{ "cells": [ { "cell_type": "code", "execution_count": 201, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from matplotlib.colors import ListedColormap\n", "from sklearn import svm\n", "from sklearn.datasets import make_blobs, make_classification, make_moons, make_circles\n", "from sklearn.metrics import accuracy_score\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "import seaborn as sns\n", "sns.set(color_codes=True)\n", "sns.set_style('whitegrid')\n", "sns.set_context('paper',font_scale=2)\n", "%config InlineBackend.print_figure_kwargs = {'bbox_inches':None}\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Some simple thought experiments\n", "\n", "Consider a situation where you are trying to learn a system that can label if an individual will commit a crime (label = `yes` or +1) or not commit a crime (label=`no` or -1), if granted bail. For simplicity, let us assume that we are only using two features as inputs, `num_past_offenses` (denoted as $x_1$) and `age` (denoted as $x_2$).\n", "\n", "Let us first look at **all** of the data. Of course, this is all made up." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "X = np.vstack([np.random.uniform(-1,1,500),np.random.uniform(-1,1,500)]).T" ] }, { "cell_type": "code", "execution_count": 111, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# let us assume this is all the data\n", "plt.scatter(X[:, 0], X[:, 1])\n", "plt.xlabel('$x_1$')\n", "plt.ylabel('$x_2$')\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we add the label (+1 or -1). Let us assume that the true hypothesis (or the decision boundary) is a line with the following equation:\n", "\n", "$$\n", "w_0 + w_1x_1 + w_2x_2 = 0\n", "$$\n", "\n", "where $w_0 = 0, w_1 = 1, w_2 = 1$. Thus, the decision boundary becomes:\n", "\n", "$$\n", "x_1 + x_2 = 0\n", "$$\n", "\n", "Now of course, to draw the line, I will have to express it in the $y = mx + c$ format:\n", "\n", "$$\n", "x_2 = -x_1\n", "$$\n" ] }, { "cell_type": "code", "execution_count": 112, "metadata": {}, "outputs": [], "source": [ "# get the labels\n", "X_i = np.hstack([np.ones((X.shape[0],1)),X])\n", "w = np.array([[0],[1],[1]])\n", "y = np.array((np.dot(X_i,w) > 0),dtype='int')\n", "y[y == 0] = -1" ] }, { "cell_type": "code", "execution_count": 113, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# let us assume this is all the data\n", "plt.scatter(X[:, 0], X[:, 1],c=y.flatten(), s=24, cmap='jet')\n", "plt.xlabel('$x_1$')\n", "plt.ylabel('$x_2$')\n", "plt.plot(np.linspace(-1,1,10), -np.linspace(-1,1,10), '-k')\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Training phase\n", "During training, we are given a sample of the data" ] }, { "cell_type": "code", "execution_count": 116, "metadata": {}, "outputs": [], "source": [ "traininds = np.random.permutation(X.shape[0])[0:100]\n", "Xtrain = X[traininds,:]\n", "ytrain = y[traininds,:]" ] }, { "cell_type": "code", "execution_count": 117, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 117, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.scatter(Xtrain[:, 0], Xtrain[:, 1],c=ytrain.flatten(), cmap='jet')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### which line to choose?" ] }, { "cell_type": "code", "execution_count": 126, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 3, figsize=(12, 4))\n", "ax[0].scatter(Xtrain[:, 0], Xtrain[:, 1],c=ytrain.flatten(), cmap='jet')\n", "ax[0].set_xticks([])\n", "ax[0].set_yticks([])\n", "ax[0].text(0,-1.2,'(a)')\n", "ax[0].plot(np.linspace(-1,1,10), -1.3*np.linspace(-1,1,10)+0.1, '-k')\n", "ax[0].set_ylim([-1,1])\n", "\n", "ax[1].scatter(Xtrain[:, 0], Xtrain[:, 1],c=ytrain.flatten(), cmap='jet')\n", "ax[1].set_xticks([])\n", "ax[1].set_yticks([])\n", "ax[1].text(0,-1.2,'(b)')\n", "ax[1].plot(np.linspace(-1,1,10), -np.linspace(-1,1,10)+0.5, '-k')\n", "ax[1].set_ylim([-1,1])\n", "\n", "\n", "ax[2].scatter(Xtrain[:, 0], Xtrain[:, 1],c=ytrain.flatten(), cmap='jet')\n", "ax[2].set_xticks([])\n", "ax[2].set_yticks([])\n", "ax[2].text(0,-1.2,'(c)')\n", "ax[2].plot(np.linspace(-1,1,10), -0.7*np.linspace(-1,1,10)-0.3, '-k')\n", "ax[2].set_ylim([-1,1])\n", "\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### How about this?