemType *res,    
     const CUDA_LONG N)
 {
-    CALCULATE_ELEMENTWISE_INDEX_OR_EXIT;
-    if (sizeof(ElemType)==sizeof(double))
-    {
-        res[id]=sqrt(max((ElemType)0, a[id]));
-    }
-    else
-    {
-        res[id]=sqrtf(max(ElemType(0), a[id]));
-    }
+    CALCULATE_ELEMENTWISE_INDEX_OR_EXIT(id,N);
+    res[id] = sqrt_(max((ElemType)0, a[id]));
 };
 
 template<class ElemType>
@@ -251,15 +311,8 @@ __global__ void _elementWiseExpOnCuda(
     ElemType *res,    
     const CUDA_LONG N)
 {
-    CALCULATE_ELEMENTWISE_INDEX_OR_EXIT;
-    if (sizeof(ElemType)==sizeof(double))
-    {
-        res[id]=exp(a[id]);
-    }
-    else
-    {
-        res[id]=expf(a[id]);
-    }
+    CALCULATE_ELEMENTWISE_INDEX_OR_EXIT(id,N);
+    res[id] = exp_(a[id]);
 };
 
 template<class ElemType>
@@ -268,22 +321,8 @@ __global__ void _elementWiseLogOnCuda(
     ElemType *res,    
     const CUDA_LONG N)
 {
-    CALCULATE_ELEMENTWISE_INDEX_OR_EXIT;
-    if (a[id]<EPS_IN_LOG)
-    {
-        res[id]=LOG_OF_EPS_IN_LOG;
-    }
-    else
-    {
-        if (sizeof(ElemType)==sizeof(double))
-        {
-            res[id]=log(a[id]);
-        }
-        else
-        {
-            res[id]=logf(a[id]);
-        }
-    }
+    CALCULATE_ELEMENTWISE_INDEX_OR_EXIT(id,N);
+    res[id] = (a[id] < EPS_IN_LOG) ? LOG_OF_EPS_IN_LOG : log_(a[id]);
 };
 
 template<class ElemType>
@@ -292,15 +331,8 @@ __global__ void _elementWiseAbsOnCuda(
     ElemType *res,    
     const CUDA_LONG N)
 {
-    CALCULATE_ELEMENTWISE_INDEX_OR_EXIT;
-    if (sizeof(ElemType)==sizeof(double))
-    {
-        res[id]=fabs(a[id]);
-    }
-    else
-    {
-        res[id]=fabsf(a[id]);
-    }
+    CALCULATE_ELEMENTWISE_INDEX_OR_EXIT(id,N);
+    res[id] = fabs_(a[id]);
 };
 
 template<class ElemType>
@@ -309,15 +341,8 @@ __global__ void _elementWiseCosineOnCuda(
     ElemType *res,    
     const CUDA_LONG N)
 {
-    CALCULATE_ELEMENTWISE_INDEX_OR_EXIT;
-    if (sizeof(ElemType)==sizeof(double))
-    {
-        res[id]=cos(a[id]);
-    }
-    else
-    {
-        res[id]=cosf(a[id]);
-    }
+    CALCULATE_ELEMENTWISE_INDEX_OR_EXIT(id,N);
+    res[id] = cos_(a[id]);
 };
 
 template<class ElemType>
@@ -326,18 +351,10 @@ __global__ void _elementWiseNegativeSineOnCuda(
     ElemType *res,    
     const CUDA_LONG N)
 {
-    CALCULATE_ELEMENTWISE_INDEX_OR_EXIT;
-    if (sizeof(ElemType)==sizeof(double))
-    {
-        res[id]=-sin(a[id]);
-    }
-    else
-    {
-        res[id]=-sinf(a[id]);
-    }
+    CALCULATE_ELEMENTWISE_INDEX_OR_EXIT(id,N);
+    res[id] = -sin_(a[id]);
 };
 
-
 template<class ElemType>
 __global__ void _setValue(    
     ElemType* a,
@@ -1131,6 +1148,7 @@ __global__ void _assignColumnwiseHardmaxOf(
     }
 }
 
+#if 0
 template<class ElemType>
 __global__ void _inplaceTruncateBottom(
     ElemType* a,
@@ -1143,6 +1161,7 @@ __global__ void _inplaceTruncateBottom(
     if (a[id]<threshold)
         a[id]=threshold;
 }
+#endif
 
 template<class ElemType>
 __global__ void _assignTruncateBottom(
@@ -1151,15 +1170,11 @@ __global__ void _assignTruncateBottom(
     const ElemType threshold,
     const CUDA_LONG N)
 {
-    CUDA_LONG id = blockDim.x * blockIdx.x + threadIdx.x;
-    if (id>=N)
-        return;
-    if (a[id]<threshold)
-        us[id]=threshold;
-    else
-        us[id]=a[id];
+    CALCULATE_ELEMENTWISE_INDEX_OR_EXIT(id,N);
+    us[id] = a[id] < threshold ? threshold : a[id];
 }
 
+#if 0
 template<class ElemType>
 __global__ void _inplaceTruncateTop(
     ElemType* a,
@@ -1172,6 +1187,7 @@ __global__ void _inplaceTruncateTop(
     if (a[id]>threshold)
         a[id]=threshold;
 }
+#endif
 
 template<class ElemType>
 __global__ void _assignTruncateTop(
@@ -1180,13 +1196,8 @@ __global__ void _assignTruncateTop(
     const ElemType threshold,
     const CUDA_LONG N)
 {
-    CUDA_LONG id = blockDim.x * blockIdx.x + threadIdx.x;
-    if (id>=N)
-        return;
-    if (a[id]>threshold)
-        us[id]=threshold;
-    else
-        us[id]=a[id];
+    CALCULATE_ELEMENTWISE_INDEX_OR_EXIT(id,N);
+    us[id] = a[id] > threshold ? threshold : a[id];
 }
 
 template<class ElemType>
@@ -2442,7 +2453,7 @@ __global__ void _matrixMatrixAddOnCuda(
     const CUDA_LONG N
     )
 {
-    CALCULATE_ELEMENTWISE_INDEX_OR_EXIT;
+    CALCULATE_ELEMENTWISE_INDEX_OR_EXIT(id,N);
     c[id] = alpha * a[id] + b[id];
 }
 
@@ -2455,8 +2466,8 @@ __global__ void _matrixVectorRowWiseAddWithThreadPerElem(
     const CUDA_LONG m,  //number of rows
     const CUDA_LONG n)  //number of cols     
 {
-    CUDA_LONG N = m*n; // used in CALCULATE_ELEMENTWISE_INDEX_OR_EXIT macro
-    CALCULATE_ELEMENTWISE_INDEX_OR_EXIT;
+    CUDA_LONG N = m*n; // used in CALCULATE_ELEMENTWISE_INDEX_OR_EXIT(id,N) macro
+    CALCULATE_ELEMENTWISE_INDEX_OR_EXIT(id,N);
 
     CUDA_LONG col = id / m;
 
@@ -2473,8 +2484,8 @@ __global__ void _matrixVectorColumnWiseAddWithThreadPerElem(
     const CUDA_LONG m,  //number of rows
     const CUDA_LONG n)  //number of cols     
 {
-    CUDA_LONG N = m*n; // used in CALCULATE_ELEMENTWISE_INDEX_OR_EXIT macro
-    CALCULATE_ELEMENTWISE_INDEX_OR_EXIT;
+    CUDA_LONG N = m*n; // used in CALCULATE_ELEMENTWISE_INDEX_OR_EXIT(id,N) macro
+    CALCULATE_ELEMENTWISE_INDEX_OR_EXIT(id,N);
 
     CUDA_LONG col = id / m;
     CUDA_LONG row = id - col*m;
@@ -3568,7 +3579,7 @@ __global__ void _assignNoiseContrastiveEstimation(
         if (positive)
             prob = -prob;
         ElemType score_noise = log_num_noise_samples + prob;
-        ElemType z = logadd(tmp[i], score_noise);
+        ElemType z = logaddk(tmp[i], score_noise);
         ElemType logprob = tmp[i] - z;
         ElemType logprob_noise = score_noise - z;
         tmp[i] = -exp(logprob);
@@ -3791,9 +3802,7 @@ __global__ void _inplaceTruncate(
     const ElemType threshold,
     const CUDA_LONG N)
 {
-    CUDA_LONG id = blockDim.x * blockIdx.x + threadIdx.x;
-    if (id>=N)
-        return;
+    CALCULATE_ELEMENTWISE_INDEX_OR_EXIT(id,N)
     ElemType locThresholdPos = abs(threshold);
     ElemType locTHresholdNeg = -locThresholdPos; 
     if (a[id] > locThresholdPos)
@@ -3862,40 +3871,6 @@ __global__ void _normalGradForSparseBlock(
     lhsValues[index] = rhs[IDX2C(row, col, numRows)];
 }
 
-static __inline__ __device__ double atomicAdd(double* address, double val)
-{
-    unsigned long long int* address_as_ull = (unsigned long long int*)address;
-    unsigned long long int old = *address_as_ull, assumed;
-
-    do {
-        assumed = old;
-        old = atomicCAS(address_as_ull, assumed, __double_as_longlong(val + __longlong_as_double(assumed)));
-    } while (assumed != old);
-
-    return __longlong_as_double(old);
-}
-
-template<class ElemType>
-static __inline__ __device__ ElemType logadd(ElemType x, ElemType y)
-{
-    ElemType temp, diff, z; 
-
-    if (x < y) 
-    {
-        temp = x; x = y; y = temp;
-    }
-    diff = y - x; 
-    if (diff < MINLOGEXP)
-    {
-        return (x < LSMALL)?LZERO:x;
-    }
-    else
-    {
-        z = exp(diff);
-        return x + log(1.0 + z);
-    }
-}
-
 //This function should be called with 1024 threads per block and 1 block
 //THIS IS NOT THE MOST EFFICIENT IMPLEMENTATION!!!
 template<class ElemType>
@@ -4660,7 +4635,7 @@ __global__ void _rcrfBackwardCompute(
             fSum = LZERO;
             for (int j = 0; j < iNumLab; j++)
             {
-                fSum = logadd(fSum, alpha[IDX2C(j, t, iNumLab)]);
+                fSum = logaddk(fSum, alpha[IDX2C(j, t, iNumLab)]);
             }
 
             fTmp = alpha[IDX2C(id, t, iNumLab)] - fSum;
@@ -4672,10 +4647,10 @@ __global__ void _rcrfBackwardCompute(
                 fSum = LZERO;
                 for (int m = 0; m < iNumLab; m++)
                 {
-                    fSum = logadd(fSum, alpha[IDX2C(m, t, iNumLab)] + pair_scores[IDX2C(j, m, iNumLab)]);
+                    fSum = logaddk(fSum, alpha[IDX2C(m, t, iNumLab)] + pair_scores[IDX2C(j, m, iNumLab)]);
                 }
 
-                fTmp = logadd(fTmp, beta[IDX2C(j, t + 1, iNumLab)] + alpha[IDX2C(id, t, iNumLab)] + pair_scores[IDX2C(j, id, iNumLab)] - fSum);
+                fTmp = logaddk(fTmp, beta[IDX2C(j, t + 1, iNumLab)] + alpha[IDX2C(id, t, iNumLab)] + pair_scores[IDX2C(j, id, iNumLab)] - fSum);
             }
         }
 
@@ -4736,7 +4711,7 @@ __global__ void _rcrfBackwardCompute(
     {
         for (int j = 0; j < iNumLab; j++)
         {
-            fTmp = logadd(fTmp, beta_t1[j] + alpha[id] + pair_scores[j] - zeta[j]);
+            fTmp = logaddk(fTmp, beta_t1[j] + alpha[id] + pair_scores[j] - zeta[j]);
         }
     }
 
@@ -4777,9 +4752,9 @@ __global__ void _rcrfBackwardComputeZeta(
     for (int m = 0; m < iNumLab; m++)
     {
         if (t == iNumPos - 1)
-            fSum = logadd(fSum, alpha[IDX2C(m, 0, iNumLab)]);
+            fSum = logaddk(fSum, alpha[IDX2C(m, 0, iNumLab)]);
         else
-            fSum = logadd(fSum, alpha[IDX2C(m, 0, iNumLab)] + pair_scores[m]);
+            fSum = logaddk(fSum, alpha[IDX2C(m, 0, iNumLab)] + pair_scores[m]);
     }
 
     gzeta[id] = fSum;
@@ -4831,7 +4806,7 @@ __global__ void _rcrfTransGrdComputeZeta(
         else
             fTmp = alpha[m];
 
-        fSum = logadd(fSum, pair_scores[m] + fTmp);
+        fSum = logaddk(fSum, pair_scores[m] + fTmp);
     }
 
     gzeta[id] = fSum;
@@ -4934,7 +4909,7 @@ __global__ void _reductionLogAddSum(
     {
         ElemType lSum = LZERO;
         if (tid < s){
-            lSum = logadd(partialLogAddSum[tid], partialLogAddSum[tid + s]);
+            lSum = logaddk(partialLogAddSum[tid], partialLogAddSum[tid + s]);
             partialLogAddSum[tid] = lSum;
         }
     }
@@ -5059,4 +5034,6 @@ __global__ void _maskColumnsValue(ElemType *a, const char *columnsMask, CUDA_LON
     }
 }
 
+}}}
+
 #endif // !CPUONLY
diff --git a/Source/Math/GPUSparseMatrix.cu b/Source/Math/GPUSparseMatrix.cu
index bc25ecc37..7e4f7a1c6 100644
--- a/Source/Math/GPUSparseMatrix.cu
+++ b/Source/Math/GPUSparseMatrix.cu
@@ -34,11 +34,7 @@ static
 #endif
 cudaStream_t t_stream;
 
-
-// support for CudaCall() function template
-static const char * CudaErrString(cudaError_t x)    { cudaDeviceSynchronize(); return cudaGetErrorString(x); }
-static const char * CudaErrString(cublasStatus_t)   { cudaDeviceSynchronize(); return "(see cublas_api.h & look for cublasStatus_t or CUBLAS_STATUS_xxx)"; }
-static const char * CudaErrString(cusparseStatus_t) { cudaDeviceSynchronize(); return "(see cusparse.h & look for cusparseStatus_t or CUSPARSE_STATUS_xxx)"; }
+template<> const char * CudaErrString<cusparseStatus_t>(cusparseStatus_t) { cudaDeviceSynchronize(); return "(see cusparse.h & look for cusparseStatus_t or CUSPARSE_STATUS_xxx)"; }
 
