{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "import sklearn" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#Support Vector Machines" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Example Dataset 1" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import scipy.io" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "data1 = scipy.io.loadmat('ex6data1.mat')" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeEAAAF6CAYAAAAu6+COAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSZIaMYQlSWrEEJYkqRFDWJKkRv4/5MdLH/1RTooAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 6))\n", "plt.title('Example Dataset 1')\n", "plt.scatter(data1['X'][:, 0][data1['y'][:, 0] == 1], data1['X'][:, 1][data1['y'][:, 0] == 1], c='b', marker='+')\n", "plt.scatter(data1['X'][:, 0][data1['y'][:, 0] == 0], data1['X'][:, 1][data1['y'][:, 0] == 0], c='y', marker='o')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###$C=1$" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from sklearn import svm" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "0.98039215686274506" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "clf = svm.SVC(kernel='linear', C=1).fit(data1['X'], data1['y'].ravel())\n", "clf.score(data1['X'], data1['y'].ravel())" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAF6CAYAAADF3FuNAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAdFg/vohgCL1AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "w = clf.coef_[0]\n", "a = -w[0] / w[1]\n", "xx = np.linspace(0, 5)\n", "yy = a * xx - clf.intercept_[0] / w[1]\n", "\n", "plt.figure(figsize=(8, 6))\n", "plt.title('SVM Decision Boundary with C = 1 (Example Dataset 1)')\n", "plt.scatter(data1['X'][:, 0][data1['y'][:, 0] == 1], data1['X'][:, 1][data1['y'][:, 0] == 1], c='b', marker='+')\n", "plt.scatter(data1['X'][:, 0][data1['y'][:, 0] == 0], data1['X'][:, 1][data1['y'][:, 0] == 0], c='y', marker='o')\n", "plt.plot(xx, yy, 'k-')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###$C=100$" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "1.0" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "clf2 = svm.SVC(kernel='linear', C=100).fit(data1['X'], data1['y'].ravel())\n", "clf2.score(data1['X'], data1['y'].ravel())" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAF6CAYAAADF3FuNAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nERUlEUdERFSURBwREVFREnFERERF/x+VutDhikh32AAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "w = clf2.coef_[0]\n", "a = -w[0] / w[1]\n", "xx = np.linspace(0, 5)\n", "yy = a * xx - clf2.intercept_[0] / w[1]\n", "\n", "plt.figure(figsize=(8, 6))\n", "plt.title('SVM Decision Boundary with C = 100 (Example Dataset 1)')\n", "plt.scatter(data1['X'][:, 0][data1['y'][:, 0] == 1], data1['X'][:, 1][data1['y'][:, 0] == 1], c='b', marker='+')\n", "plt.scatter(data1['X'][:, 0][data1['y'][:, 0] == 0], data1['X'][:, 1][data1['y'][:, 0] == 0], c='y', marker='o')\n", "plt.plot(xx, yy, 'k-')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##SVM with Gaussian Kernels" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true }, "outputs": [], "source": [ "data2 = scipy.io.loadmat('ex6data2.mat')" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeYAAAF6CAYAAADMN/v3AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngiAIQkSIYhYEQRCEiPj/AecOoghKzhCrAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 6))\n", "plt.title('Example Dataset 2')\n", "plt.scatter(data2['X'][:, 0][data2['y'][:, 0] == 1], data2['X'][:, 1][data2['y'][:, 0] == 1], c='b', marker='+')\n", "plt.scatter(data2['X'][:, 0][data2['y'][:, 0] == 0], data2['X'][:, 1][data2['y'][:, 0] == 0], c='y', marker='o')\n", "plt.xlim([0, 1])\n", "plt.ylim([0.4, 1])\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "0.98957126303592124" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "clf3 = svm.SVC(kernel='rbf', C=1, gamma=50).fit(data2['X'], data2['y'].ravel())\n", "clf3.score(data2['X'], data2['y'].ravel())" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeYAAAF6CAYAAADMN/v3AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n+P95SYnTgb7tzgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 6))\n", "plt.title('SVM (Gaussian Kernel) Decision Boundary (Example Dataset 2)')\n", "plt.scatter(data2['X'][:, 0][data2['y'][:, 0] == 1], data2['X'][:, 1][data2['y'][:, 0] == 1], c='b', marker='+')\n", "plt.scatter(data2['X'][:, 0][data2['y'][:, 0] == 0], data2['X'][:, 1][data2['y'][:, 0] == 0], c='y', marker='o')\n", "\n", "xx, yy = np.meshgrid(np.linspace(0, 1, 500), np.linspace(0.4, 1, 500))\n", "\n", "# Plot the decision boundary. For that, we will assign a color to each\n", "# point in the mesh [x_min, m_max]x[y_min, y_max].\n", "Z = clf3.decision_function(np.c_[xx.ravel(), yy.ravel()])\n", "\n", "# Put the result into a color plot\n", "Z = Z.reshape(xx.shape)\n", "plt.contour(xx, yy, Z, cmap=plt.cm.Paired, levels=[0])\n", "\n", "plt.xlim([0, 1])\n", "plt.ylim([0.4, 1])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Example Dataset 3" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": true }, "outputs": [], "source": [ "data3 = scipy.io.loadmat('ex6data3.mat')" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAecAAAF6CAYAAAAj9ZDJAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSAzBGQCAxPx/nmktcuZrl0wAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 6))\n", "plt.title('Example Dataset 3')\n", "plt.scatter(data3['X'][:, 0][data3['y'][:, 0] == 1], data3['X'][:, 1][data3['y'][:, 0] == 1], c='b', marker='+')\n", "plt.scatter(data3['X'][:, 0][data3['y'][:, 0] == 0], data3['X'][:, 1][data3['y'][:, 0] == 0], c='y', marker='o')\n", "plt.xlim([-0.6, 0.3])\n", "plt.ylim([-0.6, 0.6])\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from sklearn.grid_search import GridSearchCV" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "best training score : 0.881516587678\n", "SVC(C=3.0, cache_size=200, class_weight=None, coef0=0.0, degree=3,\n", " gamma=49.999999999999993, kernel='rbf', max_iter=-1, probability=False,\n", " random_state=None, shrinking=True, tol=0.001, verbose=False)\n" ] } ], "source": [ "C_range = np.array([0.01, 0.03, 0.1, 0.3, 1, 3, 10, 30])\n", "delta_range = np.array([0.01, 0.03, 0.1, 0.3, 1, 3, 10, 30])\n", "gamma_range = 1 / (2 *(delta_range ** 2))\n", "params = dict(gamma=gamma_range, C=C_range)\n", "\n", "clf4 = GridSearchCV(svm.SVC(), params, cv=3)\n", "clf4.fit(data3['X'], data3['y'].ravel())\n", "\n", "print 'best training score : %s' % clf4.best_score_\n", "print clf4.best_estimator_" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAecAAAF6CAYAAAAj9ZDJAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYa0WOwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 6))\n", "plt.title('SVM (Gaussian Kernel) Decision Boundary (Example Dataset 3)')\n", "plt.scatter(data3['X'][:, 0][data3['y'][:, 0] == 1], data3['X'][:, 1][data3['y'][:, 0] == 1], c='b', marker='+')\n", "plt.scatter(data3['X'][:, 0][data3['y'][:, 0] == 0], data3['X'][:, 1][data3['y'][:, 0] == 0], c='y', marker='o')\n", "\n", "xx, yy = np.meshgrid(np.linspace(-0.6, 0.3, 500), np.linspace(-0.6, 0.6, 500))\n", "\n", "# Plot the decision boundary. For that, we will assign a color to each\n", "# point in the mesh [x_min, m_max]x[y_min, y_max].\n", "Z = clf4.decision_function(np.c_[xx.ravel(), yy.ravel()])\n", "\n", "# Put the result into a color plot\n", "Z = Z.reshape(xx.shape)\n", "plt.contour(xx, yy, Z, cmap=plt.cm.Paired, levels=[0])\n", "\n", "plt.xlim([-0.6, 0.3])\n", "plt.ylim([-0.6, 0.6])\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.9" } }, "nbformat": 4, "nbformat_minor": 0 }