{ "cells": [ { "cell_type": "markdown", "id": "d2b79837", "metadata": {}, "source": [ "# Tutorial Shapash Backend\n", "\n", "This tutorial describes how to use the Shapash backend class with different implementations.\n", "It also explains how to construct your own backend and connects it with Shapash.\n", "\n", "Content:\n", "- Build a classifier and an encoder\n", "- Analyze the model with Shapash SmartExplainer (usual way)\n", "- Add specific parameters to Shap explainer\n", "\n", "We used Kaggle's [Titanic](https://www.kaggle.com/c/titanic) dataset and [House Prices](https://www.kaggle.com/c/house-prices-advanced-regression-techniques/data)" ] }, { "cell_type": "code", "execution_count": 1, "id": "c509c83e", "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "\n", "from sklearn.ensemble import RandomForestClassifier, RandomForestRegressor\n", "from category_encoders import OrdinalEncoder, OneHotEncoder, TargetEncoder\n", "from sklearn.model_selection import train_test_split\n", "\n", "from shapash.data.data_loader import data_loading\n", "from shapash import SmartExplainer" ] }, { "cell_type": "code", "execution_count": 2, "id": "d722c63c", "metadata": {}, "outputs": [], "source": [ "titan_df, titan_dict = data_loading('titanic')\n", "titan_df = titan_df.drop(columns='Name')" ] }, { "cell_type": "code", "execution_count": 3, "id": "b90273ea", "metadata": {}, "outputs": [], "source": [ "y = titan_df['Survived']\n", "X = titan_df.drop(columns='Survived')" ] }, { "cell_type": "code", "execution_count": 4, "id": "9d900e95", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "is_categorical is deprecated and will be removed in a future version. Use is_categorical_dtype instead\n" ] } ], "source": [ "# Encode catgorical columns\n", "onehot = OneHotEncoder(cols=['Pclass']).fit(X)\n", "result_1 = onehot.transform(X)\n", "ordinal = OrdinalEncoder(cols=['Embarked','Title']).fit(result_1)\n", "result_2 = ordinal.transform(result_1)\n", "target = TargetEncoder(cols=['Sex']).fit(result_2, y)\n", "result_3 = target.transform(result_2)" ] }, { "cell_type": "code", "execution_count": 5, "id": "18557187", "metadata": {}, "outputs": [], "source": [ "encoder = [onehot, ordinal, target] # Used by Shapash" ] }, { "cell_type": "code", "execution_count": 6, "id": "2d39a654", "metadata": {}, "outputs": [], "source": [ "Xtrain, Xtest, ytrain, ytest = train_test_split(result_3, y, train_size=0.75, random_state=1)" ] }, { "cell_type": "code", "execution_count": 7, "id": "25837a3a", "metadata": {}, "outputs": [], "source": [ "clf = RandomForestClassifier(n_estimators=10, min_samples_leaf=2, random_state=0).fit(Xtrain, ytrain)" ] }, { "cell_type": "markdown", "id": "abaa4584", "metadata": {}, "source": [ "### Default behaviour : shap backend\n", "\n", "Below we use the usual way of compiling Shapash using Shap Explainer backend to compute local contributions." ] }, { "cell_type": "code", "execution_count": 8, "id": "3d557f62", "metadata": {}, "outputs": [], "source": [ "xpl = SmartExplainer(model=clf, preprocessing=encoder, features_dict=titan_dict)" ] }, { "cell_type": "code", "execution_count": 9, "id": "53fcd2e3", "metadata": { "scrolled": false }, "outputs": [], "source": [ "xpl.compile(x=Xtest,\n", " y_target=ytest, # Optional: allows to display True Values vs Predicted Values\n", " )" ] }, { "cell_type": "code", "execution_count": 10, "id": "5ff71750", "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xpl.plot.features_importance()" ] }, { "cell_type": "markdown", "id": "526bdd60", "metadata": {}, "source": [ "### Add specific parameters to the backend \n", "\n", "You can add any parameters to the default Shap explainer using a python dict. \n", "Shapash will automatically pass it to the Shap explainer object as if they were usual