Skip to content

Instantly share code, notes, and snippets.

@naturale0
Created April 18, 2018 14:37
Show Gist options
  • Star 0 You must be signed in to star a gist
  • Fork 0 You must be signed in to fork a gist
  • Save naturale0/edc7e24a3346c56d586439334eec0005 to your computer and use it in GitHub Desktop.
Save naturale0/edc7e24a3346c56d586439334eec0005 to your computer and use it in GitHub Desktop.
training as testing a 2-layer NN
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib as mpl\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 2-layer Neural Net"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def train_nn(x, y, x_test, y_test, D, K, reg=.001, eta=.05, epochs=5000):\n",
" # initialize weights\n",
" ## normalized for ReLU activation: \"/ np.sqrt(n / 2.)\"\n",
" W1 = np.random.randn(D, 100) * 0.01 / np.sqrt(D / 2.)\n",
" b1 = np.zeros((1, 100))\n",
" W2 = np.random.randn(100, K) * 0.01 / np.sqrt(100 / 2.)\n",
" b2 = np.zeros((1, K))\n",
"\n",
" # training process\n",
" losses = []\n",
" train_accs, test_accs = [], []\n",
"\n",
" for epoch in range(epochs):\n",
" h = np.maximum(0, x.dot(W1) + b1) # hidden layer\n",
" s = h.dot(W2) + b2 # final layer\n",
"\n",
" # backprop to hidden layer\n",
" p = np.exp(s) / np.sum(np.exp(s), axis=1, keepdims=True)\n",
" dhidden = p.copy()\n",
" dhidden[range(x.shape[0]), y] -= 1\n",
" dhidden /= x.shape[0]\n",
" dW2 = (h.T).dot(dhidden) + reg * W2\n",
" db2 = np.sum(dhidden, axis=0, keepdims=True)\n",
"\n",
" # backprop the activation (relu)\n",
" drelu = (dhidden).dot(W2.T)\n",
" drelu[h <= 0] = 0\n",
"\n",
" # backprop to input layer\n",
" dW1 = (x.T).dot(drelu) + reg * W1\n",
" db1 = np.sum(drelu, axis=0, keepdims=True)\n",
"\n",
" # update weights\n",
" W1 -= eta * dW1; b1 -= eta * db1\n",
" W2 -= eta * dW2; b2 -= eta * db2\n",
"\n",
" # compute loss\n",
" data_loss = -np.sum(np.log(p[range(x.shape[0]), y])) / x.shape[0]\n",
" reg_loss = 0.5 * reg * (np.sum(W2**2) + np.sum(W1**2))\n",
" loss = data_loss + reg_loss\n",
" losses.append(loss)\n",
" \n",
" # compute accuracy\n",
" train_pred = np.argmax(s, axis=1)\n",
" train_acc = np.sum((train_pred==y) / float(y.shape[0]))\n",
" train_accs.append(train_acc)\n",
"\n",
" s_test = (np.maximum(0, x_test.dot(W1) + b1)).dot(W2) + b2\n",
" test_pred = np.argmax(s_test, axis=1)\n",
" test_acc = np.sum((test_pred==y_test) / float(y_test.shape[0]))\n",
" test_accs.append(test_acc)\n",
" \n",
" # print loss, acc\n",
" if epoch % 1000 == 0:\n",
" print(\"{}: loss={:0.5f}, train_acc={:0.2f}, test_acc={:0.2f}\".format(epoch, loss, train_acc, test_acc))\n",
" \n",
" return W1, b1, W2, b2, losses, train_accs, test_accs"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Fisher's iris data"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from sklearn.datasets import load_iris\n",
"x = load_iris().data\n",
"y = load_iris().target"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# shuffle data\n",
"np.random.seed(0)\n",
"np.random.shuffle(x)\n",
"np.random.seed(0)\n",
"np.random.shuffle(y)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"split = 75\n",
"x_train, x_test = x[:split, [1, 3]], x[split:, [1, 3]]\n",
"y_train, y_test = y[:split], y[split:]\n",
"D, K = x_train.shape[1], len(np.unique(y))"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAjkAAAEYCAYAAAC+8+djAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10aff12d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(8,4))\n",
"plt.subplot(121)\n",
"plt.scatter(x_train[:, 0], x_train[:, 1], c=y_train, cmap=mpl.cm.Spectral)\n",
"plt.title(\"Training set\")\n",
"\n",
"plt.subplot(122)\n",
"plt.scatter(x_test[:, 0], x_test[:, 1], c=y_test, cmap=mpl.cm.Spectral)\n",
"plt.title(\"Test set\")\n",
"plt.tight_layout();"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0: loss=1.09859, train_acc=0.60, test_acc=0.27\n",
"1000: loss=0.71813, train_acc=0.96, test_acc=0.92\n",
"2000: loss=0.28712, train_acc=0.95, test_acc=0.95\n",
"3000: loss=0.16991, train_acc=0.96, test_acc=0.92\n",
"4000: loss=0.13041, train_acc=0.96, test_acc=0.92\n"
]
}
],
"source": [
"result = train_nn(x_train, y_train, x_test, y_test, D, K, reg=0, eta=.01, epochs=5000)\n",
