diff --git a/experiments/02_BCI.ipynb b/experiments/02_BCI.ipynb index 9771b47..1ef007b 100644 --- a/experiments/02_BCI.ipynb +++ b/experiments/02_BCI.ipynb @@ -369,7 +369,7 @@ }, "source": [ "## Concept Drift\n", - "Concept drift can occur across many domains and can be caused by many factors such as sensor drift, seasonality, regime change, etc. One of the ways to combat this is by retraining. If the cause for the drift is observable then it can be incorporated into the model. In this specific instance the cause for the drift is an increase in the impedance in the electrodes, fatigue as well as a number of other factors. These are not observable in the dataset so we will have to retrain the model ever so often and observe the difference in performance. This constant retraining can be costly especially with large datasets. Below we will compare XGBoost and LightGBM in a naive retraining scenario." + "Concept drift can occur across many domains and can be caused by many factors such as sensor drift, seasonality, regime change, etc. One of the ways to combat this is by retraining. If the cause for the drift is observable then it can be incorporated into the model. In this specific instance the cause for the drift is an increase in the impedance in the electrodes, fatigue as well as a number of other factors. These are not observable in the dataset so we will have to retrain the model at regular intervals and observe the difference in performance. This constant retraining can be costly especially with large datasets. Below we will compare XGBoost and LightGBM in a naive retraining scenario." ] }, { @@ -529,7 +529,7 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 50, "metadata": { "collapsed": false, "deletable": true, @@ -538,9 +538,9 @@ "outputs": [ { "data": { - "image/png": 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urBp7DeuyNjWb1Jk1M2f3Gs+UPpOJ8He/+9bY0fwy3l2wl7Qc988eHe7PvVcO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\n/6pEDsVWilddAAAAAElFTkSuQmCC\n", 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0UAoNCyGEEL1IMieGxKIdS+rml6TgdsR/SxlAVVOQ93Z3sK2i76TO6bDx+QsW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\naxIvMEh8UUMT8GVr7YXEPc8BX7PWtjz0XDfwb4i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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -552,7 +552,8 @@ "ax=retrain_results_dict['xgb'][['Train AUC', 'Retrain AUC']].rolling(window=10).mean().plot(xlim=[8, 35], \n", " fontsize=12,\n", " linewidth=4,\n", - " figsize=(10,5))\n", + " figsize=(10,5),\n", + " color=['#5975a4', '#a1bae3'])\n", "ax.set_ylabel('AUC', fontsize=14);" ] }, @@ -568,7 +569,7 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 48, "metadata": { "collapsed": false, "deletable": true, @@ -577,9 +578,9 @@ "outputs": [ { "data": { - "image/png": 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M3uLgxU8zsNk7N13JyQz3j+GXE6/j7sm/ZHTgqHbr7Q47q/PWtE5nkrdWpjMR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\n7cYVZjCuMIODR0/x8sp9YUPdhp1VbLKqmTclj09fNpKstAQ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EREkyJ+aN21bcgseeulXX/xx8moHIwLTfS1EUSp0l3LbsbVRnVKZdzqQ/6mV3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\nzPgIdwpzIiIiMijlDsvhkdkPUH22hsP1xzjWWE550wm8ft9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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -591,7 +592,8 @@ "ax=retrain_results_dict['lgbm'][['Train AUC', 'Retrain AUC']].rolling(window=10).mean().plot(xlim=[8, 35], \n", " fontsize=12,\n", " linewidth=4,\n", - " figsize=(10,5))\n", + " figsize=(10,5),\n", + " color=['#5f9e6f', '#a2cfae'])\n", "ax.set_ylabel('AUC', fontsize=14);" ] }, diff --git a/experiments/Retraining.ipynb b/experiments/Retraining.ipynb index ef36007..4fea523 100644 --- a/experiments/Retraining.ipynb +++ b/experiments/Retraining.ipynb @@ -32,7 +32,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 2, "metadata": { "collapsed": false }, @@ -56,7 +56,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 4, "metadata": { "collapsed": false }, @@ -73,7 +73,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 5, "metadata": { "collapsed": true }, @@ -88,7 +88,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 6, "metadata": { "collapsed": true }, @@ -113,19 +113,19 