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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import shap\n",
"from matplotlib import pyplot as plt\n",
"from sklearn import datasets\n",
"from sklearn.ensemble import RandomForestRegressor"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"data = datasets.load_boston()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"X = data[\"data\"]\n",
"y = data[\"target\"]"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(array([ 21., 55., 82., 154., 84., 41., 30., 8., 10., 21.]),\n",
" array([ 5. , 9.5, 14. , 18.5, 23. , 27.5, 32. , 36.5, 41. , 45.5, 50. ]),\n",
" <a list of 10 Patch objects>)"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.hist(y)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"y_transformed = np.log(y)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(array([ 3., 8., 13., 23., 63., 100., 172., 52., 40., 32.]),\n",
" array([1.60943791, 1.83969642, 2.06995493, 2.30021344, 2.53047195,\n",
" 2.76073046, 2.99098897, 3.22124748, 3.45150599, 3.6817645 ,\n",
" 3.91202301]),\n",
" <a list of 10 Patch objects>)"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.hist(y_transformed)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"rf = RandomForestRegressor()"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"RandomForestRegressor(bootstrap=True, ccp_alpha=0.0, criterion='mse',\n",
" max_depth=None, max_features='auto', max_leaf_nodes=None,\n",
" max_samples=None, min_impurity_decrease=0.0,\n",
" min_impurity_split=None, min_samples_leaf=1,\n",
" min_samples_split=2, min_weight_fraction_leaf=0.0,\n",
" n_estimators=100, n_jobs=None, oob_score=False,\n",
" random_state=None, verbose=0, warm_start=False)"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"rf.fit(X, y_transformed)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Setting feature_perturbation = \"tree_path_dependent\" because no background data was given.\n"
]
}
],
"source": [
"explainer = shap.TreeExplainer(rf)\n",
"shap_values = explainer.shap_values(X)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x482.4 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"shap.decision_plot(explainer.expected_value, shap_values[:10,:], X[:10,:]) "
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "venv",
"language": "python",
"name": "venv"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.7"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
@pplonski
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@pplonski
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