 namespace Microsoft { namespace MSR { namespace CNTK {
 
@@ -2573,7 +2569,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         int blocksPerGrid =(int)ceil(N*1.0/GridDim::maxThreadsPerBlock);                
         cudaEvent_t done = nullptr;
         if (do_sync)    CUDA_CALL(cudaEventCreate(&done));
-        _inplaceTruncateBottom<ElemType> << <blocksPerGrid, GridDim::maxThreadsPerBlock >> >(NzValues(), threshold, N);
+        _assignTruncateBottom<ElemType> << <blocksPerGrid, GridDim::maxThreadsPerBlock >> >(NzValues(), NzValues(), threshold, N);
         if (do_sync)    CUDA_CALL(cudaEventRecord(done));
         if (do_sync)    CUDA_CALL(cudaEventSynchronize(done));
         if (do_sync)    CUDA_CALL(cudaEventDestroy(done));
@@ -2617,7 +2613,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         int blocksPerGrid =(int)ceil(N*1.0/GridDim::maxThreadsPerBlock);                
         cudaEvent_t done = nullptr;
         if (do_sync)    CUDA_CALL(cudaEventCreate(&done));
-        _inplaceTruncateTop<ElemType> << <blocksPerGrid, GridDim::maxThreadsPerBlock >> >(NzValues(), threshold, N);
+        _assignTruncateTop<ElemType> << <blocksPerGrid, GridDim::maxThreadsPerBlock >> >(NzValues(), NzValues(), threshold, N);
         if (do_sync)    CUDA_CALL(cudaEventRecord(done));
         if (do_sync)    CUDA_CALL(cudaEventSynchronize(done));
         if (do_sync)    CUDA_CALL(cudaEventDestroy(done));
diff --git a/Source/Math/GPUTensor.cu b/Source/Math/GPUTensor.cu
new file mode 100644
index 000000000..7ec372429
--- /dev/null
+++ b/Source/Math/GPUTensor.cu
@@ -0,0 +1,692 @@
+//
+// <copyright file="GPUMatrix.cu" company="Microsoft">
+//     Copyright (c) Microsoft Corporation.  All rights reserved.
+// </copyright>
+//
+
+#include "stdafx.h"
+#include "Basics.h"
+#include "BestGpu.h"
+//#include "DebugUtil.h"
+
+#ifndef CPUONLY
+
+#include "GPUTensor.h"
+#include "GPUMatrix.h"
+#include "GPUMatrixCUDAKernels.cuh"
+#include "CommonMatrix.h"
+#define TENSOR_OPS_DECL __device__ __host__
+#include "TensorOps.h"
+#include <cuda.h>
+#include <cuda_runtime.h>
+#include "cublas_v2.h"
+#include <assert.h>
+
+#ifndef let
+#define let const auto
+#endif
+
+#pragma comment (lib, "cudart.lib")     // instruct linker to reference these libs
+#pragma comment (lib, "cublas.lib")
+
+#pragma warning (disable: 4267) // conversion from 'size_t' to 'unsigned int'; happens in CUDA <<<a,b>>> syntax if a and b are size_t
+#pragma warning (disable: 4127) // conditional expression is constant; "if (sizeof(ElemType)==sizeof(float))" triggers this
+#pragma warning (disable: 4702) // unreachable code; triggered for unknown reasons
+
+extern bool do_sync;
+
+#ifdef _WIN32
+// thread local storage to access the current stream, initalize to default stream
+__declspec (thread)
+#endif
+extern cudaStream_t t_stream;
+
+namespace Microsoft { namespace MSR { namespace CNTK {
+
+    // =======================================================================
+    // TensorView support
+    // =======================================================================
+
+    // To save time, this makes extensive use of templates and macros.
+
+    // -----------------------------------------------------------------------
+    // simple fixed-size arrays for passing dimension information by value
+    // since CUDA can't just take our std::array and std::vector
+    // -----------------------------------------------------------------------
+
+    template<typename T, size_t N>
+    struct FixedArray
+    {
+        T m_data[N];
+        __device__ __host__ size_t size() const { return N; }
+        __device__ __host__ T & operator[](size_t n)       { return m_data[n]; }
+        __device__ __host__ T   operator[](size_t n) const { return m_data[n]; }
+        template<class VEC> FixedArray(const VEC & data)    // construct from CPU-side STL array or vector
+        {
+            assert(data.size() == N);
+            for (size_t n = 0; n < N; n++)
+            {
+                m_data[n] = (T)data[n];
+                if (m_data[n] != data[n])   // overflow check
+                    InvalidArgument("FixedArray: Dimensions out of range, too few bits.");
+            }
+        }
+    };
+    template<typename T>        // specialized version for 0 elements
+    struct FixedArray<T, 0>
+    {
+        __device__ __host__ size_t size() const { return 0; }
+        template<class VEC> FixedArray(const VEC & data) { assert(data.size() == 0); UNUSED(data); }
+        FixedArray() { }
+    };
+
+    template<typename T, size_t N, size_t K>    // N = which input/output; K = index depth
+    struct FixedMatrix
+    {
+        T m_data[N][K];
+        __device__ __host__ size_t getNumRows() const { return N; }
+        __device__ __host__ size_t getNumCols() const { return K; }
+        __device__ __host__ T & operator()(size_t n, size_t k)       { return m_data[n][k]; }
+        __device__ __host__ T   operator()(size_t n, size_t k) const { return m_data[n][k]; }
+        template<typename U> FixedMatrix(const array<SmallVector<U>, N> & data)  // construct from CPU-side array of vectors
+        {
+            assert(data.size() == N);
+            for (size_t n = 0; n < N; n++)
+            {
+                assert(data[n].size() == K);
+                for (size_t k = 0; k < K; k++)
+                {
+                    m_data[n][k] = (T)data[n][k];
+                    if (m_data[n][k] != data[n][k])   // overflow check
+                        InvalidArgument("FixedArray: Dimensions out of range, too few bits.");
+                }
+            }
+        }
+    };
+    template<typename T, size_t N>        // specialized version for 0 elements
+    struct FixedMatrix<T, N, 0>
+    {
+        __device__ __host__ size_t getNumRows() const { return N; }
+        __device__ __host__ size_t getNumCols() const { return 0; }
+        template<typename U> FixedMatrix(const array<SmallVector<U>, N> & data) { assert(data.size() == N); for (size_t n = 0; n < N; n++) assert(data[n].size() == 0); UNUSED(data); }
+        FixedMatrix() { }
+    };
+
+    // -----------------------------------------------------------------------
+    // function to actually compute a function of (N-1) inputs based on the opcode
+    // -----------------------------------------------------------------------
+
+    template<class ElemType>
+    struct TensorOps
+    {
+        static __device__ ElemType Compute(const FixedArray<ElemType*, 1> & pointers, ElementWiseOperator op)
+        {
+#define CaseNullaryTensorOp(oper) case ElementWiseOperator::op ## oper: return Op ## oper<ElemType>()
+            switch (op)
+            {
+            ForAllNullaryOps(CaseNullaryTensorOp);
+            default: return OpConstOne<ElemType>();   // (failure--we only have one nullary op, so use the same, maybe it will eliminate the switch altogether)
+            }
+        }
+        static __device__ ElemType Compute(const FixedArray<ElemType*, 2> & pointers, ElementWiseOperator op)
+        {
+            ElemType a = *(pointers[0]);
+#define CaseUnaryTensorOp(oper) case ElementWiseOperator::op ## oper: return Op ## oper(a)
+            switch (op)
+            {
+            ForAllUnaryOps(CaseUnaryTensorOp);
+            default: return 0;  // (failure)
+            }
+        }
+        static __device__ ElemType Compute(const FixedArray<ElemType*, 3> & pointers, ElementWiseOperator op)
+        {
+            ElemType a = *(pointers[0]);
+            ElemType b = *(pointers[1]);
+#define CaseBinaryTensorOp(oper) case ElementWiseOperator::op ## oper: return Op ## oper(a,b)
+            switch (op)
+            {
+            ForAllBinaryOps(CaseBinaryTensorOp);    // note: this costs about 6% compared to having only a single case
+            default: return 0;  // (failure)
+            }
+        }
+        static __device__ ElemType Compute(const FixedArray<ElemType*, 4> & pointers, ElementWiseOperator op)
+        {
+            ElemType a = *(pointers[0]);
+            ElemType b = *(pointers[1]);
+            ElemType c = *(pointers[2]);
+#define CaseTernaryTensorOp(oper) case ElementWiseOperator::op ## oper: return Op ## oper(a,b,c)
+            switch (op)
+            {
+            ForAllTernaryOps(CaseTernaryTensorOp);
+            default: return 0;  // (failure)
+            }
+        }
+    };
+
+    // -----------------------------------------------------------------------
+    // function to compute the value for a given output location (this version performs reduction if needed)
+    // -----------------------------------------------------------------------
+
+//#define ReduceElemType double
+#define ReduceElemType ElemType
+
+    template<class ElemType, C_size_t N, C_int M, C_int m>
+    struct TensorOpReduce
+    {
+        // this version for m >= 0
+        static __device__ ElemType Compute(FixedArray<ElemType*, N> pointers, ElementWiseOperator op,
+                                           const FixedArray<C_unsigned_int, M> & reducingOpDims, const FixedMatrix<C_int, N, M> & reducingStrides)
+        {
+            // start with index 0
+            // We may use 'double' since we are memory-bound anyway.
+            ReduceElemType aggregate = TensorOpReduce<ElemType, N, M, m - 1>::Compute(pointers, op, reducingOpDims, reducingStrides);
+            // apply this index to the pointers
+            C_size_t dim = reducingOpDims[m];
+            for (C_size_t k = 1/*done with k=0 already*/; k < dim; k++)
+            {
+                // bump the pointers
+                for (C_size_t i = 0; i < N - 1; i++)    // N-1 because output is not used here
+                    pointers[i] += reducingStrides(i,(C_size_t)m);
+                ElemType val = TensorOpReduce<ElemType, N, M, m - 1>::Compute(pointers, op, reducingOpDims, reducingStrides);
+                aggregate += val;
+            }
+            return (ElemType)aggregate;
+        }
+    };
+
+    // this one terminates the template recursion over reduction dimensions
+    // The pointers are pointing to the input element.
+    template<class ElemType, C_size_t N, C_int M>
+    struct TensorOpReduce<ElemType, N, M, /*m=*/-1>
+    {
+        // this version for m = -1
+        // the pointers are pointing to the right location(s) to take the operation over
+        static __device__ ElemType Compute(FixedArray<ElemType*, N> pointers, ElementWiseOperator op,
+                                           const FixedArray<C_unsigned_int, M> & /*reducingOpDims*/, const FixedMatrix<C_int, N, M> & /*reducingStrides*/)
+        {
+            return TensorOps<ElemType>::Compute(pointers, op);   // finally computing something!
+        }
+    };
+
+    // -----------------------------------------------------------------------
+    // function to compute one constituent of the value for a given output location (this version has reduction done outside)
+    // -----------------------------------------------------------------------
+
+    template<class ElemType, C_size_t N, C_int M, C_int m>
+    struct TensorOpParallelReduce
+    {
+        // this version for m >= 0
+        static __device__ ElemType Compute(CUDA_LONG id, FixedArray<ElemType*, N> pointers, ElementWiseOperator op,
+                                           const FixedArray<C_unsigned_int, M> & reducingOpDims, const FixedMatrix<C_int, N, M> & reducingStrides)
+        {
+            // map id (location on grid) to index[k]
+            C_size_t stride = 1;                    // compute the stride. This seems expensive, but since we we only currently support M <= 2, this is just compile-time selection between 1 and reducingOpDims[0].
+            for (int i = 0; i < m; i++)
+                stride *= reducingOpDims[(C_size_t)i];
+            C_size_t index = id / stride;           // this dimension. For m=0, the stride is 1 and hence the division will be removed at compile time.
+            id = id % stride;                       // remaining dimensions inside this. For m=0 this value is ignored and hence not even computed.
+            // apply this index to the pointers
+            for (C_size_t i = 0; i < N - 1; i++)
+                pointers[i] += index * reducingStrides(i, (C_size_t)m);    // now this dimension is taken care of
+            return TensorOpParallelReduce<ElemType, N, M, m - 1>::Compute(id, pointers, op, reducingOpDims, reducingStrides);
+        }
+    };
+
+    // this one terminates the template recursion over reduction dimensions
+    // The pointers are pointing to the input element.
+    template<class ElemType, C_size_t N, C_int M>
+    struct TensorOpParallelReduce<ElemType, N, M, /*m=*/-1>
+    {
+        // this version for m = -1
+        // the pointers are pointing to the right location(s) to take the operation over
+        static __device__ ElemType Compute(CUDA_LONG /*id*/, FixedArray<ElemType*, N> pointers, ElementWiseOperator op,
+                                           const FixedArray<C_unsigned_int, M> & /*reducingOpDims*/, const FixedMatrix<C_int, N, M> & /*reducingStrides*/)
+        {
+            return TensorOps<ElemType>::Compute(pointers, op);   // finally computing something!
+        }
+    };
+
+    // -----------------------------------------------------------------------
+    // perform loop over regular index k for N-nary operations (N counting the output)
+    // -----------------------------------------------------------------------
+
+    // The canonical case, vector op without reduction, is this PTX function:
+    // _ZN9Microsoft3MSR4CNTK15_launchTensorOpIfLi3ELi0ELi1EEEvT_NS1_10FixedArrayIPS3_XT0_EEES3_NS1_19ElementWiseOperatorENS4_IiXT2_EEENS1_11FixedMatrixIiXT0_EXT2_EEENS4_IiXT1_EEENS9_IiXT0_EXT1_EEEi
+    //                                   float ^      ^ aggregate loop
+    //                                      args? ^       ^ input dims
+    // _ZN9Microsoft3MSR4CNTK15_launchTensorOpIfLi2ELi0ELi1EEEvT_NS1_10FixedArrayIPS3_XT0_EEES3_NS1_19ElementWiseOperatorENS4_IiXT2_EEENS1_11FixedMatrixIiXT0_EXT2_EEENS4_IiXT1_EEENS9_IiXT0_EXT1_EEEi
+
+    // The 'pointers' only refer to a single element, so we will bump them in-place to perform indexing.
+    template<class ElemType, C_size_t N, C_int M, C_int K, bool parallelReduce, C_int k>
+    struct TensorOpElement
+    {
+        // template-recursive version loops over indices
+        static __device__ void Compute(CUDA_LONG id, ElemType beta, FixedArray<ElemType*, N> & pointers, ElemType alpha, ElementWiseOperator op,
+                                       const FixedArray<C_unsigned_int, K> & regularOpStrides,  const FixedMatrix<C_int, N, K> & regularStrides,
+                                       const FixedArray<C_unsigned_int, M> & reducingOpDims,   const FixedMatrix<C_int, N, M> & reducingStrides,
+                                       CUDA_LONG reductionBegin, CUDA_LONG reductionChunkSize)
+        {
+            // map id (location on grid) to index[k]
+            C_size_t stride = regularOpStrides[(C_size_t)k];
+            C_size_t index = id / stride;             // this dimension
+            id = id % stride;                       // remaining dimensions inside this
+            // apply this index to the pointers
+            for (C_size_t i = 0; i < N; i++)
+                pointers[i] += index * regularStrides(i,(C_size_t)k);    // now this dimension is taken care of
+            // process the previous index
+            TensorOpElement<ElemType, N, M, K, parallelReduce, k - 1>::Compute(id, beta, pointers, alpha, op, regularOpStrides, regularStrides, reducingOpDims, reducingStrides, reductionBegin, reductionChunkSize);
+        }
+    };
+
+    // specialization for k=0 where op stride is guaranteed to be 1
+    template<class ElemType, C_size_t N, C_int M, C_int K, bool parallelReduce>
+    struct TensorOpElement<ElemType, N, M, K, parallelReduce, /*k=*/0>
+    {
+        // template-recursive version loops over indices
+        static __device__ void Compute(CUDA_LONG id, ElemType beta, FixedArray<ElemType*, N> & pointers, ElemType alpha, ElementWiseOperator op,
+                                       const FixedArray<C_unsigned_int, K> & regularOpStrides,  const FixedMatrix<C_int, N, K> & regularStrides,
+                                       const FixedArray<C_unsigned_int, M> & reducingOpDims,    const FixedMatrix<C_int, N, M> & reducingStrides,
+                                       CUDA_LONG reductionBegin, CUDA_LONG reductionChunkSize)
+        {
+            // map id (location on grid) to index[k]
+            C_size_t index = id;                      // this dimension
+            // apply this index to the pointers
+            for (C_size_t i = 0; i < N; i++)
+                pointers[i] += index * regularStrides(i,0);    // now this dimension is taken care of
+            // process the previous index
+            TensorOpElement<ElemType, N, M, K, parallelReduce, -1>::Compute(/*id*/0, beta, pointers, alpha, op, regularOpStrides, regularStrides, reducingOpDims, reducingStrides, reductionBegin, reductionChunkSize);
+        }
+    };
+
+    //// apply beta and alpha and save
+    //template<class ElemType, class PointersType>
+    //static __device__ void SetFinalValue(ElemType val, ElemType beta, const PointersType & pointers, ElemType alpha)
+    //{
+    //    // scale
+    //    val *= alpha;
+    //    // combine with previous value in target matrix, then write it out
+    //    auto * pout = pointers[pointers.size() - 1];
+    //    if (beta != 0)
+    //        val += beta * *pout;
+    //    // save
+    //    *pout = val;
+    //}
+
+    // specialization for k = -1 terminates the template recursion, and computes reductions in a for loop
+    template<class ElemType, C_size_t N, C_int M, C_int K>
+    struct TensorOpElement<ElemType, N, M, K, /*parallelReduce=*/false, /*k=*/-1>
+    {
+        // template-recursion-teminating version computes the actual value for this output location
+        // now the output pointers point to the right element (input pointers may still iterate for reduction)
+        static __device__ void Compute(CUDA_LONG /*id*/, ElemType beta, FixedArray<ElemType*, N> & pointers, ElemType alpha, ElementWiseOperator op,
+                                       const FixedArray<C_unsigned_int, K> & /*regularOpStrides*/, const FixedMatrix<C_int, N, K> & /*regularStrides*/,
+                                       const FixedArray<C_unsigned_int, M> & reducingOpDims, const FixedMatrix<C_int, N, M> & reducingStrides, CUDA_LONG /*reductionBegin*/, CUDA_LONG /*reductionChunkSize*/)
+        {
+            // compute the operation for this output coordinate
+            // This may still involve a reduction over inverse-broadcasting dimensions.
+            ElemType val = TensorOpReduce<ElemType, N, M, M - 1>::Compute(pointers, op, reducingOpDims, reducingStrides);
+            // scale
+            val *= alpha;
+            // combine with previous value in target matrix, then write it out
+            auto * pout = pointers[pointers.size() - 1];
+            if (beta != 0)
+                val += beta * *pout;
+            // save
+            *pout = val;
+        }
+    };
+
+    // specialization for k = -1 terminates the template recursion, and computes reductions in parallel
+    template<class ElemType, C_size_t N, C_int M, C_int K>
+    struct TensorOpElement<ElemType, N, M, K, /*parallelReduce=*/true, /*k=*/-1>
+    {
+        // template-recursion-teminating version computes the actual value for this output location
+        // now the output pointers point to the right element (input pointers may still iterate for reduction)
+        static __device__ void Compute(CUDA_LONG /*id*/, ElemType beta, FixedArray<ElemType*, N> & pointers, ElemType alpha, ElementWiseOperator op,
+                                       const FixedArray<C_unsigned_int, K> & /*regularOpStrides*/, const FixedMatrix<C_int, N, K> & /*regularStrides*/,
+                                       const FixedArray<C_unsigned_int, M> & reducingOpDims,       const FixedMatrix<C_int, N, M> & reducingStrides, CUDA_LONG reductionBegin, CUDA_LONG reductionChunkSize)
+        {
+            CUDA_LONG reductionBlock = blockIdx.z;          // block index  --larger reductions are split into blocks
+            CUDA_LONG reductionBlocks = gridDim.z;          // number of blocks
+            CUDA_LONG tid = threadIdx.x;                    // thread index
+            CUDA_LONG tids = blockDim.x;                    // out of how many threads  --note: last block is partial
+
+            // determine our range  --this is a single int mul, we can stomach it (we could alternatively pass in yet another parameter)
+            CUDA_LONG reductionDim = (CUDA_LONG)reducingOpDims[0];
+            for (C_size_t i = 1; i < reducingOpDims.size(); i++)
+                reductionDim *= reducingOpDims[i];
+
+            // determine the redId range that we operate on
+            // Each thread takes a stride tid + (multiples of tids) within this range.
+            reductionBegin += reductionChunkSize * reductionBlock;
+            CUDA_LONG reductionEnd = min(reductionBegin + reductionChunkSize, reductionDim);
+
+            // compute the operation for this input coordinate
+            ReduceElemType sum = 0;
+            for (CUDA_LONG redId = reductionBegin + tid; redId < reductionEnd; redId += tids)
+            {
+                auto val = TensorOpParallelReduce<ElemType, N, M, M - 1>::Compute(redId, pointers, op, reducingOpDims, reducingStrides);
+                sum += val;
+            }
+
+            // reduce    --cf https://docs.nvidia.com/cuda/samples/6_Advanced/reduction/doc/reduction.pdf
+            __shared__ ReduceElemType accumulators[GridDim::maxThreadsPerBlock/*tids*/];
+            accumulators[tid] = sum;
+            __syncthreads();
+            static_assert(GridDim::maxThreadsPerBlock <= 512, "GridDim::maxThreadsPerBlock too large, need to add manually unrolled steps");
+            for (CUDA_LONG i = 256; i; i >>= 1)
+            {
+                if (tid < i && tid + i < tids) accumulators[tid] += accumulators[tid + i];
+                if (0 + i < tids) __syncthreads();    // sync if condition true for at least one thread
+            }
+
+            // now set final value to output coordinate
+            if (tid == 0)
+            {
+                ElemType val = (ElemType)accumulators[0];
+                // scale
+                val *= alpha;
+                // combine with previous value in target matrix, then write it out
+                auto * pout = pointers[pointers.size() - 1];
+                if (reductionBlocks > 1)        // multiple blocks: need to use atomicAdd()
+                {
+                    // in this case, outer calling code must pass beta = 1
+                    val = atomicAdd(pout, val);
+                }
+                else
+                {
+                    if (beta != 0)
+                        val += beta * *pout;
+                    // save
+                    *pout = val;
+                }
+            }
+        }
+    };
+
+    // -----------------------------------------------------------------------
+    // kernel and launch  --no reduction
+    // -----------------------------------------------------------------------
+
+    // launch tensor op with CUDA
+    template<class ElemType, C_size_t N, C_int M, C_int K>
+    __global__ void _launchTensorOp(ElemType beta, FixedArray<ElemType*, N> pointers, ElemType alpha, ElementWiseOperator op,
+                                    FixedArray<C_unsigned_int, K> regularOpStrides, FixedMatrix<C_int, N, K> regularStrides,  CUDA_LONG numElements,
+                                    FixedArray<C_unsigned_int, M> reducingOpDims,   FixedMatrix<C_int, N, M> reducingStrides)
+    {
+        CUDA_LONG id = GridDim::GetLinearThreadId();
+        if (id < numElements)       // note: there are no __syncthread() calls inside
+            TensorOpElement<ElemType, N, M, K, false, K - 1>::Compute(id, beta, pointers, alpha, op, regularOpStrides, regularStrides, reducingOpDims, reducingStrides, 0, 0);
+    }
+
+    template<class ElemType, C_size_t N, C_int K>
+    static void LaunchTensorOp(ElemType beta, array<ElemType*, N> pointerVector, ElemType alpha, ElementWiseOperator op,
+                               const SmallVector<size_t> & regularOpDims,       const array<SmallVector<ptrdiff_t>, N> & regularStrideVectors)
+    {
+        // copy all parameters to CUDA-compatible data structures
+        FixedArray<ElemType*, N> pointers(pointerVector);
+        SmallVector<C_size_t> regularOpStrideVector;    // kernel needs the strides for converting thread index back to multi-dimensional tensor index
+        C_size_t numElements = 1;
+        for (C_size_t k = 0; k < regularOpDims.size(); k++)
+        {
+            regularOpStrideVector.push_back(numElements);
+            numElements *= (C_size_t)regularOpDims[k];
+        }
+        FixedArray<C_unsigned_int, K> regularOpStrides(regularOpStrideVector);
+        FixedMatrix<C_int, N, K> regularStrides(regularStrideVectors);
+        FixedArray<C_unsigned_int, /*M=*/0> reducingOpDims;
+        FixedMatrix<C_int, N, /*M=*/0> reducingStrides;
+
+        // launch the kernel
+        CUDA_LONG NN = (CUDA_LONG)numElements;      // linear space identifying each individual input element
+        cudaEvent_t done = nullptr;
+        if (do_sync)    CUDA_CALL(cudaEventCreate(&done));
+        GridDim grid(NN);
+        _launchTensorOp<ElemType, N, /*M=*/0, K> << <grid.m_blocksPerGrid, grid.m_threadsPerBlock, 0, t_stream >> >(beta, pointers, alpha, op, regularOpStrides, regularStrides, grid.m_N, reducingOpDims, reducingStrides);
+        if (do_sync)    CUDA_CALL(cudaEventRecord(done));
+        if (do_sync)    CUDA_CALL(cudaEventSynchronize(done));
+        if (do_sync)    CUDA_CALL(cudaEventDestroy(done));
+    }
+
+    // -----------------------------------------------------------------------
+    // kernel and launch  --with reduction
+    // -----------------------------------------------------------------------
+
+    template<class ElemType, C_size_t N, C_int M, C_int K>
+    __global__ void _launchTensorOpWithReduction(ElemType beta, FixedArray<ElemType*, N> pointers, ElemType alpha, ElementWiseOperator op,
+                                                 FixedArray<C_unsigned_int, K> regularOpStrides, FixedMatrix<C_int, N, K> regularStrides,  CUDA_LONG numElements,
+                                                 FixedArray<C_unsigned_int, M> reducingOpDims,   FixedMatrix<C_int, N, M> reducingStrides, CUDA_LONG reductionBegin, CUDA_LONG reductionChunkSize)
+    {