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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/rjs5hRX87Y117MgsarK9m92N2b1mcu+I+hXdlx5Yxd9W/ZNtBWltF7SISAfV\nkuJqPlBpGMZy4AngHsMw5jTc+sMwjAigxDTNxrf1dgC/MAxjBfAX4JcWxy0ip8hus3HJxF7ccG5f\nyitrefTtjazelt3sNQmBcdw38mec22MaxdUl/Gfji7y1/QMqalu2abSISFd00jlXbcipYcYzp+Fa\na3T2PG7Znc8z87dQWV3HZZN7ce7ohJMuvbC3NJN5295nf9lBgr2CmNP3MgaEGc1e09nz2FaUR2so\nj9ZQHutFRAQ0+aWpRURFuqCBiWE8MHcEIQFefLAonTe+NqlzOJq9JiEgjt8k3815PaZTUl3KM5te\nYt629ymv0SiWiEhjKq5Euqj4SH8evC6ZhEh/Fm08wJMfbKai6thnVY7mbndnVs+z+U3yz4j1j2HF\nwTX8bfU/2ZK3rY2iFhFp/1RciXRhIQFe3HfNcAb1DGPLrgL+8eZ6CkurTnpdfEA37kv+GbMSZ1Ba\nXcazm1/hjdT3KK8pb4OoRUTaNxVXIl2cj5c7P7tsEJOHdmNfThl/fX0t+3LKTnqdm92N8xJncN/I\nnxHv342VWWv566p/kpKX2gZRi4i0XyquRAQ3u51rzzG4fHIvCkureHjeOrbsym/RtfUru9/N+Ynn\nUFZziOc2v8prqe9oFEtEuiw9LdjJ6CkOa3TlPK7els2Ln2/D4XASH+VPWKA3oYFehAV6ExboTUjD\nnwP9PLEf84Th/rKDvLHtPfaV7ifQM4CfjppLd89EF/0knUdX7o9WUh6toTzWa+5pwZas0C4iXcio\nflGEBHjxxtdp7M89REbWib9E3ey2I0VXSIA3YUFehAZ6MzP0atJ817E0ZwmPLH2WcTGjuKT3+Xi6\neeJwgNPpxOkEh9OJ0+nE4eSo352Hjx1OPD3cCPTzbOMMiIicGY1cdTL6F4U1lMd6TqeT0vIaCkor\nyS+uoqCkkvySSgpKKikorSK/pJLisuoTXmvzKcWz12bsvqU4Kn2pTh+M81DwKX2+Dfj55UMY3Cvs\nzH+YDkz90RrKozWUx3oauRKR02Kz2Qj08yTQz5Me0SduU1ProLCsioLiyvoirOR/RVhtWRwFjk2U\n+m3Hu/8qgssHEFo+ELvNDbut/v1tNrDbbdhsNuy2+pXkD99tXL0th3nfmPzlltF4ebi13Q8uInIG\nVFyJyBnxcLcTGexDZLDPcefq/4U7grTCdF5PfZdC2xaCYoq5tv9VRPpGnPS9g/y9+GrVXj5fvodL\nJ/VqjfBFRCynpwVFpNUlhfTit6PuYWTUMDJK9vHw6n+xdP9KTjYt4cLxiYQF1hdYB/IOtVG0IiJn\nRsWViLQJXw8fbhhwNTcNmIOb3Z23zY94bvOrlFQ3PXfDy9ONOTOSqHM4eeNr86TFmIhIe6DiSkTa\n1Iioofxu1D0khfRmS/42/naShUeH9YlgaO9wzH1FLN+S1YaRioicHhVXItLmQryDuXvoLVza+3wq\n66p4bvOrvLX9QyprT7z1zpwZffD0sPPuDzspq6hp42hFRE6NiisRcQm7zc7UhInc17AJ9LIDq/jH\nmn+xu3jvcW3Dg3y4cHwiZRU1fLg43QXRioi0nIorEXGpbv7R3Jt8N9MTJpFXUcA/1z/DF7u+oc5R\nd1S7GSPjiQ33Y/HGA+zMLHZRtCIiJ6fiSkRczsPuzsW9Z/GzYbcR5BnIl3u+4/H1z5BTnnukjbtb\n/f6HAK9/bVLncLgqXBGRZqm4EpF240RLNizJXI7DWV9IJcUHM2FwDJm5ZXy3NtPF0YqInJiKKxFp\nVw4v2XDjgDm42915N+1j/rPxRfIrCgG4fHIv/H08+PjH3RSUVLo4WhGR46m4EpF2KTlqKL8b/UsG\nhvXFLNzJ31f/k2UHVuHv48HlU3pRVVPH29/tcHWYIiLHUXElIu1WsFcQPx18I3P7XQHYeGv7hzyz\n+WUGJPnSJy6IdWm5bNyZ5+owRUSOouJKRNo1m83G2JhkHhz9S/qFJpGab/L31U8wdFQVbnZ469s0\nqmrqTv5GIiJtRMWViHQIId7B3DnkZq4yLqHOWcfnmR8Tk7yNvPJiPl++x9XhiYgc4X6yBoZh2IFn\ngCFAFXCLaZo7G85FA+80aj4UuB94CXgN6AHUAbeaprndysBFpOux2WycFTuGfqFJzNv2HjuKduEz\n6CDfpBUypn8UsRH+rg5RRKRFI1cXAd6maY6lvnB6/PAJ0zSzTNOcbJrmZOABYD3wAnAe4G6a5jjg\nIeBvFsctIl1YuE8oPxt2G5f3uRA3DwfuvTbyxOpXKKlqehNoEZG20pLiagLwFYBpmiuB5GMbGIZh\nA54CbjdNsw5IA9wbRr0CAW0GJiKWstvsTI4fz4Oj78GnNoIKn338efnjbMzd4urQRKSLO+ltQeqL\no8Z7TdQZhuFummZto9dmA1tN0zQbjsuovyW4HQgHzm9JMBERAS1pJiehPFpDebRGa+cxggD+L+A3\n3PXqy1TGmLyQ8joTuo/ipmFX4O/l16qf3ZbUH62hPFpDeWxeS4qrEqBxFu3HFFYAc4EnGx3fA3xt\nmuYDhmHEAz8YhjHINM1mV/zLzdWQ/pmKiAhQHi2gPFqjrfLoBlyYNI33V4QRNnA7SzNWk3JwG3P6\nXsbA8H6t/vmtTf3RGsqjNZTHes0VmC25LbiM+jlUGIYxBkg5QZtkYHmj40L+N9pVAHhQ//0nItIq\npifH0S0giry1wxkfNpmymnKe3fwKr6W+Q2l1mavDE5EupCXF1Xyg0jCM5cATwD2GYcwxDOM2AMMw\nIoAS0zSdja55AhhuGMaPwA/Ab03TPGRx7CIiR7i72bnuHAOws31tGL8efjfxAbGszlrPQysf5cf9\nK4/sUSgi0ppsTqfz5K3ahlPDjGdOw7XWUB6t4Yo8vrpgG0s2HeSKKb2ZMTKWJftX8Pmur6msqyIx\nMIErjUuID+jWpjGdKfVHayiP1lAe60VEBNiaOqdFREWkU7lscm/8fTz4ZOluikprmBI/gd+P+TUj\nIoewu2Qv/7fmST7Y8SmVtdr0WURah4orEelU/H08uGJKb6pq6njruzSgfo/CmwZew11DbiHcJ5SF\n+5by0MrHWJ+zmXY0ei8inURLnhYUEelQxg+KZmnKQTbsyOOtb9Pw9XanzuHE4bRjOC7A27mJzKqN\nvLRlHkGOWOKrx+DhCMDhcOJwOuvbNvwK8vfi4rMSCfL3cvWPJSIdhIorEel0bDYb155j8KeXV/Pd\nuswTtIjE5jUejx6pFAftp8hzPrUHelF7MBGcxw/or0/L5fqZfRlhRLR+8CLS4am4EpFOKTbcj4du\nHkVRaRV2u63+l+1/v7vZbWCbwvaSrXy7/2vK4nYQ07uQC3vMpk9wryPtlm/J4r2FO3l6fgoTBsVw\n9fQ++Hjpq1NEmqanBTsZPcVhDeXRGh0ljxW1FXy26xuWZC7HiZORUcO4pM/5BHrWLxJ4IO8Qz3+2\nlb3ZZYQHeXPr7P70iQtus/g6Sh7bO+XRGspjPT0tKCLSDB93H65IupDfJN9N94B41mRv4KGVj7Ik\nczkOp4Nu4X48eF0ys8Z2J7+kkn+8uZ6PlqRTW6d1s0TkeCquREQaJATG8evkO7ky6SIA3k37mMfW\nPs3ekkzc3excOqkX980ZTligN58vz+Bvb6zjYL7WRxaRo6m4EhFpxG6zMzFuHL8ffS8jo4aRUbqP\nR9Y+xbvmfMprykmKD+bPN41i/KBoMrJK+fMra/h+XaaWdBCRI1RciYicQJBXADcMuJqfD7uNSN8I\nluxfwUMrH2PVwXV4e7px86z+3HHRQDzc7bz5bRr/en8zxWVVrg5bRNoBFVciIs1ICunNb0f9ggt7\nnUtVXRWvb3uXf214jgNlWST3jeShm0czMDGUlF35/P6l1awzc10dsoi4mIorEZGTcLe7c3b3KTw4\n+tcMCR/AzqLdPLzmX8zf+QU+PnDPFUO4ZkYSVTV1PD0/hZe/2EZFVa2rwxYRF9FiLSIiLRTmE8Jt\ng69nS9423kv7hO/2LmZt9kYu63MBU4cPpF/3EJ7/bCtLUw5i7ivk1vMH0DsuyNVhi0gb08iViMgp\nGhjejwdH/4pze0yjrLqMF7e8wTObXsbdt+LIkg15xZU8/OY6PlqSTk5RBTW1WrZBpKvQIqKdjBZ3\ns4byaI2ukMfs8lzeMz9me+GO+tuHCZM5u/sUdh84xIufp5JXXHmkrb+PB6EBXoQ0+hUc4EVogPeR\n4xOt/t4V8tgWlEdrKI/1mltEVMVVJ6NObw3l0RpdJY9Op5MNuSl8kPYpxdUlhPuEcUXShfT07813\n6zLJyi+nqKyKgtIqCksrqa5pehTL29PtqOIrJMCLs4bHE+Hv2YY/UefUVfpja1Me6zVXXGnOlYjI\nGbLZbAyPHEz/0CS+2P0tizKX8cymlxkaMZDLhl9AiHePI22dTicVVbUUlFZRVFp19O9lVRSU1P9+\nML/8yDULVu7lDzeMJD7S3wU/nYicKhVXIiIW8Xb35tI+sxkTk8w75nw25m4htSCNC3uey6S4cdhs\nNmw2G77eHvh6exAX0XSxVF1TR2FZFebeIl5dsJ2Xv9jG764bgbubpsqKtHf6v1RExGKx/jHcM/yn\nzO13BR52d97f8QlPb3qJoqriFr+Hp4cbUSG+TBzSjekjE8