\n", "\n", "Let us assume that the training data is not *uniformly sampled*" ] }, { "cell_type": "code", "execution_count": 154, "metadata": {}, "outputs": [], "source": [ "# get the labels\n", "X_i = np.hstack([np.ones((X.shape[0],1)),X])\n", "z_hat = np.abs(np.dot(X_i,w))\n", "sel_inds = np.where(z_hat > 0.3)[0]\n", "X1 = X[sel_inds,:]\n", "y1 = y[sel_inds]\n", "\n", "traininds = np.random.permutation(X1.shape[0])[0:100]\n", "Xtrain1 = X1[traininds,:]\n", "ytrain = y1[traininds,:]" ] }, { "cell_type": "code", "execution_count": 156, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "alphaval=0.0\n", "fig, ax = plt.subplots(1, 3, figsize=(12, 4))\n", "ax[0].scatter(Xtrain1[:, 0], Xtrain1[:, 1],c=ytrain1.flatten(), cmap='jet')\n", "ax[0].scatter(X[:,0],X[:,1],alpha=alphaval,c='k')\n", "ax[0].set_xticks([])\n", "ax[0].set_yticks([])\n", "ax[0].text(0,-1.2,'(a)')\n", "ax[0].plot(np.linspace(-1,1,10), -np.linspace(-1,1,10), '-k')\n", "ax[0].set_ylim([-1,1])\n", "\n", "ax[1].scatter(Xtrain1[:, 0], Xtrain1[:, 1],c=ytrain1.flatten(), cmap='jet')\n", "ax[1].scatter(X[:,0],X[:,1],alpha=alphaval,c='k')\n", "ax[1].set_xticks([])\n", "ax[1].set_yticks([])\n", "ax[1].text(0,-1.2,'(b)')\n", "ax[1].plot(np.linspace(-1,1,10), -np.linspace(-1,1,10)-0.28, '-k')\n", "ax[1].set_ylim([-1,1])\n", "\n", "\n", "ax[2].scatter(Xtrain1[:, 0], Xtrain1[:, 1],c=ytrain1.flatten(), cmap='jet')\n", "ax[2].scatter(X[:,0],X[:,1],alpha=alphaval,c='k')\n", "ax[2].set_xticks([])\n", "ax[2].set_yticks([])\n", "ax[2].text(0,-1.2,'(c)')\n", "ax[2].plot(np.linspace(-1,1,10), -np.linspace(-1,1,10)+0.28, '-k')\n", "ax[2].set_ylim([-1,1])\n", "\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Support Vector Machines" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Separable case" ] }, { "cell_type": "code", "execution_count": 340, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#checking margins\n", "from sklearn.datasets.samples_generator import make_blobs\n", "X, y = make_blobs(n_samples=50, centers=2,\n", " random_state=0, cluster_std=0.60)\n", "y[y==0] = -1\n", "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='jet');" ] }, { "cell_type": "code", "execution_count": 349, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# fit the model\n", "clf = svm.SVC(kernel='linear', C=10)\n", "clf.fit(X, y)\n", "\n", "plt.scatter(X[:, 0], X[:, 1], c=y, s=30, cmap='jet')\n", "\n", "# plot the decision function\n", "ax = plt.gca()\n", "xlim = ax.get_xlim()\n", "ylim = ax.get_ylim()\n", "\n", "# create grid to evaluate model\n", "xx = np.linspace(xlim[0], xlim[1], 30)\n", "yy = np.linspace(ylim[0], ylim[1], 30)\n", "YY, XX = np.meshgrid(yy, xx)\n", "xy = np.vstack([XX.ravel(), YY.ravel()]).T\n", "Z = clf.decision_function(xy).reshape(XX.shape)\n", "\n", "# plot decision boundary and margins\n", "ax.contour(XX, YY, Z, colors='k', levels=[-1, 0, 1], alpha=0.5,\n", " linestyles=['--', '-', '--'])\n", "# plot support vectors\n", "ax.scatter(clf.support_vectors_[:, 0], clf.support_vectors_[:, 1], s=100,\n", " linewidth=1, facecolors='none', edgecolors='k')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 343, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[-0.2672062, -0.7327938, 1. ]])" ] }, "execution_count": 343, "metadata": {}, "output_type": "execute_result" } ], "source": [ "clf.dual_coef_" ] }, { "cell_type": "code", "execution_count": 344, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[0.44359863, 3.11530945],\n", " [2.33812285, 3.43116792],\n", " [2.06156753, 1.96918596]])" ] }, "execution_count": 344, "metadata": {}, "output_type": "execute_result" } ], "source": [ "clf.support_vectors_" ] }, { "cell_type": "code", "execution_count": 206, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[-0.2672062, -0.7327938, 1. ]])" ] }, "execution_count": 206, "metadata": {}, "output_type": "execute_result" } ], "source": [ "clf.dual_coef_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `sklearn` implementation attaches the sign to the $\\alpha$s" ] }, { "cell_type": "code", "execution_count": 221, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 0.22967329 -1.37758262]\n" ] } ], "source": [ "# calculating w\n", "w = np.sum(clf.dual_coef_.T*clf.support_vectors_,axis=0)\n", "print(w)" ] }, { "cell_type": "code", "execution_count": 222, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 0.22967329, -1.37758262]])" ] }, "execution_count": 222, "metadata": {}, "output_type": "execute_result" } ], "source": [ "clf.coef_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The key takeaway here is that while the dual optimization formulation of SVMs involves $N$ $\\alpha$s, only a few are non-zero. These correspond to the training examples that lie on the hyper-plane, and are know as the **support vectors**." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Non-separable Case" ] }, { "cell_type": "code", "execution_count": 346, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "X, y = make_blobs(n_samples=100, centers=2,\n", " random_state=0, cluster_std=1.2)\n", "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='jet');" ] }, { "cell_type": "code", "execution_count": 358, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "X, y = make_blobs(n_samples=100, centers=2,\n", " random_state=0, cluster_std=0.8)\n", "\n", "fig, ax = plt.subplots(1, 2, figsize=(16, 6))\n", "fig.subplots_adjust(left=0.0625, right=0.95, wspace=0.1)\n", "\n", "for axi, C in zip(ax, [10.0, 0.01]):\n", " clf = svm.SVC(kernel='linear', C=C)\n", " clf.fit(X, y)\n", " axi.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='jet')\n", " xlim = axi.get_xlim()\n", " ylim = axi.get_ylim()\n", "\n", " # create grid to evaluate model\n", " xx = np.linspace(xlim[0], xlim[1], 30)\n", " yy = np.linspace(ylim[0], ylim[1], 30)\n", " YY, XX = np.meshgrid(yy, xx)\n", " xy = np.vstack([XX.ravel(), YY.ravel()]).T\n", " Z = clf.decision_function(xy).reshape(XX.shape)\n", "\n", " # plot decision boundary and margins\n", " axi.contour(XX, YY, Z, colors='k', levels=[-1, 0, 1], alpha=0.5,\n", " linestyles=['--', '-', '--'])\n", " # plot support vectors\n", " axi.scatter(clf.support_vectors_[:, 0], clf.support_vectors_[:, 1], s=100,\n", " linewidth=1, facecolors='none', edgecolors='k')\n", " axi.set_title('C = {0:.1f}'.format(C), size=14)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Bias vs. Variance\n", "Consider the following experiment" ] }, { "cell_type": "code", "execution_count": 350, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#X, y = make_blobs(n_samples=1000, centers=2,\n", "# random_state=0, cluster_std=1.8)\n", "X, y = make_moons(n_samples=1000,noise=0.5, random_state=0)\n", "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='jet');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We sample points from the above data set, and every time train a linear SVM classifier on the sample. Due to randomness, the trained model will be different. However, we want to study, if the model is more stable when C is high or low?" ] }, { "cell_type": "code", "execution_count": 355, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "C = 10\n", "fig, ax = plt.subplots(4, 2, figsize=(10, 10))\n", "expind = 0\n", "for i in range(4):\n", " for j in range(2):\n", " axi = ax[i,j]\n", " sampleinds = np.random.permutation(X.shape[0])[0:40]\n", " Xtrain,ytrain = X[sampleinds,:],y[sampleinds]\n", "\n", " clf = svm.SVC(kernel='linear', C=C)\n", " clf.fit(Xtrain, ytrain)\n", " axi.scatter(Xtrain[:, 0], Xtrain[:, 1], c=ytrain, s=50, cmap='jet')\n", " xlim = axi.get_xlim()\n", " ylim = axi.get_ylim()\n", "\n", " # create grid to evaluate