args" ] }, { "cell_type": "code", "execution_count": 11, "id": "5c95196a", "metadata": {}, "outputs": [], "source": [ "# This way you can add any argument to the Shap Explainer object \n", "explainer_args = {\"algorithm\": \"tree\"}\n", "\n", "xpl = SmartExplainer(\n", " model=clf, \n", " preprocessing=encoder,\n", " features_dict=titan_dict,\n", " explainer_args=explainer_args\n", ")" ] }, { "cell_type": "code", "execution_count": 12, "id": "87c9ad64", "metadata": {}, "outputs": [], "source": [ "xpl.compile(x=Xtest)" ] }, { "cell_type": "code", "execution_count": 13, "id": "a4afd855", "metadata": {}, "outputs": [ { "data": { "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xpl.plot.features_importance()" ] }, { "cell_type": "markdown", "id": "6d3dcb37", "metadata": {}, "source": [ "### Change the bakckend used to compute local and global contributions\n", "\n", "You can select another backend using the `backend` parameter. " ] }, { "cell_type": "markdown", "id": "c618968f", "metadata": {}, "source": [ "#### First way : using a string\n", "\n", "The first way to select your backend is to indicate it using its string name. \n", "**Existing options are : 'shap' (default) and 'lime'.**\n", "'acv' has been removed from release 2.3.8 because the librairy is not maintained.\n", "\n", "Depending on the backend you select, there may be specific argument to pass. \n", "Please refer to the corresponding documentation for more details. \n", "For example, below we pass the `data` parameter used by Lime to declare the background." ] }, { "cell_type": "code", "execution_count": 14, "id": "8aed54de", "metadata": {}, "outputs": [], "source": [ "xpl = SmartExplainer(\n", " model=clf, \n", " preprocessing=encoder,\n", " backend='lime',\n", " data=Xtrain, # Specific arg used by our backend (here Lime)\n", " features_dict=titan_dict\n", ")" ] }, { "cell_type": "code", "execution_count": 15, "id": "50979865", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|███████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 10/10 [00:00<00:00, 46.65it/s]\n", " 40%|████████████████████████████████████████████████████████████████████████████████ | 4/10 [00:08<00:12, 2.06s/it]\n" ] } ], "source": [ "xpl.compile(x=Xtest.iloc[:20]) # Computations can take some time, we select only 20 observations" ] }, { "cell_type": "code", "execution_count": 16, "id": "24349c65", "metadata": {}, "outputs": [ { "data": { "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xpl.plot.features_importance()" ] }, { "cell_type": "markdown", "id": "99fb836e", "metadata": {}, "source": [ "#### Second way : using the backend class\n", "\n", "Another way is to use the specific backend class and instanciate it before passing it to the `backend` parameter. \n", "Existing backend classes are : `ShapBackend` and `LimeBackend`" ] }, { "cell_type": "code", "execution_count": 17, "id": "ce8967cb", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|███████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 10/10 [00:00<00:00, 42.17it/s]\n" ] } ], "source": [ "from shapash.backend import LimeBackend\n", "\n", "lime_backend = LimeBackend(model=clf, data=Xtrain)\n", "\n", "xpl = SmartExplainer(\n", " model=clf, \n", " preprocessing=encoder,\n", " backend=lime_backend,\n", " features_dict=titan_dict\n", ")" ] }, { "cell_type": "code", "execution_count": 18, "id": "a0db775d", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ " 40%|████████████████████████████████████████████████████████████████████████████████ | 4/10 [00:08<00:12, 2.01s/it]\n" ] } ], "source": [ "xpl.compile(x=Xtest.iloc[:20])" ] }, { "cell_type": "code", "execution_count": 19, "id": "0f87b5c2", "metadata": {}, "outputs": [ { "data": { "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xpl.plot.features_importance()" ] }, { "cell_type": "markdown", "id": "3cb25e2d", "metadata": {}, "source": [ "### Define a custom backend\n", "\n", "Finally can define your own backend inheriting the Shapash base backend class `BaseBackend`.