jILmXBqr2tGLWIWEXFlYhIK7Db7IyN\nSeZ3o35J/1CDbQVp/H3VE2zMSTnl97r5woEE+3vy6dLdZOaWtUK0ImIlFVciIq0oyCuQO4bcxBVJ\nF1HtqOaFLW/wxrb3qKytPPnFDfx9PLh+Zl/qHE5e+mIbdQ4t6yDSnqm4EhFpZTabjUlx47h/5M+J\nD4hl5cG1PLz6X+wq3tPi9xjSO5xxA+s3i/5KtwdF2jUVVyIibSTaL4pfj7iTs7tPIb+ykH+ue5bP\ndn1NnaOuRddfNa0PQX6efLJ0N/vzDrVytCJyuk76tKBhGHbgGWAIUAXcYprmzoZz0cA7jZoPBe4H\nKoEbGl7zbng92jTNImvCFhHpmNzt7lzY61wGhPXltdR3+GrP96Tmm9zQ/yqi/CKbvdbfx4PrZho8\n9WH9/oW/vXY4bnb9G1mkvWnJ/5UXAd6maY6lvnB6/PAJ0zSzTNOcbJrmZOABYD3wgmmarzZ6fR3w\nMxVWIiL/0zs4kd+OuofR0SPYW5rJw2ueZEnmCk62sPOwPhGMGRDF7oMlfLNmXxtFKyKnoiXF1QTg\nKwDTNFcCycc2MAzDBjwF3G6aZl2j15OBAaZpPm9NuCIinYePuzfX9b+SmwfOxcPuzrtp83lu8yuU\nVDe/+vWc6UkE+nkyf8luDubr9qBIe3PS7W8Mw3gR+NA0zQUNx3uBnqZp1jZqcwFwqWma1x9z7UfA\nU6ZpLmxBLO1mHx4RkbZWUF7E06tfIyV7O4Fe/vx05FySY4c02X5FygH+/uoajO4h/N9dZ+Fmb3In\nDhFpHWe0/U0JENDo2N64sGowF3iy8QuGYQQDRgsLKwDtVWQB7flkDeXRGsrjqXDjtv43sDhwOR+n\nf8kjS59jfLdRXNJ7NvEx4cflsXd0AKP6RbJ6Ww5vfZnKzNEJLoq741B/PDNOp5OPf9zN3twyLjmr\nZ5ffjikiIqDJcy25LbgMOA/AMIwxwIlWwEsGlh/z2kTg+5aFKCIidpudKfETuC/5Z8T6x7DswGr+\nseZf7MjffcL218xIIsDXg/k/7iKroPyEbUSs4HA6mfdtGp8t38OmHXk89OoavlixR2uuNaElxdV8\noNIwjOXAE8A9hmHMMQzjNgDDMCKAEtM0j72tZwC7LI1WRKQL6OYfzb3JdzM9YRJ5FQX8/vvH+HL3\nt8ct2RDg68m1ZxvU1Dp4+cttOByaXSHWczicvP7Vdhau309chD+/vmYE/r4efLh4F/+Yt16F/Qmc\ndM5VG3JquPbMadjbGsqjNZTHM5dWmM488z3yywtJDEzguv5XEekbflSbZz7ewtrtOVw1rQ9nj4x3\nUaTtn/rjqatzOHj5i+2s2JpF96gAfnXVUBITQtm9t4A3v01jVWo2nu52Lpvci6kj4rDbus7cv4iI\ngCZ/WC2QIiLSjiWF9OKxcx4kOWoou0v28vCaf7H8wOqjlmyYOyMJfx8PPlqcTnahRhHEGrV1Dl74\nLJUVW7Po2S2Qe68eir+PB1C/5tpPLhjA7RcNxNPDjbe+28Hj72wkr7jCxVG3DyquRETaOT9PX24c\nMIcb+l+Nm83Om9s/4IWU1ymtrt/EOdDPk7lnJ1Fd6+CVL7bhaD93JKSDqq1z8NwnW1m9LYc+cUH8\n6sqh+Hp7HNduZN9I/nLzKIb2DmdbRiF/eGk1P24+cNL12jo7FVciIh3EyOhh/HbUPfQJ7smmvK38\nbfU/2Zq/vf5c30hGJEWQllnMD+syXRypdGQ1tXX856MU1qfl0jchmF9eMRQfr6YXFwjy9+LuSwdx\n03n9sNnglS+389SHKRSXVbVh1O2LiisRkQ4k1DuEnw27jYt7z6K8poJnNr3Mu+bH1DhqmHuOgZ+3\nOx8sTienyJrbM06nk+yCcsoqaix5P2nfqmrq+PeHKWxOz2dgYii/uHwIXp5uJ73OZrMxYXAMD900\nmn7dQ9i4M4/fv7SaNdtz2iDq9kcT2jsZTdi0hvJoDeXRGk3lcV/pAV5LfZuDh7KJ8o3khgFXcWCv\nO89/lkrfhGB+ffWw055gvD/vEGu2ZbNmew4H88vx8nTj/LHdOXtkPB7uJ//Ltj1Sf2xeZXUt//5g\nM9v3FjGkVxh3XDzwhP+tT5ZHh9PJwvX7eX/hTqprHYzqF8ncs40j87U6i+YmtKu46mT05WEN5dEa\nyqM1mstjdV0Nn6YvYGHmUuw2O7MSzyZtXSgbdxQw9+wkpg6Pa/HnZBeUs3pbNqu357A/t35bHQ93\nOwN6hLJzfzFlFTWEBXpz+ZRejOwbia2DPRmm/ti0iqpannh/EzszixmRFMFPLhyAu9uJb261NI9Z\nBeW89Hkq6QdKCPL35MZz+zK4V/hJr+soVFx1IfrysIbyaA3l0RotyeO2gjTeSH2P4uoSuvt3Z++a\nXtRV+vDQzaOICPZp8rrcogrWbM9h9bZs9mbXT5B3d7MxMDGMUf0iGdI7HB8vd8ora/h8eQbfrt1H\nncNJ77ggrp7Wh8SYQEt/1tak/nhihypr+Oe7m9h9sIRR/SK5dXZ/3OxNzxo6lTw6HE4WrMrg4x93\nU+dwMnFIDFdO7dPsHK6OQsVVF6IvD2soj9ZQHq3R0jyW1Rzi7e0fsTE3BXebJ+U7Dfr4D+Deq4Yd\nNcpUUFLJ6m05rNmeze6D9e/rZrcxIDGUkX0jGdYn/IRPhgHkFJbz/sJ01qXlAjB2QBSXTupFaKC3\nBT9p61J/PF5ZRQ2PvbOBvdlljBsYzU3n9cN+kn0qTyeP+3LKePHzVPbllBEe5M1lk3uRbESe9LPa\nMxVXXYi+PKyhPFpDebTGqeTR6XSyKmsd76V9TFVdNbX50Vza80JGJsWx1sxhzbYcdu4vBsBus9Gv\nezAj+0UxPCnilObEmHsLefv7HezNLsPT3c7M0QmcO7p7iyY/u4r649FKDlXz2DsbyMw9xMQhMVw3\ns2+L5uidbh5r6xx8umwPX67IwOF0EhXiw7ljujNuYHSTtyDbMxVXXYi+PKyhPFpDebTG6eQxryKf\nl1LeZm/ZXpzVXtTsM6jLj8GGDSOhvqAaYUQQ6Ot52nE5HE6WbTnIR4t3UXyommB/Ty6d1IuxA6Mt\nW6nb4XRyML+cg3mH6BUbREiA12m/l/rj/xSVVfHo2xs4mF/O1OGxzJmR1OL/Zmeax+zCchas3Muy\nlIPUOZyEBHgxc3QCE4d0w8uj/Rbnx1Jx1YXoy8MayqM1lEdrnG4eHU4HL63+jA2ly7HZnQTaw7ig\n1zmMiRti6WT0yupavly5l69X76Wm1kGP6ACumtaHpPjgU3ofp9NJYWkVuw+WsOtgCbsPlLAnq5TK\n6vo9Fb083bj4rJ5MGxHb7Jygpqg/1isoqeTRtzeQXVjB2SPjuXJq71PqD1blsbC0iq9X72XRxv1U\n1zjw9/Hg7JHxTB0e2+Rt6fZExVUXoi8PayiP1lAerXGmecw9lM9XGd+zKmsdTpwkBiZwQa+ZJIX0\ntjBKyC+u5IPF6axKzQYg2Yjg8im9m5xQf6iyht0HS9h9sJTdB0rYfbCE4kPVR7WJCfMlMSaQsEBv\nflifyaHKWhKi/Ll+Zt9Tnkyv/gh5RRU88vYG8oormTW2O5dM7HnKhbbVeSwtr+a7tZl8vy6T8qpa\nfLzcmDo8jhnJ8QT6nf7IamtTcdWF6MvDGsqjNZRHa1iVx4OHsvl819dszN0CQN+QPlzQaybdA63d\n7Dl9fzHvfL+D9AMluLvZmDEynnNGJpBTVNFQTNWPSmUXHr3QaUiAF4kxgSTGBNAzJpDu0YH4ev/v\nqbKS8mre/2Eny7ZkYQOmDI/lkom9jmrTnK7eHzOySnnqo80UlFRx0YREZo/vcVojmK2Vx4qqWhZt\n2M/Xa/ZRcqgaD3c7E4d0Y+aoBMKC2t8DEyquupCu/uVhFeXRGsqjNazOY0bJPj5N/4rthTsAGBox\nkPN7nkOMX5Rln+F0Olm1LZsPFqVTUHL8Nig+Xu70jAmgR0wgPWMC6RET2OL5VNszCnn9a5OsgnKC\n/D25elqfFq271ZX745JNB5j3TRp1dQ4um9KLc0d3P+33au08VtfUsTTlIAtW7iW/pBI3u42xA6I5\nd0wCMWF+rfa5p0rFVRfSlb88rKQ8WkN5tEZr5TGtcCefpn/F7pK92LAxKno4sxJnEOYTatlnVNfU\n8c2afWzLKKRbuB89YwJJ7BZIZIjPGU16r6l18NWqDD5bnkFtnYOBPUOZe7ZBZDNrenXF/lhTW8e8\nb9L4cfNB/LzduXX2AAb3Cjuj92yrPNbWOViVms2XKzM4mF+ODRjRN5JZY7rTPTqg1T//ZFRcdSFd\n8cujNSiP1lAerdGaeXQ6naTkpfLZrq85cCgLN5sbE2JHM7PHNAI9Xf8X2MlkF5Yz72uTrXsK8XC3\nM3tcD2aOTjjho/1drT/mFVXw9PwtZGSXkhDlz50XD2p2QdmWaus8OpxONqTl8vnyDDKy6z93QI8Q\npgyPY0jvsNN6uMEKKq66kK