model\n", " xx = np.linspace(xlim[0], xlim[1], 30)\n", " yy = np.linspace(ylim[0], ylim[1], 30)\n", " YY, XX = np.meshgrid(yy, xx)\n", " xy = np.vstack([XX.ravel(), YY.ravel()]).T\n", " Z = clf.decision_function(xy).reshape(XX.shape)\n", "\n", " # plot decision boundary and margins\n", " axi.contour(XX, YY, Z, colors='k', levels=[-1, 0, 1], alpha=0.5,\n", " linestyles=['--', '-', '--'])\n", " # plot support vectors\n", " axi.scatter(clf.support_vectors_[:, 0], clf.support_vectors_[:, 1], s=100,\n", " linewidth=1, facecolors='none', edgecolors='k')\n", " axi.set_title('C = {0:.1f}'.format(C), size=14)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Testin stability of models under different training sets for different values of $C$" ] }, { "cell_type": "code", "execution_count": 152, "metadata": {}, "outputs": [], "source": [ "var = []\n", "accs = []\n", "for C in np.linspace(0.1,1,20):\n", " coefs = []\n", " tr_ac = []\n", " for i in range(100):\n", " sampleinds = np.random.permutation(X.shape[0])[0:40]\n", " Xtrain,ytrain = X[sampleinds,:],y[sampleinds]\n", "\n", " clf = svm.SVC(kernel='linear', C=C)\n", " clf.fit(Xtrain, ytrain)\n", " ypred = clf.predict(Xtrain)\n", " tr_ac.append(accuracy_score(ytrain,ypred))\n", " coefs.append(np.array([clf.coef_[0,0],clf.coef_[0,1]]))\n", " var.append(np.sum(np.std(np.array(coefs),axis=0)))\n", " accs.append(np.mean(tr_ac))" ] }, { "cell_type": "code", "execution_count": 155, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(np.linspace(0.1,1,20),var)\n", "#plt.text(0,0.3,'mule')\n", "#plt.text(10,1.2,'sheep')\n", "plt.ylabel('Variance')\n", "plt.xlabel('C')\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Studying impact of $C$ on performance" ] }, { "cell_type": "code", "execution_count": 119, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# first generate all data\n", "Xfull = np.vstack([np.random.uniform(-1,1,1000),np.random.uniform(-1,1,1000)]).T\n", "X1 = np.hstack([np.ones((Xfull.shape[0],1)),Xfull,Xfull[:,0:1]**2+Xfull[:,1:2]**2,Xfull[:,0:1]**2])\n", "w = np.array([[1],[1],[1],[3],[2]])\n", "d = np.dot(X1,w)\n", "yfull = np.ones((Xfull.shape[0],1))\n", "yfull[d < 2.5] = -1\n", "plt.scatter(Xfull[:,0],Xfull[:,1],c=yfull.flatten(),cmap='jet')\n", "yfull=yfull.flatten()" ] }, { "cell_type": "code", "execution_count": 136, "metadata": {}, "outputs": [], "source": [ "# set aside some of it for future testing\n", "sampleinds = np.random.permutation(Xfull.shape[0])\n", "Xtest,ytest = Xfull[sampleinds[0:100],:], yfull[sampleinds[0:100]]\n", "X,y = Xfull[sampleinds[100:],:], yfull[sampleinds[100:]]" ] }, { "cell_type": "code", "execution_count": 147, "metadata": {}, "outputs": [], "source": [ "trainingaccuracy_m = []\n", "testingaccuracy_m = []\n", "trainingaccuracy_s = []\n", "testingaccuracy_s = []\n", "Cvals = np.linspace(0.1,5,20)\n", "for C in Cvals:\n", " tr_ac = []\n", " te_ac = []\n", " for i in range(100):\n", " sampleinds = np.random.permutation(X.shape[0])[0:40]\n", " Xtrain,ytrain = X[sampleinds,:],y[sampleinds]\n", "\n", " clf = svm.SVC(kernel='linear', C=C)\n", " clf.fit(Xtrain, ytrain)\n", " \n", " # calculate accuracy on training set\n", " ypred = clf.predict(Xtrain)\n", " tr_ac.append(accuracy_score(ytrain,ypred))\n", " # calculate accuracy on testing set\n", " ypred = clf.predict(Xtest)\n", " te_ac.append(accuracy_score(ytest,ypred))\n", " trainingaccuracy_m.append(np.mean(tr_ac))\n", " trainingaccuracy_s.append(np.std(tr_ac))\n", "\n", " testingaccuracy_m.append(np.mean(te_ac))\n", " testingaccuracy_s.append(np.std(te_ac))\n" ] }, { "cell_type": "code", "execution_count": 148, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(Cvals,trainingaccuracy_m)\n", "plt.plot(Cvals,testingaccuracy_m,'r')\n", "plt.ylabel('Accuracy')\n", "plt.xlabel('C')\n", "plt.legend(['Accuracy on Training Data','Accuracy on Testing Data'])\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Kernel