{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "a22a5ebb-54fe-431f-bc8c-667d36f6f798",
"metadata": {
"execution": {
"iopub.execute_input": "2023-03-06T20:47:04.654741Z",
"iopub.status.busy": "2023-03-06T20:47:04.654422Z",
"iopub.status.idle": "2023-03-06T20:47:04.659468Z",
"shell.execute_reply": "2023-03-06T20:47:04.657869Z",
"shell.execute_reply.started": "2023-03-06T20:47:04.654711Z"
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"tags": []
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/pedrotabacof/Git/rust-trees/.env/lib/python3.10/site-packages/shap/utils/_clustering.py:35: NumbaDeprecationWarning: The 'nopython' keyword argument was not supplied to the 'numba.jit' decorator. The implicit default value for this argument is currently False, but it will be changed to True in Numba 0.59.0. See https://numba.readthedocs.io/en/stable/reference/deprecation.html#deprecation-of-object-mode-fall-back-behaviour-when-using-jit for details.\n",
" def _pt_shuffle_rec(i, indexes, index_mask, partition_tree, M, pos):\n",
"/Users/pedrotabacof/Git/rust-trees/.env/lib/python3.10/site-packages/shap/utils/_clustering.py:54: NumbaDeprecationWarning: The 'nopython' keyword argument was not supplied to the 'numba.jit' decorator. The implicit default value for this argument is currently False, but it will be changed to True in Numba 0.59.0. See https://numba.readthedocs.io/en/stable/reference/deprecation.html#deprecation-of-object-mode-fall-back-behaviour-when-using-jit for details.\n",
" def delta_minimization_order(all_masks, max_swap_size=100, num_passes=2):\n",
"/Users/pedrotabacof/Git/rust-trees/.env/lib/python3.10/site-packages/shap/utils/_clustering.py:63: NumbaDeprecationWarning: The 'nopython' keyword argument was not supplied to the 'numba.jit' decorator. The implicit default value for this argument is currently False, but it will be changed to True in Numba 0.59.0. See https://numba.readthedocs.io/en/stable/reference/deprecation.html#deprecation-of-object-mode-fall-back-behaviour-when-using-jit for details.\n",
" def _reverse_window(order, start, length):\n",
"/Users/pedrotabacof/Git/rust-trees/.env/lib/python3.10/site-packages/shap/utils/_clustering.py:69: NumbaDeprecationWarning: The 'nopython' keyword argument was not supplied to the 'numba.jit' decorator. The implicit default value for this argument is currently False, but it will be changed to True in Numba 0.59.0. See https://numba.readthedocs.io/en/stable/reference/deprecation.html#deprecation-of-object-mode-fall-back-behaviour-when-using-jit for details.\n",
" def _reverse_window_score_gain(masks, order, start, length):\n",
"/Users/pedrotabacof/Git/rust-trees/.env/lib/python3.10/site-packages/shap/utils/_clustering.py:77: NumbaDeprecationWarning: The 'nopython' keyword argument was not supplied to the 'numba.jit' decorator. The implicit default value for this argument is currently False, but it will be changed to True in Numba 0.59.0. See https://numba.readthedocs.io/en/stable/reference/deprecation.html#deprecation-of-object-mode-fall-back-behaviour-when-using-jit for details.\n",
" def _mask_delta_score(m1, m2):\n",
"/Users/pedrotabacof/Git/rust-trees/.env/lib/python3.10/site-packages/shap/links.py:5: NumbaDeprecationWarning: The 'nopython' keyword argument was not supplied to the 'numba.jit' decorator. The implicit default value for this argument is currently False, but it will be changed to True in Numba 0.59.0. See https://numba.readthedocs.io/en/stable/reference/deprecation.html#deprecation-of-object-mode-fall-back-behaviour-when-using-jit for details.\n",
" def identity(x):\n",