725dFalEdrKI/WaIs8OpwO1mZv5Itd35BXWYCn3YMp8WcxPWESvh5n\n/hdya3I6nazelsPb3++g5FA13cL9uO4c47inFbtSf0zZlc/zn27lUGUtEwbHMHdGEp4WLXPgqjw6\nnU627i7gixUZmPuKgPp5epOGdOOsId3OaJmO06HiqgvpSl8erUl5tIbyaI22zGOto5YVB9ewYPd3\nFFeX4uPuw9kJk5kUPx4vt/b75BZAeWUNHy7exaIN+3ECEwbHcMWU3kcWR+0K/dHhdPLZsj18unQ3\nbm525p6dxMQh3Sz9jPaQx8ycMhZu3M+KLVlUVtdht9kYlhTOlGGx9Ose0ib7Xqq46kLaQ6fvDJRH\nayiP1nBFHqvrqlmcuZxvMhZSXluBn4cvE2PHMSluHAGe/m0ay6lK31/M61+b7Mspw9/Hgyun9mbc\nwGgiIwM7dX8sq6jhxc9T2ZyeT1igN3dcPLBV9n5sT/9fV1TVsio1m4Ub9rMvp35vzKhQXyYP7cb4\nQTGntOvAqVJx1YW0p07fkSmP1lAereHKPJbXVPDDvh9ZkrmcQ7XleNjdGR09gqkJE4nyjXBJTC1R\n53Dw7ZpMPlm6m6qaOoz4YH5+9XC8O94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DaQkTGaSlHDoNm9PpbLaBYRgvAh+aprmg4Xgv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\nTwrHVbQjojUAAAAASUVORK5CYII=\n", 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160oScTuj/0oZQFO3n+erBzlYN3GoczntvOO6DXz4hotJTXJFnPMHQvzuyUP8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\n71DR0tlPbXPP6K9u2nuGpvw6k/XerSjOpLw4i9L8dGw267x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"text/plain": [ - "" + "" ] }, - "execution_count": 19, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" } @@ -136,19 +136,19 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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ZDzJpaLT+BtMiIsdL4UpE2kx8cCx3DLmRK/tcgrfDmw+yP+Efq/7D9tKdx7Q9\nu83GNWf3oX/PcDK2FfHSJ5txtZ/ZdxERQOFKRNqYzWZjVNww7jvpd4yJG8GeijweW/0Mb5nvUVVf\n3ertOR12fjVtAD3jg/l+w17e/nor7ej0BhERhSsROTECvQKY0eci7hp6CzEB0Szes4wHlj/Cqr1r\nWx2OfLwd3HnRIOIi/Pl85W4+Xb6rjaoWEWk9hSsROaFSQpO5d8SvmdrzTGoaanhp41s8vX42BVVF\nrdpOoJ8Xv71kMGFBPryzMJvF6XltVLGISOsoXInICee0Ozmzx6n8aeRv6ROexqb9W/jbisf4dMdX\nNLgaWryd8GBffnPJYAJ8nby8YDPrsgrbsGoRkZY56qUYDMOwA88Ag4Ba4HrTNLceeC0W+O8hiw8G\n7gFmA68APYBG4AbTNDcfpRZdisEC+oqsNdRHa7Skj003iV7Pu1kfUVZXTqx/NJca00kN69ni/WTv\nKeWR/67F7YbfXjKYtG6hx1n5sXG53ewvrWFPYSW5hZXsKaykuLyWU4YkMLx39DFvV+PRGuqjNdTH\nJsd74+ZpgK9pmqMNwzgJeAw4D8A0zb3ARADDMEYDfwNeBKYATtM0xxiGMfnA8xccx3sQkU6q6SbR\ng+kTbjBv26cs3rOMx9c+x0lxwzk/5RwCvY5+u5teCSHcOm0AT85N5z/vpnPPjKEkRge2Wc1ut5v9\nZbWHhKgKcgsryS2sorb+55ea2LyzmJlnGJwyJKHNahKR9qMl4Woc8CmAaZrLDMMY/tMFDMOwAU8C\nM0zTbDQMYwvgPDDrFQzUW1iziHRC/l5+XGqcz6jYYbxlzmVZ3ioyCzdxy6Br6BGcdNT1B/aK4Nqz\n+/Dixxv519vr+OPMYUSG+h1XTW63m+LyphC1p6CS3KLKAyGqkpq6w0OU02EjNtyf+MgAEiIDiI8M\nJCEqgOraBh5/Zz2vfWZSWV3POaO7H/fV6kWkfWtJuAoGSg953GgYhtM0zUNPjJgKbDBN0zzwuIKm\nQ4KbgUiaZrKOKioqqCWLyVGoj9ZQH63R2j5GRfVjWM/ezN/yFW+kf8Cz6S9x/6m/oVtI/FHXPfeU\nIFx2O7PnZfLE3HT+cdvJhAT6HHH5+oZGCktqyC+uoqC4moLiKgpKqskvriK/uJrCkmrqGw6/UKnT\nYSMhKpCk2GCSYoNIigmiW0wQ8ZEBOBy/fBrrI3Eh3Pf8Ut77dhsum41rp/ZrdcDSeLSG+mgN9bF5\nLTnn6l/AMtM03z7wOMc0zcSfLPM28IRpmksOWafWNM17DcPoBnwNDDBNs6aZXemcKwvoWLg11Edr\nHG8fv89dyeub3yHEO4jfDLuVSL+IFq337sJsPlm2kx6xQVx5pkFJeR1FZTUUldY0/Tzwr6yijiP9\nBQz29yIixJfIEL9DZqMCiA7zw3mEENWc/WU1PPa/deQVVTFuQBxXnWXgsLdsOxqP1lAfraE+Njne\nc66W0DQz9faBc64yfmGZ4cDSQx4X8+OhwP2AF9A1bgImIpYZHT+C6sYa5mZ9xJNrX+SuYbcQ6hNy\n1PUumNCTsqo6Fqfn8cDLq372usNuIzzYByMplIhgXyJCfAk/8DMi2JfwIB+8vaz9kxUe7Ms9M4by\n77fXszgjj8qaem4+rx9eTv1pFOlsWvNtwYGADbgGGAoEmqb5gmEYUcAXpmkOPmSdQGAOEAd40zSr\n9eZRatHMlQX0icIa6qM1rOrj/G2f88mOL4kLiOHOoTe36CT3RpeLBct2UVJRe3iACvYlJNAbu4fO\ne6qubeCp9zLYtLOYPt3DuG36APx8mv+cq/FoDfXRGupjk+Zmro4ark4ghSsLaNBbQ320hlV9dLvd\nvJs1j4U5S+ge1I07htyAr9PXggo9o76hkec+3MDarEKS44K486JBBPl7H3F5jUdrqI/WUB+bNBeu\ndBFREWn3bDYbF6ROZVTsMHaW7+b59Feob+y4X0L2cjq49fz+jB0Qy/a8ch5+Yw37y5o7JVVEOhKF\nKxHpEOw2OzN6X8igqP5sKclm9oY3aHT9/JpSHYXDbueas/tw+ohu5BVV8dDrq9m7v8rTZYmIBRSu\nRKTDcNgdXNPvcnqHpZJRuJHXNr2Dy+06+ortlN1m45JTU5g+vidFZbU89Ppqdu7V4RaRjk7hSkQ6\nFC+7kxsGXElycBIr963hnS3zaEfnjraazWZjypgeXHF6GhVV9fzzrTVs2V3i6bJE5DgoXIlIh+Pr\n9OHWQdcSHxDLt3uW8vH2zz1d0nE7ZWgiN57bj7p6F4/9bx3rt+om1CIdlcKViHRI/l7+3Db4BiL9\nIvh0x1d8uWuRp0s6bqP6xnD7BQOxAU+9l8H3G/Z6uiQROQYKVyLSYYX4BHHH4BsI9Qnh/a3zWZK7\n3NMlHbeBvSL47aWD8fZy8OJHG/lqdY6nSxKRVlK4EpEOLcIvnNsHX0+Alz9vbX6PNfnpni7puKUm\nhnL35UMIDvDmjS+28Manm3F14PPKRLoahSsR6fBiA2K4bdD1+Di8eXnDW2woMo++UjuXFBPEvTOH\nEhniy3+/MPnPu+lUVHfca3uJdCUKVyLSKSQFJ3LzwKux22y8mPEqW0u2e7qk4xYT5s+frxrO4LQo\n0rOLuP+llWzPK/N0WSJyFApXItJppIb14vr+V9DobuTZ9S+xu3yPp0s6bsH+3vz1htGcNy6Z/WU1\nPPT6ar5ek9OhLz8h0tkpXIlIp9I/sg9X9bmE2sZanlo3i/SCDeytzKeuA98ux2G3cd64ZO66ZBC+\n3k5e/3wLz8/bQE1dQ5vve8OO/Tz8+mrmzN9EdW3b70+kM2j+VuwiIh3Q8NghVDfW8l/zPZ7PeOXg\n80FegYT7hRHuG0a4bygRvuGE+4YeeByGXzu/GXT/5Aj+es0Inv0wkxWb8tmdX8Gt0/qTEBVo+b52\n7i3n3YVb2bCjGIAtOaVk7Snl1mn96RZt/f5EOhNbO5padusu28dPdyu3hvpoDU/3cfP+LLaX7qSo\nppj9B/4V15TQ4P7lexL6O/0I9w0jwvfHABbmG0awdxBB3oEEewfi4/DBZrOd0Pfx0z42NLp4d2E2\nn6/cjbeXnavO6M3o/rGW7Cu/pJr3v93G8o37AOifHM7543uyclM+n67YhZfTzozJaZw8MO6E9+F4\