+        CUDA_LONG id = gridDim.x * blockIdx.y + blockIdx.x;   // input dimensions are Y dimension of blocks in this case, so we can use thread dim for shared-memory/parallelization
+        if (id < numElements)       // note: we have __syncthread() calls but only entire blocks in sync, so this is OK
+            TensorOpElement<ElemType, N, M, K, true, K - 1>::Compute(id, beta, pointers, alpha, op, regularOpStrides, regularStrides, reducingOpDims, reducingStrides, reductionBegin, reductionChunkSize);
+    }
+
+    // All dimensions (N-ariness, number of input dimensions K and number of reduction dimensions M) are bound to template parameters now.
+    template<class ElemType, C_size_t N, C_int M, C_int K>
+    static void LaunchTensorOpWithReduction(ElemType beta, array<ElemType*, N> pointerVector, ElemType alpha, ElementWiseOperator op,
+                                            const SmallVector<size_t> & regularOpDims,       const array<SmallVector<ptrdiff_t>, N> & regularStrideVectors,
+                                            const SmallVector<size_t> & reducingOpDimVector, const array<SmallVector<ptrdiff_t>, N> & reducingStrideVectors)
+    {
+        // copy all parameters to CUDA-compatible data structures
+        FixedArray<ElemType*, N> pointers(pointerVector);
+        SmallVector<C_size_t> regularOpStrideVector;    // kernel needs the strides for converting thread index back to multi-dimensional tensor index
+        C_size_t numElements = 1;
+        for (C_size_t k = 0; k < regularOpDims.size(); k++)
+        {
+            regularOpStrideVector.push_back(numElements);
+            numElements *= (C_size_t)regularOpDims[k];
+        }
+        FixedArray<C_unsigned_int, K> regularOpStrides(regularOpStrideVector);
+        FixedMatrix<C_int, N, K> regularStrides(regularStrideVectors);
+        FixedArray<C_unsigned_int, M> reducingOpDims(reducingOpDimVector);
+        FixedMatrix<C_int, N, M> reducingStrides(reducingStrideVectors);
+
+        // launch the kernel
+        CUDA_LONG NN = (CUDA_LONG)numElements;      // linear space identifying each individual input element
+        cudaEvent_t done = nullptr;
+        if (do_sync)    CUDA_CALL(cudaEventCreate(&done));
+
+        // do some optimization for reductions
+        // Cases:
+        //  - #output elements >= GPU procs  -->  use one proc per element, do reduction in inner loop
+        //  - reduction dimension fits into a single kernel  -->  launch it that way
+        //  - reduction dimension requires multiple kernels  -->  use atomic add, to avoid temp mem alloc
+        //     - PlusNode: reducing to a bias for small matrices
+        //     - ScaleNode: big elementwise product reduced to a scalar (dot product)
+        //     - E.g. 3072 GPU procs:
+        //       If >= 3072 reduced output values must be computed, just loop inside.
+        //       If less, and reduction per value does not fit into a single proc,
+        //       then we break it into procs, say, 24.
+        //       This way we will need 24 atomicAdd()s of 3072/24 = 128 values.
+        //       If reduction is along stride=1, then we'd have 24 atomicAdd()s of 32 coalesced writes.
+        //       Does not sound scary at all.
+        //       Precondition: matrix cannot at the same time participate in reduction and operation.
+        C_size_t reductionDim = 1;  // number of elements to reduce over
+        for (C_size_t k = 0; k < reducingOpDimVector.size(); k++)
+            reductionDim *= (C_size_t)reducingOpDimVector[k];
+        let & props = GridDim::GetDeviceProps();
+        GridDim grid(NN);
+        if (reductionDim > 1 && grid.m_blocksPerGrid < props.multiProcessorCount  /*    && NN == 10 && reductionDim <= GridDim::maxThreadsPerBlock*/)
+        {
+            // we are reducing and are underutilizing the multiprocs we have: get more parallelism by doing reduction in parallel
+            // Change of strategy: All NN elements get their own block. Reduction gets split over blocks as well.
+
+            // By how much do we underutilize?
+            // We increase #blocks by that factor by breaking reduction into that many chunks.
+            let numReductionChunks = CeilDiv(props.multiProcessorCount, NN);
+
+            // NN may be too large for a single dimension
+            let blockXOverBy = CeilDiv(NN, props.maxGridSize[0]);
+            let numBlocksX = CeilDiv(NN, blockXOverBy);
+            let numBlocksY = CeilDiv(NN, numBlocksX);
+            let numBlocksZ = numReductionChunks;
+            // Block dim is now:
+            //  - X, Y: such that X*Y covers NN
+            //  - Z: reduction chunks
+
+            // reduction goes into thread dim X
+            let reductionChunkSize = CeilDiv(reductionDim, numReductionChunks);
+            let numThreadsX = min(reductionChunkSize, GridDim::maxThreadsPerBlock); // any that's over will be done by looping inside the kernel
+
+            if (beta == 1 || numBlocksZ == 1)
+            {
+                _launchTensorOpWithReduction<ElemType, N, M, K> << <dim3(numBlocksX, numBlocksY, numBlocksZ), numThreadsX, numThreadsX * sizeof(ReduceElemType), t_stream >> >(/*beta=*/1, pointers, alpha, op, regularOpStrides, regularStrides, NN, reducingOpDims, reducingStrides, 0, reductionChunkSize);
+            }
+            else
+            {
+                // We need more than one chunk, we will use atomicAdd().
+                // First reset/pre-multiply input; then do the remaining chunks using atomicAdd().
+                _launchTensorOpWithReduction<ElemType, N, M, K> << <dim3(numBlocksX, numBlocksY, 1), numThreadsX, numThreadsX * sizeof(ReduceElemType), t_stream >> >(beta, pointers, alpha, op, regularOpStrides, regularStrides, NN, reducingOpDims, reducingStrides, 0, reductionChunkSize);
+                _launchTensorOpWithReduction<ElemType, N, M, K> << <dim3(numBlocksX, numBlocksY, numBlocksZ - 1), numThreadsX, numThreadsX * sizeof(ReduceElemType), t_stream >> >(/*beta=*/1, pointers, alpha, op, regularOpStrides, regularStrides, NN, reducingOpDims, reducingStrides, reductionChunkSize, reductionChunkSize);
+            }
+        }
+        else
+        {
+            // we got enough elements to generate: do one element per thread, and reduction inside
+            _launchTensorOp<ElemType, N, M, K> << <grid.m_blocksPerGrid, grid.m_threadsPerBlock, 0, t_stream >> >(beta, pointers, alpha, op, regularOpStrides, regularStrides, grid.m_N, reducingOpDims, reducingStrides);
+        }
+        if (do_sync)    CUDA_CALL(cudaEventRecord(done));
+        if (do_sync)    CUDA_CALL(cudaEventSynchronize(done));
+        if (do_sync)    CUDA_CALL(cudaEventDestroy(done));
+    }
+
+    // -----------------------------------------------------------------------
+    // kernel and launch  --linear unary
+    // -----------------------------------------------------------------------
+
+    // for linear unary ops, we need to define a functor for every function for use as a template parameter (lambda syntax doesn't work in CUDA 7)
+    #define DefineUnaryTensorFunctor(oper) \
+        struct Functor ## oper { template<class ElemType> static __device__ ElemType f(ElemType a) { return Op ## oper(a); } };
+    ForAllUnaryOps(DefineUnaryTensorFunctor);
+
+    // the top-level kernel for linear unary ops
+    // Note: If we have a beta, we have 2 memory accesses, so this optimization may no longer be needed as we are memory-bound.
+    template<class ElemType, class FN>
+    __global__ void _launchUnaryTensorOp(ElemType beta, const ElemType * pa, ElemType * pb, ElemType alpha, CUDA_LONG numElements)
+    {
+        CUDA_LONG id = GridDim::GetLinearThreadId();
+        if (id >= numElements)
+            return;
+        ElemType a = pa[id];
+        ElemType val = FN::f(a);
+        val *= alpha;
+        if (beta != 0)
+            val += beta * pb[id];
+        pb[id] = val;
+    }
+    // version without beta and alpha
+    template<class ElemType, class FN>
+    __global__ void _launchUnaryTensorOp(const ElemType * pa, ElemType * pb, CUDA_LONG numElements)
+    {
+        CUDA_LONG id = GridDim::GetLinearThreadId();
+        if (id >= numElements)
+            return;
+        ElemType a = pa[id];
+        ElemType val = FN::f(a);
+        pb[id] = val;
+    }
+
+    // special case of linear unary operation
+    template<class ElemType>
+    void LaunchUnaryTensorOp(ElemType beta, const ElemType * pa, ElemType * pb, ElemType alpha, ElementWiseOperator op, size_t regularOpDim)
+    {
+//////if (op == 1)fprintf(stderr, "LaunchUnaryTensorOp: %d", (int)__LINE__);
+        CUDA_LONG NN = (CUDA_LONG)regularOpDim;
+
+        #define CaseLaunchUnaryTensorOp(oper) case ElementWiseOperator::op ## oper: \
+            if (beta == 0 && alpha == 1) \
+                return _launchUnaryTensorOp<ElemType,Functor ## oper> << <grid.m_blocksPerGrid, grid.m_threadsPerBlock, 0, t_stream >> >(pa, pb, NN); \
+            else \
+                return _launchUnaryTensorOp<ElemType,Functor ## oper> << <grid.m_blocksPerGrid, grid.m_threadsPerBlock, 0, t_stream >> >(beta, pa, pb, alpha, NN);
+
+        cudaEvent_t done = nullptr;
+        if (do_sync)    CUDA_CALL(cudaEventCreate(&done));
+        GridDim grid(NN);
+        switch (op)
+        {
+        ForAllUnaryOps(CaseLaunchUnaryTensorOp);
+        default: LogicError("LaunchTensorOp1: Unknown op code %d.", (int)op);
+        }
+        if (do_sync)    CUDA_CALL(cudaEventRecord(done));
+        if (do_sync)    CUDA_CALL(cudaEventSynchronize(done));
+        if (do_sync)    CUDA_CALL(cudaEventDestroy(done));
+    }
+
+    // -----------------------------------------------------------------------
+    // map runtime parameters N to template parameters
+    // -----------------------------------------------------------------------
+
+    // tensor operation with k+1 dimensions (-1 means scalar)
+    template<class ElemType, C_size_t N, C_int K>
+    static void TensorOpWithRegularLoop(ElemType beta, const array<ElemType*, N> & pointers, ElemType alpha, ElementWiseOperator op,
+                                        const SmallVector<size_t> & regularOpDims,  const array<SmallVector<ptrdiff_t>, N> & regularStrides,
+                                        const SmallVector<size_t> & reducingOpDims, const array<SmallVector<ptrdiff_t>, N> & reducingStrides)
+    {
+        size_t dims = reducingOpDims.size();
+        switch (dims)
+        {
+        case 2: return LaunchTensorOpWithReduction<ElemType, N, 2, K>(beta, pointers, alpha, op, regularOpDims, regularStrides, reducingOpDims, reducingStrides);
+        case 1: return LaunchTensorOpWithReduction<ElemType, N, 1, K>(beta, pointers, alpha, op, regularOpDims, regularStrides, reducingOpDims, reducingStrides);
+        case 0: return LaunchTensorOp<ElemType, N, K>(beta, pointers, alpha, op, regularOpDims, regularStrides);
+        default: LogicError("TensorOp: %d non-flattened reduction dimensions are not supported.", (C_int)dims);
+        }
+    }
+
+    // tensor operation, generalized in number of arguments
+    // This function now expands into different k. It also eliminates the offsets by adding them to the pointers.
+    template<class ElemType, C_size_t N>
+    void TensorOpN(ElemType beta, array<ElemType*, N> pointers, ElemType alpha, ElementWiseOperator op,
+                        const array<size_t, N> & offsets,
+                        const SmallVector<size_t> & regularOpDims,  const array<SmallVector<ptrdiff_t>, N> & regularStrides,
+                        const SmallVector<size_t> & reducingOpDims, const array<SmallVector<ptrdiff_t>, N> & reducingStrides)
+    {
+        for (C_size_t i = 0; i < N; i++)  // N = a small constant, this will be unrolled
+            pointers[i] += offsets[i];
+        size_t dims = regularOpDims.size();
+        switch (dims)
+        {
+        case 4: return TensorOpWithRegularLoop<ElemType, N, 4>(beta, pointers, alpha, op, regularOpDims, regularStrides, reducingOpDims, reducingStrides);
+        case 3: return TensorOpWithRegularLoop<ElemType, N, 3>(beta, pointers, alpha, op, regularOpDims, regularStrides, reducingOpDims, reducingStrides);
+        case 2: return TensorOpWithRegularLoop<ElemType, N, 2>(beta, pointers, alpha, op, regularOpDims, regularStrides, reducingOpDims, reducingStrides);
+        case 1: return TensorOpWithRegularLoop<ElemType, N, 1>(beta, pointers, alpha, op, regularOpDims, regularStrides, reducingOpDims, reducingStrides);
+        case 0: return TensorOpWithRegularLoop<ElemType, N, 0>(beta, pointers, alpha, op, regularOpDims, regularStrides, reducingOpDims, reducingStrides);
+        default: LogicError("TensorOp: %d non-flattened input dimensions are not supported.", (C_int)dims);
+        }
+    }
+
+    //------------------------------------------------------------------------
+    // explicit instantiations--these are being called from GPUMatrix.cu
+    //------------------------------------------------------------------------
+
+    template void TensorOpN<float,  2>(float beta, array<float*, 2> pointers, float alpha, ElementWiseOperator op,
+                                       const array<size_t, 2> & offsets,
+                                       const SmallVector<size_t> & regularOpDims,  const array<SmallVector<ptrdiff_t>, 2> & regularStrides,
+                                       const SmallVector<size_t> & reducingOpDims, const array<SmallVector<ptrdiff_t>, 2> & reducingStrides);
+    template void TensorOpN<float,  3>(float beta, array<float*, 3> pointers, float alpha, ElementWiseOperator op,
+                                       const array<size_t, 3> & offsets,
+                                       const SmallVector<size_t> & regularOpDims,  const array<SmallVector<ptrdiff_t>, 3> & regularStrides,
+                                       const SmallVector<size_t> & reducingOpDims, const array<SmallVector<ptrdiff_t>, 3> & reducingStrides);
+    template void TensorOpN<float,  4>(float beta, array<float*, 4> pointers, float alpha, ElementWiseOperator op,
+                                       const array<size_t, 4> & offsets,
+                                       const SmallVector<size_t> & regularOpDims,  const array<SmallVector<ptrdiff_t>, 4> & regularStrides,
+                                       const SmallVector<size_t> & reducingOpDims, const array<SmallVector<ptrdiff_t>, 4> & reducingStrides);
+    template void TensorOpN<double, 2>(double beta, array<double*, 2> pointers, double alpha, ElementWiseOperator op,
+                                       const array<size_t, 2> & offsets,
+                                       const SmallVector<size_t> & regularOpDims,  const array<SmallVector<ptrdiff_t>, 2> & regularStrides,
+                                       const SmallVector<size_t> & reducingOpDims, const array<SmallVector<ptrdiff_t>, 2> & reducingStrides);
+    template void TensorOpN<double, 3>(double beta, array<double*, 3> pointers, double alpha, ElementWiseOperator op,
+                                       const array<size_t, 3> & offsets,
+                                       const SmallVector<size_t> & regularOpDims,  const array<SmallVector<ptrdiff_t>, 3> & regularStrides,
+                                       const SmallVector<size_t> & reducingOpDims, const array<SmallVector<ptrdiff_t>, 3> & reducingStrides);
+    template void TensorOpN<double, 4>(double beta, array<double*, 4> pointers, double alpha, ElementWiseOperator op,
+                                       const array<size_t, 4> & offsets,
+                                       const SmallVector<size_t> & regularOpDims,  const array<SmallVector<ptrdiff_t>, 4> & regularStrides,
+                                       const SmallVector<size_t> & reducingOpDims, const array<SmallVector<ptrdiff_t>, 4> & reducingStrides);
+
+    template void LaunchUnaryTensorOp(float beta, const float * pa, float * pb, float alpha, ElementWiseOperator op, size_t regularOpDim);
+    template void LaunchUnaryTensorOp(double beta, const double * pa, double * pb, double alpha, ElementWiseOperator op, size_t regularOpDim);
+
+}}}
+
+#endif // CPUONLY
diff --git a/Source/Math/GPUTensor.h b/Source/Math/GPUTensor.h
new file mode 100644
index 000000000..954be8aad
--- /dev/null
+++ b/Source/Math/GPUTensor.h
@@ -0,0 +1,30 @@
+//
+// <copyright file="GPUTensor.h" company="Microsoft">
+//     Copyright (c) Microsoft Corporation.  All rights reserved.
+// </copyright>
+//
+
+#pragma once
+#include "CommonMatrix.h"
+#include "DataTensor.h" // only for SmallVector; I was hoping to keep this out
+#include "GPUMatrixCUDAKernels.cuh"
+#include <array>
+
+namespace Microsoft { namespace MSR { namespace CNTK {
+
+    // GPUMatrix::TensorOp() interfaces with actual tensor code through these two functions, which are independent of the GPUMatrix class
+
+#define C_size_t       CUDA_LONG
+#define C_int          CUDA_LONG
+#define C_unsigned_int CUDA_LONG
+
+    template<class ElemType, C_size_t N>
+    void TensorOpN(ElemType beta, array<ElemType*, N> pointers, ElemType alpha, ElementWiseOperator op,
+                   const array<size_t, N> & offsets,
+                   const SmallVector<size_t> & regularOpDims,  const array<SmallVector<ptrdiff_t>, N> & regularStrides,
+                   const SmallVector<size_t> & reducingOpDims, const array<SmallVector<ptrdiff_t>, N> & reducingStrides);
+
+    template<class ElemType>
+    void LaunchUnaryTensorOp(ElemType beta, const ElemType * pa, ElemType * pb, ElemType alpha, ElementWiseOperator op, size_t regularOpDim);
+
+}}}
diff --git a/Source/Math/Math.vcxproj.filters b/Source/Math/Math.vcxproj.filters
index f98fd259a..c828e33db 100644
--- a/Source/Math/Math.vcxproj.filters
+++ b/Source/Math/Math.vcxproj.filters
@@ -1,9 +1,7 @@
 <?xml version="1.0" encoding="utf-8"?>
 <Project ToolsVersion="4.0" xmlns="http://schemas.microsoft.com/developer/msbuild/2003">
   <ItemGroup>
-    <ClCompile Include="dllmain.cpp" />
     <ClCompile Include="Matrix.cpp" />
-    <ClCompile Include="stdafx.cpp" />
     <ClCompile Include="..\Common\File.cpp">
       <Filter>Common</Filter>
     </ClCompile>
@@ -25,22 +23,31 @@
     <ClCompile Include="MatrixQuantizerCPU.cpp">
       <Filter>CPU\1bitSGD</Filter>
     </ClCompile>
-    <ClCompile Include="MatrixQuantizer.cpp" />
-    <ClCompile Include="QuantizedMatrix.cpp" />
     <ClCompile Include="CUDAPageLockedMemAllocator.cpp">
       <Filter>GPU\1bitSGD</Filter>
     </ClCompile>
-    <ClCompile Include="ConvolutionEngine.cpp" />
     <ClCompile Include="TensorView.cpp">
       <Filter>Tensors</Filter>
     </ClCompile>
+    <ClCompile Include="dllmain.cpp">
+      <Filter>Misc</Filter>
+    </ClCompile>
+    <ClCompile Include="ConvolutionEngine.cpp">
+      <Filter>Convolution</Filter>
+    </ClCompile>
+    <ClCompile Include="stdafx.cpp">
+      <Filter>Misc</Filter>
+    </ClCompile>
+    <ClCompile Include="QuantizedMatrix.cpp">
+      <Filter>1bitSGD</Filter>
+    </ClCompile>
+    <ClCompile Include="MatrixQuantizer.cpp">
+      <Filter>1bitSGD</Filter>
+    </ClCompile>
   </ItemGroup>
   <ItemGroup>
     <ClInclude Include="CommonMatrix.h" />
-    <ClInclude Include="Helpers.h" />
     <ClInclude Include="Matrix.h" />
-    <ClInclude Include="stdafx.h" />
-    <ClInclude Include="targetver.h" />
     <ClInclude Include="..\Common\Include\File.h">
       <Filter>Common\Include</Filter>
     </ClInclude>
@@ -59,14 +66,10 @@
     <ClInclude Include="MatrixQuantizerCPU.h">
       <Filter>CPU\1bitSGD</Filter>
     </ClInclude>
-    <ClInclude Include="MatrixQuantizer.h" />
-    <ClInclude Include="QuantizedMatrix.h" />
     <ClInclude Include="MemAllocator.h" />
     <ClInclude Include="CUDAPageLockedMemAllocator.h">
       <Filter>GPU\1bitSGD</Filter>
     </ClInclude>
-    <ClInclude Include="..\Common\Include\DebugUtil.h" />
-    <ClInclude Include="ConvolutionEngine.h" />
     <ClInclude Include="TensorView.h">
       <Filter>Tensors</Filter>
     </ClInclude>
@@ -76,6 +79,27 @@
     <ClInclude Include="..\Common\Include\DataTensor.h">
       <Filter>Common\Include</Filter>
     </ClInclude>
+    <ClInclude Include="Helpers.h">
+      <Filter>Misc</Filter>
+    </ClInclude>
+    <ClInclude Include="..\Common\Include\DebugUtil.h">
+      <Filter>Common\Include</Filter>
+    </ClInclude>
+    <ClInclude Include="ConvolutionEngine.h">
+      <Filter>Convolution</Filter>
+    </ClInclude>
+    <ClInclude Include="stdafx.h">
+      <Filter>Misc</Filter>
+    </ClInclude>
+    <ClInclude Include="targetver.h">
+      <Filter>Misc</Filter>
+    </ClInclude>
+    <ClInclude Include="QuantizedMatrix.h">
+      <Filter>1bitSGD</Filter>
+    </ClInclude>
+    <ClInclude Include="MatrixQuantizer.h">
+      <Filter>1bitSGD</Filter>
+    </ClInclude>
   </ItemGroup>
   <ItemGroup>
     <None Include="GPUMatrix.h">
@@ -113,5 +137,14 @@
     <Filter Include="Tensors">
       <UniqueIdentifier>{70fb07cf-603e-4444-bc10-f0add4920fd2}</UniqueIdentifier>
     </Filter>
+    <Filter Include="Misc">
+      <UniqueIdentifier>{62b92193-92d0-4e5b-8c3e-67ffd01a98c0}</UniqueIdentifier>
+    </Filter>
+    <Filter Include="Convolution">
+      <UniqueIdentifier>{3a49e94d-14ee-4ca1-a56e-a1472206a076}</UniqueIdentifier>
+    </Filter>
+    <Filter Include="1bitSGD">
+      <UniqueIdentifier>{546cacbd-253e-485b-8c8c-8b9ee0e2f631}</UniqueIdentifier>
+    </Filter>
   </ItemGroup>
 </Project>
\ No newline at end of file
diff --git a/Source/Math/MathCUDA.vcxproj b/Source/Math/MathCUDA.vcxproj
index 2b8e98040..1fdbc9942 100644
--- a/Source/Math/MathCUDA.vcxproj
+++ b/Source/Math/MathCUDA.vcxproj
@@ -157,7 +157,9 @@ if exist "$(CuDnnDll)" (xcopy /Y "$(CuDnnDll)" $(OutputPath))
     <ClInclude Include="cudalatticeops.h" />
     <ClInclude Include="cudalib.h" />
     <ClInclude Include="CuDnnConvolutionEngine.h" />
+    <ClInclude Include="GPUTensor.h" />
     <ClInclude Include="latticefunctionskernels.h" />
+    <ClInclude Include="TensorOps.h" />
     <ClInclude Include="ValueQuantizer.h" />
     <None Include="GPUWatcher.h">
       <FileType>CppHeader</FileType>
@@ -171,6 +173,9 @@ if exist "$(CuDnnDll)" (xcopy /Y "$(CuDnnDll)" $(OutputPath))
     <ClInclude Include="targetver.h" />
   </ItemGroup>
   <ItemGroup>
+    <CudaCompile Include="GPUTensor.cu">
+      <InterleaveSourceInPTX Condition="'$(Configuration)|$(Platform)'=='Release|x64'">true</InterleaveSourceInPTX>
+    </CudaCompile>
     <CudaCompile Include="cudalatticeops.cu">
       <FileType>CppCode</FileType>
     </CudaCompile>
@@ -202,7 +207,7 @@ if exist "$(CuDnnDll)" (xcopy /Y "$(CuDnnDll)" $(OutputPath))
     <CudaCompile Include="GPUMatrix.cu">
       <FileType>CppCode</FileType>
       <Keep Condition="'$(Configuration)|$(Platform)'=='Release|x64'">true</Keep>
-      <InterleaveSourceInPTX Condition="'$(Configuration)|$(Platform)'=='Release|x64'">true</InterleaveSourceInPTX>
+      <InterleaveSourceInPTX Condition="'$(Configuration)|$(Platform)'=='Release|x64'">false</InterleaveSourceInPTX>
     </CudaCompile>
     <CudaCompile Include="GPUMatrixCUDAKernels.cuh">
       <ExcludedFromBuild>true</ExcludedFromBuild>
diff --git a/Source/Math/MathCUDA.vcxproj.filters b/Source/Math/MathCUDA.vcxproj.filters
index d144bdc30..12a692eb7 100644
--- a/Source/Math/MathCUDA.vcxproj.filters
+++ b/Source/Math/MathCUDA.vcxproj.filters
@@ -22,25 +22,28 @@
     <CudaCompile Include="GPUMatrixCUDAKernels.cuh">
       <Filter>GPU</Filter>
     </CudaCompile>
+    <CudaCompile Include="GPUTensor.cu">
+      <Filter>GPU\Tensors</Filter>
+    </CudaCompile>
   </ItemGroup>
   <ItemGroup>
-    <ClCompile Include="stdafx.cpp" />
     <ClCompile Include="cudalattice.cpp">
       <Filter>GPU\SequenceTraining</Filter>
     </ClCompile>
     <ClCompile Include="cudalib.cpp">
       <Filter>GPU\SequenceTraining</Filter>
     </ClCompile>
-    <ClCompile Include="..\Common\DebugUtil.cpp" />
+    <ClCompile Include="..\Common\DebugUtil.cpp">
+      <Filter>Misc</Filter>
+    </ClCompile>
+    <ClCompile Include="stdafx.cpp">
+      <Filter>Misc</Filter>
+    </ClCompile>
     <ClCompile Include="CuDnnConvolutionEngine.cpp">
-      <Filter>GPU</Filter>
+      <Filter>GPU\Convolution</Filter>
     </ClCompile>
   </ItemGroup>
   <ItemGroup>
-    <ClInclude Include="CommonMatrix.h" />
-    <ClInclude Include="Helpers.h" />
-    <ClInclude Include="stdafx.h" />
-    <ClInclude Include="targetver.h" />
     <ClInclude Include="..\Common\Include\File.h">
       <Filter>Common\Include</Filter>
     </ClInclude>
@@ -80,8 +83,26 @@
     <ClInclude Include="latticefunctionskernels.h">
       <Filter>GPU\SequenceTraining</Filter>
     </ClInclude>
+    <ClInclude Include="GPUTensor.h">
+      <Filter>GPU\Tensors</Filter>
+    </ClInclude>
+    <ClInclude Include="Helpers.h">
+      <Filter>Misc</Filter>
+    </ClInclude>
+    <ClInclude Include="stdafx.h">
+      <Filter>Misc</Filter>
+    </ClInclude>
+    <ClInclude Include="targetver.h">
+      <Filter>Misc</Filter>
+    </ClInclude>
+    <ClInclude Include="CommonMatrix.h">
+      <Filter>from Math</Filter>
+    </ClInclude>
     <ClInclude Include="CuDnnConvolutionEngine.h">
-      <Filter>GPU</Filter>
+      <Filter>GPU\Convolution</Filter>
+    </ClInclude>
+    <ClInclude Include="TensorOps.h">
+      <Filter>from Math</Filter>
     </ClInclude>
   </ItemGroup>
   <ItemGroup>
@@ -105,14 +126,23 @@
     <Filter Include="GPU">
       <UniqueIdentifier>{cc9a219d-d8ab-484a-b253-fd2a29ad7c7c}</UniqueIdentifier>
     </Filter>
-    <Filter Include="Include">
-      <UniqueIdentifier>{3c982109-64b1-469a-8d85-2abdf12d636a}</UniqueIdentifier>
-    </Filter>
     <Filter Include="GPU\1bitSGD">
       <UniqueIdentifier>{3415233d-9ef7-41c6-abbb-cec1b4f8d14c}</UniqueIdentifier>
     </Filter>
     <Filter Include="GPU\SequenceTraining">
       <UniqueIdentifier>{6a3569b1-6c9e-47b3-870f-bb581349e75e}</UniqueIdentifier>
     </Filter>
+    <Filter Include="Misc">
+      <UniqueIdentifier>{3c982109-64b1-469a-8d85-2abdf12d636a}</UniqueIdentifier>
+    </Filter>
+    <Filter Include="GPU\Tensors">
+      <UniqueIdentifier>{16214e65-2d24-4e4c-a0dd-c37e505bda32}</UniqueIdentifier>
+    </Filter>
+    <Filter Include="from Math">
+      <UniqueIdentifier>{b1b59e2e-5c54-4e40-ad0a-1523ddeb63ba}</UniqueIdentifier>
+    </Filter>
+    <Filter Include="GPU\Convolution">
+      <UniqueIdentifier>{3155488f-128f-494e-858d-459b4cc9fab7}</UniqueIdentifier>
+    </Filter>
   </ItemGroup>
 </Project>
\ No newline at end of file
diff --git a/Source/Math/Matrix.cpp b/Source/Math/Matrix.cpp
index a4c81bc7c..3650db859 100644
--- a/Source/Math/Matrix.cpp
+++ b/Source/Math/Matrix.cpp
@@ -5189,11 +5189,11 @@ namespace Microsoft { namespace MSR { namespace CNTK {
 #pragma endregion Static BLAS Functions
 