"/Users/pedrotabacof/Git/rust-trees/.env/lib/python3.10/site-packages/shap/links.py:10: NumbaDeprecationWarning: The 'nopython' keyword argument was not supplied to the 'numba.jit' decorator. The implicit default value for this argument is currently False, but it will be changed to True in Numba 0.59.0. See https://numba.readthedocs.io/en/stable/reference/deprecation.html#deprecation-of-object-mode-fall-back-behaviour-when-using-jit for details.\n",
" def _identity_inverse(x):\n",
"/Users/pedrotabacof/Git/rust-trees/.env/lib/python3.10/site-packages/shap/links.py:15: NumbaDeprecationWarning: The 'nopython' keyword argument was not supplied to the 'numba.jit' decorator. The implicit default value for this argument is currently False, but it will be changed to True in Numba 0.59.0. See https://numba.readthedocs.io/en/stable/reference/deprecation.html#deprecation-of-object-mode-fall-back-behaviour-when-using-jit for details.\n",
" def logit(x):\n",
"/Users/pedrotabacof/Git/rust-trees/.env/lib/python3.10/site-packages/shap/links.py:20: NumbaDeprecationWarning: The 'nopython' keyword argument was not supplied to the 'numba.jit' decorator. The implicit default value for this argument is currently False, but it will be changed to True in Numba 0.59.0. See https://numba.readthedocs.io/en/stable/reference/deprecation.html#deprecation-of-object-mode-fall-back-behaviour-when-using-jit for details.\n",
" def _logit_inverse(x):\n",
"/Users/pedrotabacof/Git/rust-trees/.env/lib/python3.10/site-packages/shap/utils/_masked_model.py:363: NumbaDeprecationWarning: The 'nopython' keyword argument was not supplied to the 'numba.jit' decorator. The implicit default value for this argument is currently False, but it will be changed to True in Numba 0.59.0. See https://numba.readthedocs.io/en/stable/reference/deprecation.html#deprecation-of-object-mode-fall-back-behaviour-when-using-jit for details.\n",
" def _build_fixed_single_output(averaged_outs, last_outs, outputs, batch_positions, varying_rows, num_varying_rows, link, linearizing_weights):\n",
"/Users/pedrotabacof/Git/rust-trees/.env/lib/python3.10/site-packages/shap/utils/_masked_model.py:385: NumbaDeprecationWarning: The 'nopython' keyword argument was not supplied to the 'numba.jit' decorator. The implicit default value for this argument is currently False, but it will be changed to True in Numba 0.59.0. See https://numba.readthedocs.io/en/stable/reference/deprecation.html#deprecation-of-object-mode-fall-back-behaviour-when-using-jit for details.\n",
" def _build_fixed_multi_output(averaged_outs, last_outs, outputs, batch_positions, varying_rows, num_varying_rows, link, linearizing_weights):\n",
"/Users/pedrotabacof/Git/rust-trees/.env/lib/python3.10/site-packages/shap/utils/_masked_model.py:428: NumbaDeprecationWarning: The 'nopython' keyword argument was not supplied to the 'numba.jit' decorator. The implicit default value for this argument is currently False, but it will be changed to True in Numba 0.59.0. See https://numba.readthedocs.io/en/stable/reference/deprecation.html#deprecation-of-object-mode-fall-back-behaviour-when-using-jit for details.\n",
" def _init_masks(cluster_matrix, M, indices_row_pos, indptr):\n",
"/Users/pedrotabacof/Git/rust-trees/.env/lib/python3.10/site-packages/shap/utils/_masked_model.py:439: NumbaDeprecationWarning: The 'nopython' keyword argument was not supplied to the 'numba.jit' decorator. The implicit default value for this argument is currently False, but it will be changed to True in Numba 0.59.0. See https://numba.readthedocs.io/en/stable/reference/deprecation.html#deprecation-of-object-mode-fall-back-behaviour-when-using-jit for details.\n",
" def _rec_fill_masks(cluster_matrix, indices_row_pos, indptr, indices, M, ind):\n",
