{
 "metadata": {
  "name": "",
  "signature": "sha256:fd985c2362d2f2f862bdc4dfa4661422e25fc4e7ad9629dbc82c250447f94d5c"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# A bit of setup\n",
      "import numpy as np\n",
      "import matplotlib.pyplot as plt\n",
      "\n",
      "%matplotlib 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'\n",
      "\n",
      "# for auto-reloading extenrnal modules\n",
      "# see http://stackoverflow.com/questions/1907993/autoreload-of-modules-in-ipython\n",
      "%load_ext autoreload\n",
      "%autoreload 2"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "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])\n",
      "#fig.savefig('spiral_raw.png')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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85jBo0HJ0dRvTsOF3NGrUlgULFmU0baFhMtKVh82a5UXNmq4kJEZjWaQyb2Ii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2trjp85xfnz57lx4wa1a9emWbNmJZuXC0JZEq8XKzFJkmjWtCVyZQ08PXohk8lQqQo5fWk5Q97o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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x6764990>"
       ]
      }
     ],
     "prompt_number": 323
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#Train a Linear Classifier\n",
      "\n",
      "# initialize parameters randomly\n",
      "W = 0.01 * np.random.randn(D,K)\n",
      "b = np.zeros((1,K))\n",
      "\n",
      "# some hyperparameters\n",
      "step_size = 1e-0\n",
      "reg = 1e-3 # regularization strength\n",
      "\n",
      "# gradient descent loop\n",
      "num_examples = X.shape[0]\n",
      "for i in xrange(200):\n",
      "  \n",
      "  # evaluate class scores, [N x K]\n",
      "  scores = np.dot(X, W) + b \n",
      "  \n",
      "  # compute the class probabilities\n",
      "  exp_scores = np.exp(scores)\n",
      "  probs = exp_scores / np.sum(exp_scores, axis=1, keepdims=True) # [N x K]\n",
      "  \n",
      "  # compute the loss: average cross-entropy loss and regularization\n",
      "  corect_logprobs = -np.log(probs[range(num_examples),y])\n",
      "  data_loss = np.sum(corect_logprobs)/num_examples\n",
      "  reg_loss = 0.5*reg*np.sum(W*W)\n",
      "  loss = data_loss + reg_loss\n",
      "  if i % 10 == 0:\n",
      "    print \"iteration %d: loss %f\" % (i, loss)\n",
      "  \n",
      "  # compute the gradient on scores\n",
      "  dscores = probs\n",
      "  dscores[range(num_examples),y] -= 1\n",
      "  dscores /= num_examples\n",
      "  \n",
      "  # backpropate the gradient to the parameters (W,b)\n",
      "  dW = np.dot(X.T, dscores)\n",
      "  db = np.sum(dscores, axis=0, keepdims=True)\n",
      "  \n",
      "  dW += reg*W # regularization gradient\n",
      "  \n",
      "  # perform a parameter update\n",
      "  W += -step_size * dW\n",
      "  b += -step_size * db"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "iteration 0: loss 1.096956\n",
        "iteration 10: loss 0.917265\n",
        "iteration 20: loss 0.851503\n",
        "iteration 30: loss 0.822336\n",
        "iteration 40: loss 0.807586\n",
        "iteration 50: loss 0.799448\n",
        "iteration 60: loss 0.794681\n",
        "iteration 70: loss 0.791764\n",
        "iteration 80: loss 0.789920\n",
        "iteration 90: loss 0.788726\n",
        "iteration 100: loss 0.787938\n",
        "iteration 110: loss 0.787409\n",
        "iteration 120: loss 0.787049\n",
        "iteration 130: loss 0.786803\n",
        "iteration 140: loss 0.786633\n",
        "iteration 150: loss 0.786514\n",
        "iteration 160: loss 0.786431\n",
        "iteration 170: loss 0.786373\n",
        "iteration 180: loss 0.786331\n",
        "iteration 190: loss 0.786302\n"
       ]
      }
     ],
     "prompt_number": 329
    },
    {
     "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)\n",
      "print 'training accuracy: %.2f' % (np.mean(predicted_class == y))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "training accuracy: 0.49\n"
       ]
      }
     ],
     "prompt_number": 330
    },
    {
     "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')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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AYyMLirg15O7FI7QY9BeWHq74hP5HpHEY9XtMxLN8o3ce38HMElCyRd3VtN83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\nMkJjBQAAkBEaKwAAgIz8A3aZVNnlF9oiAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x3bf7790>"
       ]
      }
     ],
     "prompt_number": 331