     template<class ElemType>
-    void Matrix<ElemType>::TensorOp(ElemType beta, const Matrix<ElemType>& a, ElemType alpha, ElementWiseOperator op,
-                                    const array<size_t, 2> & offsets,
-                                    const vector<size_t> & regularOpDims,  const array<vector<ptrdiff_t>, 2> & regularStrides,
-                                    const vector<size_t> & reducingOpDims, const array<vector<ptrdiff_t>, 2> & reducingStrides)
-    {
+    void Matrix<ElemType>::TensorOp(ElemType beta, const Matrix<ElemType>& a, ElemType alpha, ElementWiseOperator op,
+                                    const array<size_t, 2> & offsets,
+                                    const SmallVector<size_t> & regularOpDims,  const array<SmallVector<ptrdiff_t>, 2> & regularStrides,
+                                    const SmallVector<size_t> & reducingOpDims, const array<SmallVector<ptrdiff_t>, 2> & reducingStrides)
+    {
         DecideAndMoveToRightDevice(*this, a);
 
         DISPATCH_MATRIX_ON_FLAG(this,
@@ -5203,14 +5203,14 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             NOT_IMPLEMENTED,
             NOT_IMPLEMENTED
             );
-    }
+    }
 
     template<class ElemType>
-    void Matrix<ElemType>::TensorOp(ElemType beta, const Matrix<ElemType>& a, const Matrix<ElemType>& b, ElemType alpha, ElementWiseOperator op,
-                                    const array<size_t, 3> & offsets,
-                                    const vector<size_t> & regularOpDims,  const array<vector<ptrdiff_t>, 3> & regularStrides,
-                                    const vector<size_t> & reducingOpDims, const array<vector<ptrdiff_t>, 3> & reducingStrides)
-    {
+    void Matrix<ElemType>::TensorOp(ElemType beta, const Matrix<ElemType>& a, const Matrix<ElemType>& b, ElemType alpha, ElementWiseOperator op,
+                                    const array<size_t, 3> & offsets,
+                                    const SmallVector<size_t> & regularOpDims,  const array<SmallVector<ptrdiff_t>, 3> & regularStrides,
+                                    const SmallVector<size_t> & reducingOpDims, const array<SmallVector<ptrdiff_t>, 3> & reducingStrides)
+    {
         DecideAndMoveToRightDevice(*this, a, b);
 
