EconML/notebooks/Policy Learning with Trees ...

572 строки
306 KiB
Plaintext

{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "designed-drain",
"metadata": {},
"outputs": [],
"source": [
"%load_ext autoreload\n",
"%autoreload 2"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "retired-asbestos",
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"from econml.policy import PolicyTree, PolicyForest\n",
"from econml.policy import DRPolicyTree, DRPolicyForest\n",
"from econml.dml import LinearDML\n",
"from econml.cate_interpreter import SingleTreePolicyInterpreter\n",
"import pandas as pd\n",
"\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"id": "neither-nudist",
"metadata": {},
"source": [
"# PolicyTree and PolicyForest\n",
"\n",
"These are basic tree and forest classes, that accept `X, y` where `y` is `(n_samples, n_outputs)` and\n",
"trains a tree to maximize the linear welfare criterion: `<f(X), y>`, where the maximization is over functions from `X` to `{e_1, ..., e_{n_outputs}}`, representable by either a tree or a forest. The `predict` method returns the coordinate that achieves the maximum `y[i]` for each `X` based on the tree policy. The `predict_value` method returns the conditional mean value of all coordinates, conditional on `X`, for the leaf that `X` falls in. These classes can be used as building blocks for other functionalities, such as the `SingleTreePolicyInterpreter` or the `DRPolicyTree` or `DRPolicyForest`."
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "narrow-dutch",
"metadata": {},
"outputs": [],
"source": [
"X = np.random.normal(size=(1000, 10))\n",
"y = np.hstack([X[:, [0]] > 0, X[:, [0]] < 0])"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "included-payday",
"metadata": {},
"outputs": [],
"source": [
"est = PolicyTree(min_impurity_decrease=.001, honest=True).fit(X, y)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "reserved-lover",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([1., 0., 0., 0., 0., 0., 0., 0., 0., 0.])"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"est.feature_importances_"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "accepted-collar",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 1800x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(25, 5))\n",
"est.plot(treatment_names=['A', 'B'])\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "chemical-coverage",
"metadata": {},
"outputs": [],
"source": [
"est = PolicyForest(honest=True).fit(X, y)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "compatible-audience",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([1., 0., 0., 0., 0., 0., 0., 0., 0., 0.])"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"est.feature_importances_"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "premium-screening",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 1080x360 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(15, 5))\n",
"plt.subplot(1, 2, 1)\n",
"plt.title('Policy')\n",
"plt.scatter(X[:, 0], est.predict(X))\n",
"plt.scatter(X[:, 0], est.predict_proba(X)[:, 1])\n",
"plt.subplot(1, 2, 2)\n",
"plt.title('Conditional Values')\n",
"plt.scatter(X[:, 0], est.predict_value(X)[:, 0])\n",
"plt.scatter(X[:, 0], est.predict_value(X)[:, 1])\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "cultural-harbor",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 1080x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(15, 5))\n",
"est[0].plot(max_depth=2)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "revolutionary-germany",
"metadata": {},
"source": [
"# Using Them for CATE Policy Interpretation\n",
"\n",
"We can use the `PolicyTree` to interpret a CATE model, in terms of actionable insights. This functionality is wrapped in the `SingleTreePolicyInterpreter` class."
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "hazardous-shelf",
"metadata": {},
"outputs": [],
"source": [
"X = np.random.normal(size=(1000, 10))\n",
"T = np.random.binomial(2, .5, size=(1000,))\n",
"y = (X[:, 0]) * (T==1) + (-X[:, 0]) * (T==2)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "affected-static",
"metadata": {},
"outputs": [],
"source": [
"est = LinearDML(discrete_treatment=True).fit(y, T, X=X)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "suspended-person",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<econml.cate_interpreter._interpreters.SingleTreePolicyInterpreter at 0x1adb89db3c8>"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"intrp = SingleTreePolicyInterpreter(include_model_uncertainty=True, max_depth=2, min_impurity_decrease=.001)\n",
"intrp.interpret(est, X, sample_treatment_costs=.2 * np.ones((X.shape[0], 2)))"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "first-drunk",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 1080x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(15, 8))\n",
"intrp.plot(treatment_names=['None', 'A', 'B'])\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "generous-internship",
"metadata": {},
"source": [
"# StandAlone Policy Learning\n",
"\n",
"We can also learn optimal policies directly from data without the need to train a CATE model first. This is achieved by our `DRPolicyTree` and `DRPolicyForest`, which trains a `PolicyTree` and `PolicyForest` correspondingly, on the doubly robust counterfactual outcome targets. This is the policy learning analogue of the `DRLearner`, but rather than now trying to learn a good model of the treatment effect heterogeneity, we are learning a good treatment policy directly."