neXo8dhbqY5OoqKAj/gegmSsR6bR6h6fSOzz1sOdcbhdldeXsrylpClzVxRTVFh/8Pb+qgJyK3CNu\n09vuRZB3EMHegQdDV9PjA8/5BBHk1fS8r9OnTd6X02Hn0kmppCSE8NKCTbz48Uayckq47LRUvJyO\nY9pmWVUdHy/ZwTdr99DoctM9NoiLJvaib49wAJLjgknrFsrs+Rt5ecFmNu8q5sozDHy99b8RkZ/S\nzFUno08U1lAfrdER++h2u6msr2J/TTFFNcWU1JZSVldOWV055XUVh/082k2jvR3ehHgHMSp2OKcl\njcfL4XVMNTXXx337q3j6/UxyCiroHhPELef3JzrUr8Xbrqlr4POVu1mwfBe1dY1EhfpywYReDO8d\njf0XZqYKS6t57sMNbMstIzbcn1un9Sexgxwm7IjjsT1SH5s0N3OlcNXJaNBbQ320Rmfuo8vtoqqh\nmvK6CsrryimrLaesvqIpeNWWU1bfFMIKqoqoaawhwjeM6alTGRTZr9WH047Wx7r6Rt74Ygvfpefh\n7+Pkuil9GJIa1ew2GxpdfLc+lw+X7KCsso4gfy/OHZvMhMHxOB3Nf9fpsMOSBw4TjusAhwk783g8\nkdTHJgpXXYgGvTXUR2uoj1DdUMOnO77im92LaXQ3YoSlcGHqucQHtvwcqZb28bv0XF7/fAv1DS7O\nGpXE9Ak9cdgPD0put5tVZgFzF2WTX1yNj5eDM0Z244yRSfj5tO4Q39otBcyev4mq2gZG94vlyjMM\nfLyP7bDkiaDxaA31sYnCVReiQW8N9dEa6uOP9lUV8G7WPDYWmdhtdsYnjOac5Mn4e/kfdd3W9HF3\nfgVPv59BfnE1ad1Cufm8foQGNp37tWlnMe8u3Mr2vHIcdhsTBsczdWwyIQHex/y+CkuqefbDDWzP\nKyMuwp9bpvUnsQ2+vWgFjUdrqI9NFK66EA16a6iP1lAffy6zcBNzsz4iv7qQQK8ApvY8gzHxI7Hb\njnworrV9rKpp4KUFm1htFhDs78WFE1NYsXkfmdv2AzCyTzTnj+9JTNjRg11LNDS6ePubrXy5Kgdv\np52ZpxuMGxhnybatpPFoDfWxicJVF6JBbw310Rrq4y+rdzWwcPdiFuz4ktrGOroFxnNh2nmkhCb/\n4vLH0ke3282Xq3J4+5utNLqa/s736R7GhRN7kRwXfNzv4ZesNguY80nTxUbH9o9l5unt6zChxqM1\n1McmClddiAa9NdRHa6iPzSutLePD7AUs37sagOExg5nW62zCfEMPW+54+rh1Tylfr8lhTL9Y+iWH\nt/lJ5wUl1Tz7QSY79pYTHxnALdP6kxAZ0Kb7bCmNR2uoj00UrroQDXprqI/WUB9bZnvpTt7e8iG7\nynPwtntxRo9TmdTtx0s3dLQ+1jc0HSb8anUO3l52rjjdYOwAzx8m7Gh9bK/UxybNhSvdW1BExMOS\nQ7rz++G3MaP3Rfg4fPho22f8v+WPsb4gs0PeoPmHq7jfOq0/DruN2fM3MXv+RiprOu79HUVaQzNX\nnYw+UVhDfbSG+th61Q3VfLL9SxbmLMHldtE7LJULB55FQ5UNX4cvvk4ffB0+OO3Odn9dKYD84iqe\n/WADO/eVE+jnxfTxPRk/KB67/cTXrvFoDfWxiQ4LdiEa9NZQH62hPh67vZX5vJs1j037t/zi63ab\nHT+HLz4HwlZT6PrpYx98nb5425suteDGjdvtPvDTheuwxz/+dB14/cff3SSHdGdgZN9jCnT1DS6+\nXLWbeUt3UFvXSFJ0IJdPTiOtW+jxtKjVNB6toT42UbjqQjToraE+WkN9PD5ut5uN+7ewt34P+8vK\nqWmspaahltrGWmoaag4+rmlseu5ot+M5XsnBSUxLOeeI32o8mpKKWt5dmM3SzL1A0yUhLj4lhfBg\nXyvLPCKNR2uoj00UrroQDXprqI/WUB+t0ZI+ut1u6l31BwJXzWFBrLaxDhtgs9mxYcNms2HDhv3A\nzx8fH/66zda0TIOrgUU537OuIAOA/hF9OK/XWa26yvyhsnNLefOLLWzPK8fbaefsk7pz5qgkvL3a\n9rINGo/WUB+bKFx1IRr01lAfraE+WqO99HF76U4+yP6ErSXbsWFjVNwwpiSf/rNLR7SEy+1macZe\n3l2UTVllHRHBvlxyagrDjKg2O5esvfSxo1MfmyhcdSEa9NZQH62hPlqjPfXR7XazoWgzH2YvILdy\nL152JxMTx3F694ktupXPT1XXNvDR0h18sXI3jS43vZNCufy0NBKjrb+FTnvqY0emPjZRuOpCNOit\noT5aQ320Rnvso8vtYvneNXy87TNKakvxd/pxRo9TmZAw5uD1uVpj7/4q/vtVFunZRdhscMqQBKad\n3JNAv9Zv60jaYx87IvWxicJVF6JBbw310RrqozXacx/rGutZlLOEz3Z+Q3VDNWE+oUzpeTojY4c2\ne7/EI0nPLuStr7ayb38VAb5Ozh/fkwmD43HYj/+yjO25jx2J+thE4aoL0aC3hvpoDfXRGh2hj1X1\nVXy28xsW5iyhwdVAfEAs5/U6i34RvVt9DlVDo4svV+Uwb8l2auoaSYwK5PLTUundPey4auwIfewI\n1McmClddiAa9NdRHa6iP1uhIfSyuKeHjbZ+zfO9q3LhJDe3Jeb3OJjkkqdXbKq2oZe6ibSzOyAPg\ntOGJXDopFfsxnvDekfrYnqmPTRSuuhANemuoj9ZQH63REfu4pyKPedmfklm0CYBBkf0YFTecvuFp\nrT4na3teGbPnbyK3sJLR/WK45uw+OB2tP0zYEfvYHqmPTZoLV84TWYiIiHQNCYFx3DLoGrKKs/kg\newHrCzewvnADPg5vBkT2ZUj0QPqGG3i3IGglxwVzz4yhPPHOer7fsI+qmgZumda/za+LJXKsNHPV\nyegThTXUR2uoj9bo6H10u93sKs9hbX4Ga/LTKarZD4C3w5sBEX0YEj2QfhEG3g7vZrdTW9fIU+9n\nsGH7ftISQ7jjwkH4+7Z8jqCj97G9UB+b6LBgF6JBbw310RrqozU6Ux/dbje7K/YcDFqF1UUAeNu9\n6BfZh6HRA+kX0RufIwSthkYXL360kZWb80mKDuSuSwYTEtB8KPtBZ+qjJ6mPTXRYUERE2gWbzUZS\nUCJJQYmc2/NMciryWJufftg/L7sX/SJ6MzR6AP0i+uDr9Dm4vtNh56Zz++Hv62TRulween01v7tk\nMJGhfh58VyKHU7gSERGPsNlsdAuKp1tQPFN7nkFu5V7WHAhY6woyWFeQgZfdSd+I3gyJGkD34G6E\n+YbiZXdy5RkGgX5ezP9+Jw+9sYbfXDKYhMgAT78lEUDhSkRE2gGbzUZCYBwJgXFMST6dvMp9B4PW\n+oJM1hdkNi2HjWDvICL8wgiPDGPAWAcbt9Tw0Ad7uXrSUAYmJbboJHmRtqRzrjoZHQu3hvpoDfXR\nGl29j3mV+0gv2EB+VSFFNfvZX1NMcW0pLrfrF5cP9g4i3DeMCN+wpp9+TT+H9uhNbddtoyVq6xrx\nC/TBVdfg6VI8TudciYhIhxUXEENcQMxhzzW6GimtK6Ooupj9NcVk5uSwavtO8K7GHdbA7vI97Cjb\nddg6ARv9+P2wO4jyjziR5Xca5q5iXvhoI5XV9fzximEkxQR5uqR2SzNXnUxX/4RrFfXRGuqjNdTH\nltm4Yz9PvpdBXX0jV5yRxqDegRTVNIWvnWW7WZizhKSgRH477Facds0ttFSjy8W8xTv4+PsdALjd\nkBAZwH1XDe/S1xprbubq+O+EKSIi0g707RHOHy4bQoCvF69+uoVl60tJCU1mZOxQLko7j/E9RrGr\nPIcPsxd4utQOo7CkmoffWMNHS3cQHuTLvTOGMWVsMnsKK3lnYbany2u3FK5ERKTT+OFq7mFBPrzz\nTTbvLNzKD0dorh96KdH+kXy9+zsyCzd5uNL2b/nGffzlpRVk7yljZJ9o7r92BCmJIVw9tR/xkQF8\ntTqH9OxCT5fZLh31sKBhGHbgGWAQUAtcb5rm1gOvxQL/PWTxwcA9pmk+ZxjGvcC5gDfwjGmas49S\niw4LWkCHD6yhPlpDfbSG+th6haXVPPa/9ezbX8X4QXFceUZvYmKCWbPN5NHVT+Hj8OaPI+8i1CfE\n06W2OzV1DbzxxRaWZOzFx8vB5ZNTGTcgDtuBG2ZHRQWxOjOXB19dhb+PkweuG0VwCy/k2pkc72HB\naYCvaZqjgXuAx354wTTNvaZpTjRNcyJwL7AGeNEwjInAGGAsMAHodqzFi4iItFZkiB/3zhhKUkwg\n367P47kPM6lvaKRbUDzTU6ZQWV/FyxveOuI3DruqnXvLuf+llSzJ2Ev3mCD+cs0ITh4YfzBY/SAp\nJogLJvSirKqeOZ9soh2dv90utCRcjQM+BTBNcxkw/KcLGIZhA54EbjFNsxE4A8gA3gc+Aj62qmAR\nEZGWCA7w5g+XDSWtWyirzALueXox367PZXDYMAZF9SerZBsLtn/p