         DISPATCH_MATRIX_ON_FLAG(this,
@@ -5220,14 +5220,14 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             NOT_IMPLEMENTED,
             NOT_IMPLEMENTED
             );
-    }
+    }
 
     template<class ElemType>
-    void Matrix<ElemType>::TensorOp(ElemType beta, const Matrix<ElemType>& a, const Matrix<ElemType>& b, const Matrix<ElemType>& c, ElemType alpha, ElementWiseOperator op,
-                                    const array<size_t, 4> & offsets,
-                                    const vector<size_t> & regularOpDims,  const array<vector<ptrdiff_t>, 4> & regularStrides,
-                                    const vector<size_t> & reducingOpDims, const array<vector<ptrdiff_t>, 4> & reducingStrides)
-    {
+    void Matrix<ElemType>::TensorOp(ElemType beta, const Matrix<ElemType>& a, const Matrix<ElemType>& b, const Matrix<ElemType>& c, ElemType alpha, ElementWiseOperator op,
+                                    const array<size_t, 4> & offsets,
+                                    const SmallVector<size_t> & regularOpDims,  const array<SmallVector<ptrdiff_t>, 4> & regularStrides,
+                                    const SmallVector<size_t> & reducingOpDims, const array<SmallVector<ptrdiff_t>, 4> & reducingStrides)
+    {
         DecideAndMoveToRightDevice(*this, a, b, c);
 
         DISPATCH_MATRIX_ON_FLAG(this,
@@ -5237,7 +5237,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             NOT_IMPLEMENTED,
             NOT_IMPLEMENTED
             );
-    }
+    }
 
     template class Matrix<float>; 
     template class Matrix<double>;    
diff --git a/Source/Math/Matrix.h b/Source/Math/Matrix.h
index e8fcb8e22..6eab0fa47 100644
--- a/Source/Math/Matrix.h
+++ b/Source/Math/Matrix.h
@@ -13,8 +13,9 @@
 #include "Basics.h"
 #include "File.h"
 #include "CommonMatrix.h"
+#include "DataTensor.h" // only for SmallVector; I was hoping to keep this out
 #include <limits.h>
-#include <memory>   // for shared_ptr
+#include <memory>       // for shared_ptr
 #include <array>
 #include <initializer_list>
 
@@ -465,16 +466,16 @@ namespace Microsoft { namespace MSR { namespace CNTK {
 
         void TensorOp(ElemType beta, const Matrix<ElemType>& a, ElemType alpha, ElementWiseOperator op,
                       const std::array<size_t, 2> & offsets,
-                      const std::vector<size_t> & regularOpDims,  const std::array<std::vector<ptrdiff_t>, 2> & regularStrides,
-                      const std::vector<size_t> & reducingOpDims, const std::array<std::vector<ptrdiff_t>, 2> & reducingStrides);
+                      const SmallVector<size_t> & regularOpDims,  const std::array<SmallVector<ptrdiff_t>, 2> & regularStrides,
+                      const SmallVector<size_t> & reducingOpDims, const std::array<SmallVector<ptrdiff_t>, 2> & reducingStrides);
         void TensorOp(ElemType beta, const Matrix<ElemType>& a, const Matrix<ElemType>& b, ElemType alpha, ElementWiseOperator op,
                       const std::array<size_t, 3> & offsets,
-                      const std::vector<size_t> & regularOpDims,  const std::array<std::vector<ptrdiff_t>, 3> & regularStrides,
-                      const std::vector<size_t> & reducingOpDims, const std::array<std::vector<ptrdiff_t>, 3> & reducingStrides);
+                      const SmallVector<size_t> & regularOpDims,  const std::array<SmallVector<ptrdiff_t>, 3> & regularStrides,
+                      const SmallVector<size_t> & reducingOpDims, const std::array<SmallVector<ptrdiff_t>, 3> & reducingStrides);
         void TensorOp(ElemType beta, const Matrix<ElemType>& a, const Matrix<ElemType>& b, const Matrix<ElemType>& c, ElemType alpha, ElementWiseOperator op,
                       const std::array<size_t, 4> & offsets,
-                      const std::vector<size_t> & regularOpDims,  const std::array<std::vector<ptrdiff_t>, 4> & regularStrides,
-                      const std::vector<size_t> & reducingOpDims, const std::array<std::vector<ptrdiff_t>, 4> & reducingStrides);
+                      const SmallVector<size_t> & regularOpDims,  const std::array<SmallVector<ptrdiff_t>, 4> & regularStrides,
+                      const SmallVector<size_t> & reducingOpDims, const std::array<SmallVector<ptrdiff_t>, 4> & reducingStrides);
     public:
         void Read(File& stream);
         void Write(File& stream) const;
diff --git a/Source/Math/NoGPU.cpp b/Source/Math/NoGPU.cpp
index 830c99cee..694a7ef7d 100644
--- a/Source/Math/NoGPU.cpp
+++ b/Source/Math/NoGPU.cpp
@@ -13,6 +13,7 @@
 #include "GPUSparseMatrix.h"
 #include "MatrixQuantizerGPU.h"
 #include "CuDnnConvolutionEngine.h"
+#include "DataTensor.h"
 
 #pragma warning (disable: 4100) // unreferenced formal parameter, which is OK since all functions in here are dummies; disabling this allows to copy-paste prototypes here when we add new functions
 #pragma warning (disable: 4702) // unreachable code, which we get from the NOT_IMPLEMENTED macro which is OK
@@ -1066,18 +1067,18 @@ namespace Microsoft { namespace MSR { namespace CNTK {
     template<class ElemType>
     void GPUMatrix<ElemType>::TensorOp(ElemType beta, const GPUMatrix<ElemType>& a, ElemType alpha, ElementWiseOperator op,
         const array<size_t, 2> & offsets,
-        const vector<size_t> & regularOpDims,  const array<vector<ptrdiff_t>, 2> & regularStrides,
-        const vector<size_t> & reducingOpDims, const array<vector<ptrdiff_t>, 2> & reducingStrides) { }
+        const SmallVector<size_t> & regularOpDims,  const array<SmallVector<ptrdiff_t>, 2> & regularStrides,
+        const SmallVector<size_t> & reducingOpDims, const array<SmallVector<ptrdiff_t>, 2> & reducingStrides) { }
     template<class ElemType>
     void GPUMatrix<ElemType>::TensorOp(ElemType beta, const GPUMatrix<ElemType>& a, const GPUMatrix<ElemType>& b, ElemType alpha, ElementWiseOperator op,
         const array<size_t, 3> & offsets,
-        const vector<size_t> & regularOpDims,  const array<vector<ptrdiff_t>, 3> & regularStrides,
-        const vector<size_t> & reducingOpDims, const array<vector<ptrdiff_t>, 3> & reducingStrides) { }
+        const SmallVector<size_t> & regularOpDims,  const array<SmallVector<ptrdiff_t>, 3> & regularStrides,
+        const SmallVector<size_t> & reducingOpDims, const array<SmallVector<ptrdiff_t>, 3> & reducingStrides) { }
     template<class ElemType>
     void GPUMatrix<ElemType>::TensorOp(ElemType beta, const GPUMatrix<ElemType>& a, const GPUMatrix<ElemType>& b, const GPUMatrix<ElemType>& c, ElemType alpha, ElementWiseOperator op,
         const array<size_t, 4> & offsets,
-        const vector<size_t> & regularOpDims,  const array<vector<ptrdiff_t>, 4> & regularStrides,
-        const vector<size_t> & reducingOpDims, const array<vector<ptrdiff_t>, 4> & reducingStrides) { }
+        const SmallVector<size_t> & regularOpDims,  const array<SmallVector<ptrdiff_t>, 4> & regularStrides,
+        const SmallVector<size_t> & reducingOpDims, const array<SmallVector<ptrdiff_t>, 4> & reducingStrides) { }
 
     template<class ElemType>
     void GPUMatrix<ElemType>::CreateCurandObject(unsigned long seed, const char *caller)
diff --git a/Source/Math/TensorOps.h b/Source/Math/TensorOps.h
index 71ccc2270..2385b5026 100644
--- a/Source/Math/TensorOps.h
+++ b/Source/Math/TensorOps.h
@@ -25,18 +25,22 @@ namespace Microsoft { namespace MSR { namespace CNTK {
     // -----------------------------------------------------------------------
     // unified overloads for float/double math functions
     //
-    // Declare float and double versions of the functions f we need as f_(),
-    // e.g. exp_ -> exp(double), expf(float).
+    // Declare float and double versions of the functions x we need as x_().
+    // This macro overloads x_() with float and double arguments, and inlines the correct library function,
+    // e.g. exp_ -> exp(double), expf(float). This simplifies templated kernel code.
     // -----------------------------------------------------------------------
 
 #pragma push_macro("OverloadUnaryMathFns")
-    #define OverloadUnaryMathFns(func) \
-        DECL float func ## _(float arg) { return func ## f(arg); } \
-        DECL double func ## _(double arg) { return func(arg); }
+    #define OverloadUnaryMathFns(x) DECL float x ## _(float f) { return x ## f(f); } DECL double x ## _(double f) { return x(f); }
+
+    OverloadUnaryMathFns(exp);
+    OverloadUnaryMathFns(log);
+    OverloadUnaryMathFns(tanh);
+    OverloadUnaryMathFns(sqrt);
+    OverloadUnaryMathFns(fabs);
+    OverloadUnaryMathFns(cos);
+    OverloadUnaryMathFns(sin);
 
-    OverloadUnaryMathFns(fabs); OverloadUnaryMathFns(sqrt);
-    OverloadUnaryMathFns(exp); OverloadUnaryMathFns(log);
-    OverloadUnaryMathFns(tanh); OverloadUnaryMathFns(cos); OverloadUnaryMathFns(sin);
 #pragma push_macro("OverloadUnaryMathFns")
 
     // -----------------------------------------------------------------------
@@ -46,13 +50,30 @@ namespace Microsoft { namespace MSR { namespace CNTK {
     template<class ElemType>
     DECL ElemType Sigmoid(ElemType z)
     {
-        if (z >= 0)
+#if 1   // BUGBUG: Numerically bad. But if I don't use this, results change.
+        ElemType negElem = -z;
+        ElemType e = exp_(negElem);
+
+        return 1 / (e + 1);
+#else
+#if 1   // Efficient implementation that avoids to divergent CUDA code paths that both compute exp() [jdroppo]. This version compiles to PTX without branches.
+        ElemType q = exp_(-fabs_(z));
+        ElemType numer;
+        if (z > 0)                      // q = exp(-z)
+            numer = 1;
+        else                            // q = exp(z)
+            numer = q;
+        return numer / (1 + q);
+#else   // Reference code:
+        if (z > 0)
             return 1 / (1 + exp_(-z));
         else
         {
             ElemType v = exp_(z);
             return v / (1 + v);
         }
+#endif
+#endif
     }
 
     template<class ElemType>
@@ -75,7 +96,25 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         return sqrt_(z > 0 ? z : 0);
     }
 
-    // TODO: call this LogAdd() for consistency
+    template<class ElemType>
+    DECL ElemType ClippedLog(ElemType z)
+    {
+        return z < EPS_IN_LOG ? LOG_OF_EPS_IN_LOG : log_(z);
+    }
+
+    template<class ElemType>
+    DECL ElemType ClippedQuotient(ElemType a, ElemType b)
+    {
+        if (fabs(b) < EPS_IN_INVERSE)   // clip the denominator
+        {
+            if (b > 0)
+                b = EPS_IN_INVERSE;
+            else
+                b = -EPS_IN_INVERSE;
+        }
+        return a / b;
+    }
+
     template<typename ElemType>
     DECL ElemType LogAdd(ElemType x, ElemType y)
     {
@@ -95,37 +134,49 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         }
     }
 
+    template<class ElemType> DECL ElemType Sqr(ElemType z) { return z * z; }
+
     // -----------------------------------------------------------------------
     // ElementWiseOperator implementations
     //
     // Define a static function for every ElementWiseOperator (CommonMatrix.h).
     // -----------------------------------------------------------------------
 
+#pragma push_macro("DefNullaryOp")
+    #define DefNullaryOp(op, expr) template<class ElemType> DECL ElemType Op ## op() { return expr; }
+
+    DefNullaryOp(ConstOne, 1);
+#pragma pop_macro("DefNullaryOp")
+
 #pragma push_macro("DefUnaryOp")
     #define DefUnaryOp(op, expr) template<class ElemType> DECL ElemType Op ## op(ElemType a) { return expr; }
 
     DefUnaryOp(Copy, a);
     DefUnaryOp(Negate, -a); DefUnaryOp(Not, !a);
     DefUnaryOp(Abs, fabs_(a));
-    DefUnaryOp(Sigmoid, Sigmoid(a)); DefUnaryOp(SigmoidDerivative, SigmoidDerivative(a)); DefUnaryOp(Tanh, tanh_(a)); DefUnaryOp(Sqrt, Sqrt(a)); DefUnaryOp(Exp, exp_(a)); DefUnaryOp(Log, log_(a)); DefUnaryOp(LinearRectifierDerivative, LinearRectifierDerivative(a)); DefUnaryOp(Cosine, cos_(a)); DefUnaryOp(NegativeSine, -sin_(a));
+    DefUnaryOp(Sigmoid, Sigmoid(a)); DefUnaryOp(Tanh, tanh_(a)); DefUnaryOp(Sqrt, Sqrt(a)); DefUnaryOp(Exp, exp_(a)); DefUnaryOp(Log, ClippedLog(a)); DefUnaryOp(LinearRectifier, a > 0 ? a : 0); DefUnaryOp(Cosine, cos_(a));
 #pragma pop_macro("DefUnaryOp")
 
-    // parameterized unary ops
-    //DefUnaryOp(SaturateBetaAlpha); DefUnaryOp(SumAlpha); DefUnaryOp(SubDifferenceToAlpha); DefUnaryOp(SubDifferenceFromAlpha);
-
 #pragma push_macro("DefBinaryOp")
     #define DefBinaryOp(op, expr) template<class ElemType> DECL ElemType Op ## op(ElemType a, ElemType b) { return expr; }
 
-    DefBinaryOp(Sum, a + b); DefBinaryOp(Difference, a - b); DefBinaryOp(ElementwiseProduct, a*b); DefBinaryOp(ElementwiseQuotient, a / b);
+    DefBinaryOp(Sum, a + b); DefBinaryOp(Difference, a - b); DefBinaryOp(ElementwiseProduct, a * b); DefBinaryOp(ElementwiseQuotient, ClippedQuotient(a, b));
     DefBinaryOp(LogSum, LogAdd(a, b)); DefBinaryOp(Max, a > b ? a : b); DefBinaryOp(Min, a < b ? a : b);
     DefBinaryOp(EQ, a == b); DefBinaryOp(NE, a != b); DefBinaryOp(GT, a > b); DefBinaryOp(LT, a < b); DefBinaryOp(GE, a >= b); DefBinaryOp(LE, a <= b);
+    DefBinaryOp(And, (float)((!!a) && (!!b))); DefBinaryOp(Or, (float)((!!a) || (!!b))); DefBinaryOp(Xor, (float)((!!a) ^ (!!b)));
     DefBinaryOp(MaskNegative, b >= 0 ? a : 0);
+    DefBinaryOp(ElementwiseProductWithSigmoidDerivative, a * SigmoidDerivative(b));
+    DefBinaryOp(ElementwiseProductWithTanhDerivative, a * (1 - Sqr(tanh_(b))));
+    DefBinaryOp(ElementwiseProductWithExp, a * exp_(b));
+    DefBinaryOp(ElementwiseProductWithLinearRectifierDerivative, b > 0 ? a : 0);
+    DefBinaryOp(ElementwiseProductWithCosDerivative, a * -sin_(b));
+
 #pragma pop_macro("DefBinaryOp")
 
 #pragma push_macro("DefTernaryOp")
     #define DefTernaryOp(op, expr) template<class ElemType> DECL ElemType Op ## op(ElemType a, ElemType b, ElemType c) { return expr; }
 
-    DefTernaryOp(Cond, a ? b : c);
+    DefTernaryOp(Cond, a ? b : c); DefTernaryOp(Clip, a < b ? b : (a > c ? c : a));
 #pragma pop_macro("DefTernaryOp")
 
 }}}
diff --git a/Source/Math/TensorView.cpp b/Source/Math/TensorView.cpp
index 3e41673b0..ce115cba4 100644
--- a/Source/Math/TensorView.cpp
+++ b/Source/Math/TensorView.cpp
@@ -5,6 +5,14 @@
 // </copyright>
 //
 
+// TODO:
+//  - dimension inference in nodes
+//  - reduction on GPU is highly inefficient; test cases Image/QuickE2E PlusNode::BackpropTo() and ScaleNode::BackpropTo()
+//  - accuracy deviation in FullUtterance and SequenceTraining
+//  - TimesNode  --needs to specify reduction dimensions
+//  - ConvolutionNode   --needs to specify reduction dimensions
+//  - some nodes create new "dimensions" such as RowStack. Should that be an actual new tensor dimension?
+
 // This implements the TensorView class, which is a layer around Matrix that reinterprets its content as a generic tensor.
 