"W1, b1, W2, b2, losses, train_acc, test_acc = result"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x10b336dd0>"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYUAAAEKCAYAAAD9xUlFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xl0HeV9//H3V/dqXy1Zlq3FGzbGNmBjxGIMgQSbGBKW\nJvmxJIQESAhpE9Kmzdb0pG26pE1amo2kJWmApAkhkEApISwGswYbyxiDd8v7hrXZsiRb+/f3xx0L\nYbzItq5G997P65x7NPPM6Or76Fz7o5ln5hlzd0RERADSwi5ARESGD4WCiIj0USiIiEgfhYKIiPRR\nKIiISB+FgoiI9FEoiIhIH4WCiIj0USiIiEifaNgFHK+RI0f6+PHjwy5DRCShLF26tMHdS4+1X8KF\nwvjx46mpqQm7DBGRhGJmWwayn04fiYhIH4WCiIj0USiIiEgfhYKIiPRRKIiISB+FgoiI9FEoiIhI\nn4S7T+FEvbZ1D3+sbeDcCSWcWVlIVnok7JJERIadlAmFJZua+Len1gGQEUnjjMpCpo7J57TRBUwd\nk8/ksnwKstJDrlJEJFzm7mHXcFyqq6v9RO9o3tPWSc2WPSzZ3MRrW/aw9q0WWjq6+7aPyElnbEku\n44pzGFeSw7iSXMaV5DBxZC7FuRmY2WB1Q0RkSJnZUnevPuZ+qRQKh3J3dja3s3rnPjbUt7KlaT9b\nG/ezpamNHXsO0NvvV1OYnc7E0lxOKc1jYmkuk0flM6OykFEFWYNSi4hIPA00FFLm9NHhmBkVRdlU\nFGUzl7J3bOvs7mXH3gNsbmxjU30bG+pb2VDfygvr6nlo6fa+/SqKsplZVcT5E4t572mjqByRM9Td\nEBEZNCl9pHCi9rV3sX53C8u27uX1bXtZtnUvO/YeAGBKWT5XzSznI2dXUqajCBEZJnT6aAi5Oxsb\n2li4po6nVu7m1c1NpBnMm1bG5983mdMrCsMuUURSnEIhRJsb2nigZhu/XLSFfe3dzJtWxjc+OI2q\nYp1aEpFwKBSGgX3tXdz78mb+6/kN9LjzxXmn8qkLJ5KWpquYRGRoDTQUdEdzHBVkpXPHpZN5+osX\nc9HkUv758TV88t4lNLV1hl2aiMhhKRSGQHlRNnd//Gz+6U9OZ9GGRq764UtsbmgLuywRkXdRKAwR\nM+Nj543jN7fPpq2jm4/85yus3rUv7LJERN5BoTDEZlYV8eDtF5AeMT7+34vZ0qgjBhEZPhQKIZg0\nKo9f3Hoe3b3OTT97lYbWjrBLEhEBFAqhmTQqj5998hzeam7nC79eRk9vYl0FJiLJSaEQolljR/DN\nq6fzcm0j31uwLuxyREQUCmG77pyx/L+zK/nBwlqWbtkTdjkikuLiFgpm9jMzqzOzFUfYbmb2fTOr\nNbM3zGxWvGoZ7v72qumUF2bz5YeW097VE3Y5IpLC4nmkcC8w/yjbLwcmB6/bgB/HsZZhLS8zyj9/\n6Aw21Lfxw2drwy5HRFJY3ELB3V8Amo6yy9XAzz1mEVBkZmPiVc9wd/GppfzJWRXc/eJGtjXtD7sc\nEUlRYY4pVADb+q1vD9pS1pfnTyHN4NtPrg27FBFJUQkx0Gxmt5lZjZnV1NfXh11O3IwpzOa2iyby\nf8t3smyrBp1FZOiFGQo7gKp+65VB27u4+93uXu3u1aWlpUNSXFg+c/EplORm8N0F68MuRURSUJih\n8ChwU3AV0vlAs7vvCrGeYSE3M8qtF03g+XX1LN+2N+xyRCTFxPOS1PuBV4ApZrbdzG41s9vN7PZg\nl8eBjUAt8BPgT+NVS6K5afZ4CrPT+YGuRBKRIRaN1xu7+w3H2O7An8Xr5yeyvMwot8yZwH8sWMe6\n3S2cWpYfdkkikiISYqA5FX189jgyomnc98fNYZciIilEoTBMFedmcM3Mcn732g6a93eFXY6IpAiF\nwjD2iQvGc6CrhweXbjv2ziIig0ChMIxNLy/k3PHF3PfKZno1tbaIDAGFwjD3sfPHsq3pAIs2NYZd\nioikAIXCMPf+6aPJz4ryUM32sEsRkRSgUBjmstIjXDmjnMdX7KKlXQPOIhJfCoUE8JGzK2nv6uX3\nb6T8Dd8iEmcKhQRwVlURp5Tm8uBSnUISkfhSKCQAM+NDsypZumWPnrUgInGlUEgQV55ZDsDjb+oU\nkojEj0IhQYwtyWFGZSGPaVxBROJIoZBAPnhmOW/uaGZzQ1vYpYhIklIoJJAPnBl7hPXvdQpJROJE\noZBAyouyOXvcCP5v+c6wSxGRJKVQSDAfOGMMa95q0SkkEYkLhUKCuWx6GQBPr9odciUikowUCgmm\nckQO08YU8NSqt8IuRUSSkEIhAc2bVsbSLXtoaO0IuxQRSTIKhQQ0b1oZvQ7Prq4LuxQRSTIKhQQ0\nvbyAiqJsntK4gogMMoVCAjIz5k0r46Xaeg509oRdjogkEYVCgrpsWhntXb28sL4+7FJEJIkoFBLU\nOROKKcxO16WpIjKoFAoJKj2SxiVTSnl2TR09vR52OSKSJBQKCWzu1DKa2jp5fduesEsRkSShUEhg\nF08pJZpmPL1Kl6aKyOBQKCSwgqx0zptYzDOrNa4gIoNDoZDgLj2tjPV1rWxp1AR5InLyFAoJbu7U\n2AR5C3R3s4gMAoVCghtbksOpZXks0KWpIjII4hoKZjbfzNaaWa2ZffUw28ea2UIzW2Zmb5jZFfGs\nJ1nNnVrGq5ubaN7fFXYpIpLg4hYKZhYB7gIuB6YBN5jZtEN2+xvgN+5+FnA98KN41ZPMLp1aRk+v\n89w6nUISkZMTzyOFc4Fad9/o7p3Ar4GrD9nHgYJguRDQcyZPwMyqIkbmZfCMxhVE5CTFMxQqgG39\n1rcHbf39HXCjmW0HHgc+H8d6klYkzXjvlFEsXFtHV09v2OWISAILe6D5BuBed68ErgB+YWbvqsnM\nbjOzGjOrqa/XBHCHM3daGS3t3SzZ3BR2KSKSwOIZCjuAqn7rlUFbf7cCvwFw91eALGDkoW/k7ne7\ne7W7V5eWlsap3MR20eSRZETTWKC7m0XkJMQzFJYAk81sgpllEBtIfvSQfbYClwKY2VRioaBDgROQ\nkxFlziklPLNmN+6aIE9ETkzcQsHdu4HPAU8Cq4ldZbTSzL5pZlcFu/0l8GkzWw7cD3zS9T/aCbt0\nahlbGvdTW9cadikikqCi8Xxzd3+c2ABy/7Zv9FteBcyJZw2p5NKpo/ibR2J3N08uyw+7HBFJQGEP\nNMsgGlOYzekVBSzQBHkicoIUCklm7tQyXtu6h4bWjrBLEZEEpFBIMnOnluEOC9foKiQROX4KhSQz\nvbyA0QVZOoUkIidEoZBkzIxLp47ixfUNtHf1hF2OiCQYhUISmjutjP2dPbyysTHsUkQkwSgUktDs\niSXkZET0mE4ROW4KhSSUlR7hoskjeWZ1ne5uFpHjolBIUpdOLWNXczsrd+4LuxQRSSAKhST1vtNG\nYYauQhKR46JQSFIj8zI5q6pID94RkeOiUEhic6eV8eaOZt5qbg+7FBFJEAqFJDZ3ahkAz6zRKSQR\nGRiFQhKbPCqPscU5LFilUBCRgVEoJDEzY+7UMl7e0Mj+zu6wyxGRBKBQSHJzp46is7uXF9c3hF2K\niCQAhUKSO2dCMflZUd3dLCIDolBIcumRNC6ZMopnVtfR06u7m0Xk6BQKKeDy00fT2NbJKxs0QZ6I\nHJ1CIQW877RR5GVGeeT1HWGXIiLDnEIhBWSlR5h/+mieWPGWnrEgIkelUEgR18ysoLWjm2f1mE4R\nOQqFQoqYfUoJpfmZPLJMp5BE5MgUCikikmZceWY5z62tp3l/V9jliMgwpVBIIdecVU5nTy+Pr9gV\ndikiMkwNKBTM7BQzywyWLzGzO8ysKL6lyWA7o6KQU0pzeWjp9rBLEZFhaqBHCr8FesxsEnA3UAX8\nKm5VSVyYGdefM5alW/awbndL2OWIyDA00FDodfdu4E+AH7j7l4Ax8StL4uVDsypIjxgPLNkWdiki\nMgwNNBS6zOwG4BPAY0FbenxKkngqycvksmmj+d1r2+no1j0LIvJOAw2Fm4HZwD+5+yYzmwD8In5l\nSTxdd04Ve/Z38dRKTZInIu80oFBw91Xufoe7329mI4B8d//XONcmcXLhpJFUFGXrFJKIvMtArz56\nzswKzKwYeA34iZndGd/SJF7S0ozrzqnipdoGNjW0hV2OiAwjAz19VOju+4APAT939/OAucf6JjOb\nb2ZrzazWzL56hH2uNbNVZrbSzHRF0xC5/twq0iPGfX/cHHYpIjKMDDQUomY2BriWtweaj8rMIsBd\nwOXANOAGM5t2yD6Tga8Bc9x9OvDnAy1cTs6o/CyuPLOcB2u2sa9ddziLSMxAQ+GbwJPABndfYmYT\ngfXH+J5zgVp33+juncCvgasP2efTwF3uvgfA3TVb2xD65JzxtHX28FCNbmYTkZiBDjQ/6O5nuvtn\ng/WN7v7hY3xbBdB/JHN70NbfqcCpZvaymS0ys/mHeyMzu83Masyspr6+fiAlywCcWVnE2eNGcN8r\nm/VUNhEBBj7QXGlmD5tZXfD6rZlVDsLPjwKTgUuAG4gNYL9r+gx3v9vdq929urS0dBB+rBx085zx\nbGncz0JNqS0iDPz00T3Ao0B58Pq/oO1odhCbDuOgyqCtv+3Ao+7e5e6bgHXEQkKGyPzpo6koyubu\nFzaGXYqIDAMDDYVSd7/H3buD173Asf5kXwJMNrMJZpYBXE8sWPp7hNhRAmY2ktjpJP3vNISikTQ+\nfdEEXt3cxKubmsIuR0RCNtBQaDSzG80sErxuBI76FPhgrqTPERugXg38xt1Xmtk3zeyqYLcng/de\nBSwEvuTuerr8ELv+3LGMzMvgroW1YZciIiEz92MPMJrZOOAHxKa6cOCPwOfdfchvia2urvaampqh\n/rFJ70fP1fLtJ9by2Ocv5PSKwrDLEZFBZmZL3b36WPsN9OqjLe5+lbuXuvsod78GONbVR5JAbjx/\nHPlZUR0tiKS4k3ny2hcHrQoJXUFWOp+8YDxPrHyLNW/tC7scEQnJyYSCDVoVMizceuEE8jKj/NuT\n68IuRURCcjKhoLudkkxRTgafec9EFqzezdIte8IuR0RCcNRQMLMWM9t3mFcLsfsVJMncPGcCI/My\n+M6TaxjIRQgiklyOGgrunu/uBYd55bt7dKiKlKGTmxnlc++dxKKNTby4viHsckRkiJ3M6SNJUjec\nN5aKomz+5Q9rNCeSSIpRKMi7ZEYjfOXy01i1ax8P1ujpbCKpRKEgh3XlmWOoHjeC7zy5Vs9bEEkh\nCgU5LDPjb6+cTtP+Tn7wzLEenSEiyUKhIEd0RmUh155dxT0vb2ZDfWvY5YjIEFAoyFH91funkJ0e\n4W//d6UuURVJAQoFOarS/Ey+NH8KL9U28PCyQx+HISLJRqEgx3TjeeOYNbaIf3hsFU1tnWGXIyJx\npFCQY0pLM771oTNp7ejmH3+/KuxyRCSOFAoyIFNG53P7xafwu9d28OL6+rDLEZE4USjIgP3Zeycx\nsTSXrzz0Bs0HdO+CSDJSKMiAZaVHuPPamexu6eDvHl0ZdjkiEgcKBTkuM6uK+Nx7J/Hwsh38/o1d\nYZcjIoNMoSDH7XPvm8SMykK+/sib7N7XHnY5IjKIFApy3NIjadx53Uzau3r4qweX06uZVEWShkJB\nTsgppXl844PTeXF9Az96rjbsckRkkCgU5ITdcG4VV80o586n17FoY2PY5YjIIFAoyAkzM/75Q2cw\nviSXO+5fRn1LR9glichJUijIScnLjHLXx2bRfKCLv3jgdT2pTSTBKRTkpE0dU8DfXzWdl2ob+Pen\n1oZdjoichGjYBUhyuO6cKpZvb+ZHz21g6pgCrpxRHnZJInICdKQgg8LM+PurplM9bgRfemg5K3Y0\nh12SiJwAhYIMmoxoGj++8WyKczK47ec1NLRq4Fkk0SgUZFCV5mdy903VNLZ1cvsvltLe1RN2SSJy\nHBQKMuhOryjk36+dQc2WPfyl7ngWSShxDQUzm29ma82s1sy+epT9PmxmbmbV8axHhs4Hzyznr684\njd+/sYtv/WF12OWIyADF7eojM4sAdwHzgO3AEjN71N1XHbJfPvAFYHG8apFwfPqiiezYc4CfvLiJ\n8qJsbp4zIeySROQY4nmkcC5Q6+4b3b0T+DVw9WH2+wfgXwFNt5lkzIxvXDmdy6aV8c3HVvHECk21\nLTLcxTMUKoBt/da3B219zGwWUOXuvz/aG5nZbWZWY2Y19fV6FGQiiaQZ37v+LGZWFXHH/a/z0vqG\nsEsSkaMIbaDZzNKAO4G/PNa+7n63u1e7e3VpaWn8i5NBlZ0R4Z5PnsPE0lw+/fMaajY3hV2SiBxB\nPENhB1DVb70yaDsoHzgdeM7MNgPnA49qsDk5FeVk8Itbz2N0YRY337NEN7eJDFPxDIUlwGQzm2Bm\nGcD1wKMHN7p7s7uPdPfx7j4eWARc5e41caxJQlSan8n/fOo8CrLT+fh/L2b97pawSxKRQ8QtFNy9\nG/gc8CSwGviNu680s2+a2VXx+rkyvFUUZfPLT51HNJLGR3+6mNq61rBLEpF+zD2xbiyqrq72mhod\nTCS69btbuOEniwHnl586nymj88MuSSSpmdlSdz/m6Xnd0SyhmFyWzwOfOZ9ImnHDTxaxaue+sEsS\nERQKEqJTSvN44LbZZEbT+OhPF2nwWWQYUChIqMaPzOU3n5lNbkaUj/5kEUt0uapIqBQKErqq4hwe\n+Mz5jMzL5MafLubpVbvDLkkkZSkUZFioHJHDg7fP5rQxBXzmFzU8sGRr2CWJpCSFggwbJXmZ/OpT\n53Hh5FK+8ts3uWthLYl2dZxIolMoyLCSmxnlpzdVc83Mcr7z5Fr++uEVdPX0hl2WSMqI29TZIicq\nI5rGndfOpLwomx89t4HNDW38+MZZFOVkhF2aSNLTkYIMS2lpxpfnn8ad185g6ZY9XHPXy2yo193P\nIvGmUJBh7UOzKvnVp8+jpb2ba+56mRfWaep0kXhSKMiwVz2+mEf+bA4VRdl84p5X+f4z6/XcZ5E4\nUShIQqgqzuF3f3oB18ys4M6n13HLfUvY09YZdlkiSUehIAkjJyPKndfO4B+uOZ0/1jbywR+8xBvb\n94ZdlkhSUShIQjEzPn7+OB68fTYAH/7xH/mv5zfodJLIIFEoSEKaUVXEY5+/kEtPK+Nbf1jDx366\nmJ17D4RdlkjCUyhIwhqRm8GPb5zFtz98Jsu372X+d1/gsTd2hl2WSEJTKEhCMzOuPaeKx++4iAml\neXzuV8v4/P3LaGjtCLs0kYSkUJCkMH5kLg/dPpsvzjuVJ1bsYt6dz/Pwsu2aO0nkOCkUJGmkR9K4\n49LJ/P6Oixg/Mpe/eGA5N9+7hB0aaxAZMIWCJJ1Ty/J56PYL+Nsrp7F4YxPz7nyeuxbW0tHdE3Zp\nIsOeQkGSUiTNuHnOBJ76i/dw4aSRfOfJtbz/P15g4Zq6sEsTGdYUCpLUqopzuPuman5+y7mkpRk3\n37uEW+9dwqaGtrBLExmWFAqSEt5zailPfOE9/PUVp7FoYyNz73yerz/8JnX72sMuTWRYsUS7OqO6\nutpramrCLkMSWH1LBz98dj2/enUr0bQ0brlwPJ+5+BQKstLDLk0kbsxsqbtXH3M/hYKkqi2Nbfz7\nU+t4dPlOinLS+dSFE7jpgvEKB0lKCgWRAVqxo5k7n17Hs2vqyM+K8skLxnPznAkU5+pJb5I8FAoi\nx2nFjmbuWljLH1a8RU5GhI+dN5ab50ygvCg77NJETppCQeQErdvdwo8W1vLo8p2YGZefPppbLpzA\nrLEjwi5N5IQpFERO0ram/fxi0Rbuf3UrLe3dzKgq4pY547n89DFkRHXhniQWhYLIIGnr6Oa3r23n\nnpc3s6mhjZLcDD58diXXVlcxaVRe2OWJDIhCQWSQ9fY6z6+v54FXt7Fg9W66e51zxo/g+nPGcsUZ\nY8jOiIRdosgRDYtQMLP5wPeACPBTd/+XQ7Z/EfgU0A3UA7e4+5ajvadCQYaD+pYOfvvadh5Yso1N\nDW3kZkR4//TRXDmznAsnjSQ9otNLMryEHgpmFgHWAfOA7cAS4AZ3X9Vvn/cCi919v5l9FrjE3a87\n2vsqFGQ4cXcWb2rikWU7ePzNXexr76Y4N4MrzhjN1TMrOHvsCNLSLOwyRYZFKMwG/s7d3x+sfw3A\n3b91hP3PAn7o7nOO9r4KBRmuOrp7eGFdA//7+g4WrN5Ne1cvo/IzmTetjMumj2b2xBINUEtoBhoK\n0TjWUAFs67e+HTjvKPvfCvzhcBvM7DbgNoCxY8cOVn0igyozGmHetDLmTSujtaObBat28+TKt3h4\n2Q5+uXgreZlRLplSymXTR3PxqaUUZuvOaRl+4hkKA2ZmNwLVwMWH2+7udwN3Q+xIYQhLEzkheZlR\nrjmrgmvOqqC9q4eXaxt4etVuFqzezWNv7CKSZsysKuKiySN5z6mlzKgsIqLTTDIMxDMUdgBV/dYr\ng7Z3MLO5wNeBi91dD9aVpJOVHuHSqWVcOrWMnl5n2dY9PLe2nhfX1/O9Z9bz3QXrKciKcuHkkVw0\nuZTZE0sYV5KDmUJChl48xxSixAaaLyUWBkuAj7r7yn77nAU8BMx39/UDeV+NKUgyaWrr5OXaBl5c\nX88L6xp4K5jKe1R+JudOKOa8CcWcO6GEyaPyNGAtJyX0geagiCuA7xK7JPVn7v5PZvZNoMbdHzWz\nBcAZwK7gW7a6+1VHe0+FgiQrd2dDfSuLNzXx6qYmFm9s6guJopx0zhlfzFlji5hZVcQZFYXkazZX\nOQ7DIhTiQaEgqcLd2b7nAIs2NvLqpiaWbG5ic+N+AMxgUmkeM6uKmFEVC4opo/N1f4QckUJBJAnt\naetk+fa9vL5tL8u37WX59maa2joByIimMaUsn6lj8pk6poBpYwo4bUyBrnISQKEgkhLcnW1NB3h9\n+17e3L6X1btaWLVrX19QAFQUZTOtvICpYwqYPCqPSaPymDAyl6x0TcuRSobDfQoiEmdmxtiSHMaW\n5HDVjHIgFhR1LR2s2rWPVTv3sXrXPlbt2seC1bs5+DdgmkFVcQ6TSmMhcUoQFpNG5enJcylOoSCS\nZMyMsoIsygqyeO+UUX3tBzp72NjQSm1dKxvqWqmtjy2/sL6erp63zxiMzMtgbHEO40pyGVeSw7iS\nHMYWx5ZLcjN0qWySUyiIpIjsjAjTywuZXl74jvbunl62Nu1nQ30btXWtbG5oY0tTG4s3NvLI6zvo\nf4Y5LzMaBEYOVcU5lBdmUV6UTXlRNhVF2RTlpCs0EpxCQSTFRSNpTCzNY2JpHvOmlb1jW3tXD9v3\nHGBLYxtbGveztWk/WxrbWLu7hWfX1NHR3fuO/bPTI5QXBUFRmB0ERmx9VH4mo/KzKMiOKjiGMYWC\niBxRVnqkb6zhUO5OU1snO/e2s2PvAXYefDUfYMfedta8VUd9y7snKciMpjGqIBYQsaDIZFRB1ju/\n5mcyIidDN+yFQKEgIifEzCjJy6QkL5MzKgsPu09Hdw+7mzvY2XyAupYO6va1v+Prut0tvFTbQEt7\n97u+N5JmjMhJpzg3g+LcjNjPOricm0FxbiYleRl9bUU5GZo/ahAoFEQkbjKjkb6ro47mQGcPdS0H\nA6OD3fvaaWzroKmtk8bWTpraOlm9cx+NbZ00H+g67HukGRTlZFCUk05RdjqF2ekU5WRQGCzH1t/5\ntTA7tl1Tmr9NoSAiocvOiARXO+Uec9+unl72tHXS2BYLi8a2TppaYwHS0NZJ8/4umg90Ud/awfq6\nVpoPdB32SKS/nIxIX3AUZKeTnxklLytKflaUvMx08vuWo+RnpQdf327Ly4qSGU2O+z4UCiKSUNIj\nabGxh4KsAX9Pd08vLe3d7D0QC4y9+2NHHM0Humje39WvvYuW9i52NbfTWtdNa0c3Le1d77hk90gy\nomnvCJPcjCi5mVGyMyLkZkTIyYiSkxEJXlFyMyNkZ0TJzYgE+wTbM99uy4ikDfmgvEJBRJJeNJLG\niNwMRuRmHPf3ujsd3b1BQHTT2t5NS0dX3/LB4GjpCLYFba3t3dS1tLO/s4f9HT20dXazv7OHnt6B\nzyIRTbN3BMafzzu17ybFeFEoiIgchZmRlR4hKz3CyLzMk3ovd6ezp5cDnT20dfZwoLObtiAwDm07\n0NVDW0csSPZ3dtPW2cOInPjfba5QEBEZImZGZjRCZjRC0dHH3kOjIXcREemjUBARkT4KBRER6aNQ\nEBGRPgoFERHpo1AQEZE+CgUREemjUBARkT7mPvBbrocDM6sHtpzgt48EGgaxnESgPqcG9Tk1nEyf\nx7l76bF2SrhQOBlmVuPu1WHXMZTU59SgPqeGoeizTh+JiEgfhYKIiPRJtVC4O+wCQqA+pwb1OTXE\nvc8pNaYgIiJHl2pHCiIichQpEwpmNt/M1ppZrZl9Nex6ToaZ/czM6sxsRb+2YjN72szWB19HBO1m\nZt8P+v2Gmc3q9z2fCPZfb2afCKMvA2FmVWa20MxWmdlKM/tC0J7Mfc4ys1fNbHnQ578P2ieY2eKg\nbw+YWUbQnhms1wbbx/d7r68F7WvN7P3h9GjgzCxiZsvM7LFgPan7bGabzexNM3vdzGqCtvA+2+6e\n9C8gAmwAJgIZwHJgWth1nUR/3gPMAlb0a/s28NVg+avAvwbLVwB/AAw4H1gctBcDG4OvI4LlEWH3\n7Qj9HQPMCpbzgXXAtCTvswF5wXI6sDjoy2+A64P2/wQ+Gyz/KfCfwfL1wAPB8rTg854JTAj+HUTC\n7t8x+v5F4FfAY8F6UvcZ2AyMPKQttM92qhwpnAvUuvtGd+8Efg1cHXJNJ8zdXwCaDmm+GrgvWL4P\nuKZf+889ZhFQZGZjgPcDT7t7k7vvAZ4G5se/+uPn7rvc/bVguQVYDVSQ3H12d28NVtODlwPvAx4K\n2g/t88HfxUPApRZ74vvVwK/dvcPdNwG1xP49DEtmVgl8APhpsG4keZ+PILTPdqqEQgWwrd/69qAt\nmZS5+65g+S2gLFg+Ut8T8ncSnCI4i9hfzknd5+A0yutAHbF/5BuAve7eHezSv/6+vgXbm4ESEqzP\nwHeBLwOqNEN9AAAD2UlEQVS9wXoJyd9nB54ys6VmdlvQFtpnW89oTkLu7maWdJeVmVke8Fvgz919\nX+yPwphk7LO79wAzzawIeBg4LeSS4srMPgjUuftSM7sk7HqG0IXuvsPMRgFPm9ma/huH+rOdKkcK\nO4CqfuuVQVsy2R0cRhJ8rQvaj9T3hPqdmFk6sUD4pbv/LmhO6j4f5O57gYXAbGKnCw7+Mde//r6+\nBdsLgUYSq89zgKvMbDOxU7zvA75HcvcZd98RfK0jFv7nEuJnO1VCYQkwObiKIYPYoNSjIdc02B4F\nDl5x8Angf/u13xRctXA+0Bwclj4JXGZmI4IrGy4L2oad4DzxfwOr3f3OfpuSuc+lwRECZpYNzCM2\nlrIQ+Eiw26F9Pvi7+AjwrMdGIB8Frg+u1JkATAZeHZpeHB93/5q7V7r7eGL/Rp9194+RxH02s1wz\nyz+4TOwzuYIwP9thj7wP1YvYqP06Yudlvx52PSfZl/uBXUAXsXOHtxI7l/oMsB5YABQH+xpwV9Dv\nN4Hqfu9zC7FBuFrg5rD7dZT+XkjsvOsbwOvB64ok7/OZwLKgzyuAbwTtE4n9B1cLPAhkBu1ZwXpt\nsH1iv/f6evC7WAtcHnbfBtj/S3j76qOk7XPQt+XBa+XB/5vC/GzrjmYREemTKqePRERkABQKIiLS\nR6EgIiJ9FAoiItJHoSAiIn0UCiIBM+sJZqo8+Bq02XTNbLz1m9VWZLjSNBcibzvg7jPDLkIkTDpS\nEDmGYL77bwdz3r9qZpOC9vFm9mwwr/0zZjY2aC8zs4ct9iyE5WZ2QfBWETP7icWej/BUcKcyZnaH\nxZ4V8YaZ/TqkbooACgWR/rIPOX10Xb9tze5+BvBDYjN5AvwAuM/dzwR+CXw/aP8+8Ly7zyD23IuV\nQftk4C53nw7sBT4ctH8VOCt4n9vj1TmRgdAdzSIBM2t197zDtG8G3ufuG4OJ+d5y9xIzawDGuHtX\n0L7L3UeaWT1Q6e4d/d5jPLH57icH618B0t39H83sCaAVeAR4xN9+joLIkNORgsjA+BGWj0dHv+Ue\n3h7T+wCx+WxmAUv6zQgqMuQUCiIDc12/r68Ey38kNpsnwMeAF4PlZ4DPQt+DcgqP9KZmlgZUuftC\n4CvEpn9+19GKyFDRXyQib8sOnnR20BPufvCy1BFm9gaxv/ZvCNo+D9xjZl8C6oGbg/YvAHeb2a3E\njgg+S2xW28OJAP8TBIcB3/fY8xNEQqExBZFjCMYUqt29IexaROJNp49ERKSPjhRERKSPjhRERKSP\nQkFERPooFEREpI9CQURE+igURESkj0JBRET6/H8VIKXQ04rKzQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10afe64d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(6,4))\n",
"plt.plot(losses)\n",
"plt.xlabel(\"Epochs\")\n",
