{ "cells": [ { "cell_type": "markdown", "metadata": { "id": "view-in-github" }, "source": [ "\"Open" ] }, { "cell_type": "markdown", "source": [ "One of the best ways to improve skills of machine learning models is to combine multiple machine learning models. Since each model in the ensemble will make slightly different predictions, the models could be more robust and generalizable to unseen data. We can also characterize the uncertainty of ML predictions with an ensemble approach.\n", "\n", "Here we will create multiple individual classifiers on the MNIST data, a dataset with hand-written digit images, and perform skill evaluation. The skills of individual models will be compared with skills of ensemble models." ], "metadata": { "id": "-5uehqDJGlm7" } }, { "cell_type": "markdown", "metadata": { "id": "TsKRi0KZGlF5" }, "source": [ "# Exercise 3: Comparing (Ensemble of) Classifiers on MNIST Data" ] }, { "cell_type": "markdown", "source": [ "![MNIST_Examples.png](data:image/png;base64,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)" ], "metadata": { "id": "Iu7YEO51_ieg" } }, { "cell_type": "markdown", "source": [ "The goal is to train and compare individual classifiers on [MNIST data](https://en.wikipedia.org/wiki/MNIST_database), before combining them into an ensemble model. Will the power of teamwork shine through? 🔢" ], "metadata": { "id": "Cc_giO4--x6A" } }, { "cell_type": "markdown", "source": [ "Let's start by loading the [MNIST database](https://en.wikipedia.org/wiki/MNIST_database)!" ], "metadata": { "id": "NaNNfeQ5AguD" } }, { "cell_type": "code", "source": [ "from sklearn.datasets import fetch_openml\n", "import numpy as np" ], "metadata": { "id": "LG202nlSAdEt" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "# Setting `as_frame` to False to avoid loading mnist as Pandas dataframe\n", "mnist = fetch_openml('mnist_784', version=1, as_frame=False)\n", "# Making sure we are working with 8-bit unsigned integers as targets\n", "mnist.target = mnist.target.astype(np.uint8)" ], "metadata": { "id": "kQ7n6SQuAvc-" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "# Here we are creating our dataset to train our ML model\n", "# X contains the digit pictures, and y contains the label corresponding to each picture\n", "X = mnist['data'] # Read digit pictures\n", "y = mnist['target'].astype(np.uint8) # Read labels\n", "X.shape" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "yWk-uMX8B7r8", "outputId": "51bf26f8-a714-430c-9e58-ffcb84cd5e24" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "(70000, 784)" ] }, "metadata": {}, "execution_count": 4 } ] }, { "cell_type": "markdown", "source": [ "**Q1) Split the MNIST dataset into a training, a validation, and a test sets**\n", "\n", "Hint 1: The documentation for `scikit-learn`'s `train_test_split` function is [at this link](https://scikit-learn.org/stable/modules/generated/sklearn.model_selection.train_test_split.html).\n", "\n", "Hint 2: You may use 50k instances for training, 10k instances for validation, and 10k instances for testing." ], "metadata": { "id": "mjQ53EhUCRRy" } }, { "cell_type": "code", "source": [ "# Import the necessary functions and utilities\n", "# You will need train_test_split() that we used in previous notebooks\n", "#from sklearn._____________ import ____________________\n", "from sklearn.model_selection import train_test_split" ], "metadata": { "id": "ghURb2XNC1RI" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "# Split the MNIST data into training, validation, and test\n", "# set data to be used for training and testing/validation\n", "# train_test_split only allows two-way splits. To get our training, validation, and test set, we will need to call train_test_split() 2 times\n", "#############################################################################################################################################\n", "# 1. Split the data into training set and validation-test set. Set the size of the training set to be 50000\n", "#############################################################################################################################################\n", "________,_______,__________,__________ = train_test_split(__,__, __________=50000)\n", "\n", "#############################################################################################################################################\n", "# 2. Split the validation-test set into validation set and test set. Set the size of the test set to be 10000\n", "#############################################################################################################################################\n", "________,_______,__________,__________ = train_test_split(__,__, __________=10000)\n", "\n", "#############################################################################################################################################\n", "# 3. Print the shape of your training, validation, and test data. You should see (50000,784) [training], (10000,784) [validation], (10000,784) [test]\n", "#############################################################################################################################################\n", "print(____________________)" ], "metadata": { "id": "8vcomcH2C6kI" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "**Q2) Train various classifiers on the training set and compare them on the validation set**\n", "\n", "Hint: You may compare a [`RandomForestClassifier`](https://scikit-learn.org/stable/modules/generated/sklearn.ensemble.RandomForestClassifier.html), an [`ExtraTreesClassifier`](https://scikit-learn.org/stable/modules/generated/sklearn.ensemble.ExtraTreesClassifier.html), and a [`SVC`](https://scikit-learn.org/stable/modules/generated/sklearn.svm.SVC.html), but we encourage you to be creative and include additional classifiers you find promising! The more the merrier 😀\n", "\n", "Note from TA: The SVC can be slow to train. Test RandomForest and ExtraTrees first for quick results." ], "metadata": { "id": "JAY0mlBsFobL" } }, { "cell_type": "code", "source": [ "# Import all the classifiers you need\n", "from sklearn._________ import RandomForestClassifier\n", "from sklearn._________ import ExtraTreesClassifier\n", "from sklearn._____ import SVC" ], "metadata": { "id": "OgJaMxU9Gtmy" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "# Initiate Classifiers\n", "rfc = ___________________ # RandomForestClassifier\n", "etc = ___________________ # ExtraTreesClassifier\n", "\n", "# Fit Classifiers on training data\n", "rfc.___(_________,________) # RandomForestClassifier\n", "etc.___(_________,________) # ExtraTreesClassifier" ], "metadata": { "id": "wjCaCtDiGv1A" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "# Import accuracy_score module from sklearn\n", "from sklearn._______ import accuracy_score" ], "metadata": { "id": "hD03asiWHLHY" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "# Use the trained classifiers to make predictions on the validation set\n", "rfc_preds = rfc._______(____)\n", "etc_preds = etc._______(____)\n", "\n", "# Use accuracy_score() to see if our models can successfully classify the validation data.\n", "# We got around 96-97% accuracy. Did your models perform well on the validation data as well?\n", "rfc_acc = accuracy_score(______,_______)\n", "etc_acc = accuracy_score(______,_______)\n", "print(rfc_acc)\n", "print(etc_acc)" ], "metadata": { "id": "q5aOFZcyGzdR" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "Now it's time to make the individual classifiers vote to form an *ensemble* model" ], "metadata": { "id": "eCksbNtVHORZ" } }, { "cell_type": "markdown", "source": [ "**Q3) Combine the classifiers into an ensemble that outperforms them all on the validation set, using a soft or hard voting classifier.**\n", "\n", "Hint: The documentation for `scikit-learn`'s [`VotingClassifier`](https://scikit-learn.org/stable/modules/generated/sklearn.ensemble.VotingClassifier.html) class can be found [at this link](https://scikit-learn.org/stable/modules/generated/sklearn.ensemble.VotingClassifier.html). Note that its argument `voting` can be changed from `hard` to `soft`." ], "metadata": { "id": "FhffZUkUIXxU" } }, { "cell_type": "code", "source": [ "# Import VotingClassifier module from sklearn\n", "from sklearn.__________ import VotingClassifier" ], "metadata": { "id": "wHSz59irJvmj" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "# Define your voting classifier here\n", "vc_hard = VotingClassifier(________=[(____,_______), (___,_____)]) # Hard Voting\n", "vc_soft = VotingClassifier(________=[(____,_______), (___,_____)], ____=____) # Soft Voting" ], "metadata": { "id": "CtFMbHkDJyvG" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "# Train the two voting classifiers\n", "vc_soft.____(________, _________) # Hard voting\n", "vc_hard.____(________, _________) # Soft voting\n", "\n", "# Evaluate classifier performance on validation set. The evaluation will be based on accuracy_score(), similar to previous notebooks.\n", "vc_soft_preds = vc_soft._________(_____)\n", "vc_hard_preds = vc_hard._________(_____)\n", "\n", "# Calculate your accuracy scores here.\n", "vc_soft_acc = ____________(______, ____________)\n", "vc_hard_acc = ____________(____, _____________)\n" ], "metadata": { "id": "6KP32aHdJ4oy" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "# How well did our voting classifier perform on the validation data\n", "# Which of the two was better?" ], "metadata": { "id": "n_ZnWI0GWlGC" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "# Compare the accuracy values for the voting classifiers to the accuracy of individual classifiers" ], "metadata": { "id": "RbfEORxFXHTJ" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "Hint: If your ensemble does significantly worse than individual classifiers, consider deleting the individual classifiers negatively affecting the performance of your ensemble using `del Voting_Classifier.estimators_[index_of_model_to_delete]`, where the `estimators_` attribute of your `Voting_Classifier`'s lists the individual classifiers that were trained as part of the ensemble." ], "metadata": { "id": "66eirCsCXToh" } }, { "cell_type": "markdown", "source": [ "**Q4) Does your ensemble clearly outperform your individual classifiers on the test set**" ], "metadata": { "id": "xWxq93F7W-4O" } }, { "cell_type": "code", "source": [ "# Use the classifiers to make classification on the test set\n", "################################################################################\n", "# Individual Classifier predictions\n", "################################################################################\n", "rfc_preds_test = rfc._______(______)\n", "etc_preds_test = etc._______(______)\n", "################################################################################\n", "# Voting Classifier predictions\n", "################################################################################\n", "vc_soft_preds_test = vc_soft._______(______)\n", "vc_hard_preds_test = vc_hard._______(______)\n", "################################################################################\n", "# Compare accuracy scores\n", "################################################################################\n", "vc_soft_acc_test = ______________(______________, ______________)\n", "vc_hard_acc_test = ______________(______________, ______________)\n", "rfc_acc_test = ______________(______________, ______________)\n", "etc_acc_test = ______________(______________, ______________)" ], "metadata": { "id": "wHzcCAtbXqk0" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "# Does it clearly beat the best individual classifier?