 #define _CRT_SECURE_NO_WARNINGS // "secure" CRT not available on all platforms  --add this at the top of all CPP files that give "function or variable may be unsafe" warnings
@@ -59,10 +67,10 @@ namespace Microsoft { namespace MSR { namespace CNTK {
 
     template<class ElemType, size_t N>
     static void PrepareTensorOperands(array<TensorShape, N> shapes, array<size_t, N> & offsets,
-                                      vector<size_t> & regularOpDims,
-                                      array<vector<ptrdiff_t>, N> & regularStrides,
-                                      vector<size_t> & reducingOpDims,
-                                      array<vector<ptrdiff_t>, N> & reducingStrides)
+                                      SmallVector<size_t> & regularOpDims,
+                                      array<SmallVector<ptrdiff_t>, N> & regularStrides,
+                                      SmallVector<size_t> & reducingOpDims,
+                                      array<SmallVector<ptrdiff_t>, N> & reducingStrides)
     {
         // massage TensorShapes
         // Note that TensorShapes here may be shapes are stored or shapes with stride magic applied.
@@ -76,12 +84,14 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             if (dims < shapes[i].GetRank())
                 dims = shapes[i].GetRank();
         for (size_t i = 0; i < N; i++)
-            shapes[i] = shapes[i].Pad(dims);
+            if (shapes[i].GetRank() < dims)
+                shapes[i].PadInPlace(dims);
+        // all shapes[] now have the same rank
 
         // determine operation shape (max over all dimensions)
-        vector<size_t> opDims(dims, 0);
+        SmallVector<size_t> opDims(shapes[0].GetDims());
         for (size_t k = 0; k < dims; k++)
-            for (size_t i = 0; i < N; i++)
+            for (size_t i = 1; i < N; i++)
                 opDims[k] = max(opDims[k], shapes[i][k]);
 
         // dimension compatibility check
@@ -108,26 +118,31 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             }
             // these dimensions can be merged
             for (size_t i = 0; i < N; i++)
-                shapes[i] = shapes[i].Flatten(k);               // TODO: overdoing the immutable thingy much?
-            opDims = TensorShape(opDims).Flatten(k).GetDims();  // (ugh)
+                shapes[i].FlattenInPlace(k);               // TODO: overdoing the immutable thingy much?
+            opDims = TensorShape(opDims).FlattenInPlace(k).GetDims();  // (ugh)
         nope:;
         }
         //fprintf(stderr, "Post-flatten: Op %d: %s op %s -> %s via %s\n", (int)op, string(shapes[0]).c_str(), string(shapes[1]).c_str(), string(shapes[2]).c_str(), string(TensorShape(opDims)).c_str());
 
         // remove singleton dimensions
-        vector<bool> toDrop(dims, false);
+        SmallVector<bool> toDrop(dims, false);
+        bool anyToDrop = false;
         for (size_t k = 0; k < dims; k++)
         {
             for (size_t i = 0; i < N; i++)
                 if (shapes[i][k] != 1)
                     goto neither;
             toDrop[k] = true;           // found an all-singleton dimensions
+            anyToDrop = true;
         neither:;
         }
-        for (size_t i = 0; i < N; i++)
-            shapes[i] = shapes[i].DropDims(toDrop);
-        opDims = TensorShape(opDims).DropDims(toDrop).GetDims();    // (ugh)
-        dims = opDims.size();   // #dims has changed
+        if (anyToDrop)
+        {
+            for (size_t i = 0; i < N; i++)
+                shapes[i].DropDimsInPlace(toDrop);
+            opDims = TensorShape(opDims).DropDimsInPlace(toDrop).GetDims();    // (ugh)
+            dims = opDims.size();   // #dims has changed
+        }
         for (size_t i = 0; i < N; i++)
             assert(dims == shapes[i].size());
         // note: if op is a scalar, then we end up with 0 dimensions here, which is allowed
@@ -136,9 +151,13 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         // determine broadcasting; that is, set strides to 0 for 1-dimensions
         // To be more precise, we should only set actually broadcasting dimensions to 0.
         // But since dimensions that are 1 across all args are eliminated, any 1 must be some form of broadcasting.
-        // TODO: Do we need to allow other strides at this point in time? If not, broadcasting becomes a bit vector.
-        for (size_t i = 0; i < N; i++)
-            shapes[i] = shapes[i].WithBroadcastStrides();
+        for (size_t i = 0; i < N; i++)       // TODO: do we need to test output tensor here as well?
+            for (size_t k = 0; k < dims; k++)
+                if (shapes[i][k] < opDims[k])
+                {
+                    shapes[i].SetBroadcastStrides();
+                    break;
+                }
 
         //fprintf(stderr, "%s  op  %s  ->  %s  via  %s\n", string(shapes[0]).c_str(), string(shapes[1]).c_str(), string(shapes[2]).c_str(), string(TensorShape(opDims)).c_str());
 
@@ -165,27 +184,54 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         // separate out the inverse-broadcasting dimensions
         // Any singleton dimension in the result tensor is inverse-broadcasting, because there must be at least one non-1 dimension
         // in one of the inputs, otherwise the entire dimension would have been optimized away above.
-        vector<bool> isReducingDim(dims);    // true for each inverse-broadcasting dimension
+        SmallVector<bool> isReducingDim(dims);    // true for each inverse-broadcasting dimension
+        bool isAnyReducingDim = false;
         for (size_t k = 0; k < dims; k++)
-            isReducingDim[k] = shapes.back()[k] == 1;
+        {
+            bool isRed = shapes.back()[k] == 1;
+            isReducingDim[k] = isRed;
+            isAnyReducingDim |= isRed;
+        }
 
         // form the regular (non-inverse-broadcasting) dims
-        for (size_t i = 0; i < N; i++)
-            regularStrides[i] = shapes[i].DropDims(isReducingDim).GetStrides();
-        regularOpDims = TensorShape(opDims).DropDims(isReducingDim).GetDims();    // (ugh)
+        if (isAnyReducingDim)
+        {
+            for (size_t i = 0; i < N; i++)
+                regularStrides[i] = shapes[i].DropDims(isReducingDim).GetStrides();
+            regularOpDims = TensorShape(opDims).DropDims(isReducingDim).GetDims();    // (ugh)
 
-        // form the inverse-broadcasting dims
-        vector<bool> isRegularDim(dims);    // true for each inverse-broadcasting dimension
-        for (size_t k = 0; k < dims; k++)
-            isRegularDim[k] = !isReducingDim[k];   // (no way to do this more nicely?)
-        for (size_t i = 0; i < N; i++)
-            reducingStrides[i] = shapes[i].DropDims(isRegularDim).GetStrides();
-        reducingOpDims = TensorShape(opDims).DropDims(isRegularDim).GetDims();    // (ugh)
+            // form the inverse-broadcasting dims
+            SmallVector<bool> isRegularDim(dims);    // true for each inverse-broadcasting dimension
+            for (size_t k = 0; k < dims; k++)
+                isRegularDim[k] = !isReducingDim[k];   // (no way to do this more nicely?)
+            for (size_t i = 0; i < N; i++)
+                reducingStrides[i] = shapes[i].DropDims(isRegularDim).GetStrides();
+            reducingOpDims = TensorShape(opDims).DropDims(isRegularDim).GetDims();    // (ugh)
+        }
+        else        // case if no reduction: things are simpler
+        {
+            for (size_t i = 0; i < N; i++)
+                regularStrides[i] = shapes[i].GetStrides();
+            regularOpDims = opDims;
+
+            for (size_t i = 0; i < N; i++)
+                reducingStrides[i].clear();
+            reducingOpDims.clear();
+        }
 
         for (size_t i = 0; i < N; i++)
             offsets[i] = shapes[i].GetOffset();
     }
 
+    // enforce that in case of broadcasting, the output must not be an input
+    template<class ElemType>
+    static bool CheckDifferentObject(const TensorView<ElemType> & a, const TensorView<ElemType> & b)
+    {
+        if (&a == &b)
+            LogicError("Do{U,Bi,Ter}naryOpOf: When inverse broadcasting, output must not be an input.");
+        return true;
+    }
+
     template<class ElemType>
     void TensorView<ElemType>::DoUnaryOpOf(ElemType beta, const TensorView & a, ElemType alpha, ElementWiseOperator op)
     {
@@ -194,10 +240,14 @@ namespace Microsoft { namespace MSR { namespace CNTK {
 
         // prepare all tensor descriptor information as needed for execution
         array<size_t, 2> offsets;
-        array<vector<ptrdiff_t>, 2> regularStrides, reducingStrides;
-        vector<size_t> regularOpDims, reducingOpDims;
+        array<SmallVector<ptrdiff_t>, 2> regularStrides, reducingStrides;
+        SmallVector<size_t> regularOpDims, reducingOpDims;
         PrepareTensorOperands<ElemType,2>(array<TensorShape, 2> { a.GetShape(), GetShape() }, offsets, regularOpDims, regularStrides, reducingOpDims, reducingStrides);
 
+        // output cannot be input when reducing
+        if (reducingOpDims.size() > 0)
+            CheckDifferentObject(a, *this);
+
         // now perform the operation
         GetSOB().TensorOp(beta, a.GetSOB(), alpha, op, offsets, regularOpDims, regularStrides, reducingOpDims, reducingStrides);
     }
@@ -209,10 +259,14 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             fprintf(stderr, "Tensor Op: Op %d: %s op %s -> %s\n", (int)op, string(a.GetShape()).c_str(), string(b.GetShape()).c_str(), string(GetShape()).c_str());
 
         array<size_t, 3> offsets;
-        array<vector<ptrdiff_t>, 3> regularStrides, reducingStrides;
-        vector<size_t> regularOpDims, reducingOpDims;
+        array<SmallVector<ptrdiff_t>, 3> regularStrides, reducingStrides;
+        SmallVector<size_t> regularOpDims, reducingOpDims;
         PrepareTensorOperands<ElemType, 3>(array<TensorShape, 3> { a.GetShape(), b.GetShape(), GetShape() }, offsets, regularOpDims, regularStrides, reducingOpDims, reducingStrides);
 
+        // output cannot be input when reducing
+        if (reducingOpDims.size() > 0)
+            CheckDifferentObject(a, *this) && CheckDifferentObject(b, *this);
+
         GetSOB().TensorOp(beta, a.GetSOB(), b.GetSOB(), alpha, op, offsets, regularOpDims, regularStrides, reducingOpDims, reducingStrides);
     }
 
@@ -223,10 +277,14 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             fprintf(stderr, "Tensor Op: Op %d: %s, %s, %s -> %s\n", (int)op, string(a.GetShape()).c_str(), string(b.GetShape()).c_str(), string(c.GetShape()).c_str(), string(GetShape()).c_str());
 
         array<size_t, 4> offsets;
-        array<vector<ptrdiff_t>, 4> regularStrides, reducingStrides;
-        vector<size_t> regularOpDims, reducingOpDims;
+        array<SmallVector<ptrdiff_t>, 4> regularStrides, reducingStrides;
+        SmallVector<size_t> regularOpDims, reducingOpDims;
         PrepareTensorOperands<ElemType, 4>(array<TensorShape, 4> { a.GetShape(), b.GetShape(), c.GetShape(), GetShape() }, offsets, regularOpDims, regularStrides, reducingOpDims, reducingStrides);
 
+        // output cannot be input when reducing
+        if (reducingOpDims.size() > 0)
+            CheckDifferentObject(a, *this) && CheckDifferentObject(b, *this) && CheckDifferentObject(c, *this);
+
         GetSOB().TensorOp(beta, a.GetSOB(), b.GetSOB(), c.GetSOB(), alpha, op, offsets, regularOpDims, regularStrides, reducingOpDims, reducingStrides);
     }
 
diff --git a/Source/Math/TensorView.h b/Source/Math/TensorView.h
index 08cf5f931..88f8dcdac 100644
--- a/Source/Math/TensorView.h
+++ b/Source/Math/TensorView.h
@@ -34,6 +34,8 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         TensorView(const Matrix<ElemType> & sob, const TensorShape & shape) :
             TensorView(TensorView(sob)/*cast as a TensorView*/, shape/*with a shape*/)
         { }
+        // empty constructor
+        TensorView() { }
         // copy constructor
         TensorView(const TensorView<ElemType> & other) :
             m_sob(other.m_sob.AsReference()), m_shape(other.m_shape)
@@ -42,43 +44,54 @@ namespace Microsoft { namespace MSR { namespace CNTK {
         // -------------------------------------------------------------------
         // elementwise operations
         // Result goes into 'this', and can optionally be added to the existing value.
-        // E.g. c.DoSumOf(beta,a,b,alpha) means c := beta * c + alpha * (a + b).
-        //  and c.DoDiffOf(0, c, a, 1) means c -= a.
+        // E.g. c.DoSumOf(beta,a,b,alpha) means c := beta * c + alpha * (a + b),
+        //      c.AssignDiffOf(c,a) means c -= a,
+        //  and c.AddElementwiseProductOf(a, b, 1) means c += a .* b.
         // All operators support elementwise in-place operations, i.e. a, b, and c
-        // may all reference the same underlying SOB.
+        // may all reference the same underlying SOB, with onee exception:
+        // The output cannot be in-place and inverse-broadcasting at the same time.
+        // E.g. with c=[10] and a=[10 x 20], c.AssignDiffOf(c,a) will fail.
+        // In that case, you can use c.AddCopyOf(a,-1).
+        // Aliasing is not detected, so don't pass distinct TensorView objects that
+        // reference overlapping but not identical slices.
         // If beta == 0, c is not read out, i.e. it can be uninitialized or contain NaNs.
         // -------------------------------------------------------------------
 
 #pragma push_macro("DeclareUnaryTensorOp")
 #define DeclareUnaryTensorOp(oper) \
-        void Do ## oper ## Of(ElemType beta, const TensorView & a, ElemType alpha) { DoUnaryOpOf(beta, a, alpha, ElementWiseOperator::op ## oper); }
+        void     Do ## oper ## Of(ElemType beta, const TensorView & a, ElemType alpha)        { DoUnaryOpOf(beta, a, alpha, ElementWiseOperator::op ## oper); } \
+        void Assign ## oper ## Of(               const TensorView & a, ElemType alpha = 1.0f) { DoUnaryOpOf(0,    a, alpha, ElementWiseOperator::op ## oper); } \
+        void    Add ## oper ## Of(               const TensorView & a, ElemType alpha = 1.0f) { DoUnaryOpOf(1.0f, a, alpha, ElementWiseOperator::op ## oper); }
 
         ForAllUnaryOps(DeclareUnaryTensorOp);
-        ForAllParameterizedUnaryOps(DeclareUnaryTensorOp);
 #pragma pop_macro("DeclareUnaryTensorOp")
 
 #pragma push_macro("DeclareBinaryTensorOp")
 #define DeclareBinaryTensorOp(oper) \
-        void Do ## oper ## Of(ElemType beta, const TensorView & a, const TensorView & b, ElemType alpha) { DoBinaryOpOf(beta, a, b, alpha, ElementWiseOperator::op ## oper); }
+        void     Do ## oper ## Of(ElemType beta, const TensorView & a, const TensorView & b, ElemType alpha)        { DoBinaryOpOf(beta, a, b, alpha, ElementWiseOperator::op ## oper); } \
+        void Assign ## oper ## Of(               const TensorView & a, const TensorView & b, ElemType alpha = 1.0f) { DoBinaryOpOf(0,    a, b, alpha, ElementWiseOperator::op ## oper); } \
+        void    Add ## oper ## Of(               const TensorView & a, const TensorView & b, ElemType alpha = 1.0f) { DoBinaryOpOf(1.0f, a, b, alpha, ElementWiseOperator::op ## oper); }
 
         ForAllBinaryOps(DeclareBinaryTensorOp);
 #pragma pop_macro("DeclareBinaryTensorOp")
 
 #pragma push_macro("DeclareTernaryTensorOp")
 #define DeclareTernaryTensorOp(oper) \
-        void Do ## oper ## Of(ElemType beta, const TensorView & a, const TensorView & b, const TensorView & c, ElemType alpha) { DoTernaryOpOf(beta, a, b, c, alpha, ElementWiseOperator::op ## oper); }
+        void     Do ## oper ## Of(ElemType beta, const TensorView & a, const TensorView & b, const TensorView & c, ElemType alpha)        { DoTernaryOpOf(beta, a, b, c, alpha, ElementWiseOperator::op ## oper); } \
+        void Assign ## oper ## Of(               const TensorView & a, const TensorView & b, const TensorView & c, ElemType alpha = 1.0f) { DoTernaryOpOf(0,    a, b, c, alpha, ElementWiseOperator::op ## oper); } \
+        void    Add ## oper ## Of(               const TensorView & a, const TensorView & b, const TensorView & c, ElemType alpha = 1.0f) { DoTernaryOpOf(1.0f, a, b, c, alpha, ElementWiseOperator::op ## oper); }
 
         ForAllTernaryOps(DeclareTernaryTensorOp);
 #pragma pop_macro("DeclareTernaryTensorOp")
 
         static void Test();
 
-    private:
-
         void DoUnaryOpOf(ElemType beta, const TensorView & a, ElemType alpha, ElementWiseOperator op);
         void DoBinaryOpOf(ElemType beta, const TensorView & a, const TensorView & b, ElemType alpha, ElementWiseOperator op);
         void DoTernaryOpOf(ElemType beta, const TensorView & a, const TensorView & b, const TensorView & c, ElemType alpha, ElementWiseOperator op);
 
+    private:
+
         // -------------------------------------------------------------------
         // accessors
         // -------------------------------------------------------------------
diff --git a/Source/Math/stdafx.h b/Source/Math/stdafx.h
index 3e581bd37..26ca63b84 100644
--- a/Source/Math/stdafx.h
+++ b/Source/Math/stdafx.h
@@ -12,7 +12,9 @@
 
 #include "targetver.h"
 
+#ifndef _CRT_SECURE_NO_WARNINGS
 #define _CRT_SECURE_NO_WARNINGS // "secure" CRT not available on all platforms  --add this at the top of all CPP files that give "function or variable may be unsafe" warnings
+#endif
 
 // Windows Header Files:
 #ifdef _WIN32
diff --git a/Source/Readers/DSSMReader/stdafx.h b/Source/Readers/DSSMReader/stdafx.h
index 677e68a9f..28eded9eb 100644
--- a/Source/Readers/DSSMReader/stdafx.h
+++ b/Source/Readers/DSSMReader/stdafx.h
@@ -7,6 +7,10 @@
 
 #include "targetver.h"
 
