{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Chapter 11\n", "### This notebook and the figures below are made by Yeseul Lee, under the guidance of Steven Skiena." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import math, random\n", "\n", "from sklearn.linear_model import LogisticRegression\n", "from sklearn import svm\n", "from matplotlib import cm\n", "from mpl_toolkits.mplot3d import Axes3D\n", "\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 11.4" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(-2, 2)" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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tZEIdWejJ1g3rqSg9Crvt5DbPv0rPzOLuZ29xerWOGa2BjnZxecZ9+ueTV/hY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\nqBY6v5fBwPsi8rUxZnuYTQ2WaJb6LQMWGWMsInI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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(5,5))\n", "\n", "np.random.seed(3)\n", "n = 100\n", "msize = 3\n", "\n", "x = np.append(np.random.normal(1,0.2,size=n),np.random.normal(-1,0.2,size=n))\n", "y = np.append(np.random.normal(1,0.2,size=n),np.random.normal(-1,0.2,size=n))\n", "x2 = np.append(np.random.normal(-1,0.2,size=n),np.random.normal(1,0.2,size=n))\n", "y2 = np.append(np.random.normal(1,0.2,size=n),np.random.normal(-1,0.2,size=n))\n", "\n", "plt.plot(x,y,'ro', markersize=msize, label=\"class 1\")\n", "plt.plot(x2,y2,'bo', markersize=msize, label=\"class 2\")\n", "plt.plot([0,0], [-10,10], 'k-', [-10,10], [0,0], 'k-')\n", "\n", "X = np.append(x, x2)\n", "Y = np.append(y, y2)\n", "Z = np.array([[i,j] for i,j in zip(X,Y)])\n", "\n", "######Make a train data to fit\n", "class1 = [0]*len(x)\n", "class2 = [1]*len(x2)\n", "train = np.append(class1, class2)\n", "\n", "reg = LogisticRegression()\n", "reg.fit(Z, train)\n", "label = reg.predict(Z)\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", "h = .001 # step size in the mesh\n", "x_min, x_max = Z[:, 0].min() - .6, Z[:, 0].max() + .6\n", "y_min, y_max = Z[:, 1].min() - .6, Z[:, 1].max() + .6\n", "xx, yy = np.meshgrid(np.arange(x_min, x_max, h), np.arange(y_min, y_max, h))\n", "predict = reg.predict(np.c_[xx.ravel(), yy.ravel()])\n", "\n", "# Put the result into a color plot\n", "predict = predict.reshape(xx.shape)\n", "plt.pcolormesh(xx, yy, predict, cmap=plt.cm.Paired)\n", "\n", "plt.xlabel(\"X\")\n", "plt.ylabel(\"Y\")\n", "plt.legend(loc=\"upper center\")\n", "plt.xlim(-2,2)\n", "plt.ylim(-2,2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 11.8\n", "#### Used reference: http://scikit-learn.org/stable/auto_examples/svm/plot_separating_hyperplane.html" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "text/plain": [ "(-5.5, 5.5, -5.5812908375733725, 