"/Users/pedrotabacof/Git/rust-trees/.env/lib/python3.10/site-packages/shap/maskers/_tabular.py:186: NumbaDeprecationWarning: The 'nopython' keyword argument was not supplied to the 'numba.jit' decorator. The implicit default value for this argument is currently False, but it will be changed to True in Numba 0.59.0. See https://numba.readthedocs.io/en/stable/reference/deprecation.html#deprecation-of-object-mode-fall-back-behaviour-when-using-jit for details.\n",
" def _single_delta_mask(dind, masked_inputs, last_mask, data, x, noop_code):\n",
"/Users/pedrotabacof/Git/rust-trees/.env/lib/python3.10/site-packages/shap/maskers/_tabular.py:197: NumbaDeprecationWarning: The 'nopython' keyword argument was not supplied to the 'numba.jit' decorator. The implicit default value for this argument is currently False, but it will be changed to True in Numba 0.59.0. See https://numba.readthedocs.io/en/stable/reference/deprecation.html#deprecation-of-object-mode-fall-back-behaviour-when-using-jit for details.\n",
" def _delta_masking(masks, x, curr_delta_inds, varying_rows_out,\n",
"/Users/pedrotabacof/Git/rust-trees/.env/lib/python3.10/site-packages/shap/maskers/_image.py:175: NumbaDeprecationWarning: The 'nopython' keyword argument was not supplied to the 'numba.jit' decorator. The implicit default value for this argument is currently False, but it will be changed to True in Numba 0.59.0. See https://numba.readthedocs.io/en/stable/reference/deprecation.html#deprecation-of-object-mode-fall-back-behaviour-when-using-jit for details.\n",
" def _jit_build_partition_tree(xmin, xmax, ymin, ymax, zmin, zmax, total_ywidth, total_zwidth, M, clustering, q):\n",
"/Users/pedrotabacof/Git/rust-trees/.env/lib/python3.10/site-packages/shap/explainers/_partition.py:676: NumbaDeprecationWarning: The 'nopython' keyword argument was not supplied to the 'numba.jit' decorator. The implicit default value for this argument is currently False, but it will be changed to True in Numba 0.59.0. See https://numba.readthedocs.io/en/stable/reference/deprecation.html#deprecation-of-object-mode-fall-back-behaviour-when-using-jit for details.\n",
" def lower_credit(i, value, M, values, clustering):\n",
"The 'nopython' keyword argument was not supplied to the 'numba.jit' decorator. The implicit default value for this argument is currently False, but it will be changed to True in Numba 0.59.0. See https://numba.readthedocs.io/en/stable/reference/deprecation.html#deprecation-of-object-mode-fall-back-behaviour-when-using-jit for details.\n",
"The 'nopython' keyword argument was not supplied to the 'numba.jit' decorator. The implicit default value for this argument is currently False, but it will be changed to True in Numba 0.59.0. See https://numba.readthedocs.io/en/stable/reference/deprecation.html#deprecation-of-object-mode-fall-back-behaviour-when-using-jit for details.\n",
"The seaborn styles shipped by Matplotlib are deprecated since 3.6, as they no longer correspond to the styles shipped by seaborn. However, they will remain available as 'seaborn-v0_8-\n",
"
\n",
" \n",
" \n",
" \n",
" time \n",
" device \n",
" browser \n",
" region \n",
" discount \n",
" spend \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" 10.78 \n",
" mobile \n",
" edge \n",
" 9 \n",
" 0 \n",
" 0.46 \n",
" \n",
" \n",
" 1 \n",
" 0.57 \n",
" desktop \n",
" firefox \n",
" 9 \n",
" 1 \n",
" 11.04 \n",
" \n",
" \n",
" 2 \n",
" 3.74 \n",
" mobile \n",
" safari \n",
" 7 \n",
" 0 \n",
" 1.81 \n",
" \n",
" \n",
" 3 \n",
" 13.37 \n",
" desktop \n",
" other \n",
" 5 \n",
" 0 \n",
" 31.90 \n",
" \n",
" \n",
" 4 \n",
" 0.71 \n",
" mobile \n",