+#ifndef _CRT_SECURE_NO_WARNINGS
+#define _CRT_SECURE_NO_WARNINGS // "secure" CRT not available on all platforms  --add this at the top of all CPP files that give "function or variable may be unsafe" warnings
+#endif
+
 #define WIN32_LEAN_AND_MEAN             // Exclude rarely-used stuff from Windows headers
 // Windows Header Files:
 #include <windows.h>
diff --git a/Source/Readers/Kaldi2Reader/stdafx.h b/Source/Readers/Kaldi2Reader/stdafx.h
index c5c01c7d3..c2ba654d2 100644
--- a/Source/Readers/Kaldi2Reader/stdafx.h
+++ b/Source/Readers/Kaldi2Reader/stdafx.h
@@ -10,7 +10,9 @@
 
 #pragma once
 
-#define _CRT_SECURE_NO_WARNINGS // "secure" CRT not available on all platforms
+#ifndef _CRT_SECURE_NO_WARNINGS
+#define _CRT_SECURE_NO_WARNINGS // "secure" CRT not available on all platforms  --add this at the top of all CPP files that give "function or variable may be unsafe" warnings
+#endif
 
 #ifndef __unix__
 #define WIN32_LEAN_AND_MEAN             // Exclude rarely-used stuff from Windows headers
diff --git a/Source/Readers/KaldiReader/stdafx.h b/Source/Readers/KaldiReader/stdafx.h
index c5c01c7d3..c2ba654d2 100644
--- a/Source/Readers/KaldiReader/stdafx.h
+++ b/Source/Readers/KaldiReader/stdafx.h
@@ -10,7 +10,9 @@
 
 #pragma once
 
-#define _CRT_SECURE_NO_WARNINGS // "secure" CRT not available on all platforms
+#ifndef _CRT_SECURE_NO_WARNINGS
+#define _CRT_SECURE_NO_WARNINGS // "secure" CRT not available on all platforms  --add this at the top of all CPP files that give "function or variable may be unsafe" warnings
+#endif
 
 #ifndef __unix__
 #define WIN32_LEAN_AND_MEAN             // Exclude rarely-used stuff from Windows headers
diff --git a/Source/Readers/LMSequenceReader/SequenceReader.cpp b/Source/Readers/LMSequenceReader/SequenceReader.cpp
index c90f62663..9286e0176 100644
--- a/Source/Readers/LMSequenceReader/SequenceReader.cpp
+++ b/Source/Readers/LMSequenceReader/SequenceReader.cpp
@@ -1725,7 +1725,7 @@ size_t BatchSequenceReader<ElemType>::FindNextSentences(size_t numRead)
 }
 
 template<class ElemType>
-bool BatchSequenceReader<ElemType>::EnsureDataAvailable(size_t /*mbStartSample*/)
+bool BatchSequenceReader<ElemType>::EnsureDataAvailable(size_t /*mbStartSample*/, size_t & firstPosInSentence)
 {
     bool bDataIsThere = true; 
 
@@ -1751,6 +1751,7 @@ bool BatchSequenceReader<ElemType>::EnsureDataAvailable(size_t /*mbStartSample*/
         Reset();
 
         mNumRead = m_parser.Parse(CACHE_BLOG_SIZE, &m_labelTemp, &m_featureTemp, &seqPos);
+        firstPosInSentence = mLastPosInSentence;
         if (mNumRead == 0) return false;
 
         std::random_shuffle(m_parser.mSentenceIndex2SentenceInfo.begin(), m_parser.mSentenceIndex2SentenceInfo.end());
@@ -1760,7 +1761,8 @@ bool BatchSequenceReader<ElemType>::EnsureDataAvailable(size_t /*mbStartSample*/
     }
 
     /// add one minibatch 
-    size_t i = mLastPosInSentence; 
+    firstPosInSentence = mLastPosInSentence;
+    size_t i = mLastPosInSentence;
     size_t j = 0;
     // exclude the last token since it is the last label to be predicted
     for (i = mLastPosInSentence; j < m_mbSize &&  i < sLn-1; i++ , j++)
@@ -1835,7 +1837,8 @@ bool BatchSequenceReader<ElemType>::GetMinibatch(std::map<std::wstring, Matrix<E
     if (m_mbSize == 0)
         return false;
 
-    bool moreData = EnsureDataAvailable(m_mbStartSample);
+    size_t firstPosInSentence;
+    bool moreData = EnsureDataAvailable(m_mbStartSample, firstPosInSentence);
     if (!moreData)
     {
         m_pMBLayout->Init(mToProcess.size(), 0);
@@ -1857,13 +1860,32 @@ bool BatchSequenceReader<ElemType>::GetMinibatch(std::map<std::wstring, Matrix<E
         //loop through all the samples
         Matrix<ElemType>& features = *matrices[m_featuresName];
 
+        // create MBLayout
+        size_t nT = actualmbsize / mToProcess.size();
+        m_pMBLayout->Init(mToProcess.size(), nT);
+        for (size_t s = 0; s < mToProcess.size(); s++)
+        {
+            size_t seq = mToProcess[s];
+            size_t len = m_parser.mSentenceIndex2SentenceInfo[seq].sLen - 1;    // -1 because last one is label
+            ptrdiff_t begin = -(ptrdiff_t)firstPosInSentence;
+            ptrdiff_t end = (ptrdiff_t)len - (ptrdiff_t)firstPosInSentence;
+            if (begin >= (ptrdiff_t)nT)
+                LogicError("BatchSequenceReader: Sentence begin outside minibatch?");
+            if (end < 0)
+                LogicError("BatchSequenceReader: Sentence end outside minibatch?");
+            m_pMBLayout->AddSequence(NEW_SEQUENCE_ID, s, begin, (size_t)end);
+            if (begin > 0)
+                m_pMBLayout->AddGap(s, 0, (size_t)begin);
+            if (end < (ptrdiff_t)nT)
+                m_pMBLayout->AddGap(s, end, nT);
+        }
+
         // copy m_featureData to matrix
+        // m_featureData is a sparse, already with interleaved parallel sequences. We copy it into a dense matrix.
         // we always copy it to cpu first and then convert to gpu if gpu is desired.
         DEVICEID_TYPE featureDeviceId = features.GetDeviceId();
         features.TransferFromDeviceToDevice(featureDeviceId, CPUDEVICE, false, true, false);
 
-        size_t nT = actualmbsize / mToProcess.size();
-        m_pMBLayout->Init(mToProcess.size(), nT);
         if (features.GetMatrixType() == MatrixType::DENSE)
         {
             features.Resize(labelInfo.dim, actualmbsize);
@@ -1878,15 +1900,13 @@ bool BatchSequenceReader<ElemType>::GetMinibatch(std::map<std::wstring, Matrix<E
         for (size_t j = 0; j < actualmbsize; ++j)   // note: this is a loop over matrix columns, not time steps or parallel sequences
         {
             // vector of feature data goes into matrix column
-            size_t idx = (size_t)m_featureData[j];
-
-            /// actual time position
-            size_t timeIdx = (size_t)j / mToProcess.size();
-            size_t uttIdx = (size_t)fmod(j, mToProcess.size()); // parallel-sequence index
+            size_t idx = (size_t)m_featureData[j];      // one-hot index of the word, indexed by column (i.e. already interleaved)
 
             features.SetValue(idx, j, (ElemType)1);
 
-            SetSentenceBegin(idx, uttIdx, timeIdx);
+            // actual time position
+            //size_t timeIdx = (size_t)j / mToProcess.size();
+            //size_t uttIdx = (size_t)fmod(j, mToProcess.size()); // parallel-sequence index
         }
 
         features.TransferFromDeviceToDevice(CPUDEVICE, featureDeviceId, false,false, false);
@@ -1992,6 +2012,7 @@ void BatchSequenceReader<ElemType>::SetSentenceSegBatch(vector<size_t> &sentence
 template<class ElemType>
 bool BatchSequenceReader<ElemType>::DataEnd(EndDataType endDataType)
 {
+    size_t firstPosInSentence;
     bool ret = false;
     switch (endDataType)
     {
@@ -2000,7 +2021,7 @@ bool BatchSequenceReader<ElemType>::DataEnd(EndDataType endDataType)
         break;
     case endDataEpoch:
     case endDataSet:
-        ret = !EnsureDataAvailable(m_mbStartSample);
+        ret = !EnsureDataAvailable(m_mbStartSample, firstPosInSentence);
         break;
     case endDataSentence:  // for fast reader each minibatch is considered a "sentence", so always true
         if (mSentenceEnd)
diff --git a/Source/Readers/LMSequenceReader/SequenceReader.h b/Source/Readers/LMSequenceReader/SequenceReader.h
index bb93fc256..4ea8c9051 100644
--- a/Source/Readers/LMSequenceReader/SequenceReader.h
+++ b/Source/Readers/LMSequenceReader/SequenceReader.h
@@ -385,7 +385,7 @@ public:
 
     void StartMinibatchLoop(size_t mbSize, size_t epoch, size_t requestedEpochSamples=requestDataSize);
     bool GetMinibatch(std::map<std::wstring, Matrix<ElemType>*>& matrices);
-    bool EnsureDataAvailable(size_t mbStartSample);
+    bool EnsureDataAvailable(size_t mbStartSample, size_t & firstPosInSentence);
     size_t GetNumParallelSequences();
 
     void SetSentenceSegBatch(std::vector<size_t> &sentenceEnd);
diff --git a/Source/Readers/SparsePCReader/stdafx.h b/Source/Readers/SparsePCReader/stdafx.h
index f3a07375c..f97719976 100644
--- a/Source/Readers/SparsePCReader/stdafx.h
+++ b/Source/Readers/SparsePCReader/stdafx.h
@@ -7,6 +7,10 @@
 
 #include "targetver.h"
 
+#ifndef _CRT_SECURE_NO_WARNINGS
+#define _CRT_SECURE_NO_WARNINGS // "secure" CRT not available on all platforms  --add this at the top of all CPP files that give "function or variable may be unsafe" warnings
+#endif
+
 #define WIN32_LEAN_AND_MEAN             // Exclude rarely-used stuff from Windows headers
 // Windows Header Files:
 #include <windows.h>
diff --git a/Source/Readers/UCIFastReader/stdafx.h b/Source/Readers/UCIFastReader/stdafx.h
index 093142d31..7c6075293 100644
--- a/Source/Readers/UCIFastReader/stdafx.h
+++ b/Source/Readers/UCIFastReader/stdafx.h
@@ -5,8 +5,10 @@
 
 #pragma once
 
+#ifndef _CRT_SECURE_NO_WARNINGS
+#define _CRT_SECURE_NO_WARNINGS // "secure" CRT not available on all platforms  --add this at the top of all CPP files that give "function or variable may be unsafe" warnings
+#endif
 #include "Platform.h"
-#define _CRT_SECURE_NO_WARNINGS // "secure" CRT not available on all platforms
 #include "targetver.h"
 #ifdef __WINDOWS__
 #include "windows.h"
diff --git a/Source/SGDLib/MultiNetworksEvaluator.h b/Source/SGDLib/MultiNetworksEvaluator.h
index 23f0576db..5ec68717a 100644
--- a/Source/SGDLib/MultiNetworksEvaluator.h
+++ b/Source/SGDLib/MultiNetworksEvaluator.h
@@ -626,8 +626,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             size_t bSize = best_path.size();
             for (int i = 0; i < outputNodes.size(); i++)
             {
-                size_t dim = outputNodes[i]->GetNumRows();
-                outputNodes[i]->SetDims(dim, bSize);
+                outputNodes[i]->SetNumCols(bSize);
                 dynamic_pointer_cast<ComputationNode<ElemType>>(outputNodes[i])->UpdateFunctionValuesSize();
                 dynamic_pointer_cast<ComputationNode<ElemType>>(outputNodes[i])->Value().SetValue(0);
                 for (int k = 0; k < bSize; k++)
@@ -760,10 +759,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
             /// need to set the minibatch size to 1, and initialize evalnet's sentence start information to let it know that this
             /// is the begining of sentence
             for (auto ptr = featureNodes.begin(); ptr != featureNodes.end(); ptr++)
-            {
-                size_t nr = (*ptr)->GetNumRows();
-                (*ptr)->SetDims(nr, 1);
-            }
+                (*ptr)->SetNumCols(1);
             // TODO: ^^ this is the same as ResizeAllFeatureNodes() if featureNodes == evalnet.FeatureNodes(). Is it?
             //evalnet->SetActualMiniBatchSizeFromFeatures();
 
@@ -780,7 +776,7 @@ namespace Microsoft { namespace MSR { namespace CNTK {
                 if (itdx > 0)
                 {
                     /// state need to be carried over from past time instance
-                    // BUGBUG: I commented this out because these flags no longer exist. This code is no longer functional.
+                    // BUGBUG: I commented this out because these flags no longer exist. This code is no longer functional. [fseide]
                     //evalnet->GetMBLayoutPtr()->GetM().SetValue(((int) MinibatchPackingFlags::None));
                 }
 
diff --git a/Source/SGDLib/stdafx.h b/Source/SGDLib/stdafx.h
index 36e633f71..8c8ad295f 100644
--- a/Source/SGDLib/stdafx.h
+++ b/Source/SGDLib/stdafx.h
@@ -11,7 +11,9 @@
 #pragma once
 
 #ifdef _WIN32
-#define _CRT_SECURE_NO_WARNINGS // "secure" CRT not available on all platforms
+#ifndef _CRT_SECURE_NO_WARNINGS
+#define _CRT_SECURE_NO_WARNINGS // "secure" CRT not available on all platforms  --add this at the top of all CPP files that give "function or variable may be unsafe" warnings
+#endif
 #include "targetver.h"
 #endif
 
diff --git a/Source/SequenceTrainingLib/latticeforwardbackward.cpp b/Source/SequenceTrainingLib/latticeforwardbackward.cpp
index 0f55d5ba0..4f43bc718 100644
--- a/Source/SequenceTrainingLib/latticeforwardbackward.cpp
+++ b/Source/SequenceTrainingLib/latticeforwardbackward.cpp
@@ -2,6 +2,10 @@
 //
 // F. Seide, V-hansu
 
+#ifndef _CRT_SECURE_NO_WARNINGS
+#define _CRT_SECURE_NO_WARNINGS // "secure" CRT not available on all platforms  --add this at the top of all CPP files that give "function or variable may be unsafe" warnings
+#endif
+
 #include "Basics.h"
 #include "simple_checked_arrays.h"
 #include "latticearchive.h"
diff --git a/Tests/EndToEndTests/Image/QuickE2E/Convolution.ndl b/Tests/EndToEndTests/Image/QuickE2E/Convolution.ndl
index 566de4c6e..887ad6f2f 100644
--- a/Tests/EndToEndTests/Image/QuickE2E/Convolution.ndl
+++ b/Tests/EndToEndTests/Image/QuickE2E/Convolution.ndl
@@ -6,7 +6,7 @@ ndlMnistMacros = [
     ImageH = 28
     LabelDim = 10
 
-    features = ImageInput(ImageW, ImageH, 1, tag="feature")
+    features = ImageInput(ImageW, ImageH, 1, imageLayout="HWC", tag="feature")
     featScale = Const(0.00390625)
     featScaled = Scale(featScale, features)
     labels = Input(LabelDim, tag="label")
diff --git a/Tests/EndToEndTests/Image/QuickE2E/Macros.ndl b/Tests/EndToEndTests/Image/QuickE2E/Macros.ndl
index eec9fbbd8..a4928858f 100644
--- a/Tests/EndToEndTests/Image/QuickE2E/Macros.ndl
+++ b/Tests/EndToEndTests/Image/QuickE2E/Macros.ndl
@@ -1,3 +1,4 @@
+# Sigmoid non-linearity
 DNNSigmoidLayer(inDim, outDim, x, parmScale) = [
     W = Parameter(outDim, inDim, init="uniform", initValueScale=parmScale) 
     b = Parameter(outDim, 1,     init="uniform", initValueScale=parmScale) 
@@ -6,6 +7,7 @@ DNNSigmoidLayer(inDim, outDim, x, parmScale) = [
     y = Sigmoid(z)
 ]
 
+# no non-linearity, as input for SoftMax
 DNNLayer(inDim, outDim, x, parmScale) = [
     W = Parameter(outDim, inDim, init="uniform", initValueScale=parmScale)
     b = Parameter(outDim, 1,     init="uniform", initValueScale=parmScale)
@@ -13,6 +15,7 @@ DNNLayer(inDim, outDim, x, parmScale) = [
     z = Plus(t, b)
 ]
 
+# ReLU non-linearity
 ConvReLULayer(inp, outMap, inWCount, kW, kH, hStride, vStride, wScale, bValue) = [
     convW = Parameter(outMap, inWCount, init="uniform", initValueScale=wScale)
     conv = Convolution(convW, inp, kW, kH, outMap, hStride, vStride, zeroPadding=false)
diff --git a/Tests/EndToEndTests/Image/QuickE2E/cntk.config b/Tests/EndToEndTests/Image/QuickE2E/cntk.config
index 33b35323a..eb49229c9 100644
--- a/Tests/EndToEndTests/Image/QuickE2E/cntk.config
+++ b/Tests/EndToEndTests/Image/QuickE2E/cntk.config
@@ -1,7 +1,10 @@
+#precision = "double"
 precision = "float"
 command = train:test
 deviceId = $DeviceId$
 
+useCuDnn = true     # can be overridden by the command line
+
 ndlMacros = "$ConfigDir$/Macros.ndl"
 
 parallelTrain = false
@@ -13,8 +16,94 @@ train = [
     #deviceId = $DeviceId$
     traceLevel = 1
     