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# initialize parameters randomly\n",
      "h = 100 # size of hidden layer\n",
      "W = 0.01 * np.random.randn(D,h)\n",
      "b = np.zeros((1,h))\n",
      "W2 = 0.01 * np.random.randn(h,K)\n",
      "b2 = np.zeros((1,K))\n",
      "\n",
      "# some hyperparameters\n",
      "step_size = 1e-0\n",
      "reg = 1e-3 # regularization strength\n",
      "\n",
      "# gradient descent loop\n",
      "num_examples = X.shape[0]\n",
      "for i in xrange(10000):\n",
      "  \n",
      "  # evaluate class scores, [N x K]\n",
      "  hidden_layer = np.maximum(0, np.dot(X, W) + b) # note, ReLU activation\n",
      "  scores = np.dot(hidden_layer, W2) + b2\n",
      "  \n",
      "  # compute the class probabilities\n",
      "  exp_scores = np.exp(scores)\n",
      "  probs = exp_scores / np.sum(exp_scores, axis=1, keepdims=True) # [N x K]\n",
      "  \n",
      "  # compute the loss: average cross-entropy loss and regularization\n",
      "  corect_logprobs = -np.log(probs[range(num_examples),y])\n",
      "  data_loss = np.sum(corect_logprobs)/num_examples\n",
      "  reg_loss = 0.5*reg*np.sum(W*W) + 0.5*reg*np.sum(W2*W2)\n",
      "  loss = data_loss + reg_loss\n",
      "  if i % 1000 == 0:\n",
      "    print \"iteration %d: loss %f\" % (i, loss)\n",
      "  \n",
      "  # compute the gradient on scores\n",
      "  dscores = probs\n",
      "  dscores[range(num_examples),y] -= 1\n",
      "  dscores /= num_examples\n",
      "  \n",
      "  # backpropate the gradient to the parameters\n",
      "  # first backprop into parameters W2 and b2\n",
      "  dW2 = np.dot(hidden_layer.T, dscores)\n",
      "  db2 = np.sum(dscores, axis=0, keepdims=True)\n",
      "  # next backprop into hidden layer\n",
      "  dhidden = np.dot(dscores, W2.T)\n",
      "  # backprop the ReLU non-linearity\n",
      "  dhidden[hidden_layer <= 0] = 0\n",
      "  # finally into W,b\n",
      "  dW = np.dot(X.T, dhidden)\n",
      "  db = np.sum(dhidden, axis=0, keepdims=True)\n",
      "  \n",
      "  # add regularization gradient contribution\n",
      "  dW2 += reg * W2\n",
      "  dW += reg * W\n",
      "  \n",
      "  # perform a parameter update\n",
      "  W += -step_size * dW\n",
      "  b += -step_size * db\n",
      "  W2 += -step_size * dW2\n",
      "  b2 += -step_size * db2"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "iteration 0: loss 1.098744\n",
        "iteration 1000: loss 0.294946"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "iteration 2000: loss 0.259301"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "iteration 3000: loss 0.248310"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "iteration 4000: loss 0.246170"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "iteration 5000: loss 0.245649"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "iteration 6000: loss 0.245491"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "iteration 7000: loss 0.245400"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "iteration 8000: loss 0.245335"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "iteration 9000: loss 0.245292"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n"
       ]
      }
     ],
     "prompt_number": 332
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# evaluate training set accuracy\n",
      "hidden_layer = np.maximum(0, np.dot(X, W) + b)\n",
      "scores = np.dot(hidden_layer, W2) + b2\n",
      "predicted_class = np.argmax(scores, axis=1)\n",
      "print 'training accuracy: %.2f' % (np.mean(predicted_class == y))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "training accuracy: 0.98\n"
       ]
      }
     ],
     "prompt_number": 333
    },
    {
     "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.maximum(0, np.dot(np.c_[xx.ravel(), yy.ravel()], W) + b), W2) + b2\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_net.png')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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ZpfR2CxoNW5aPophveji6FBjC6fPXWbdpIsbG6T8OHB1t+WPG19Sv9y3f9m2u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+gl9h36BgC7o7F6erD/ADKyf0SrceHKiY/hdXKKqLQiix82/oWrJj2Bu6ExgAj2H8Doobexa8UH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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x6763b90>"
       ]
      }
     ],
     "prompt_number": 336
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": []
    }
   ],
   "metadata": {}
  }
 ]
}