\n", "print(\"VC soft:\", vc_soft_acc_test)\n", "print(\"VC hard:\", vc_hard_acc_test)\n", "print(\"RandomForest: \", rfc_acc_test)\n", "print(\"ExtraTrees: \", etc_acc_test)" ], "metadata": { "id": "EbtS-G0-ZB7b" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "metadata": { "id": "CurHgNWIGlF7" }, "source": [ "Your voting classifier may only slightly beat the best model. Maybe voting isn't the best way to get the best prediction!\n", "\n", "Let's try the brute-force approach: Training a classifier on the individual model's predictions to beat the voting approach." ] }, { "cell_type": "markdown", "metadata": { "id": "dZR3e-4pGlF-" }, "source": [ "## Bonus Exercise 3: From Individual Classifiers to Ensemble Stacking via Blenders" ] }, { "cell_type": "markdown", "source": [ "![Blender.jpg](data:image/jpeg;base64,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)" ], "metadata": { "id": "gPikwjQUbA5k" } }, { "cell_type": "markdown", "source": [ "Let's learn how to best blend the individual classifiers' predictions!" ], "metadata": { "id": "S9gdO_Ydbcex" } }, { "cell_type": "markdown", "source": [ "**Q1) Run the individual classifiers from the previous exercise to make predictions on the validation set, and create a new training set with the resulting predictions**\n", "\n", "Hint: The target stays the same, but now each training instance is a vector containing the set of predictions from all your individual classifiers. You may group all these vectors into a feature array `X_val_predictions` that should have the [shape](https://numpy.org/doc/stable/reference/generated/numpy.ndarray.shape.html): `(Number_of_validation_instances,Number_of_individual_classifiers)`.\n", "\n", "" ], "metadata": { "id": "zCWZUzRBbxwa" } }, { "cell_type": "code", "source": [ "# Create the new training set" ], "metadata": { "id": "lV1OOCt6cnXn" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "# Make sure it has the right shape and contains sensical values" ], "metadata": { "id": "vVsgD6Plcyi7" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "**Q2) Train a classifier on this new training set**\n", "\n", "Hint 1: You may train a [`RandomForestClassifier`](https://scikit-learn.org/stable/modules/generated/sklearn.ensemble.RandomForestClassifier.html).\n", "\n", "Hint 2: You could fine-tune this blender or try other types of blenders (e.g., a [`LogisticRegression`](https://scikit-learn.org/stable/modules/generated/sklearn.linear_model.LogisticRegression.html) or an [`MLPClassifier`](https://scikit-learn.org/stable/modules/generated/sklearn.neural_network.MLPClassifier.html)), then select the best one using cross-validation." ], "metadata": { "id": "Qy2VhbS8c69B" } }, { "cell_type": "code", "source": [ "# Fit the classifier to the new training set" ], "metadata": { "id": "y-GKK3Jrdd5r" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "# Calculate its mean accuracy" ], "metadata": { "id": "Ft17SfYVdkuz" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "# (Optional) Try other classifiers on this new training set\n", "# if you're not satisfied with the new accuracy" ], "metadata": { "id": "oPB71Yw6d_SA" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "Congratulations! 😃\n", "\n", "You have just trained a blender, and together with classifiers they form a [stacking ensemble](https://en.wikipedia.org/wiki/Ensemble_learning#Stacking). Now let's evaluate the ensemble on the test set." ], "metadata": { "id": "fqG4T-TxeGkx" } }, { "cell_type": "markdown", "source": [ "**Q3) Evaluate the blender on the test set and compare it to the voting classifier you trained earlier**\n", "\n", "Hint 1: You will have to first calculate the predictions of your individual classifiers on the test set, similar to what you did in [Question 1](#Q1).\n", "\n", "Hint 2: Make sure you use the same score (e.g., the [`accuracy_score`](https://scikit-learn.org/stable/modules/generated/sklearn.metrics.accuracy_score.html)) to compare both ensemble models." ], "metadata": { "id": "sreASWk6e6eK" } }, { "cell_type": "code", "source": [ "# Calculate the predictions of your individual classifiers on the test set\n", "# and format them so you can feed them to your blender" ], "metadata": { "id": "sWMlCBF9f-uq" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "# Calculate the mean accuracy of the blender on the test set" ], "metadata": { "id": "OmeOsTRygItI" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "# Compare it to the mean accuracy of individual models and the voting classifier" ], "metadata": { "id": "Q_opfKJkgLxS" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "Is the blender worth the effort?" ], "metadata": { "id": "1EepvRHzGlF_" } } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.7.10" }, "nav_menu": { "height": "252px", "width": "333px" }, "toc": { "navigate_menu": true, "number_sections": true, "sideBar": true, "threshold": 6, "toc_cell": false, "toc_section_display": "block", "toc_window_display": false }, "colab": { "provenance": [] } }, "nbformat": 4, "nbformat_minor": 0 }