5.8402129196296624)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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HNRps2LIF/T/9tMj3HTp0CD988w3uPHgAAvBZv34IWLMGdnZ27+yXmJiI4M2bkfb0KTp2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\nTCkEAAUePBiNPXsOoFOnTrhy5SI+/LAzpkxJwscf+yIh4Ry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M7lHnq0ZNrbOSOoA5EEIc\nAuBQ9CUU/KLfBTAfBUMmRd+TvaeccyAR7SncJxBALhFtlSAiMyEhhA7ADgAzCnvgNZIQYhCAm0QU\nK4TwRA359wtw8QYAEFG/sl4XQrQF0ARAnBBCoGD44LQQwoOIblVjRKN70jk/IoSYgIKPmn2qJZA0\n/gLQqMj3ToWv1WhCCCsUFO5QItoldR4T6wHARwjhDUANwEYIsZmIxkmcq8r4Jp1nIIS4AqAjEaVJ\nncWUhBADAawA8C8iuiN1HlMRQlgC+B2AF4DrAKIAjCKieEmDmZgQYjOAVCKaJXWW6iSE6AVgNhH5\nSJ3FGHjM+9kQatDHrqf4BIAOwKHC6VXrpA5kCkSUD2AqCmbXXACw7Tko3D0AjAHQRwhxpvD3O1Dq\nXOzZcc+bMcZkiHvejDEmQ1y8GWNMhrh4M8aYDHHxZowxGeLizRhjMsTFmzHGZIiLN2OMyRAXb8YY\nk6H/D8TXESQa9Ju+AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(6,6))\n", "\n", "np.random.seed(17)\n", "n = 40\n", "X = np.r_[np.random.randn(n,2) - [2,2], np.random.randn(n,2) + [2,2]]\n", "Y = [0]*n + [1]*n\n", "\n", "#fit the model\n", "svc = svm.SVC(kernel='linear')\n", "svc.fit(X,Y)\n", "\n", "#get the separating hyperplane\n", "w = svc.coef_[0]\n", "a = -w[0] / w[1]\n", "xx = np.linspace(-5,5)\n", "yy = a*xx - (svc.intercept_[0]) / w[1]\n", "\n", "#plot the parallel lines to the separating hyper plane that pass\n", "#through the support vectors\n", "b = svc.support_vectors_[0]\n", "yy_down = a*xx + (b[1]-a*b[0])\n", "b = svc.support_vectors_[-1]\n", "yy_up = a*xx + (b[1]-a*b[0])\n", "\n", "#hyperplane separating line\n", "plt.plot(xx, yy, 'k-')\n", "plt.plot(xx,yy_down, 'k--')\n", "plt.plot(xx,yy_up,'k--')\n", "#points\n", "plt.scatter(X[:,0], X[:,1], c=Y, cmap = plt.get_cmap(\"bwr\"), s=40)\n", "plt.axis('tight')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 11.9 - SVM vs. LR\n", "#### Used reference: http://scikit-learn.org/stable/auto_examples/svm/plot_separating_hyperplane.html" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 1.18937679 0.67388417]]\n", "[[ 7.37749085 6.09364612]]\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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QJpS2utTw4cNFdSmhUNm7dy9evnyJhIQEfPPNNwAAT09PE0eVNyEhITh+/DhIIigoCPPn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\nRmNVAt/+sYqlUu+yfPlqhfrF98or0+nl9aqNZR8+ZkREf3t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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(6,6))\n", "np.random.seed(12)\n", "n = 40\n", "X = np.r_[np.random.randn(n,2) - [2,2], np.random.randn(n,2) + [2,2]]\n", "Y = [0]*n + [1]*n\n", "\n", "#fit the model\n", "svc = svm.SVC(kernel='linear')\n", "svc.fit(X,Y)\n", "\n", "#get the separating hyperplane\n", "w = svc.coef_[0]\n", "a = -w[0] / w[1]\n", "xx = np.linspace(-5,5)\n", "yy = a*xx - (svc.intercept_[0]) / w[1]\n", "\n", "#hyperplane separating line\n", "plt.plot(xx, yy, 'k-',label='SVM')\n", "\n", "#------------------------------------------\n", "#fit the model\n", "lg = LogisticRegression(C=1e5)\n", "lg.fit(X,Y)\n", "\n", "#get the separating line\n", "w = lg.coef_[0]\n", "a = -w[0] / w[1]\n", "xx = np.linspace(-5,5)\n", "yy = a*xx - (lg.intercept_[0]) / w[1]\n", "print svc.coef_\n", "print