\n", "\n", "Each inherited class must at least define the following method : \n", "- `run_explainer` : this method should implement all computations that require time to execute. The result of this function (`explain_data` which should be a python dict containing at least `contributions` key) will then be used by other methods.\n", "\n", "Below we define our own backend using KernelExplainer implemented by Shap with a regression example using the house prices dataset.\n", "\n", "---\n", "\n", "> Note : this implementation is very flexible and also allows to perform your own computations of local contributions and global feature importance. If you are interested in modifying the way to compute global features importance, for example, you can redefine the `get_global_features_importance` defined in the BaseBackend class. See the code of our implementation of AcvBackend for a complete example." ] }, { "cell_type": "code", "execution_count": 20, "id": "a822ccc1", "metadata": {}, "outputs": [], "source": [ "house_df, house_dict = data_loading('house_prices')" ] }, { "cell_type": "code", "execution_count": 21, "id": "4ea3f5f9", "metadata": {}, "outputs": [], "source": [ "y2 = house_df['SalePrice'].to_frame()\n", "X2 = house_df.drop(columns='SalePrice')" ] }, { "cell_type": "code", "execution_count": 22, "id": "b1f61dd4", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "is_categorical is deprecated and will be removed in a future version. Use is_categorical_dtype instead\n" ] } ], "source": [ "# Encode categorical features \n", "\n", "categorical_features = [col for col in X2.columns if X2[col].dtype == 'object']\n", "\n", "encoder2 = OrdinalEncoder(\n", " cols=categorical_features, \n", " handle_unknown='ignore', \n", " return_df=True\n", ").fit(X2)\n", "\n", "X2 = encoder2.transform(X2)" ] }, { "cell_type": "code", "execution_count": 23, "id": "9d14d759", "metadata": {}, "outputs": [], "source": [ "X2_train, X2_test, y2_train, y2_test = train_test_split(X2, y2, train_size=0.75, random_state=1)" ] }, { "cell_type": "code", "execution_count": 24, "id": "b1a76e7a", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples,), for example using ravel().\n" ] } ], "source": [ "# Train a model\n", "model = RandomForestRegressor().fit(X2_train, y2_train)" ] }, { "cell_type": "code", "execution_count": 25, "id": "d56e8260", "metadata": {}, "outputs": [], "source": [ "import shap\n", "import logging\n", "from shapash.backend import BaseBackend\n", "logging.getLogger('shap').setLevel(logging.WARNING) # Disable info logs\n", "\n", "class CustomShapBackend(BaseBackend):\n", " def __init__(self, model, data, preprocessing):\n", " super(CustomShapBackend, self).__init__(model, preprocessing)\n", " self.explainer = shap.KernelExplainer(model=model.predict, data=data)\n", "\n", " def run_explainer(self, x):\n", " shap_contributions = self.explainer.shap_values(x)\n", " explain_data = dict(contributions=shap_contributions)\n", " return explain_data" ] }, { "cell_type": "code", "execution_count": 26, "id": "f95ed1d1", "metadata": {}, "outputs": [], "source": [ "custom_backend = CustomShapBackend(model=model, data=X2_train.iloc[:20], preprocessing=encoder2)\n", "\n", "xpl = SmartExplainer(\n", " model=model, \n", " preprocessing=encoder2,\n", " backend=custom_backend,\n", " features_dict=house_dict\n", ")" ] }, { "cell_type": "code", "execution_count": 27, "id": "6d414d0f", "metadata": { "scrolled": false }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "b91e8dcf5b04419b9148d64268cb7933", "version_major": 2, "version_minor": 0 }, "text/plain": [ " 0%| | 0/15 [00:00