6TLbBZfbzafLd/Hgq6vYV1zN\nGSO78ccrhhEb7n/EdSaP6EbfHmGkZxfxzdo9J7Da9q8lhwVnAXNN01xw4PEuoKdpmg2HLHMucIFp\nmlcdePwi0B2YAiQD84Depmk2tzPFXhERsVxtfSP/fnMNS9JzAbDbwOgVSEHUZ1Q1VvB/p9xJv+g0\nD1fpOcVlNfz7rTWs3VJAaJAPd106lKG9o1u0blFpNbc/+g21dY08/puJdOtal2c4rutclQGHdst+\naLA6YCbwxCGPi4DNpmnWAaZhGDVAFJDf3I50TsHx07kZ1lAfraE+WkN9PH7Xnd2bq6f05ctlO1ht\nFrBpayn2vX3x7rOC//fFc5wadBljjCRimpmp6YzSs4uYM38jZVX1DOgZwXXn9CE4wLvZ8fbT8Xjl\nGb15+v0MHn55BX+6cjhezq7xXbmoqCMHyZaEqyXAVOBtwzBOoulw308NB5Ye8ngx8GvDMP4FxAEB\nNAUuERERj4iNCOCMkUmcMTKJkopa1m4p4KucGooD1/NZ3kd8tGgoiVGBDE2LYpgRTWJUwM/ONeos\n6htcvLswmy9W7cbpsHHppFROG56I/Rje7zAjivGD4vl2fS7vf7uNi09NaYOKO5aWhKv3gcmGYSyl\naQrsGsMwLgcCTdN8wTCMKKDs0EN+pml+bBjGeGAFTed1/erAuVgiIiIeFxrowylDE5kw5DL+s6aS\nLLaS1L+A3E0O5i3ZwbwlO4gO82NYWhRDjSiS44KPKXi0R3lFlTz/4QZ25VcQG+7PTef2o3vs8R3O\nu2xSKuauYj5dsYt+PcPp1yPcomo7Jl2hvZPR4QNrqI/WUB+toT5a40h9LKsr5+8r/k1VfTW/GnAT\npQV+rDYLSM8uora+aV4gLMiHoalRjBsYd9xBxBMaXS727a9mw/b9zP02m7p6F+MHxXHZpDR8vFt3\nlfUj9XF7Xhl/f201Qf5ePHDdKAL9OvcNtJu7FIPCVSejP8LWUB+toT5aQ320RnN93Lw/i6fWzSLc\nN4x7R/4aP6cfdfWNbNxRzGozn3VbC6msaTrdODkumFOGJDCyT3S7u/2L2+2mtLKOnIIKcvIrD/ys\nILeoiobGpstO+Pk4ufqs3oxo4UnrP9VcH+d/v4O5i7YxNC2KX53fv9MeVgXduFlERKRZvcNTOb37\nKXy282ve3DyXa/vNwNvLweDUSAanRtLQ6GLD9v0sXLun6STwvDL+93UWYwfEMXFIQrOXLGgrtXWN\n7Cn8MUDlFFSQU1BJRXX9Yct5Oe0kRAXQLSqQxKgAhveOJjzYt01qOmtUdzK27WfNlgK+S89j/KD4\nNtlPe6dwJSIiApyTPJmskmzW5KfTOyyVsQmjDr7mdNgZlBLJoJRICkurWbQul+/W5/L5yt18vnI3\nfbqHccqQBAanRuJ0WP9tuYrqerL3lLI9r4ycgqZAVVBc/bNrGEWH+pGaGEK36EASowJJjA4kOtQP\nu/3EzCDZ7TZumNKX/5uzgre+zMLoFtrlvoEJOizY6ejwgTXUR2uoj9ZQH63Rkj7urynmoRWPU++q\n5w/D7yA+MPaIyzY0ulizpYBv1uzB3F0CQEigNxMGxTN+UPwxzw65XG5yCyvZmltK9p5SsveUsXd/\n1WHLBPg6D4anxKgAEqMDSYgMwNe77edMWtLHFZv28dyHG0iOC+LemcPaJHB6ms656kL0R9ga6qM1\n1EdrqI/WaGkf1xdk8kLGq8QGxHD38Nvxdhz9vnl7CitZuHYPSzPzqK5txG6zMSglglOGJtC3R3iz\n3zSsqqknO7fsQJAqZVteGdW1P37B3tfbQc/4YHrFh9ArIZhu0UGEBnp77HymlvZx1scbWZq5lylj\nujN9fK8TUNmJpXOuREREWmhQVH8mJI5lUc4S3tkyjxl9LjzqOgmRAcyYnMaFE3qxfNM+vlmzh7VZ\nhazNKiQ61I+JQxIYNzAOf18neUVVB4NUdm4ZuYWVh20rNtyfoWnB9EoIISU+hPjIgBN2WM9KMyan\nsWV3CfOX7qRfj3CMpDBPl3TCaOaqk9EnXGuoj9ZQH62hPlqjNX2sb6zn0dVPk1ORyzX9Lmd4zOBW\n7cvtdrM9r5xv1uawYlM+9Q0unA473k47VbU/3uTEx9tBz7hgeiX8MDMV0u4vYdCaPm7NKeWhN1YT\nHuTD/deOxN+3fb+31tDMlYiISCt4Oby4tv8MHl75BG9tnkv3oG5E+Ue0eH2bzUbP+GB6xvflklNT\nWZqRx3fpedQ3uhiUEklKQtPMVGJUYIeclWqplMQQpo7pwbwlO3j1M5Obzu3XqS/P8AOFKxERkV8Q\n4x/FZcZ0Xtn4X+ZseIPfDrsVp731/9sM9PPi9JFJnD4yqQ2qbP+mju3Bhu37WbEpn0G9Ihnd/8hf\nEugsFK5ERESOYGTsUDbvz2L53tV8mL2A81POobaxjuqGaqrqq5t+NtRQ3VBNdUMNVQ1Nz1XX1xx4\nren5H5YbGNmXmX0uwm7rfN+eOxKH3c4N5/bjL3NW8NrnJimJIUSF+nm6rDalcCUiItKMi9OmsaNs\nF1/v/o5vdi/G/bOrSzXP1+GLn9MXb7uT5XtXE+EXzjnJk9uo2vYpOtSPmZPTmD1/Ey9+vJG7Lx+C\nw955A6bClYiISDN8nT5c3/8K3s2aR4OrAT+nH35OP/y9/PB3+v74+IffvXzxP/Ccn9P34CxVZX0V\n/1j5BAu2f0mP4CT6RRgefmcn1pj+sWRsK2LFpnz+9upqpo7pwaDUyE5zQ+xD6duCnYy+VWQN9dEa\n6qM11EdrtIc+7irL4bHVT+Pj8OHuEb8mwq/jXZ7gePpYVVPPy5+arN6cjxtIjApgypgeDDeiO9yJ\n/c19W7DzzsmJiIi0M0nBiVyUdh6VDVXMznydelfD0VfqRPx9vbh1Wn8euH4Uo/vFsKewkuc+3MCf\nZi1nSUbewZtLd3QKVyIiIifQ2PhRjIodxs7y3czN+sjT5XhEQmQAN0ztx0M3nsT4QfEUllQze/4m\n/vjCMr5Zu4f6hsajb6QdU7gSERE5gWw2G5ca55MQGMd3e75nxd41ni7JY6LD/Ln6rN784+bRTBqW\nSGllHa99ZnL3c9/z+crd1NZ1zJClcCUiInKCeTu8ub7/THwdvry5eS57KvI8XZJHhQf7MmNyGv+8\neTRnjkqiuraR/36VxR+eW8r873dQXduxDp8qXImIiHhAtH8UV/S9mHpXPbMyXqO6ocbTJXlcSKAP\nF5+SwiO3jmHqmB40NLqZu2gbv39mKR98t42K6npPl9giClciIiIeMjiqP6clTSC/upDXN71DO/oG\nv0cF+nlx/viePHLLGKaP74ndbmPekh38/tmlvPPNVvbur2rXJ7/rOlciIiIedG7PM9lRtot1BRl8\nvfs7JiWN93RJ7Ya/r5MpY3oweXg3Fq3bw4IVu1iwvOmfzQYRwb5Ehfod+Pfj79FhfgR48CbRClci\nIiIe5LA7uLbfTB5e+TgfZH9C9+BupIQme7qsdsXH28HpI5M4ZWgCSzL3krW7lILSagpKqtm0s5hN\nO4t/to6/j/PH0BXmd0gI8yMi2KdNrxCvcCUiIuJhIT5BXNtvBv9Z9wJzMl/n7hF3EuIT5Omy2h0v\np4OJgxOYODjh4HO19Y0UllRTUFJDQUn1wX/5JdXkFlWyc9/PL3jq7WVn0tBEzh7dvU1muBSuRERE\n2oHUsJ6c1+ss3t86n5c2vMHtg2/AYXd4uqx2z8fLQUJUIAlRgT97zeV2U1pRd1joKiipZvOuEhYs\n38W363M5Z3QPJg1LwMtpXa8VrkRERNqJSd3Gs710J+sKMvlo22dMSznb0yV1aHabjbAgH8KCfEjr\nFnrw+br6Rr5ak8P8pTt5+5utfLl6N9PG9WRM/1hLbsOjbwuKiIi0EzabjZl9LiLKL4Ivdi1kfUGm\np0vqlLy9HJw1qjv/uGU0Z41KoqyynjmfbOIvc1awbmvhcX9rU+FKRESkHfFz+nHDgCvxsnvx6sa3\nya8q9HRJnVaArxcXnZLCwzedxLiBceQWVfKfd9P5x5tryd5TeszbVbgSERFpZxIC47jMmE5NYw2z\nMl+jrrHO0yV1auHBvlx7dh8euHYkg1Mi2bK7hL+9tpqn38sgr6iy1dtTuBIREWmHRsUNY1z8KPZU\n5PFf831dYPQESIgK5I4LB3LPjKH0Sghm9ZYC7pu1glc+3UxxeW2Lt6NwJSIi0k5dmHouSUEJLN+7\nmqW5KzxdTpeR1i2UP84cxm3TBxAT7seidbnc+/z3zF2UTVXN0e9zqHAlIiLSTnk5vLi+/xX4O/14\nO+tDdpXleLqkLsNmszE0LYoHrhvJ1Wf1xt/Xyfzvd3LP89/z+Ypdza6rcCUiItKORfiFc1XfS2lw\nNTAr8zWKqn9+NXJpOw67nfGD4nnoptFcMKEnjS43//16a7PrKFyJiIi0c/0j+3B28mSKaor5x8on\n2FhkerqkLsfHy8E5o3vwj5tHM318