"plt.ylabel(\"Loss\")"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYUAAAEKCAYAAAD9xUlFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzt3XucHFWd9/HPr3tumSTkToBMQgaNCyHKbYgI6KIYSVCD\nwCLwyHpZJbJuWHbXZQkuREQfV2D1cXk2XqKLizci4KMEjYJg2OyqQIZwSUKADBDIJIEMuU+SuXTX\n7/mjaoZmyKWTTHVNdX/fr1e/uup0TfWvembq1+ecqnPM3REREQHIJB2AiIgMHEoKIiLSS0lBRER6\nKSmIiEgvJQUREemlpCAiIr1iSwpmdpuZbTSzFXt53czsVjNrMbOnzOzkuGIREZHixFlT+E9g+j5e\nnwFMih6zgG/HGIuIiBQhtqTg7kuAzfvY5Dzghx56GBhuZkfGFY+IiOxfVYLvPQ5YW7DeGpVt6Luh\nmc0irE0wePDgU4499tiSBCgiUi4ee+yx19x9zP62SzIpFM3d5wPzAZqamry5uTnhiERE0sXMXipm\nuySvPloHjC9Yb4jKREQkIUkmhYXAx6OrkE4Dtrn7m5qORESkdGJrPjKzO4CzgNFm1gp8EagGcPfv\nAIuAc4EWYBfwqbhiERGR4sSWFNz90v287sDfxPX+IiJy4HRHs4iI9FJSKFN3PPoy9618JekwRCRl\nUnFJqhy4B55+FYBzjj8i4UhEJE1UUxARkV6qKZSbrp10dHVTE+ymKzOI9s5cYqFkDOpr9CfW39yd\nnV35pMOQBNRkM9RUxftdXv+x5aT1MToe/BeefXUHn3W4/7C/4Ko7kg3p0+9u5PS3jE42iDLzmxWv\n8PPHWpMOQxJw2buO5r1/dnis76GkUE52ttGVC/jj4GlMzz/EWQ3OyW+ZkFg4dzz6Mq+1dyX2/uXq\n1e0dDKrJ8pETxyUdipTYW8cMif09lBTKiedx4KlBU/lE1VIaxw+FyWMTC+fO5rV054LE3r9c5fLO\nkNoq3p/g71bKl5JCuQjyBOseZ9vuboL6LJbJwrrH4O0XQTaZX/PYYCP5l9fyrD+XyPuXm3ztcDqH\nNfJaeydVWUs6HClTSgrlYsOT7FizjM07u/DBRra2HrathbWPwMQzEgnpoi3fI3h1F7uVE/qFY3xn\nzPXkMjUce+TQpMORMqWkUC66dpIPHIC/P2cyNfVzYdHV0LUzmXiCgONGV7G9YSYdR5+VTAxlpHZD\nM/WrF3LdtIkEdcMZM7Q26ZCkTCkplIt8F06YFA4fWge11b3lScVTnc0wamwDHHN8MjGUlTZ4qYr6\nYdUwZHDSwUgZU1IoB507YPldeJgTyGYzr/cjPP4j6Nx+4Psc/TZoaCp++3w3rLoXch3RepSMsjUH\n/t7yZpkoya/8BdQOhSNPhLGTk41JypKSQjlY/zjs3gLApqqxHJMxyGRff/2ZXx/Y/oI8DB51YElh\nUws89TPIFPxJVdXBsPF7/xkp3mFHQXU9vLgk/P1saoGxc5OOSsqQkkI5yIXfylecehM/fXI77zQD\nK7g65QNfgZGNxe/v0e/B2kcPMIbO8PnsL8KYtx3Yz8r+jWyEi34QLi/+anJ9RVL2NPZROYiaanIW\n1g6y1udyxQNtwsnWHHhfRL47+tnqA/s5OXCZ6tc/b5F+pppC2rnDUwsAWL0pPJFn+qb6A04K1eE3\n/999sfif6em3UFKIX7Yadqw/sN+PlIfjPnxgzboHQUkh7XKd4aO6nsDCE3JNNsoKp14OG1dC/cgD\n2+e4U2DzC+AHcDfyoBEwfAIM0V22sTv6jIO7eECkCEoKadfTzPOOi8mthaNHDcZ6mo8mvT98HKgx\nfwbvu67/YpT+Nf7U8CESg1j7FMxsupk9a2YtZjZnD68fbWYPmtlTZvaQmTXEGU9ZKmjL784HVGv4\nAxE5BLElBTPLAvOAGcBk4FIz63th9b8CP3T3dwA3Av8SVzxlKZ+DX/0dAJs7jVUbtpPJKCmIyMGL\ns6YwFWhx9xfcvQtYAJzXZ5vJwO+j5cV7eF32pXtX2HxUP5r19ccBcNL44QkHJSJpFmdSGAesLVhv\njcoKPQlcEC2fDww1s1ExxlRegmhWtSnn05kJx8I57sjDEgxIRNIu6fsU/hH4czN7HPhzYB3wpnkG\nzWyWmTWbWXNbW1upYxy4epJCpop1W8PhJaqzSf9KRSTN4jyDrAMKxzhoiMp6uft6d7/A3U8C/jkq\n29p3R+4+392b3L1pzJgxMYacMlFS2JUz7nk8/Gjra7P7+gkRkX2KMyksBSaZWaOZ1QCXAAsLNzCz\n0WbWE8O1wG0xxlN+oiuPdufDj3Da5LEcVqebx0Tk4MWWFNw9B8wG7gNWAXe6+0ozu9HMZkabnQU8\na2bPAWOB/x1XPGUpqinkPPw1Thob//ytIlLeYr15zd0XAYv6lM0tWL4buDvOGMra1pcA2NYZ3nms\n/gQROVQ6i6TZ2qUAvLh7EAAj6jV3gYgcGiWFNPMAhk9gZ90RAIwfWZ9wQCKSdkoKaRZ0Q3U93fmA\n2mr9KkXk0OlMkladO+DVlZCtZumaLWTfNF62iMiB05kkrV57LnweMpbOXID3TNAsInIIlBTSKh/d\nzTzpA+SDgPdM0k19InLolBTSKh/NiVxVS1fOqdKQ2SLSD5QU0mrT83TlA778m9W4u+5REJF+oZnX\n0ipTRWd3wJpcLSdPHME7Gw9wyk0RkT3Q18u0yneRrx4MZkyfcgSHH1aXdEQiUgaUFNKqezd5C0dE\nrdblqCLST3Q2SavXnuu9DDWrTmYR6SfqU0ir2qHkst2QhyrNyywi/UQ1hbTygM668N4EJQUR6S9K\nCmkV5NnVHTYfValPQUT6ic4maRXk2B7No1BXo1+jiPQP9SmklQdYJsvQmipqqzQvs4j0D33FTCvP\nkyfLoBolBBHpP0oKadTZDu0bCdzImDqZRaT/KCmk0asrAdhdNZSsrjwSkX4Ua1Iws+lm9qyZtZjZ\nnD28PsHMFpvZ42b2lJmdG2c8ZSMIh81+adhU1RREpF/FlhTMLAvMA2YAk4FLzWxyn82uA+5095OA\nS4BvxRVPWQm6Ach5RjUFEelXcdYUpgIt7v6Cu3cBC4Dz+mzjwGHR8jBgfYzxlI98jvbOHCtf2Yly\ngoj0pziTwjhgbcF6a1RW6AbgMjNrBRYBV+5pR2Y2y8yazay5ra0tjljTJcixszNHYFne8zbNuCYi\n/SfpjuZLgf909wbgXOBHZvammNx9vrs3uXvTmDE6CRLkCNwJrIoz3zo66WhEpIzEmRTWAeML1hui\nskKfBu4EcPc/AXWAznL7E3TjDpatxtTRLCL9KM6ksBSYZGaNZlZD2JG8sM82LwNnA5jZcYRJQe1D\n+7PmD+zqzuOmG9dEpH/FlhTcPQfMBu4DVhFeZbTSzG40s5nRZp8HLjezJ4E7gE96zyQBsne1Q6Cq\nFn9zS5uIyCGJdewjd19E2IFcWDa3YPlp4Iw4YyhLQZ7NdRMZqyk4RaSf6atmGgV58mQ0j4KI9Dsl\nhTTyPHnXNJwi0v+UFNLIA3JkVVMQkX6npJBGQZ68ZzTjmoj0O51VUmZXV45X1q1hV3egmoKI9DvN\nvJYyy1u3UbWtE6p3MG7EoKTDEZEyo6SQMp25gCrgve+aypCTG5IOR0TKjJqPUqY7lyfrObLVNUmH\nIiJlSEkhZTZu3gJAtro24UhEpBwpKaTMkPw2AKp15ZGIxEBnlpTJ5fNUZQw77KikQxGRMqSkkDL5\nfD6clzmjEVJFpP8pKaTMqvXbwADNoyAiMVBSSJm6KgvnZdaw2SISA51ZUiYf5KivqVJSEJFY6MyS\nIu7Ozt3dYU0BNR+JSP9TUkiRZS9vwQjCeZlVUxCRGOjMkiLbd+cwnNFDapQURCQWOrOkSGcuIONB\nOGS2LkkVkRjEmhTMbLqZPWtmLWY2Zw+v/x8zeyJ6PGdmW+OMJ+02bNtNjXeEV6OqpiAiMYhtlFQz\nywLzgGlAK7DUzBa6+9M927j73xdsfyVwUlzxlIMtu7oZmt8WJoUqjX0kIv0vzq+bU4EWd3/B3buA\nBcB5+9j+UuCOGONJvYzBqCE1GAaDxyQdjoiUoTiTwjhgbcF6a1T2JmZ2NNAI/H4vr88ys2Yza25r\na+v3QNMiHzi1lg9XMtXJBiMiZWmgNExfAtzt7vk9veju8929yd2bxoyp3G/IgTvDchvDFXU0i0gM\n4kwK64DxBesNUdmeXIKajvYrH4BbVEPQ2EciEoM4k8JSYJKZNZpZDeGJf2HfjczsWGAE8KcYYykL\ngTtV5GHI2KRDEZEytd+kYGZXmtmIA92xu+eA2cB9wCrgTndfaWY3mtnMgk0vARa4ux/oe1SafOBU\n0Q1Z9SeISDyKuSR1LOHlpMuA24D7ij2Bu/siYFGfsrl91m8oLtTK9h//8yJrN+9i3I7lcMTxSYcj\nImVqvzUFd78OmAT8B/BJYLWZfdXM3hJzbFLgibVbGTO0llFDalRTEJHYFNWnENUMXokeOcI+gLvN\n7OYYY5MC3bmAExqGcVhdNRzxjqTDEZEytd/mIzO7Cvg48BrwfeBqd+82swywGvineEOUzlye7nxA\nbSZqtcvEdiO6iFS4Ys4uI4EL3P2lwkJ3D8zsQ/GEJT3cnWvufgqAQVVRUlDzkYjEpJjmo98Am3tW\nzOwwM3sngLuviiswCXXnnR0dOcYOq+P0xmFhoWoKIhKTYpLCt4H2gvX2qExKIBcEAJz1tjEMqVLz\nkYjEq5ikYIWXoLp7QIyjq8obvbajC4Caqgzkw2UlBRGJSzFJ4QUz+1szq44eVwEvxB2YhBY+GY4M\nctigatgcfewa4kJEYlJMUrgCOJ1w3KJW4J3ArDiDktflAxhcW8VJ44dDkAsLR/9ZskGJSNnabzuE\nu28kHIpCEpALAsYeVouZvd58lK1JNigRKVvF3KdQB3waOB6o6yl397+KMS6J5AKnOhPA8rthYzRp\nnS5JFZGYFNN89CPgCOAc4L8Ih8DeEWdQ8rp84IzuWg/L74LXnoPhE6C6PumwRKRMFXMZy1vd/SIz\nO8/dbzeznwL/HXdgEsrlnVqivoSzvgBjJycbkIiUtWJqCt3R81YzmwIMAw6PLyQplAsCqi1KCmo2\nEpGYFVNTmB/Np3Ad4SQ5Q4DrY41KAHi+rZ0jWu9jSvWK8FNXUhCRmO0zKUSD3m139y3AEuCYkkQl\nAKzasJ23dTzF2KHA0afD0KOSDklEytw+m4+iu5c1CmpCunIBVeQYdcxJcMZVUKVLUUUkXsX0KTxg\nZv9oZuPNbGTPI/bIhO58QA3dui9BREqmmD6Fi6Pnvykoc9SUFLsly1/kimCbhrUQkZIpZjrOxj08\nikoIZjbdzJ41sxYzm7OXbT5qZk+b2crocleJDA52UFuVhaFHJh2KiFSIYu5o/vieyt39h/v5uSww\nD5hGOGbSUjNb6O5PF2wzCbgWOMPdt5iZLnUtkCFgaF2VkoKIlEwxzUenFizXAWcDy4B9JgVgKtDi\n7i8AmNkC4Dzg6YJtLgfmRVc39YyzFIvNO7t4rb2Tt44ZQiYz8JtjgsBx93DMo0w26XBEpEIUMyDe\nlYXrZjYcWFDEvscBawvWe0ZYLfS2aJ9/ALLADe7+2yL2fcAefXETdzW3Mu9jJ1OXgpNsLnAyBITp\na+AnMREpDwczW8tOoLEf338ScBbhmEpLzOzt7r61cCMzm0U0XPeECRP66a0HtnzgGFFNQR3NIlIi\nxfQp3Et4tRGEHdOTgTuL2Pc6YHzBekNUVqgVeMTdu4EXzew5wiSxtHAjd58PzAdoampyKkDenYxH\nNQUr5sphEZFDV0xN4V8LlnPAS+7eWsTPLQUmmVkjYTK4BPhffbb5JXAp8AMzG03YnKRZ3YBcPpyb\n2QwlBREpmWKSwsvABnfvADCzQWY20d3X7OuH3D1nZrOB+wj7C25z95VmdiPQ7O4Lo9c+YGZPA3ng\nanffdAjHsw/paoLJ9/QpKCmISAkVkxTuIpyOs0c+Kjt1z5u/zt0XAYv6lM0tWHbgH6KHFOjtU8CU\nFESkZIo521S5e1fPSrSscRdilgsc84CMagoiUkLFnG3azGxmz4qZnQe8Fl9IAtDemePw3PqwU0FJ\nQURKpJjmoyuAn5jZv0frrcAe73KW/tOdDxgU7Ax7Qg7THc0iUhrF3Lz2PHCamQ2J1ttjj0rI5Z0s\nebJ1Q6B2aNLhiEiF2G+7hJl91cyGu3u7u7eb2Qgz+0opgouDp+Quh1zgZF3DZotIaRXTWD2j8A7j\naJyic+MLKR5puyk4HzgNXS+SScGQHCJSPopJClkzq+1ZMbNBQO0+tpd+kAsCOjODUpfMRCTdiulo\n/gnwoJn9gPAOsE8Ct8cZlER9Cp7DRx6bdCgiUkGK6Wi+ycyeBN5POAbSfcDRcQcWFycdnQpduYA6\n78Cy1UmHIiIVpNgL4F8lTAgXAe8DVsUWUUzS1gqzcv12huS3UWXpSGIiUh72WlMws7cRDlZ3KeHN\naj8DzN3fW6LYKtrg2iyBZamuqUs6FBGpIPtqPnoG+G/gQ+7eAmBmf1+SqITAnZqqKqgblnQoIlJB\n9tV8dAGwAVhsZt8zs7NJXytMagUORpC+a2lFJNX2mhTc/ZfufglwLLAY+DvgcDP7tpl9oFQBVqrA\nnQyucY9EpKT2e8Zx953u/lN3/zDh7GmPA9fEHlmFcwdTUhCREjugM467b3H3+e5+dlwBxS0tw1wE\n+WgqTrXYiUgJVczXUEtZ23zQk7xSFreIpFvFJIW0cc9HU3EqKYhI6VRcUkhJ61HBnddKCiJSOhWT\nFFJ3ag2CqKZQMb8iERkAYj3jmNl0M3vWzFrMbM4eXv+kmbWZ2RPR4zNxxpMm7kG4oOYjESmhYkZJ\nPShmlgXmAdMIp/BcamYL3f3pPpv+zN1nxxVHWgXuGJqfWURKK84zzlSgxd1fcPcuYAFwXozvV1Y8\nHzUfpa/hS0RSLM6kMA5YW7DeGpX1daGZPWVmd5vZ+D3tyMxmmVmzmTW3tbXFEeuAk+u5T0HNRyJS\nQkm3TdwLTHT3dwC/Yy+T90Q3zDW5e9OYMWNKGmBSWje3R9cfKSmISOnEmRTWAYXf/Buisl7uvsnd\nO6PV7wOnxBhPqlRlnIwZZGLr9hEReZM4k8JSYJKZNZpZDXAJsLBwAzM7smB1JiWYvMdTM85FQF11\nRh3NIlJSsX0Ndfecmc0mnL4zC9zm7ivN7Eag2d0XAn9rZjOBHLCZcP7nWKSpaT6XD8Dz4dAcGSUF\nESmdWNsm3H0RsKhP2dyC5WuBa+OMIY1ea+8i40FYq7Fs0uGISAWpuK+haWg86szlyRAwqKYKMkoK\nIlI6FZMUUtV8FDgZ8uEvRzUFESmhikkKaZLLOxkPoj4FJQURKR0lhQEoFwRk6BkQT0lBREpHSWEA\nyuUdIyBj6OojESmpijnjWIruDM4FUfMRppqCiJRUxSSFNHnu1R3UB+2aT0FESq7izjhpuKG5szsP\nQE1VRsNciEhJVVxSSIO8w7C6bDj2Uc3gpMMRkQqipDAAuTtVmahKo+YjESkhnXEGoHzgZExJQURK\nr/LOOCnoU8i7k+0JNE23YotI6lVOUkjRuTUICpOCLkkVkdKpnKSQIq9s71DzkYgkouLOOD7A249e\n2dbBhq0dBEEQFqj5SERKqGKSQlpOrds7ugE49ehhYYGSgoiUUMUkhbTozoc1hOF10U1raj4SkRLS\nGWeAWfbSFgBqdr8SFigpiEgJ6YwzgLg7Dz3bBsCQrk1hYVVdghGJSKWJNSmY2XQze9bMWsxszj62\nu9DM3Mya4oxnoOvOh53gM088irraGhjWANnqhKMSkUoSW1IwsywwD5gBTAYuNbPJe9huKHAV8Ehc\nsaRFV9SfUF9TBR5AtibhiESk0sQ5BOdUoMXdXwAwswXAecDTfbb7MnATcHWMsfT69kPPM7x+YJ5s\nezqZq7MWJgX1J4hIicWZFMYBawvWW4F3Fm5gZicD493912a216RgZrOAWQATJkw4qGAaRw9m/Mh6\n2jtz7OzKHdQ+SmH8yHqOGT0E1gW6HFVESi6xwfrNLAN8A/jk/rZ19/nAfICmpqaDuvvs6FGDuWHm\n8Qfzo8nwgPTcXSEi5SLO9ol1wPiC9YaorMdQYArwkJmtAU4DFlZ6Z3MvDyCjcY9EpLTiTApLgUlm\n1mhmNcAlwMKeF919m7uPdveJ7j4ReBiY6e7NMcaUHupTEJEExHbWcfccMBu4D1gF3OnuK83sRjOb\nGdf7lg13JQURKblY+xTcfRGwqE/Z3L1se1acsaSO+hREJAH6KjpQqaYgIgnQWWeg8rySgoiUnM46\nA5UHkNGvR0RKS2edgSrIaypOESm5xG5ek/3YuRFGHJ10FCIl093dTWtrKx0dHUmHkmp1dXU0NDRQ\nXX1wg2kqKQxU+W7o3JF0FCIl09raytChQ5k4cSKmIV4OiruzadMmWltbaWxsPKh9qPloIPJoJI9R\nk5KNQ6SEOjo6GDVqlBLCITAzRo0adUi1LSWFgSjIh8+aS0EqjBLCoTvUz1BJYSDycAhtXZIqIqWm\ns85A5FFNQQPiiZTM1q1b+da3vnVQP3vuueeydevWfo4oGUoKA1EQzfegS1JFSmZfSSGX2/ccLIsW\nLWL48OFxhFVyuvpoIOppPlJNQSrUHY++zMubd/XrPieMrOfSqXufpGvOnDk8//zznHjiiUybNo0P\nfvCDXH/99YwYMYJnnnmG5557jo985COsXbuWjo4OrrrqKmbNmgXAxIkTaW5upr29nRkzZnDmmWfy\nxz/+kXHjxnHPPfcwaNCgN7zXvffey1e+8hW6uroYNWoUP/nJTxg7dizt7e1ceeWVNDc3Y2Z88Ytf\n5MILL+S3v/0tX/jCF8jn84wePZoHH3ywXz+bQkoKA1HPpaiqKYiUzNe+9jVWrFjBE088AcBDDz3E\nsmXLWLFiRe/lnbfddhsjR45k9+7dnHrqqVx44YWMGjXqDftZvXo1d9xxB9/73vf46Ec/ys9//nMu\nu+yyN2xz5pln8vDDD2NmfP/73+fmm2/m61//Ol/+8pcZNmwYy5cvB2DLli20tbVx+eWXs2TJEhob\nG9m8eXOsn4OSwkDUsT181tVHUqH29Y2+lKZOnfqG6/1vvfVWfvGLXwCwdu1aVq9e/aak0NjYyIkn\nngjAKaecwpo1a96039bWVi6++GI2bNhAV1dX73s88MADLFiwoHe7ESNGcO+99/Ke97ynd5uRI0f2\n6zH2pT6FgainT2HoEcnGIVLhBg8e3Lv80EMP8cADD/CnP/2JJ598kpNOOmmP9wPU1tb2Lmez2T32\nR1x55ZXMnj2b5cuX893vfndA3cWtpDAQBd3hc0YVOZFSGTp0KDt27H0UgW3btjFixAjq6+t55pln\nePjhhw/6vbZt28a4ceMAuP3223vLp02bxrx583rXt2zZwmmnncaSJUt48cUXAWJvPlJSGIgCXZIq\nUmqjRo3ijDPOYMqUKVx99dVven369OnkcjmOO+445syZw2mnnXbQ73XDDTdw0UUXccoppzB69Oje\n8uuuu44tW7YwZcoUTjjhBBYvXsyYMWOYP38+F1xwASeccAIXX3wxAM3NzXzmM5856Bj2xrxnSIWU\naGpq8ubmMp/G+aU/wh/+DT74dRjWkHQ0IiWxatUqjjvuuKTDKAt7+izN7DF3b9rfz6qmMBD19Cmo\n+UhESizWpGBm083sWTNrMbM5e3j9CjNbbmZPmNn/mNnkOONJjW2t4XNGVx+JSGnFlhTMLAvMA2YA\nk4FL93DS/6m7v93dTwRuBr4RVzyp8vQ94XN1XbJxiEjFibOmMBVocfcX3L0LWACcV7iBu28vWB0M\npKuDIw49fTwT3gU1g/e9rYhIP4uz0XocsLZgvRV4Z9+NzOxvgH8AaoD37WlHZjYLmAUwYcLAuKkl\nNj39CZp1TUQSkHhHs7vPc/e3ANcA1+1lm/nu3uTuTWPGjCltgKW2Y0P4nK1JNg4RqUhxJoV1wPiC\n9YaobG8WAB+JMZ50WPOH8Pmwo5KNQ6TCHMrQ2QDf/OY32bWrfwfxS0KcSWEpMMnMGs2sBrgEWFi4\ngZkVzjf5QWB1jPGkQ9Ad1hKOOinpSEQqipJCKLY+BXfPmdls4D4gC9zm7ivN7Eag2d0XArPN7P1A\nN7AF+ERc8aRGvguqave/nUg5e+w/Ycua/t3niIlwyif3+nLfobNvueUWbrnlFu688046Ozs5//zz\n+dKXvsTOnTv56Ec/SmtrK/l8nuuvv55XX32V9evX8973vpfRo0ezePHiN+z7xhtv5N5772X37t2c\nfvrpfPe738XMaGlp4YorrqCtrY1sNstdd93FW97yFm666SZ+/OMfk8lkmDFjBl/72tf697PYh1jv\njnL3RcCiPmVzC5avivP9UyfXBat/B4NGJB2JSMXpO3T2/fffz+rVq3n00Udxd2bOnMmSJUtoa2vj\nqKOO4te//jUQjmM0bNgwvvGNb7B48eI3DFvRY/bs2cydG576/vIv/5Jf/epXfPjDH+ZjH/sYc+bM\n4fzzz6ejo4MgCPjNb37DPffcwyOPPEJ9fX3sYx31pVtmB5Lt0U1rQw5PNg6RpO3jG32p3H///dx/\n//2cdFLYlNve3s7q1at597vfzec//3muueYaPvShD/Hud797v/tavHgxN998M7t27WLz5s0cf/zx\nnHXWWaxbt47zzz8fgLq68L6kBx54gE996lPU19cD8Q+V3ZeSwkCSj0ZHPf6CZOMQEdyda6+9ls9+\n9rNvem3ZsmUsWrSI6667jrPPPru3FrAnHR0dfO5zn6O5uZnx48dzww03DKihsvtK/JJUKdCTFHQ5\nqkjJ9R06+5xzzuG2226jvb0dgHXr1rFx40bWr19PfX09l112GVdffTXLli3b48/36EkAo0ePpr29\nnbvvvrt3+4aGBn75y18C0NnZya5du5g2bRo/+MEPejut1XwUl2cWwVM/SzqKffNoyGx1NIuUXOHQ\n2TNmzOCWW25h1apVvOtd7wJgyJAh/PjHP6alpYWrr76aTCZDdXU13/72twGYNWsW06dP56ijjnpD\nR/Pw4cP3WIpvAAAHEUlEQVS5/PLLmTJlCkcccQSnnnpq72s/+tGP+OxnP8vcuXOprq7mrrvuYvr0\n6TzxxBM0NTVRU1PDueeey1e/+lW+853vAHDFFVfE+jlUztDZr6yAdY/1f0D9rWYwTP4IZCsnX4uA\nhs7uT4cydHblnHmOmBI+RERkr9SnICIivZQURGTASFtz9kB0qJ+hkoKIDAh1dXVs2rRJieEQuDub\nNm3qvefhYFROn4KIDGgNDQ20trbS1taWdCipVldXR0PDwc/trqQgIgNCdXU1jY2NSYdR8dR8JCIi\nvZQURESkl5KCiIj0St0dzWbWBrx0kD8+GnitH8NJAx1zZdAxV4ZDOeaj3X2/8xmnLikcCjNrLuY2\n73KiY64MOubKUIpjVvORiIj0UlIQEZFelZYU5icdQAJ0zJVBx1wZYj/miupTEBGRfau0moKIiOyD\nkoKIiPSqmKRgZtPN7FkzazGzOUnHcyjM7DYz22hmKwrKRprZ78xsdfQ8Iio3M7s1Ou6nzOzkgp/5\nRLT9ajP7RBLHUgwzG29mi83saTNbaWZXReXlfMx1ZvaomT0ZHfOXovJGM3skOrafmVlNVF4brbdE\nr08s2Ne1UfmzZnZOMkdUPDPLmtnjZvaraL2sj9nM1pjZcjN7wsyao7Lk/rbdvewfQBZ4HjgGqAGe\nBCYnHdchHM97gJOBFQVlNwNzouU5wE3R8rnAbwADTgMeicpHAi9EzyOi5RFJH9tejvdI4ORoeSjw\nHDC5zI/ZgCHRcjXwSHQsdwKXROXfAf46Wv4c8J1o+RLgZ9Hy5OjvvRZojP4Pskkf336O/R+AnwK/\nitbL+piBNcDoPmWJ/W1XSk1hKtDi7i+4exewADgv4ZgOmrsvATb3KT4PuD1avh34SEH5Dz30MDDc\nzI4EzgF+5+6b3X0L8DtgevzRHzh33+Duy6LlHcAqYBzlfczu7u3RanX0cOB9wN1Red9j7vks7gbO\nNjOLyhe4e6e7vwi0EP4/DEhm1gB8EPh+tG6U+THvRWJ/25WSFMYBawvWW6OycjLW3TdEy68AY6Pl\nvR17Kj+TqIngJMJvzmV9zFEzyhPARsJ/8ueBre6eizYpjL/32KLXtwGjSNkxA98E/gkIovVRlP8x\nO3C/mT1mZrOissT+tjWfQhlydzezsrvW2MyGAD8H/s7dt4dfCkPleMzungdONLPhwC+AYxMOKVZm\n9iFgo7s/ZmZnJR1PCZ3p7uvM7HDgd2b2TOGLpf7brpSawjpgfMF6Q1RWTl6NqpFEzxuj8r0de6o+\nEzOrJkwIP3H3/xcVl/Ux93D3rcBi4F2EzQU9X+YK4+89tuj1YcAm0nXMZwAzzWwNYRPv+4B/o7yP\nGXdfFz1vJEz+U0nwb7tSksJSYFJ0FUMNYafUwoRj6m8LgZ4rDj4B3FNQ/vHoqoXTgG1RtfQ+4ANm\nNiK6suEDUdmAE7UT/wewyt2/UfBSOR/zmKiGgJkNAqYR9qUsBv4i2qzvMfd8Fn8B/N7DHsiFwCXR\nlTqNwCTg0dIcxYFx92vdvcHdJxL+j/7e3T9GGR+zmQ02s6E9y4R/kytI8m876Z73Uj0Ie+2fI2yX\n/eek4znEY7kD2AB0E7YdfpqwLfVBYDXwADAy2taAedFxLweaCvbzV4SdcC3Ap5I+rn0c75mE7a5P\nAU9Ej3PL/JjfATweHfMKYG5UfgzhCa4FuAuojcrrovWW6PVjCvb1z9Fn8SwwI+ljK/L4z+L1q4/K\n9pijY3syeqzsOTcl+betYS5ERKRXpTQfiYhIEZQURESkl5KCiIj0UlIQEZFeSgoiItJLSUEkYmb5\naKTKnke/jaZrZhOtYFRbkYFKw1yIvG63u5+YdBAiSVJNQWQ/ovHub47GvH/UzN4alU80s99H49o/\naGYTovKxZvYLC+dCeNLMTo92lTWz71k4P8L90Z3KmNnfWjhXxFNmtiChwxQBlBRECg3q03x0ccFr\n29z97cC/E47kCfB/gdvd/R3AT4Bbo/Jbgf9y9xMI571YGZVPAua5+/HAVuDCqHwOcFK0nyviOjiR\nYuiOZpGImbW7+5A9lK8B3ufuL0QD873i7qPM7DXgSHfvjso3uPtoM2sDGty9s2AfEwnHu58UrV8D\nVLv7V8zst0A78Evgl/76PAoiJaeagkhxfC/LB6KzYDnP6316HyQcz+ZkYGnBiKAiJaekIFKciwue\n/xQt/5FwNE+AjwH/HS0/CPw19E6UM2xvOzWzDDDe3RcD1xAO//ym2opIqegbicjrBkUznfX4rbv3\nXJY6wsyeIvy2f2lUdiXwAzO7GmgDPhWVXwXMN7NPE9YI/ppwVNs9yQI/jhKHAbd6OH+CSCLUpyCy\nH1GfQpO7v5Z0LCJxU/ORiIj0Uk1BRER6qaYgIiK9lBRERKSXkoKIiPRSUhARkV5KCiIi0uv/Axan\np41b8yAVAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b3367d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(6,4))\n",