-    NDLNetworkBuilder = [
-        networkDescription = "$ConfigDir$/Convolution.ndl"
+    #NDLNetworkBuilder = [
+    #    networkDescription = "$ConfigDir$/Convolution.ndl"
+    #]
+    
+    BrainScriptNetworkBuilder = [
+
+        useCuDnn = $useCuDnn$
+
+        // HACK to enforce same evaluation order or LearnableParameters as for NDL, as to get same radomization
+        // Nodes are evaluated in sorting order.
+        A1 = conv1_act; A2 = conv2_act; A3 = h1 ; A5 = ol
+
+        // macros
+        ConvReLULayer(inp, outMap, inWCount, kW, kH, hStride, vStride, wScale, bValue) = [  // ReLU non-linearity
+            convW = Parameter(outMap, inWCount, init="uniform", initValueScale=wScale, initOnCPUOnly=false)
+            conv = Convolution(convW, inp, kW, kH, outMap, hStride, vStride, zeroPadding=false, imageLayout=if useCuDnn then "cudnn" else "legacy")
+            convB = if useCuDnn
+                    then ParameterTensor((1 : 1 : outMap : 1/*col dim*/), init="fixedValue", value=bValue)
+                    else Parameter(outMap, 1,                             init="fixedValue", value=bValue)
+            convPlusB = Plus(conv, convB);
+            out = RectifiedLinear(convPlusB);
+        ]
+
+        DNNSigmoidLayer(inDim, outDim, x, parmScale) = [        // Sigmoid non-linearity
+            W = Parameter(outDim, inDim, init="uniform", initValueScale=parmScale, initOnCPUOnly=false) 
+            b = Parameter(outDim, 1,     init="uniform", initValueScale=parmScale, initOnCPUOnly=false) 
+            t = Times(W, x)
+            z = Plus(t, b)
+            out = Sigmoid(z)
+        ]
+
+        DNNLayer(inDim, outDim, x, parmScale) = [               //no non-linearity, as input for SoftMax
+            W = Parameter(outDim, inDim, init="uniform", initValueScale=parmScale, initOnCPUOnly=false)
+            b = Parameter(outDim, 1,     init="uniform", initValueScale=parmScale, initOnCPUOnly=false)
+            t = Times(W, x)
+            out = Plus(t, b)
+        ]
+
+        imageW = 28
+        imageH = 28
+        labelDim = 10
+
+        features = ImageInput(imageW, imageH, 1, imageLayout=if useCuDnn then "cudnn" else "legacy", tag="feature")
+        featScale = Constant(0.00390625)
+        featScaled = Scale(featScale, features)
+        labels = Input(labelDim, tag="label")
+
+        # conv1
+        kW1 = 5
+        kH1 = 5
+        cMap1 = 16
+        hStride1 = 1
+        vStride1 = 1
+        # weight[cMap1, kW1 * kH1 * inputChannels]
+        conv1_act = ConvReLULayer(featScaled, cMap1, 25, kW1, kH1, hStride1, vStride1, 10, 1).out
+
+        # pool1
+        pool1W = 2
+        pool1H = 2
+        pool1hStride = 2
+        pool1vStride = 2
+        pool1 = MaxPooling(conv1_act, pool1W, pool1H, pool1hStride, pool1vStride, imageLayout=if useCuDnn then "cudnn" else "legacy")
+
+        # conv2
+        kW2 = 5
+        kH2 = 5
+        cMap2 = 32
+        hStride2 = 1
+        vStride2 = 1
+        # weight[cMap2, kW2 * kH2 * cMap1]
+        # ConvReLULayer is defined in Macros.ndl
+        conv2_act = ConvReLULayer(pool1, cMap2, 400, kW2, kH2, hStride2, vStride2, 10, 1).out
+
+        # pool2
+        pool2W = 2
+        pool2H = 2
+        pool2hStride = 2
+        pool2vStride = 2
+        pool2 = AveragePooling(conv2_act, pool2W, pool2H, pool2hStride, pool2vStride, imageLayout=if useCuDnn then "cudnn" else "legacy")
+
+        h1Dim = 128
+        # DNNSigmoidLayer and DNNLayer are defined in Macros.ndl
+        h1 = DNNSigmoidLayer(512, h1Dim, pool2, 1).out
+        ol = DNNLayer(h1Dim, labelDim, h1, 1).out
+
+        ce = CrossEntropyWithSoftmax(labels, ol, tag="criterion")
+        err = ErrorPrediction(labels, ol, tag="eval")
+        outputNodes = ol
     ]
 
     SGD = [
diff --git a/Tests/EndToEndTests/Speech/LSTM/cntk.config b/Tests/EndToEndTests/Speech/LSTM/cntk.config
index db71d490f..c4f15456a 100644
--- a/Tests/EndToEndTests/Speech/LSTM/cntk.config
+++ b/Tests/EndToEndTests/Speech/LSTM/cntk.config
@@ -95,8 +95,8 @@ speechTrain = [
         numLSTMs = 3        // number of hidden LSTM model layers
 
         // features
-        features = Input(featDim, 1, tag='feature')
-        labels = Input(labelDim, 1, tag='label')
+        features = Input(featDim, tag='feature')
+        labels = Input(labelDim, tag='label')
         feashift = RowSlice(featDim - baseFeatDim, baseFeatDim, features);      # shift 5 frames right (x_{t+5} -> x_{t} )  // TODO why 5? Where do I see this?
 
         featNorm = MeanVarNorm(feashift)
diff --git a/Tests/EndToEndTests/Speech/README_Windows_Debug_commands.txt b/Tests/EndToEndTests/Speech/README_Windows_Debug_commands.txt
index 2433700f4..6324fbc93 100644
--- a/Tests/EndToEndTests/Speech/README_Windows_Debug_commands.txt
+++ b/Tests/EndToEndTests/Speech/README_Windows_Debug_commands.txt
@@ -27,6 +27,8 @@ Using parallel sequences (difference to above: nbruttsineachrecurrentiter=4). No
 
 COMMAND:     currentDirectory=$(SolutionDir)Tests\EndToEndTests\Speech\Data  configFile=$(SolutionDir)Tests\EndToEndTests\Speech\LSTM\cntk.config  stderr=$(SolutionDir)Tests\EndToEndTests\Speech\RunDir\LSTM\FullUtterance\models\cntkSpeech.dnn.log  RunDir=$(SolutionDir)Tests\EndToEndTests\Speech\RunDir\LSTM\FullUtterance  NdlDir=$(SolutionDir)Tests\EndToEndTests\Speech\LSTM  DataDir=.  DeviceId=auto  Truncated=false  speechTrain=[reader=[nbruttsineachrecurrentiter=4]]  speechTrain=[SGD=[epochSize=2560]]  speechTrain=[SGD=[learningRatesPerMB=0.125]]  speechTrain=[SGD=[maxEpochs=2]]  speechTrain=[SGD=[numMBsToShowResult=1]]  makeMode=false
 
+Linux:      bin/cntk  currentDirectory=Tests/EndToEndTests/Speech/Data  configFile=../LSTM/cntk.config  stderr=../RunDir/LSTM/Truncated/models/cntkSpeech.dnn.log  RunDir=../RunDir/LSTM/Truncated  NdlDir=../LSTM  DataDir=.  DeviceId=auto  Truncated=false  'speechTrain=[reader=[nbruttsineachrecurrentiter=4]]'  'speechTrain=[SGD=[epochSize=2560]]'  'speechTrain=[SGD=[learningRatesPerMB=0.125]]'  'speechTrain=[SGD=[maxEpochs=2]]'  'speechTrain=[SGD=[numMBsToShowResult=1]]'  makeMode=false
+
 Using full BrainScript configuration
 
 COMMAND:     --cd $(SolutionDir)Tests\EndToEndTests\Speech\Data  -f $(SolutionDir)Tests\EndToEndTests\Speech\LSTM\lstm.bs  -D stderr='$(SolutionDir)Tests\EndToEndTests\Speech\RunDir\LSTM\FullUtterance\models\cntkSpeech.dnn.log'  -D RunDir='$(SolutionDir)Tests\EndToEndTests\Speech\RunDir\LSTM\FullUtterance'  -D NdlDir='$(SolutionDir)Tests\EndToEndTests\Speech\LSTM'  -D DataDir='.'  -D DeviceId='Auto'  -D Truncated=false  -D speechTrain=[reader=[nbruttsineachrecurrentiter=1];SGD=[epochSize=2560;maxEpochs=2;numMBsToShowResult=1]]  -D makeMode=false
@@ -37,7 +39,6 @@ COMMAND:     currentDirectory=$(SolutionDir)Tests\EndToEndTests\Speech\Data  con
 
 --- Speech\SequenceTraining:
 
-
 set CNTK_EXTERNAL_TESTDATA_SOURCE_DIRECTORY=\\storage.ccp.philly.selfhost.corp.microsoft.com\public\CNTKTestData
 COMMAND:    currentDirectory=\\storage.ccp.philly.selfhost.corp.microsoft.com\public\CNTKTestData  configFile=$(SolutionDir)Tests\EndToEndTests\Speech\DNN\SequenceTraining\cntk_sequence.config  RunDir=$(SolutionDir)Tests\EndToEndTests\Speech\RunDir\DNN\SequenceTraining  DataDir=.  ConfigDir=$(SolutionDir)Tests\EndToEndTests\Speech\DNN\SequenceTraining  DeviceId=0
 
@@ -47,7 +48,7 @@ COMMAND:     currentDirectory=$(SolutionDir)ExampleSetups\Image\MNIST  configFil
 
 --- Image/QuickE2E:
 
-COMMAND:     configFile=$(SolutionDir)Tests\EndToEndTests\Image\QuickE2E\cntk.config  RunDir=$(SolutionDir)Tests\EndToEndTests\Image\_run  DataDir=$(SolutionDir)Tests\EndToEndTests\Image\Data  ConfigDir=$(SolutionDir)Tests\EndToEndTests\Image\QuickE2E  stderr=$(SolutionDir)Tests\EndToEndTests\RunDir\Image\QuickE2E\models\cntkImage.dnn.log  DeviceId=-1   makeMode=false
+COMMAND:     configFile=$(SolutionDir)Tests\EndToEndTests\Image\QuickE2E\cntk.config  RunDir=$(SolutionDir)Tests\EndToEndTests\Image\_run  DataDir=$(SolutionDir)Tests\EndToEndTests\Image\Data  ConfigDir=$(SolutionDir)Tests\EndToEndTests\Image\QuickE2E  stderr=$(SolutionDir)Tests\EndToEndTests\RunDir\Image\QuickE2E\models\cntkImage.dnn.log  DeviceId=0  useCuDnn=false   makeMode=false
 
 Simple test
 -----------
diff --git a/Tests/UnitTests/MathTests/ConvolutionEngineTests.cpp b/Tests/UnitTests/MathTests/ConvolutionEngineTests.cpp
index 785220014..bd91bc829 100644
--- a/Tests/UnitTests/MathTests/ConvolutionEngineTests.cpp
+++ b/Tests/UnitTests/MathTests/ConvolutionEngineTests.cpp
@@ -24,14 +24,18 @@ namespace Microsoft { namespace MSR { namespace CNTK { namespace Test
 
     static bool IsCuDnnSupported()
     {
+fprintf(stderr, "ConvolutionEngineTests.cpp %d\n", __LINE__);
         try
         {
-            return ConvFact::Create(0, ConvFact::EngineType::CuDnn) != nullptr;
+            // TODO: Will this ever return nullptr?
+            return ConvFact::Create(0, ConvFact::EngineType::CuDnn, ImageLayoutKind::CHW) != nullptr;
         }
         catch (std::runtime_error)
         {
+fprintf(stderr, "ConvolutionEngineTests.cpp %d\n", __LINE__);
             return false;
         }
+fprintf(stderr, "ConvolutionEngineTests.cpp %d\n", __LINE__);
     }
 
     BOOST_AUTO_TEST_SUITE(ConvolutionSuite)
@@ -55,7 +59,8 @@ namespace Microsoft { namespace MSR { namespace CNTK { namespace Test
 
         for (int deviceId : { 0 })
         {
-            auto fact = ConvFact::Create(deviceId);
+            // BUGBUG: These will fail depending on whether we built with cuDNN or not. Without cuDNN we should use HWC
+            auto fact = ConvFact::Create(deviceId, ConvFact::EngineType::Auto, ImageLayoutKind::CHW);
             auto tt = typeid(fact).name();
             UNUSED(tt);
             auto eng = fact->CreateConvEngine(deviceId, 0);
@@ -128,14 +133,22 @@ namespace Microsoft { namespace MSR { namespace CNTK { namespace Test
 
         for (int deviceId : { -1, 0 })
         {
-            auto fact = ConvFact::Create(deviceId);
+fprintf(stderr, "ConvolutionEngineTests.cpp %d\n", __LINE__);
+            auto fact = ConvFact::Create(deviceId, ConvFact::EngineType::Auto, deviceId >= 0 ? ImageLayoutKind::CHW : ImageLayoutKind::HWC);
+fprintf(stderr, "ConvolutionEngineTests.cpp %d\n", __LINE__);
             auto eng = fact->CreateConvEngine(deviceId, 0);
+fprintf(stderr, "ConvolutionEngineTests.cpp %d\n", __LINE__);
             auto inT = fact->CreateTensor(inW, inH, cmapIn, n);
+fprintf(stderr, "ConvolutionEngineTests.cpp %d\n", __LINE__);
             auto filtT = fact->CreateFilter(kW, kH, cmapIn, cmapOut);
+fprintf(stderr, "ConvolutionEngineTests.cpp %d\n", __LINE__);
             auto outT = fact->CreateTensor(outW, outH, cmapOut, n);
+fprintf(stderr, "ConvolutionEngineTests.cpp %d\n", __LINE__);
             auto convT = fact->CreateConvDescriptor(*inT, *filtT, sW, sH, pad);
+fprintf(stderr, "ConvolutionEngineTests.cpp %d\n", __LINE__);
 
             // Input in NCHW format.
+fprintf(stderr, "ConvolutionEngineTests.cpp %d\n", __LINE__);
             SingleMatrix in(inW * inH * cmapIn, n, vec(inW * inH * cmapIn * n, 1.0f).data(), matrixFlagNormal, deviceId);
             // Create cmapOut filters, each kW x kH x cmapIn (NCHW format).
             SingleMatrix filt(cmapOut, kW * kH * cmapIn, vec(kW * kH * cmapIn * cmapOut, 1.0f).data(), matrixFlagNormal, deviceId);
@@ -143,7 +156,9 @@ namespace Microsoft { namespace MSR { namespace CNTK { namespace Test
             SingleMatrix out(outW * outH * cmapOut, n, deviceId);
             SingleMatrix temp(deviceId);
 
+fprintf(stderr, "ConvolutionEngineTests.cpp %d\n", __LINE__);
             eng->Forward(*inT, in, *filtT, filt, *convT, *outT, out, temp);
+fprintf(stderr, "ConvolutionEngineTests.cpp %d\n", __LINE__);
 
             // Output is in NCHW format.
             float expBuf[] = {
@@ -175,7 +190,7 @@ namespace Microsoft { namespace MSR { namespace CNTK { namespace Test
 
         for (int deviceId : { 0 })
         {
-            auto fact = ConvFact::Create(deviceId);
+            auto fact = ConvFact::Create(deviceId, ConvFact::EngineType::Auto, ImageLayoutKind::CHW);
             auto eng = fact->CreateConvEngine(deviceId, 0);
             auto srcGradT = fact->CreateTensor(outW, outH, cmapOut, n);
             auto filtT = fact->CreateFilter(kW, kH, cmapIn, cmapOut);
@@ -231,7 +246,7 @@ namespace Microsoft { namespace MSR { namespace CNTK { namespace Test
 
         for (int deviceId : { 0 })
         {
-            auto fact = ConvFact::Create(deviceId);
+            auto fact = ConvFact::Create(deviceId, ConvFact::EngineType::Auto, ImageLayoutKind::CHW);
             auto eng = fact->CreateConvEngine(deviceId, 0);
             auto srcGradT = fact->CreateTensor(outW, outH, cmapOut, n);
             auto filtT = fact->CreateFilter(kW, kH, cmapIn, cmapOut);
@@ -296,7 +311,7 @@ namespace Microsoft { namespace MSR { namespace CNTK { namespace Test
 
         for (int deviceId : { 0 })
         {
-            auto fact = ConvFact::Create(deviceId);
+            auto fact = ConvFact::Create(deviceId, ConvFact::EngineType::Auto, ImageLayoutKind::CHW);
             auto eng = fact->CreatePoolEngine(deviceId);
             auto inT = fact->CreateTensor(inW, inH, cmap, n);
             auto outT = fact->CreateTensor(outW, outH, cmap, n);
@@ -346,7 +361,7 @@ namespace Microsoft { namespace MSR { namespace CNTK { namespace Test
 
         for (int deviceId : { 0 })
         {
-            auto fact = ConvFact::Create(deviceId);
+            auto fact = ConvFact::Create(deviceId, ConvFact::EngineType::Auto, ImageLayoutKind::CHW);
             auto eng = fact->CreatePoolEngine(deviceId);
             auto inT = fact->CreateTensor(inW, inH, cmap, n);
             auto outT = fact->CreateTensor(outW, outH, cmap, n);
@@ -406,7 +421,7 @@ namespace Microsoft { namespace MSR { namespace CNTK { namespace Test
 
         for (int deviceId : { 0 })
         {
-            auto fact = ConvFact::Create(deviceId);
+            auto fact = ConvFact::Create(deviceId, ConvFact::EngineType::Auto, ImageLayoutKind::CHW);
             auto eng = fact->CreatePoolEngine(deviceId);
             auto inT = fact->CreateTensor(inW, inH, cmap, n);
             auto outT = fact->CreateTensor(outW, outH, cmap, n);
@@ -456,7 +471,7 @@ namespace Microsoft { namespace MSR { namespace CNTK { namespace Test
 
         for (int deviceId : { 0 })
         {
-            auto fact = ConvFact::Create(deviceId);
+            auto fact = ConvFact::Create(deviceId, ConvFact::EngineType::Auto, ImageLayoutKind::CHW);
             auto eng = fact->CreatePoolEngine(deviceId);
             auto inT = fact->CreateTensor(inW, inH, cmap, n);
             auto outT = fact->CreateTensor(outW, outH, cmap, n);
diff --git a/Tests/UnitTests/MathTests/stdafx.h b/Tests/UnitTests/MathTests/stdafx.h
index 5e9c97031..d2dd3a5e4 100644
--- a/Tests/UnitTests/MathTests/stdafx.h
+++ b/Tests/UnitTests/MathTests/stdafx.h
@@ -8,7 +8,9 @@
 
 #pragma once
 
-#define _CRT_SECURE_NO_WARNINGS // "secure" CRT not available on all platforms
+#ifndef _CRT_SECURE_NO_WARNINGS
+#define _CRT_SECURE_NO_WARNINGS // "secure" CRT not available on all platforms  --add this at the top of all CPP files that give "function or variable may be unsafe" warnings
+#endif
 #define _SCL_SECURE_NO_WARNINGS // current API of matrix does not allow safe invokations. TODO: change api to proper one.
 
 #include "targetver.h"