{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Building confidence on explainability methods\n", "\n", "Local explainability methods are recent, they keep being improved and research is very active in the field. Thus, one needs to be careful when interpreting those methods' outputs. \n", "\n", "Depending on the tasks and data, explainability methods may give different results. The purpose of the metrics presented below is to assess the degree of confidence in these cases. We will answer the following questions: \n", "\n", "- Do different explainability methods give similar explanations on average ? (**Consistency**)\n", "\n", "- Is the explanation similar for similar instances ? (**Local stability**)\n", "\n", "- Do a few features drive the model ? (**Approximation**)\n", "\n", "This short tutorial presents an example of how those 3 metrics could be used on a classification case.\n", "\n", "We used Kaggle's [Titanic](https://www.kaggle.com/c/titanic/data) dataset" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "from category_encoders import OrdinalEncoder\n", "from sklearn.ensemble import ExtraTreesClassifier\n", "from sklearn.model_selection import train_test_split" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Building Supervized Model\n", "\n", "Let's start by loading a dataset and building a model that we will try to explain right after.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Load Titanic data" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from shapash.data.data_loader import data_loading\n", "titanic_df, titanic_dict = data_loading('titanic')\n", "del titanic_df['Name']\n", "y_df=titanic_df['Survived'].to_frame()\n", "X_df=titanic_df[titanic_df.columns.difference(['Survived'])]" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
SurvivedPclassSexAgeSibSpParchFareEmbarkedTitle
PassengerId
10Third classmale22.0107.25SouthamptonMr
21First classfemale38.01071.28CherbourgMrs
31Third classfemale26.0007.92SouthamptonMiss
41First classfemale35.01053.10SouthamptonMrs
50Third classmale35.0008.05SouthamptonMr
\n", "
" ], "text/plain": [ " Survived Pclass Sex Age SibSp Parch Fare \\\n", "PassengerId \n", "1 0 Third class male 22.0 1 0 7.25 \n", "2 1 First class female 38.0 1 0 71.28 \n", "3 1 Third class female 26.0 0 0 7.92 \n", "4 1 First class female 35.0 1 0 53.10 \n", "5 0 Third class male 35.0 0 0 8.05 \n", "\n", " Embarked Title \n", "PassengerId \n", "1 Southampton Mr \n", "2 Cherbourg Mrs \n", "3 Southampton Miss \n", "4 Southampton Mrs \n", "5 Southampton Mr " ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "titanic_df.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Load Titanic data" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "from category_encoders import OrdinalEncoder\n", "\n", "categorical_features = [col for col in X_df.columns if X_df[col].dtype == 'object']\n", "\n", "encoder = OrdinalEncoder(\n", " cols=categorical_features,\n", " handle_unknown='ignore',\n", " return_df=True).fit(X_df)\n", "\n", "X_df=encoder.transform(X_df)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Train / Test Split + model fitting" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "Xtrain, Xtest, ytrain, ytest = train_test_split(X_df, y_df, train_size=0.75, random_state=7)\n", "\n", "# Subsample\n", "Xtrain = Xtrain[:50].reset_index(drop=True)\n", "ytrain = ytrain[:50].reset_index(drop=True)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "clf = ExtraTreesClassifier(n_estimators=200).fit(Xtrain, ytrain)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Select an explainability method\n", "\n", "Now that the model is ready, we need to pick an explainability method. As mentioned earlier, many of them exist, with different theoretical foundation, underlying assumptions, and levels of maturity. Thus, results might differ significantly among methods. Can we trust them?\n", "\n", "The **Consistency metric** compares methods between them and evaluates how close the explanations are from each other: if underlying assumptions lead to similar results, we would be more confident in using those methods. If not, careful consideration should be taken in the interpretation of the explanations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### First, we need to instantiate and compile the Consistency object" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "from shapash.explainer.consistency import Consistency" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING:root:No train set passed. We recommend to pass the x_train parameter in order to avoid errors.\n", " 27%|██▋ | 54/200 [00:00<00:00, 266.79it/s]" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Backend: Shap TreeExplainer\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 200/200 [00:00<00:00, 277.31it/s]\n", " 0%| | 0/8 [00:00" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "cns.consistency_plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For each pair of explainability methods, the metric compares the explanations across the dataset (or a sample if specified) and calculates an average distance between the explainability methods. Two plots are proposed:\n", "\n", "* the first graph shows the aforementioned distances between methods on a 2D plan.\n", " * As we can see here, \"shap\" and \"acv\" are more similar than \"lime\".\n", "\n", "* the second graph serves as a support for the first one: it gives a better sense of what the distances mean (what is 0.73? is it acceptable or not?). To do so, the metric extracts 5 real comparisons from the dataset (examples are represented by their Id in the dataframe) with distances similar to those in the first plot. \n", "\n", "Depending on the selected methods, examples above show how different the contributions could be. Interpreting them must be done carefully." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Two parameters can be chosen in those graphs:\n", "* _selection:_ a sample of the dataset on which to evaluate the metric expressed as a list of indices (by default take the whole dataset if not too big)\n", "\n", "* *max_features*: the number of features displayed in the graph (the most significant ones are selected)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "index = [45, 36, 12, 17, 29]\n", "cns.consistency_plot(selection=index, max_features=5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Using pre-computed contributions\n", "\n", "Instead of providing a dataset with a model, we can also calculate contributions beforehand and use those ones in the metric using the _contributions_ argument. This allows, for example, to use explainability methods that are not supported in Shapash. \n", "\n", "The provided contributions must be given in a dictionary format, where the key is the method name, and the value is a pandas DataFrame with the contributions.\n", "\n", "Let's for example calculate contributions separately:" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "import shap\n", "\n", "treeSHAP = shap.TreeExplainer(clf).shap_values(Xtrain[:50], check_additivity=False)[1]\n", "samplingSHAP = shap.SamplingExplainer(clf.predict_proba, shap.kmeans(Xtrain, 10)).shap_values(Xtrain[:50], check_additivity=False)[1]\n", "kernelSHAP = shap.KernelExplainer(clf.predict_proba, shap.kmeans(Xtrain, 10)).shap_values(Xtrain[:50], check_additivity=False)[1]\n", "\n", "treeSHAP = pd.DataFrame(treeSHAP, columns=Xtrain[:50].columns)\n", "samplingSHAP = pd.DataFrame(samplingSHAP, columns=Xtrain[:50].columns)\n", "kernelSHAP = pd.DataFrame(kernelSHAP, columns=Xtrain[:50].columns)" ] }, { "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" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# The format must be a dictionary where keys are methods names and values are pandas DataFrames: be careful to have dataframes with same shape, index and column names\n", "contributions = {\"tree\\nSHAP\": treeSHAP, \"sampling\\nSHAP\": samplingSHAP, \"kernel\\nSHAP\":kernelSHAP}\n", "\n", "index = [45, 36, 12, 17, 29]\n", "cns = Consistency()\n", "cns.compile(contributions=contributions,\n", " x=Xtrain[:50] #Optionnal, needed to display pairwise_consistency_plot\n", " )\n", "cns.consistency_plot(selection=index, max_features=5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Zooming on each feature : the pairwise consistency plot\n", "\n", "The consistency plot illustrated above displays the *average* distances between multiple explainability methods across all the features. However, one might want to investigate those differences on a feature level. To do so, the plot below is proposed: " ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": "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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cns.pairwise_consistency_plot(methods=[\"tree\\nSHAP\", \"sampling\\nSHAP\"], max_features=5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The plot takes as input two explainability methods and outputs the difference of the contributions for each feature across the dataset (or a sample, by default). Only top features according to the mean of absolute constributions are displayed, ranked from the most important to the least.\n", "\n", "The position on the x-axis shows how different the contributions are in each direction: points centered around 0 indicate little to no difference between the explainability methods, as opposed to points far away.\n", "\n", "The colorbar represents the feature values. Based on that, it is possible to understand if differences between methods have a recurring pattern, helping to identify groups of datapoints with similar contributions. For example, looking at the the *Sex* feature, shap seems to constantly overestimate contributions for males with respect to lime; which is not necessarily the case for the *Pclass* feature." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Evaluate the compacity of the explanations\n", "\n", "What if the model uses tens or hundreds of features? Is it still going to be easy to understand how it works? Probably not. Indeed, the number of features greatly affects explainability\n", "\n", "The **Compacity metric** measures how well each decision can be explained by relying on relatively few features, which may however be different from one instance to another\n", "\n", "The idea is the following: _for each instace, we select the features with the highest contributions and we look at how well they approximate the model. Results are then aggregated across the whole dataset (or a sample of it) and displayed_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### First, we need to instantiate and compile a SmartExplainer" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "from shapash import SmartExplainer" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "response_dict = {0: 'Death', 1:' Survival'}" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "xpl = SmartExplainer(\n", " model=clf, \n", " preprocessing=encoder, \n", " features_dict=titanic_dict, # Optional parameters\n", " label_dict=response_dict # Optional parameters, dicts specify labels \n", ") " ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Backend: Shap TreeExplainer\n" ] } ], "source": [ "xpl.compile(x=Xtrain)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### We can now display the consistency plot:" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "xpl.plot.compacity_plot()" ] }, { "attachments": { "1_aHZoPIyYrNDYc0c-cO2dMg.webp": { "image/webp": "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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "![1_aHZoPIyYrNDYc0c-cO2dMg.webp](attachment:1_aHZoPIyYrNDYc0c-cO2dMg.webp)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We want to measure how well the sum of the most important contributions approximates the global decision of the model. The two graphs show the link between the level of approximation, the number of required features to reach it and the proportion of the dataset on which it works.