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "superior-pocket",
"metadata": {},
"outputs": [],
"source": [
"X = np.random.normal(size=(4000, 10))\n",
"T = np.random.binomial(2, .5, size=(4000,))\n",
"y = (X[:, 0]) * (T==1) + (-X[:, 0]) * (T==2) + np.random.normal(0, 2, size=(4000,))"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "educational-preference",
"metadata": {},
"outputs": [],
"source": [
"T = pd.DataFrame(T, columns=['A'])"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "floral-packing",
"metadata": {},
"outputs": [],
"source": [
"est = DRPolicyTree(max_depth=2, min_impurity_decrease=0.01, honest=True)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "chicken-consultancy",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<econml.policy._drlearner.DRPolicyTree at 0x1adb89d2630>"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"est.fit(y, T, X=X)"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "sunrise-africa",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"PolicyTree(max_depth=2, max_features='auto', min_impurity_decrease=0.01)"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"est.policy_model_"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "commercial-lodge",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 720x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10,5))\n",
"est.plot(feature_names=['a'+str(i) for i in range(10)])"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "level-outside",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([1., 0., 0., 0., 0., 0., 0., 0., 0., 0.])"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"est.feature_importances_"
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "immediate-environment",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 1080x360 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(15, 5))\n",
"plt.subplot(1, 2, 1)\n",
"plt.title('Policy')\n",
"plt.scatter(X[:, 0], est.predict(X))\n",
"plt.subplot(1, 2, 2)\n",
"plt.title('Conditional Values')\n",
"plt.scatter(X[:, 0], est.predict_value(X)[:, 0])\n",
"plt.scatter(X[:, 0], est.predict_value(X)[:, 1])\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "monthly-milton",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<econml.policy._drlearner.DRPolicyForest at 0x1adb843d358>"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"est = DRPolicyForest(n_estimators=1000,\n",
" max_depth=2,\n",
" min_samples_leaf=50,\n",
" max_samples=.8,\n",
" honest=True,\n",
" min_impurity_decrease=0.01,\n",
" random_state=123)\n",
"est.fit(y, T, X=X)"
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "proper-strand",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([ 9.99822982e-01, -9.69839399e-19, 2.32900716e-18, 1.13384495e-20,\n",
" 3.81744321e-06, 6.77744462e-05, -1.00826898e-18, 5.86452468e-05,\n",
" -3.68359212e-18, 4.67812812e-05])"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"est.feature_importances_"
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "commercial-quantum",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"PolicyForest(max_depth=2, max_samples=0.8, min_impurity_decrease=0.01,\n",
" min_samples_leaf=50, random_state=123)"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"est.policy_model_"
]
},
{
"cell_type": "code",
"execution_count": 26,
"id": "regulation-breakdown",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 1080x360 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(15, 5))\n",
"plt.subplot(1, 2, 1)\n",
"plt.title('Policy')\n",
"plt.scatter(X[:, 0], est.predict(X))\n",
"plt.subplot(1, 2, 2)\n",
"plt.title('Conditional Values')\n",
"plt.scatter(X[:, 0], est.predict_value(X)[:, 0])\n",
"plt.scatter(X[:, 0], est.predict_value(X)[:, 1])\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "postal-industry",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.11.6"
}
},
"nbformat": 4,
"nbformat_minor": 5
}