z2aXVbgSERHpAM7ucRqXGdOpbazlmfVzmL/9C1xul6fL6nIC\n/byYMqZHs8soXImIiHQANpuNcQkn8ZthtxLmG8on27/g2fUvUVHf+ksFSNtSuBIREelAugd34+4R\nd9A33GDjfpN/rPwPO8t2e7osOYTClYiISAcT6BXALYOu4ZzkyRTXlPCv1c+weM8yXQurnVC4EhER\n6YDsNjtnJ0/mlkHX4uPw4S3zPV7b9Lau5t4OKFyJiIh0YP0iDO4e8WuSghJZvnc1j65+Wvcj9DCF\nKxERkQ4uwi+M3wy79eDtcv656j+kF2zwdFldlsKViIhIJ+Bld3JZ7wu4os/FNLgaeD7jFT7MXkCj\nq9HTpXU5ClciIiKdyElxw/ndsNuI9Ivg853f8NT62ZTXVXi6rC5F4UpERKSTSQyK5+7hdzAwsh9b\nirfy0IrH2Va6w9NldRkKVyIiIp2Qv5cfNwy4gvN6nUVZXTn/XvMc3+xerMs1nABOTxcgIiIibcNu\ns3N691PoEdyNOZlv8m7WPOZv/5wgr0ACvQMI9Aok0CuAQO8AgrwCCPRuehzk/cPzgXjZFRVaSx0T\nERHp5NLCUrhn5K+Zm/UReyvzKa+voLBsf4vuTejr8DkYtAK9Augb14txkWNx2B0noPKOSeFKRESk\nCwj1CeG6/jMPPna5XVQ31FBeV0FFfSUVdRWU11dSUVdJRX3Fj88feG1XeQ4ut4vMok3sit3LjD4X\nYrfp7KJfctRwZRiGHXgGGATUAtebprn1wGuxwH8PWXwwcI9pms8deD0aWA1MNk1zs7Wli4iIyLGy\n2+wEePkT4OXfouXdbjfl9RXM2vgqy/auwtfpw4Wp52Kz2dq40o6nJZFzGuBrmuZo4B7gsR9eME1z\nr2maE03TnAjcC6wBXgQwDMMLeB6otrhmEREROcFsNhvB3kH8cfxtxAXEsDBnCfO3f+7pstqlloSr\nccCnAKZpLgOG/3QBwzBswJPALaZp/nC1skeB54Bca0oVERERTwvyCeT2wTcQ6RvOgh1f8eWuRZ4u\nqd1pyTlXwUDpIY8bDcNwmqbZcMhzU4ENpmmaAIZhXA0UmKb5mWEY97a0mKiooJYuKs1QH62hPlpD\nfbSG+mgN9dEaKYkJ/DX0Lv7v68d4f+t8okJDOa3XOE+X1W60JFyVAYeORvtPghXATOCJQx5fC7gN\nwziNpvOwXjUM41zTNPc2t6OCgvIWlCPNiYoKUh8toD5aQ320hvpoDfXRGj/00YYPvxp4Hf9e8xwv\nrnqT+mo3w2MGe7q8E6a5oN6Sw4JLgLMBDMM4Ccj4hWWGA0t/eGCa5njTNCccOBdrHXDl0YKViIiI\ndCyxATH8avB1+Dh8eGXjf8ks3OTpktqFloSr94EawzCWAv8G7jIM43LDMG4EMAwjCigzTVOXfBUR\nEelikoISuWXQNThsDmZlvsaW4mxPl+RxtnZ0GXy3pmuPn6a9raE+WkN9tIb6aA310RpH6uPGIpPn\n0l/GaXdwx5Ab6RGc5IHqTpyoqKAjXoNCV/8SERGR49Y3wuCafpdT11jP0+tmk1vRdc8GUrgSERER\nSwyJHsDMPhdR1VDNk+teJL+q0NMleYTClYiIiFjmpLjhXJR6HmV15Ty57kWKa0o8XdIJp3AlIiIi\nlprYbSxTks9gf00xT66bRXldhadLOqEUrkRERMRyZ/Y4lUlJ49lXlc/T62ZRVd917oancCUiIiKW\ns9lsnN/rHMbGj2J3RS7Ppr9EbWOdp8s6IRSuREREpE3YbDYuNc5nWPQgtpXu4MWMV6l3/fQmL52P\nwpWIiIi0GbvNzlV9L6V/RB827d/CyxvepNHV6Omy2pTClYiIiLQph93Bdf1nkhbai3UFmTyy+im2\nle70dFltRuFKRERE2py3w4ubBl7FyNih7C7fw2Orn+a1jW9TVtf5rprv9HQBIiIi0jX4On25qu+l\njI0fxdtbPmDZ3lWsL8zknOTTGZ8wGofd4ekSLaGZKxERETmhUkKTuXv4HVySNg2w8W7WPB5e+QRZ\nneSmzwpXIiIicsI57A7GJ47hLyf9njFxI8mr3Mfja59nTuYbHf6q7josKCIiIh4T5B3IjD4XMjZh\nJG+bH7I6fz0ZRZs4q8ckTu12Mk57x4sqmrkSERERj+sRnMTvhv+KGb0vxNvuxYfZC/jbin+xscj0\ndGmtpnAlIiIi7YLdZmdM/Ej+ctLvmZA4hoKqIp5eP5sX0l+hqHq/p8trsY431yYiIiKdmr+XPxen\nTWNM3Eje3vIB6ws3sHG/yendT+G0pIl4O7w8XWKzNHMlIiIi7VJiUDx3Db2Fq/peip/Tj/nbv+DB\n5Y+SUbjR06U1S+FKRERE2i2bzcbI2KH830m/Z1K38RTXlvJc+su8vOEtKuorPV3eL1K4EhERkXbP\nz+nL9NQp3DviTroHdWPlvrU8uPwx1hVkerq0n1G4EhERkQ4jPjCW3w67lWm9zqa6oYYXM15lTuYb\nVNS1n1ksndAuIiIiHYrD7mBy94kMiOzD65veYXX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nf/sh+mTmqxBCiBiRZE7MGnazjbtW3RG2pEivp49nDr80Y0OeJoOJsoQSrs7a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\nS1FcPnHmuOn/QFEiyZwQQggxiqtLtxAI+vnDqb8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"text/plain": [ - "" + "" ] }, - "execution_count": 20, + "execution_count": 8, "metadata": {}, "output_type": "execute_result" } @@ -166,19 +166,19 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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"text/plain": [ - "" + "" ] }, - "execution_count": 21, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" } diff --git a/experiments/XGBoostvsLightGBM.ipynb b/experiments/XGBoostvsLightGBM.ipynb index 56fd7da..67addb2 100644 --- a/experiments/XGBoostvsLightGBM.ipynb +++ b/experiments/XGBoostvsLightGBM.ipynb @@ -11,7 +11,7 @@ }, { "cell_type": "code", - "execution_count": 157, + "execution_count": 1, "metadata": { "collapsed": false }, @@ -35,7 +35,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 2, "metadata": { "collapsed": false }, @@ -50,7 +50,7 @@ }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 3, "metadata": { "collapsed": true }, @@ -63,7 +63,7 @@ }, { "cell_type": "code", - "execution_count": 66, + "execution_count": 4, "metadata": { "collapsed": false }, @@ -77,7 +77,7 @@ }, { "cell_type": "code", - "execution_count": 73, + "execution_count": 5, "metadata": { "collapsed": true }, @@ -89,7 +89,7 @@ }, { "cell_type": "code", - "execution_count": 74, + "execution_count": 6, "metadata": { "collapsed": true }, @@ -111,7 +111,7 @@ }, { "cell_type": "code", - "execution_count": 75, + "execution_count": 7, "metadata": { "collapsed": false }, @@ -122,7 +122,7 @@ }, { "cell_type": "code", - "execution_count": 76, + "execution_count": 8, "metadata": { "collapsed": false }, @@ -134,39 +134,45 @@ " 'F1': 0.8962781636444713,\n", " 'Precision': 0.9267527963914166,\n", " 'Recall': 0.8840336262265447},\n", - " 'time': 698.4696359098889},\n", + " 