" explorer \n",
" 2 \n",
" 0 \n",
" 15.42 \n",
" \n",
" \n",
"
\n",
""
],
"text/plain": [
" time device browser region discount spend\n",
"0 10.78 mobile edge 9 0 0.46\n",
"1 0.57 desktop firefox 9 1 11.04\n",
"2 3.74 mobile safari 7 0 1.81\n",
"3 13.37 desktop other 5 0 31.90\n",
"4 0.71 mobile explorer 2 0 15.42"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dgp = dgp_online_discounts(n=100_000)\n",
"df = dgp.generate_data()\n",
"df.head()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "7741abf9",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
" coef std err t P>|t| [0.025 0.975] \n",
" \n",
"\n",
" Intercept 5.0306 0.046 109.949 0.000 4.941 5.120 \n",
" \n",
"\n",
" discount 3.8568 0.065 59.597 0.000 3.730 3.984 \n",
" \n",
"
"
],
"text/latex": [
"\\begin{center}\n",
"\\begin{tabular}{lcccccc}\n",
"\\toprule\n",
" & \\textbf{coef} & \\textbf{std err} & \\textbf{t} & \\textbf{P$> |$t$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n",
"\\midrule\n",
"\\textbf{Intercept} & 5.0306 & 0.046 & 109.949 & 0.000 & 4.941 & 5.120 \\\\\n",
"\\textbf{discount} & 3.8568 & 0.065 & 59.597 & 0.000 & 3.730 & 3.984 \\\\\n",
"\\bottomrule\n",
"\\end{tabular}\n",
"\\end{center}"
],
"text/plain": [
""
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"smf.ols('spend ~ discount', df).fit().summary().tables[1]"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "7e3e9b14",
"metadata": {},
"outputs": [],
"source": [
"df_dummies = pd.get_dummies(df[dgp.X[1:]], drop_first=True)\n",
"df = pd.concat([df, df_dummies], axis=1)\n",
"X = ['time'] + list(df_dummies.columns)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "b0b2ab19",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.linear_model import LogisticRegression\n",
"\n",
"df['pscore'] = LogisticRegression().fit(df[X], df[dgp.D]).predict_proba(df[X])[:,1]\n",
"sns.histplot(data=df, x='pscore', hue='discount').set(title='Predicted propensity scores');"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "2aca855f",
"metadata": {},
"outputs": [],
"source": [
"df['y_star'] = df[dgp.Y[0]] / (df[dgp.D] * df['pscore'] - (1-df[dgp.D]) * (1-df['pscore']))"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "1151cdab",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"3.8512943695973365"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df['y_star'].mean()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "83e8760a",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.histplot(df['y_star']).set(title='Distribution of Auxiliary Variable');"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "ceb5e7b2",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 36.4 ms, sys: 3.53 ms, total: 39.9 ms\n",
"Wall time: 38.9 ms\n"
]
},
{
"data": {
"text/plain": [
"3.8512943695973263"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%%time\n",
"tree = SKDecisionTreeRegressor(max_depth=2).fit(df[X], df['y_star'])\n",
"df['y_hat'] = tree.predict(df[X])\n",
"df['y_hat'].mean()"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "5d77a5a4",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.tree import plot_tree\n",
"\n",
"plot_tree(tree, filled=True, fontsize=12, feature_names=X, impurity=False, rounded=True);"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "5a80a0b0",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 7.17 s, sys: 5.44 s, total: 12.6 s\n",
"Wall time: 2.41 s\n"
]
}
],
"source": [
"%%time\n",
"tree_model = CausalForestDML(n_estimators=100, subforest_size=1, inference=False, max_depth=2)\n",
"tree_model = tree_model.fit(Y=df[dgp.Y], X=df[X], T=df[dgp.D])"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "459252c0",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from econml.cate_interpreter import SingleTreeCateInterpreter\n",
