{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Calculating SHAP Values for DRF models in H2O\n", "\n", "Note: this example is adapted from an example published in the shap package https://github.com/slundberg/shap/blob/master/notebooks/tree_explainer/Front%20page%20example%20(XGBoost).ipynb" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Checking whether there is an H2O instance running at http://localhost:54321 . connected.\n" ] }, { "data": { "text/html": [ "
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H2O cluster uptime:5 mins 20 secs
H2O cluster timezone:America/Los_Angeles
H2O data parsing timezone:UTC
H2O cluster version:3.25.0.99999
H2O cluster version age:9 minutes
H2O cluster name:navdeepgill
H2O cluster total nodes:1
H2O cluster free memory:3.250 Gb
H2O cluster total cores:8
H2O cluster allowed cores:8
H2O cluster status:locked, healthy
H2O connection url:http://localhost:54321
H2O connection proxy:None
H2O internal security:False
H2O API Extensions:XGBoost, Algos, AutoML, Core V3, Core V4
Python version:3.6.0 final
" ], "text/plain": [ "-------------------------- ----------------------------------------\n", "H2O cluster uptime: 5 mins 20 secs\n", "H2O cluster timezone: America/Los_Angeles\n", "H2O data parsing timezone: UTC\n", "H2O cluster version: 3.25.0.99999\n", "H2O cluster version age: 9 minutes\n", "H2O cluster name: navdeepgill\n", "H2O cluster total nodes: 1\n", "H2O cluster free memory: 3.250 Gb\n", "H2O cluster total cores: 8\n", "H2O cluster allowed cores: 8\n", "H2O cluster status: locked, healthy\n", "H2O connection url: http://localhost:54321\n", "H2O connection proxy:\n", "H2O internal security: False\n", "H2O API Extensions: XGBoost, Algos, AutoML, Core V3, Core V4\n", "Python version: 3.6.0 final\n", "-------------------------- ----------------------------------------" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import h2o\n", "import shap\n", "from h2o.estimators.random_forest import H2ORandomForestEstimator\n", "from h2o import H2OFrame\n", "\n", "# initialize H2O\n", "h2o.init()\n", "\n", "# load JS visualization code to notebook\n", "shap.initjs()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Parse progress: |█████████████████████████████████████████████████████████| 100%\n", "Parse progress: |█████████████████████████████████████████████████████████| 100%\n", "drf Model Build progress: |███████████████████████████████████████████████| 100%\n" ] } ], "source": [ "# train a GBM model in H2O\n", "X, y = shap.datasets.boston()\n", "boston_housing = H2OFrame(X).cbind(H2OFrame(y, column_names=[\"medv\"]))\n", "\n", "model = H2ORandomForestEstimator(ntrees=100)\n", "model.train(training_frame=boston_housing, y=\"medv\")" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# calculate SHAP values using function predict_contributions\n", "contributions = model.predict_contributions(boston_housing)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/navdeepgill/Desktop/h2o-3/h2o-py/h2o3-py-env/lib/python3.6/site-packages/ipykernel_launcher.py:2: FutureWarning: Method .as_matrix will be removed in a future version. Use .values instead.\n", " \n" ] } ], "source": [ "# convert the H2O Frame to use with shap's visualization functions\n", "contributions_matrix = contributions.as_data_frame().as_matrix()\n", "# shap values are calculated for all features\n", "shap_values = contributions_matrix[:,0:13]\n", "# expected values is the last returned column\n", "expected_value = contributions_matrix[:,13].min()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "
\n", "
\n", " Visualization omitted, Javascript library not loaded!
\n", " Have you run `initjs()` in this notebook? If this notebook was from another\n", " user you must also trust this notebook (File -> Trust notebook). If you are viewing\n", " this notebook on github the Javascript has been stripped for security. If you are using\n", " JupyterLab this error is because a JupyterLab extension has not yet been written.\n", "
\n", " " ], "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# visualize the first prediction's explanation\n", "shap.force_plot(expected_value, shap_values[0,:], X.iloc[0,:])" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "
\n", "
\n", " Visualization omitted, Javascript library not loaded!
\n", " Have you run `initjs()` in this notebook? If this notebook was from another\n", " user you must also trust this notebook (File -> Trust notebook). If you are viewing\n", " this notebook on github the Javascript has been stripped for security. If you are using\n", " JupyterLab this error is because a JupyterLab extension has not yet been written.\n", "
\n", " " ], "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# visualize the training set predictions\n", "shap.force_plot(expected_value, shap_values, X)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# create a SHAP dependence plot to show the effect of a single feature across the whole dataset\n", "shap.dependence_plot(\"RM\", shap_values, X)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# summarize the effects of all the features\n", "shap.summary_plot(shap_values, X)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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