\n", "\n", "* In the left graph, for example, we can read that top 4 features reach the default approximation for 94% of the instances. Thus, if we needed to provide accurate explanations about the model, a small subset of features will provide a reliable explanation for a vast majority of instances\n", "\n", "* In the right graph, for example, we can read that top 5 features reach 89% of the reference model for 98% of the instances. Thus, if we needed something extremely precise, we would probably need to consider all features in the explanations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Multiple parameters can be modified, such as:\n", "\n", "* *selection*: a sample of the dataset on which to evaluate the metric expressed as a list of indices (by default take the whole dataset if not too big)\n", "\n", "* *approx*: how close we want to be the reference model with all features (default 90%) -- Left graph\n", "\n", "* *nb_features*: how many features are selected to evaluate the approximation (default 5) -- Right graph" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "index = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19]\n", "\n", "xpl.plot.compacity_plot(selection=index, approx=.85, nb_features=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Evaluate the stability of the explanations\n", "\n", "To increase confidence in the explanation, measuring their stability is important.\n", "\n", "We define stability as follows: _if instances are very similar, then one would expect the explanations to be similar as well.\n", "Therefore, locally stable explanations are an important factor that help build trust around a particular explanation._\n", "\n", "The similarity between instances is evaluated under two criteria: (1) the instances must be close in the feature space and (2) have similar model outputs." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### We can now display the stability plot:" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "xpl.plot.stability_plot()" ] }, { "attachments": { "stability_plot.webp": { "image/webp": "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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "![stability_plot.webp](attachment:stability_plot.webp)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The above plot looks at the neighborhood around each provided instance (reminder: neighborhood in terms of features and model output) and shows:\n", "\n", "* the average importance of the feature across the dataset based on its contributions (y-axis)\n", "\n", "* the average variability of the feature across the instances' neighborhood (x-axis)\n", "\n", "Left features are stable in the neighborhood, unlike those on the right. Top features are important, unlike bottom ones\n", "\n", "* Here, features like \"Sex\", \"Title\" and \"Class\" in the left-hand side seem to have strong and relatively stable contributions, so one might be more confident in using them for explanations.\n", "* On the other hand, features like \"Fare\" and \"Port of embarcation\" are much more unstable, and we might want to be careful before interpreting explanations around those features" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Multiple parameters can be modified, such as:\n", "\n", "* *selection*: a sample of the dataset on which to evaluate the metric expressed as a list of indices (by default take the whole dataset if not too big)\n", "\n", "* *max_features*: the number of features displayed in the graph (the most significant ones are selected)\n", "\n", "* *distribution*: changes the type of displayed graph" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Note:** Means are not always representative of the individual behaviors. Thus, we might look at the distribution of variability as well:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "index = [45, 36, 12, 17, 29]\n", "\n", "# Using distribution = \"boxplot\" or \"violin\" displays distributions of variability instead of means\n", "xpl.plot.stability_plot(selection=index, max_features=5, distribution=\"boxplot\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Stability can also be evaluated for a single instance. In that case, contributions are directly compared against neighbors and displayed:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "xpl.plot.local_neighbors_plot(index=13)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see here how difficult it is to interpret contributions sometimes: the feature _Port of embarkation_ gives completely opposite suggestions in the same neighborhood." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "celltoolbar": "Aucun(e)", "hide_input": false, "kernelspec": { "display_name": "shapash_v2", "language": "python", "name": "shapash_v2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.13" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 4 }