"%matplotlib inline\n",
"\n",
"intrp = SingleTreeCateInterpreter(max_depth=2).interpret(tree_model, df[X])\n",
"intrp.plot(feature_names=X, fontsize=12)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "04dbb842",
"metadata": {},
"outputs": [],
"source": [
"def compute_discrete_effects(df, hte_model):\n",
" temp_df = df.copy()\n",
" temp_df.time = 0\n",
" temp_df = dgp.add_treatment_effect(temp_df)\n",
" temp_df = temp_df.rename(columns={'effect_on_spend': 'True'})\n",
" temp_df['Predicted'] = hte_model.effect(temp_df[X])\n",
" df_effects = pd.DataFrame()\n",
" for var in X[1:]:\n",
" for effect in ['True', 'Predicted']:\n",
" v = temp_df[effect][temp_df[var]==1].mean() - temp_df[effect][temp_df[var]==0].mean()\n",
" effect_var = {'Variable': [var], 'Effect': [effect], 'Value': [v]}\n",
" df_effects = pd.concat([df_effects, pd.DataFrame(effect_var)]).reset_index(drop=True)\n",
" return df_effects, temp_df['Predicted'].mean()"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "15956c75",
"metadata": {},
"outputs": [],
"source": [
"df_effects_tree, avg_effect_notime_tree = compute_discrete_effects(df, tree_model)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "ae28b92c",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"sns.barplot(data=df_effects_tree, x=\"Variable\", y=\"Value\", hue=\"Effect\", ax=ax).set(\n",
" xlabel='', ylabel='', title='Heterogeneous Treatment Effects')\n",
"ax.set_xticklabels(ax.get_xticklabels(), rotation=45, ha=\"right\");\n"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "15160a19",
"metadata": {},
"outputs": [],
"source": [
"def compute_time_effect(df, hte_model, avg_effect_notime):\n",
" df_time = df.copy()\n",
" df_time[[X[1:]] + ['device', 'browser', 'region']] = 0\n",
" df_time = dgp.add_treatment_effect(df_time)\n",
" df_time['predicted'] = hte_model.effect(df_time[X]) + avg_effect_notime\n",
" return df_time"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "25436825",
"metadata": {},
"outputs": [],
"source": [
"df_time_tree = compute_time_effect(df, tree_model, avg_effect_notime_tree)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "911ffb3c",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.scatterplot(x='time', y='effect_on_spend', data=df_time_tree, label='True')\n",
"sns.scatterplot(x='time', y='predicted', data=df_time_tree, label='Predicted').set(\n",
" ylabel='', title='Heterogeneous Treatment Effects')\n",
"plt.legend(title='Effect');"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "7cd77988",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 345 ms, sys: 6.15 ms, total: 351 ms\n",
"Wall time: 345 ms\n"
]
},
{
"data": {
"text/plain": [
"3.8512944427132605"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%%time\n",
"tree = rt_dt.DecisionTreeRegressor(max_depth=2)\n",
"tree.fit(df[X], df['y_star'])\n",
"df['y_hat'] = tree.predict(df[X])\n",
"df['y_hat'].mean()"
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "890df354",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 35.4 s, sys: 111 ms, total: 35.5 s\n",
"Wall time: 5.05 s\n"
]
},
{
"data": {
"text/plain": [
"3.849617636628151"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%%time\n",
"rf = rt_rf.RandomForestRegressor(max_depth=2, n_estimators=100)\n",
"rf.fit(df[X], df['y_star'])\n",
"df['y_hat'] = rf.predict(df[X])\n",
"df['y_hat'].mean()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "d608d2a8",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"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": "3.10.9"
}
},
"nbformat": 4,
"nbformat_minor": 5
}