lg.coef_\n", "\n", "#hyperplane separating line\n", "plt.plot(xx, yy, 'r-', label='Logistic Regression')\n", "\n", "#points\n", "plt.scatter(X[:,0], X[:,1], c=Y, cmap = plt.get_cmap(\"bwr\"), s=40)\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 11.10 Left - Points in 2D" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/yeseul/.local/lib/python2.7/site-packages/ipykernel/__main__.py:7: RuntimeWarning: invalid value encountered in sqrt\n", "/home/yeseul/.local/lib/python2.7/site-packages/ipykernel/__main__.py:8: RuntimeWarning: invalid value encountered in sqrt\n" ] }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(5,5))\n", "\n", "#Points surrounding\n", "n = 30\n", "np.random.seed(13)\n", "x = np.random.normal(0, 0.8,n) + np.random.normal(0,0.1,n)\n", "y = np.sqrt(1-x*x) + np.random.normal(0,0.1,n)\n", "y2 = -np.sqrt(1-x*x) + np.random.normal(0,0.1,n)\n", "x = np.append(x,x)\n", "y = np.append(y,y2)\n", "plt.plot(x,y,'ko')\n", "\n", "#Points inside\n", "xi = np.random.normal(0,0.25, n)\n", "yi = np.random.normal(0,0.2, n)\n", "plt.plot(xi,yi, 'rs')\n", "\n", "plt.xlim(-1.3,1.3)\n", "plt.ylim(-1.3,1.3)\n", "\n", "ax = plt.subplot(111)\n", "ax.spines['top'].set_visible(False)\n", "ax.spines['right'].set_visible(False)\n", "ax.get_xaxis().tick_bottom()\n", "ax.get_yaxis().tick_left()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 11.10 Right - Points in 3D" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(-1.3, 1.3)" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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JZBJ+v9+UuWVKMIPAWS1lIpFAc3MzBgcHHYkoBUFAe3s7zjzzzIo87ieffIJbb70VuVwO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\nRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(6,6))\n", "ax = fig.add_subplot(111, projection='3d')\n", "ax.scatter(x,y, x*x + y*y, s=20, c='k', marker='o', depthshade=False)\n", "ax.scatter(xi, yi, xi*xi + yi*yi, s=20, c='r', marker='s', depthshade=False)\n", "\n", "ax.set_zlim(0, 1)\n", "ax.set_xlim(-1.3, 1.3)\n", "ax.set_ylim(-1.3, 1.3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 11.14 Left - Logistic function" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(-0.1, 1.1)" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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JBnpbYIyZnZNqXLy4uPjr54lEgkQiUf+qRdKwrQs/+GC4+OKoqxFJX0lJCSUlJWmdm86F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\nAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(-10,10,500)\n", "y = 1/(1+np.exp(-x))\n", "plt.plot(x,y, 'b-', linewidth=1.5)\n", "plt.xlim(-7.5,7.5)\n", "plt.ylim(-0.1,1.1)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 11.14 Right " ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(-0.5, 