{ "cells": [ { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "from mpl_toolkits.mplot3d import Axes3D\n", "import matplotlib.pyplot as plt\n", "import matplotlib.text as txt\n", "import matplotlib.lines as lines\n", "from matplotlib.colors import ListedColormap\n", "import time\n", "from sklearn.datasets.samples_generator import make_blobs\n", "from sklearn.preprocessing import StandardScaler\n", "from sklearn.datasets import make_classification\n", "from sklearn.linear_model import Perceptron\n", "from IPython import display\n", "import pylab as pl\n", "%matplotlib inline\n", "cm_bright = ListedColormap(['#FF0000', '#0000FF'])\n" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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1/amti+W7tMZFifLT7IOh2l3bnztB7t5fDqrmW4eajuWUh9Ryp9YAcu/R5sxL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\nqOQdVF+EspOT1Vle5n9TpJkrX0PYqfP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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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WF4nAVfTll7jG5s0glWJpjI0aic1eny/Vz15VhSpUnuAKBnGddDndr7vObj0o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EVzww2QLgcOiO+xcWNv768acPQo9mFmsJ19Nvaka65BHHn7dghCJihY6SIzF1zTEJvONoWhsNAo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\nVEsuFrNnh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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# generate uniformly sampled data\n", "delta = 0.1\n", "w1 = 4.5\n", "w2 = -3\n", "X = np.random.uniform(size=[1000,2])\n", "# split in two classes using a linear boundary\n", "y = np.zeros([X.shape[0],1])\n", "for i in range(X.shape[0]):\n", " if w1*X[i,0] + w2*X[i,1] > 1.75 + delta:\n", " y[i] = 1\n", " elif w1*X[i,0] + w2*X[i,1] < 1.75 - delta:\n", " y[i] = 0\n", " else:\n", " y[i] = -1\n", "# remove examples with negative labels\n", "inds = np.where(y != -1)[0]\n", "X = X[inds,:]\n", "y = y[inds]\n", "# plot data\n", "plt.scatter(X[:,0],X[:,1],c='k')\n", "plt.show()\n", "plt.scatter(X[:,0],X[:,1],c=y,cmap=cm_bright)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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RRzPd6/QyfrxYLsHngwCaURQWqid8KS+7Pe2aM3RKjNwfeICoSpXwVGqPB0WS9SxAIElI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\naSlEsxU53qpV8eCpTKjJ6nq9SPVv1465Xz/mJUuS30dBAdQ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psd9+K9DOPRF++lOZVDVa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\n3DUajSYD0c5do9FoMhDt3DUajSYD+X9ZMSkVaKllxgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# sample training data\n", "tr = np.random.permutation(len(y))[0:300]\n", "trainX = X[tr,:]\n", "trainy = y[tr].ravel()\n", "plt.scatter(trainX[:,0],trainX[:,1],c=trainy,cmap=cm_bright)" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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h9ccfVcP30aMUJqrsi4LLRctCpLS9XroV4smj1fsPGQJ8+62/wOncGWjYULtu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pxBd1hTW6mi8rFjvoosJbcbS+ill2pvm9NCjTCDSZMQzTlnDha+x4MF+t//QrCEo42TJiEljFTw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My3qXlYGmyMnR0mI1VF5s9R47dPTCDNavV+etqK7GTTV2bO3bw+uq7Zq0I9HiesHP6YQB/frX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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# learn a perceptron\n", "clf = Perceptron()\n", "clf.fit(trainX, trainy) \n", "trainMistakes = len(np.where(clf.predict(trainX) != trainy)[0])\n", "aM = np.where(clf.predict(X) != y.ravel())[0]\n", "allMistakes = len(aM)\n", "\n", "# plot the decision surface\n", "fig = plt.figure(figsize=(12, 6))\n", "ax = fig.add_subplot(1,2,1)\n", "plotBoundary(trainX,trainy,clf,ax)\n", "ax.set_title('Training Data. Mistakes = %d of %d'%(trainMistakes,len(trainy)))\n", "ax = fig.add_subplot(1,2,2)\n", "plotBoundary(X,y,clf,ax)\n", "ax.set_title('All Data. Mistakes = %d of %d'%(allMistakes,len(y)))\n" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def plotBoundary(X,y,clf,ax):\n", " h = .01 # step size in the mesh\n", "\n", " X1_min, X1_max = X[:, 0].min() - .1, X[:, 0].max() + .1\n", " X2_min, X2_max = X[:, 1].min() - .1, X[:, 1].max() + .1\n", " X1_, X2_ = np.meshgrid(np.arange(X1_min, X1_max, h),np.arange(X2_min, X2_max, h))\n", " Xpred = np.c_[X1_.ravel(), X2_.ravel()]\n", " ypred = clf.predict(Xpred)\n", " ypred = ypred.reshape(X1_.shape)\n", " cm = plt.cm.RdBu\n", " cm_bright = ListedColormap(['#FF0000', '#0000FF'])\n", " ax.pcolormesh(X1_, X2_, ypred, cmap=cm_bright,alpha=.2)\n", " sp = ax.scatter(X[:, 0], X[:, 1], c=y, cmap=cm_bright)\n", " \n", " ax.set_xlim(X1_.min(), X1_.max())\n", " ax.set_ylim(X2_.min(), X2_.max())\n", " ax.set_xticks(())\n", " ax.set_yticks(())" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "241.621106471\n" ] } ], "source": [ "delta = 0.5\n", "eps = 0.5\n", "d = 2\n", "minm = (1/eps)*((8*(d+1)*np.log2(13/eps)) + 4*np.log2(2/delta))\n", "print(minm)" ] } ], "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": "3.6.6" } }, "nbformat": 4, "nbformat_minor": 2 }