{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Credits -- This IPython Notebook is based on this awesome tutorial and IPython Notebook by [Stanford University](http://cs231n.github.io/neural-networks-case-study/)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Import the required modules\n", "%pylab inline\n", "plt.rcParams['figure.figsize'] = (10.0, 8.0) # set default size of plots\n", "plt.rcParams['image.interpolation'] = 'nearest'\n", "plt.rcParams['image.cmap'] = 'gray'" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "# Generate the training set\n", "#TODO\n", "np.random.seed(0)\n", "N = 100 # number of points per class\n", "D = 2 # dimensionality\n", "K = 3 # number of classes\n", "X = np.zeros((N*K,D))\n", "y = np.zeros(N*K, dtype='uint8')\n", "for j in xrange(K):\n", " ix = range(N*j,N*(j+1))\n", " r = np.linspace(0.0,1,N) # radius\n", " t = np.linspace(j*4,(j+1)*4,N) + np.random.randn(N)*0.2 # theta\n", " X[ix] = np.c_[r*np.sin(t), r*np.cos(t)]\n", " y[ix] = j\n", "fig = plt.figure()\n", "plt.scatter(X[:, 0], X[:, 1], c=y, s=40, cmap=plt.cm.Spectral)\n", "plt.xlim([-1,1])\n", "plt.ylim([-1,1])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 2, "text": [ "(-1, 1)" ] }, { "metadata": {}, "output_type": "display_data", "png": 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6phVcADVrlqNz5/rs2bMnU2337t0HN7eFjBixBi2tFjRr9iPNm3di6dLlmU1b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\n2nMi7vitfIxS+d+bZD8sW4GNrQ0PDB9GRESEbNQrK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"text": [ "" ] } ], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "# Initialize the weights and biases\n", "W = 0.01 * np.random.randn(D,K)\n", "b = np.zeros((1, K))\n", "\n", "# Number of examples\n", "num_examples = X.shape[0]\n", "\n", "# alpha is the learning rate \n", "alpha = 1e-0\n", "# lambda is the regularization cofficient\n", "# NOTE Since lambda is reserved work in python\n", "# We will use lambdaa\n", "lambdaa = 1e-3" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Calculate the score\n", "\n", "$h = W * X + b$\n", "\n", "where \n", "\n", "* $W$ is the weight of dimension -- (`D`, `K`)\n", "* $X$ is the input array of dimension -- (`num_examples`, `D`)\n", "\n", "## Calculate the log probabilities probabilities. \n", "\n", "$p_k = \\frac{e^{f_k}}{ \\sum_j e^{f_j} } \\hspace{1in} L_i =-\\log\\left(p_{y_i}\\right)$\n", "\n", "## Analytical Gradient with Backpropagation\n", "\n", "$\\frac{\\partial L_i }{ \\partial f_k } = p_k - \\mathbb{1}(y_i = k)$\n", "\n", "$\\frac{\\partial L_i }{ \\partial f_k } = p_k (y_i != k)$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "for i in range(300):\n", " # Calculate the scores\n", " scores = np.dot(X, W) + b\n", " # Calculate the normalized probabilites\n", " exp_scores = np.exp(scores)\n", " probs = exp_scores/np.sum(exp_scores, axis = 1, keepdims=True)\n", " # Correct Normalized Probabilites\n", " log_probs =-np.log(probs)\n", " # Calculate the data loss\n", " data_loss = np.sum(log_probs[range(num_examples), y])/num_examples\n", " # Calculate the regularization loss\n", " reg_loss = .5*lambdaa*np.sum(W*W)\n", " # Get the total loss\n", " loss = data_loss + reg_loss\n", " # Print the Total loss at the ith iteration\n", " if i % 30 == 0:\n", " print \"Loss at iteration {} is {}\".format(i, loss)\n", " \n", " # Calculate the gradients for backpropagation\n", " dscores = probs\n", " dscores[range(num_examples), y] -= 1\n", " dscores /= num_examples\n", " dW = np.dot(X.T, dscores)\n", " db = np.sum(dscores, axis=0, keepdims=True)\n", " \n", " # Regularize the weight gradient\n", " dW += lambdaa * W\n", " # No need to the regularize the bias gradients\n", " \n", " # Update the weights and bias\n", " W -= alpha*dW\n", " b -= alpha*db\n", " " ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Loss at iteration 0 is 1.09691944027\n", "Loss at iteration 30 is 0.822352268534\n", "Loss at iteration 60 is 0.794682543764\n", "Loss at iteration 90 is 0.78872623605" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Loss at iteration 120 is 0.787049195401\n", "Loss at iteration 150 is 0.786513941749" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Loss at iteration 180 is 0.786331349242\n", "Loss at iteration 210 is 0.786266671779\n", "Loss at iteration 240 is 0.786243250465" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Loss at iteration 270 is 0.786234655744\n" ] } ], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "# evaluate training set accuracy\n", "scores = np.dot(X, W) + b\n", "predicted_class = np.argmax(scores, axis=1)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "# plot the resulting classifier\n", "h = 0.02\n", "x_min, x_max = X[:, 0].min() - 1, X[:, 0].max() + 1\n", "y_min, y_max = X[:, 1].min() - 1, X[:, 1].max() + 1\n", "xx, yy = np.meshgrid(np.arange(x_min, x_max, h),\n", " np.arange(y_min, y_max, h))\n", "Z = np.dot(np.c_[xx.ravel(), yy.ravel()], W) + b\n", "Z = np.argmax(Z, axis=1)\n", "Z = Z.reshape(xx.shape)\n", "fig = plt.figure()\n", "plt.contourf(xx, yy, Z, cmap=plt.cm.Spectral, alpha=0.8)\n", "plt.scatter(X[:, 0], X[:, 1], c=y, s=40, cmap=plt.cm.Spectral)\n", "plt.xlim(xx.min(), xx.max())\n", "plt.ylim(yy.min(), yy.max())\n", "#fig.savefig('spiral_linear.png') br" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 6, "text": [ "(-1.8712034092398278, 1.8687965907601756)" ] }, { "metadata": {}, "output_type": "display_data", "png": 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s2/UvcxftQKmlxPvwRX5d8A89O9dl+rguqZqI7vA+Q5EitnTsWCflWIECZkyZ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\nWlVCCCHOjySvCwHEj7OQ4cOx/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