3)" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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4nVYL6G2mpqbeOm40GjQajVGsTxoLM1n773/frL3m1mw2aTabi35fET38lcBUZq5uP98K\nZGZun2P8ScCxzDyjy2v28FVrW7bAjh2tx+bNZa9Gk2KUPfxp4P0RsSwiTgXW0zqj71zMko6n64Bn\nCphXqpSdO1uFftMmuP76slejKhq4pZOZb0bEtcB3aP0CuS0zn42ILwLTmXk/cF1EfBo4DhwDrh50\nXqlK9u2Dz34WrrgCbrrJG6s0HN54JZVsehoaDVi+3H3t1R/vtJUmgFl7FcH98KUxZ9Zeo+aN2lIJ\n3NdeZbDgSyPmvvYqiy0dacRm9rXfscN97TVaXrSVRsh97TUMpnSkMeO+9hoWC740Rszaa5gs+NKY\nMGuvYTOHL40Bs/YaJ3YRpSExa69xY8GXhsCsvcaRLR1pCMzaaxx50VYq2K23tnL2Zu01KqZ0pBLM\nZO3XroV77jFrr9Gw4EsjZtZeZbHgSyNk1l5lMocvjYhZe00KO4zSAMzaa5JY8KU+mbXXpLGlI/Vp\nJmu/fbtZe00GL9pKfXBfe40TUzrSkLivvcbNSFM6EbE6Ig5FxHMRsaXL66dGxO6IOBwRj0XEe4uY\nVxq16WlYvx5WrIBduyz2miwDF/yIOAm4Gfh14Hzg30XE7KzC7wLHMvMDwB8DOwadVxq1I0fg8svh\nrLPg/vu9sUqTp4gz/IuBw5n5YmYeB3YD62aNWQfc3j6+C/hkAfNKI2PWXlVQxP+QLgVe6nj+I1q/\nBLqOycw3I+LViHh3Zh6b/WGNRgErkgp04gQ8/TT8/d+3tkwwa69JVVYHcs6LCy+8MPXW8RlnNDjj\njMYIliPNLaK1ZcLHPmbWXuOh2WzSbDYX/b6BUzoRsRKYyszV7edbgczM7R1jHmiP2R8RJwM/zcyz\nunyWKR1JWqRRpnSmgfdHxLKIOBVYD+ydNWYfsKF9/JvAwwXMK0lahIFbOu2e/LXAd2j9ArktM5+N\niC8C05l5P3Ab8CcRcRh4hdYvBUnSCHnjlSRNOLdHliT9Egu+JNWEBV+SasKCL0k1YcGXpJqw4EtS\nTVjwJakmLPiSVBMWfEmqCQu+JNWEBV+SasKCL0k1YcGXpJqw4EtSTVjwJakmLPiSVBMWfEmqCQu+\nJNWEBV+SasKCL0k1YcGXpJqw4EtSTQxU8CPin0TEdyLibyLiLyPiXXOMezMinoyIpyLi3kHmlCT1\nZ9Az/K3AQ5l5LvAwcOMc436emSsy88LMvHLAOSdWs9ksewlD5febbFX+flX+bosxaMFfB9zePr4d\nmKuYx4DzVELV/6Pz+022Kn+/Kn+3xRi04J+VmUcBMvNl4Kw5xp0WEX8VET+IiHUDzilJ6sMp8w2I\niAeBszt/BCTwhS7Dc46PWZaZP42IfwY8HBFPZ+aRRa9WktS3yJyrRi/gzRHPAo3MPBoRS4BHMvO8\ned7zTWBfZt7d5bX+FyNJNZaZ87bO5z3Dn8de4GpgO7ABuG/2gIg4A3g9M/9vRJwJfKw9/m0WsmBJ\nUn8GPcN/N3An8GvAi8BVmflqRFwE/H5m/l5EfBT478CbtK4Z/LfM/B8Dr1yStCgDFXxJ0uQYuztt\nI+I/R8Rft2/S+ov2tYHKiIgdEfFsRByIiD+LiF8te01Fioh/GxH/q32z3Yqy11OEiFgdEYci4rmI\n2FL2eooWEbdFxNGIeLrstRQtIs6JiIcj4ocRcTAirit7TUWKiNMiYn+7Xh6MiG09x4/bGX5EvDMz\nX2sffxZYnpkbS15WYSLiXwMPZ+aJiPgSkJk51w1rEycizgVO0GrjXZ+ZT5a8pIFExEnAc8AngZ8A\n08D6zDxU6sIKFBGXAq8B38rMD5e9niK1TxiXZOaBiHgn8ASwrmJ/fu/IzNcj4mTgfwLXZeZfdRs7\ndmf4M8W+7XRaxaMyMvOhzJz5To8D55S5nqJl5t9k5mGqc7PdxcDhzHwxM48Du2ndcFgZmfko8LOy\n1zEMmflyZh5oH78GPAssLXdVxcrM19uHp9EK4sx5Fj92BR8gIv5LRPxv4N8D/6ns9QzR7wAPlL0I\n9bQUeKnj+Y+oWMGoi4h4H3ABsL/clRQrIk6KiKeAl4EHM3N6rrGlFPyIeDAinu54HGz/8wqAzPxC\nZr4X+FPgs2WscRDzfb/2mP8IHM/MO0pcal8W8v2kcdJu59wFfG5WF2HiZeaJzLyQVrfgIxGxfK6x\ng+bw+5KZn1rg0DuAbwNTw1tN8eb7fhFxNbAW+FcjWVDBFvHnVwU/Bt7b8fyc9s80ISLiFFrF/k8y\n8233ClVFZv5dRDwCrAae6TZm7Fo6EfH+jqdX0uq5VUZErAY2A5/OzF+UvZ4hq0Iffxp4f0Qsi4hT\ngfW0bjismqAaf17dfAN4JjNvKnshRYuIM2e2pY+IXwE+Bcx5QXocUzp3AR+kdbH2ReAPMvOn5a6q\nOBFxGDgVeKX9o8czc1OJSypURFwJfBU4E3gVOJCZa8pd1WDav6RvonWCdFtmfqnkJRUqIu4AGsB7\ngKPAtsz8ZqmLKkhEXAJ8DzhI62JmAp/PzL8odWEFiYh/QWun4pPajz2Z+V/nHD9uBV+SNBxj19KR\nJA2HBV+SasKCL0k1YcGXpJqw4EtSTVjwJakmLPiSVBMWfEmqif8H+1CC36XWm1MAAAAASUVORK5C\nYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(0,10,100)\n", "y = x\n", "\n", "x1 = np.linspace(-10,0,100)\n", "y1 = 0*x\n", "\n", "plt.plot(x, y, 'b-', linewidth=1.5)\n", "plt.plot(x1, y1, 'b-', linewidth=1.5)\n", "plt.xlim(-3,3)\n", "plt.ylim(-0.5, 3) " ] } ], "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": "2.7.12" } }, "nbformat": 4, "nbformat_minor": 0 }