{ "cells": [ { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "# SVM classifiers\n", "\n", "In this section of the tutorial, we will investigate the use of SVM classifiers in `sklearn`. As for all models in the `sklearn` framework, Support Vector Machines mainly rely on `fit(X, y)` and `predict(X)` methods. Once fitted, support vectors are stored in the `support_vectors_` attribute and their coefficients can be found in `dual_coef_`.\n", "\n", "More information about the use of Support Vector Machines for Classification in `sklearn` can be found at: .\n", "\n", "To begin with, let us import libraries we need and define a function to plot a fitted SVM in 2D." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "from sklearn.svm import SVC\n", "from sklearn.datasets import make_blobs, make_circles\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "def plot_decision(clf, X, y):\n", " # Build a 2D grid and perform classification using clf on this grid\n", " xx, yy = np.meshgrid(np.arange(X[:,0].min() - .5, X[:,0].max() + .5, .01),\n", " np.arange(X[:,1].min() - .5, X[:,1].max() + .5, .01))\n", " zz_dec = clf.decision_function(np.c_[xx.ravel(), yy.ravel()]).reshape(xx.shape)\n", " zz_class = clf.predict(np.c_[xx.ravel(), yy.ravel()]).reshape(xx.shape)\n", " plt.contourf(xx, yy, zz_class, alpha=.2)\n", " plt.contour(xx, yy, zz_dec, color=\"k\", linestyles=\"dashed\", levels=[-1, 1])\n", " # Plot data\n", " plt.scatter(X[:, 0], X[:, 1], c=y, s=40)\n", " # Draw a circle around support vectors\n", " plt.scatter(clf.support_vectors_[:, 0], clf.support_vectors_[:, 1], s=100, facecolors=\"none\")\n", " # Set figure coordinate limits\n", " plt.xlim(X[:,0].min() - .5, X[:,0].max() + .5)\n", " plt.ylim(X[:,1].min() - .5, X[:,1].max() + .5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then, we load some data that are linearly separable." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "X, y = make_blobs(n_samples=50, n_features=2, centers=2, cluster_std=.6, random_state=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can then try to fit a linear SVM on this data and observe what we get:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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TE3YDsJuePYcyZcp0vvjiacLDrResU+CpqpcQomhdMjFrre1Kqeu01qlKKRPw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\nqt9+o+c///D7zJlenw/cpU0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PIQTxSUn8uGQJ8cnJXNusGW2bNLni+sqi8CQxCyGEn7lY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\nEPTuZckAAAAPSURBVEL4GUnMQgjhZ/4fC36Os6Dv7bIAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "clf = SVC(kernel=\"linear\")\n", "clf.fit(X, y)\n", "plot_decision(clf, X, y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As expected, the learned boundary is a straight line and allows perfect separation between classes. Three support vectors are selected.\n", "\n", "Let us now try with a slightly more difficult problem (with more intra-cluster variance)." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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esc48bVmWs3J/6wwogZSS3lOwDq02m7Vrf2DVqsWcPXsKSVLQpEkbHntsHF26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\nFfzQQ8W2noWK69yVK3y5bBlRx44RVLM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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X, y = make_blobs(n_samples=50, n_features=2, centers=2, cluster_std=1., random_state=0)\n", "clf = SVC(kernel=\"linear\")\n", "clf.fit(X, y)\n", "plot_decision(clf, X, y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As can be seen, the problem is no longer linearly separable and more support vectors are kept.\n", "If we now want to assess performance of our classifier, we can have a look at the fraction of correctly classified samples (of course, we should do this on a test set, but we will consider these questions that later in the tutorial):" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of correctly classified instances: 49 out of 50\n" ] } ], "source": [ "y_predicted = clf.predict(X)\n", "print(\"Number of correctly classified instances: %d out of %d\" % (np.sum(y_predicted == y), y.shape[0]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We then turn our focus to a new dataset:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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VW999l5i7KQXo/oULLO/enYiQEMsmZkX8/b3Jn19/5HiVKkXx9Ey5o3dyUmzaNIAuXarg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\nMjqnEJnp3bumwT1eBw2qY4FsLKtNmwp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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X, y = make_circles(n_samples=100, random_state=0, noise=.1, factor=.5)\n", "plt.scatter(X[:, 0], X[:, 1], c=y, s=40, edgecolors=\"none\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For this data, a linear kernel would no longer be a good pick. We then build a RBF kernel Support Vector Classifier and fit it to the data:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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S99dApzMQGLieSpV8CAysybFjB9i6dRnh4TdQKm2pVq0hrVv3wNXVcvHRx9V7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hAAAG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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "clf = SVC(kernel=\"rbf\")\n", "clf.fit(X, y)\n", "plot_decision(clf, X, y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The number of selected support vectors is much larger in this case. We can try to vary parameter $C$ of the SVM and observe its impact on the number of selected support vectors:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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dxsMjLz4+f7B48ZeMG/c9tWu3iHd7t29fp0uXqixYsIMxY/pw69YjDIb86HQh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\nRSeyRzhubpmIiorEwcEh1esTQnzYHBwcURQFiHlhiwWzOYyMGTO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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(15, 5))\n", "for i, C in enumerate([.1, 1., 10.]):\n", " plt.subplot(1, 3, i + 1)\n", " clf = SVC(kernel=\"rbf\", C=C)\n", " clf.fit(X, y)\n", " plot_decision(clf, X, y)\n", " plt.title(\"$C=%.1f$, $n_{SV}=%d$\" % (C, np.sum(clf.n_support_)))" ] } ], "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": "3.4.3" } }, "nbformat": 4, "nbformat_minor": 0 }