'test_time': 7.74908040324226,\n", + " 'train_time': 647.7121447487734},\n", " 'xgb': {'performance': {'Accuracy': 0.6252965869684249,\n", " 'F1': 0.8959568265280986,\n", " 'Precision': 0.9265072701831234,\n", " 'Recall': 0.883163855065662},\n", - " 'time': 2189.2602830529213}},\n", + " 'test_time': 1.5602951580658555,\n", + " 'train_time': 2186.1748406253755}},\n", " 'BCI': {'lgbm': {'performance': {'AUC': 0.5318846153846153,\n", " 'Accuracy': 0.8812311809969889,\n", " 'F1': 0.12561576354679804,\n", " 'Precision': 0.6071428571428571,\n", " 'Recall': 0.07005494505494506},\n", - " 'time': 5.461165557149798},\n", + " 'test_time': 0.23858023900538683,\n", + " 'train_time': 5.389664636226371},\n", " 'xgb': {'performance': {'AUC': 0.5277435897435897,\n", " 'Accuracy': 0.8812311809969889,\n", " 'F1': 0.11027568922305765,\n", " 'Precision': 0.6285714285714286,\n", " 'Recall': 0.06043956043956044},\n", - " 'time': 11.975342449033633}},\n", + " 'test_time': 0.3745505178812891,\n", + " 'train_time': 12.044140707934275}},\n", " 'Fraud': {'lgbm': {'performance': {'AUC': 0.8749589659417316,\n", " 'Accuracy': 0.9994850368081645,\n", " 'F1': 0.8345864661654134,\n", " 'Precision': 0.940677966101695,\n", " 'Recall': 0.75},\n", - " 'time': 0.726549532962963},\n", + " 'test_time': 0.050938055850565434,\n", + " 'train_time': 0.9537332961335778},\n", " 'xgb': {'performance': {'AUC': 0.8749531039334075,\n", " 'Accuracy': 0.9994733330992591,\n", " 'F1': 0.8314606741573033,\n", " 'Precision': 0.9327731092436975,\n", " 'Recall': 0.75},\n", - " 'time': 7.974235568195581}}}" + " 'test_time': 0.11142425402067602,\n", + " 'train_time': 7.827869581989944}}}" ] }, - "execution_count": 76, + "execution_count": 8, "metadata": {}, "output_type": "execute_result" } @@ -184,7 +190,7 @@ }, { "cell_type": "code", - "execution_count": 137, + "execution_count": 9, "metadata": { "collapsed": true }, @@ -197,42 +203,47 @@ }, { "cell_type": "code", - "execution_count": 138, + "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [], "source": [ - "def time_ratio(dataset):\n", - " return dataset['xgb']['time']/dataset['lgbm']['time']" + "def train_time_ratio(dataset):\n", + " return dataset['xgb']['train_time']/dataset['lgbm']['train_time']\n", + "\n", + "def test_time_ratio(dataset):\n", + " return dataset['xgb']['test_time']/dataset['lgbm']['test_time']" ] }, { "cell_type": "code", - "execution_count": 141, + "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [], "source": [ - "metrics = juxt(average_performance_diff, time_ratio)\n", + "metrics = juxt(average_performance_diff, train_time_ratio, test_time_ratio)\n", "res_per_dataset = {dataset_key:metrics(dataset) for dataset_key, dataset in results.items()}" ] }, { "cell_type": "code", - "execution_count": 145, + "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [], "source": [ - "results_df = pd.DataFrame(res_per_dataset, index=['Performance Difference(%)', 'Time Ratio']).T" + "results_df = pd.DataFrame(res_per_dataset, index=['Performance Difference(%)', \n", + " 'Train Time Ratio', \n", + " 'Test Time Ratio']).T" ] }, { "cell_type": "code", - "execution_count": 162, + "execution_count": 16, "metadata": { "collapsed": false }, @@ -246,37 +257,41 @@ " \n", " \n", " Performance Difference(%)\n", - " Time Ratio\n", + " Train Time Ratio\n", + " Test Time Ratio\n", " \n", " \n", " \n", " \n", " Amazon\n", " 0.003644\n", - " 3.134367\n", + " 3.375226\n", + " 0.201352\n", " \n", " \n", " BCI\n", " 4.637308\n", - " 2.192818\n", + " 2.234673\n", + " 1.569914\n", " \n", " \n", " Fraud\n", " 0.243342\n", - " 10.975488\n", + " 8.207609\n", + " 2.187446\n", " \n", " \n", "\n", "" ], "text/plain": [ - " Performance Difference(%) Time Ratio\n", - "Amazon 0.003644 3.134367\n", - "BCI 4.637308 2.192818\n", - "Fraud 0.243342 10.975488" + " Performance Difference(%) Train Time Ratio Test Time Ratio\n", + "Amazon 0.003644 3.375226 0.201352\n", + "BCI 4.637308 2.234673 1.569914\n", + "Fraud 0.243342 8.207609 2.187446" ] }, - "execution_count": 162, + "execution_count": 16, "metadata": {}, "output_type": "execute_result" } @@ -287,16 +302,16 @@ }, { "cell_type": "code", - "execution_count": 160, + "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -304,12 +319,12 @@ } ], "source": [ - "results_df[['Time Ratio']].plot(kind='bar');" + "results_df[['Train Time Ratio']].plot(kind='bar');" ] }, { "cell_type": "code", - "execution_count": 161, + "execution_count": 19, "metadata": { "collapsed": false }, @@ -318,7 +333,7 @@ "data": { "image/png": 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