SVM" ] }, { "cell_type": "code", "execution_count": 164, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 164, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "np.random.seed(0)\n", "X = np.random.randn(300, 2)\n", "Y = np.logical_xor(X[:, 0] > 0, X[:, 1] > 0)\n", "\n", "plt.scatter(X[:, 0], X[:, 1], s=30, c=Y, cmap=plt.cm.Paired,\n", " edgecolors='k')" ] }, { "cell_type": "code", "execution_count": 198, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "SVC(C=1, cache_size=200, class_weight=None, coef0=0.0,\n", " decision_function_shape='ovr', degree=3, gamma='auto', kernel='rbf',\n", " max_iter=-1, probability=False, random_state=None, shrinking=True,\n", " tol=0.001, verbose=False)" ] }, "execution_count": 198, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# fit the model\n", "clf = svm.SVC(kernel='rbf',gamma='auto',C=1)\n", "clf.fit(X, Y)" ] }, { "cell_type": "code", "execution_count": 199, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# sample points on a grid\n", "xx, yy = np.meshgrid(np.linspace(-3, 3, 500),\n", " np.linspace(-3, 3, 500))\n", "# plot the decision function for each datapoint on the grid\n", "Z = clf.decision_function(np.c_[xx.ravel(), yy.ravel()])\n", "Z = Z.reshape(xx.shape)\n", "plt.imshow(Z, interpolation='nearest',\n", " extent=(xx.min(), xx.max(), yy.min(), yy.max()), aspect='auto',\n", " origin='lower', cmap=plt.cm.PuOr_r)\n", "contours = plt.contour(xx, yy, Z, levels=[0], linewidths=2,\n", " linestyles='dashed')\n", "plt.scatter(X[:, 0], X[:, 1], s=30, c=Y, cmap=plt.cm.Paired,\n", " edgecolors='k')\n", "plt.xticks(())\n", "plt.yticks(())\n", "plt.axis([-3, 3, -3, 3])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Study the impact of $\\gamma$ and $C$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The RBF Kernel" ] }, { "cell_type": "code", "execution_count": 239, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 239, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x1 = 0\n", "x2 = np.linspace(-10,10,100)\n", "k = np.zeros((x2.shape[0],1))\n", "for gamma in [0.1,0.5,0.9,2]:\n", " for i in range(k.shape[0]):\n", " k[i] = np.exp(-0.5*gamma**2*((x1 - x2[i])**2));\n", " plt.plot(x2,k,label='$\\gamma$='+str(gamma))\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 211, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 211, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "X,Y = make_circles(n_samples=500, noise=0.3, factor=0.5, random_state=1)\n", "plt.scatter(X[:, 0], X[:, 1], s=30, c=Y, cmap=plt.cm.Paired,\n", " edgecolors='k')" ] }, { "cell_type": "code", "execution_count": 237, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "SVC(C=1.0, cache_size=200, class_weight=None, coef0=0.0,\n", " decision_function_shape='ovr', degree=9, gamma=400, kernel='rbf',\n", " max_iter=-1, probability=False, random_state=None, shrinking=True,\n", " tol=0.001, verbose=False)" ] }, "execution_count": 237, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# fit the model\n", "clf = svm.SVC(kernel='rbf',degree=9,gamma=400)\n", "clf.fit(X, Y)" ] }, { "cell_type": "code", "execution_count": 238, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# sample points on a grid\n", "xx, yy = np.meshgrid(np.linspace(-2, 2, 500),\n", " np.linspace(-2, 2, 500))\n", "# plot the decision function for each datapoint on the grid\n", "Z = clf.decision_function(np.c_[xx.ravel(), yy.ravel()])\n", "Z = Z.reshape(xx.shape)\n", "plt.imshow(Z, interpolation='nearest',\n", " extent=(xx.min(), xx.max(), yy.min(), yy.max()), aspect='auto',\n", " origin='lower', cmap=plt.cm.PuOr_r)\n", "contours = plt.contour(xx, yy, Z, levels=[0], linewidths=2,\n", " linestyles='dashed')\n", "plt.scatter(X[:, 0], X[:, 1], s=30, c=Y, cmap=plt.cm.Paired,\n", " edgecolors='k')\n", "plt.xticks(())\n", "plt.yticks(())\n", "plt.axis([-2, 2, -2, 2])\n", "plt.show()" ] } ], "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": "3.6.8" } }, "nbformat": 4, "nbformat_minor": 2 }