"plt.plot(train_acc, label=\"train acc.\", alpha=.7)\n",
"plt.plot(test_acc, label=\"test acc.\", alpha=.7)\n",
"plt.ylim(None, 1.)\n",
"plt.legend()\n",
"plt.xlabel(\"Epochs\")\n",
"plt.ylabel(\"Accuracy\");"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.96, 0.92\n"
]
}
],
"source": [
"# accuracy\n",
"print(\"{:0.2f}, {:0.2f}\".format(train_acc[-1], test_acc[-1]))"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAsgAAAFgCAYAAACmDI9oAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nd5DNzMzMzOr8D3msw1bjnX/ZAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b3c0550>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"xx, yy = np.meshgrid(np.linspace(0, 5, 200),\n",
" np.linspace(0, 3, 200))\n",
"hh = np.maximum(0, (np.c_[xx.flatten(), yy.flatten()]).dot(W1) + b1)\n",
"ff = hh.dot(W2) + b2\n",
"test = np.argmax(ff, axis=1)\n",
"\n",
"plt.figure(figsize=(10,5))\n",
"plt.subplot(121)\n",
"plt.contourf(xx, yy, test.reshape(200, 200),\n",
"cmap=mpl.cm.Spectral)\n",
"plt.scatter(x_train[:, 0], x_train[:, 1], c=y_train, cmap=mpl.cm.Spectral, edgecolor=\"k\", alpha=.75)\n",
"plt.xlim(1.5, 5)\n",
"plt.ylim(0, 3)\n",
"plt.title(\"Decision hyperplane (on training set)\")\n",
"plt.xlabel(\"X1 train\")\n",
"plt.ylabel(\"X2 train\")\n",
"\n",
"plt.subplot(122)\n",
"plt.contourf(xx, yy, test.reshape(200, 200),\n",
"cmap=mpl.cm.Spectral)\n",
"plt.scatter(x_test[:, 0], x_test[:, 1], c=y_test, cmap=mpl.cm.Spectral, edgecolor=\"k\", alpha=.75)\n",
"plt.xlim(1.5, 5)\n",
"plt.ylim(0, 3)\n",
"plt.title(\"Decision hyperplane (on test set)\")\n",
"plt.xlabel(\"X1 test\")\n",
"plt.ylabel(\"X2 test\")\n",
"plt.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Spiral data"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x1147c8c50>"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAU4AAAEyCAYAAACVsznTAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b773090>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"N = 100 # number of samples per class\n",
"D = 2 # data dimension\n",
"K = 3 # number of classes\n",
"\n",
"x = np.zeros((N*K, D))\n",
"y = np.zeros(N*K, dtype=np.uint8)\n",
"\n",
"np.random.seed(0)\n",
"for j in range(K):\n",
" ix = range(j*N, (j+1)*N)\n",
" \n",
" # set radius and theta for polar coordinates\n",
" r = np.linspace(0, 1, N)\n",
" t = np.linspace(j*4, (j+1)*4, N) + 0.55 * np.random.randn(N)\n",
" \n",
" # set coordinate of each data points\n",
" x[ix] = np.c_[r*np.cos(t), r*np.sin(t)]\n",
" for ixs in ix:\n",
" y[ixs] = j\n",
"\n",
"plt.figure(figsize=(5,5))\n",
"plt.scatter(x[:, 0], x[:, 1], c=y, cmap=mpl.cm.Spectral)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# shuffle data\n",
"np.random.seed(0)\n",
"np.random.shuffle(x)\n",
"np.random.seed(0)\n",
"np.random.shuffle(y)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"split = 150\n",
"x_train, x_test = x[:split, :], x[split:, :]\n",
"y_train, y_test = y[:split], y[split:]"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAjgAAAEYCAYAAABRMYxdAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b6846d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(8,4))\n",
"plt.subplot(121)\n",
"plt.scatter(x_train[:, 0], x_train[:, 1], c=y_train, cmap=mpl.cm.Spectral)\n",
"plt.title(\"Training set\")\n",
"\n",
"plt.subplot(122)\n",
"plt.scatter(x_test[:, 0], x_test[:, 1], c=y_test, cmap=mpl.cm.Spectral)\n",
"plt.title(\"Test set\")\n",
"plt.tight_layout();"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0: loss=1.09865, train_acc=0.33, test_acc=0.33\n",
"1000: loss=0.87375, train_acc=0.51, test_acc=0.55\n",
"2000: loss=0.86398, train_acc=0.53, test_acc=0.58\n",
"3000: loss=0.85856, train_acc=0.58, test_acc=0.59\n",
"4000: loss=0.84704, train_acc=0.65, test_acc=0.63\n",
"5000: loss=0.82941, train_acc=0.71, test_acc=0.67\n",
"6000: loss=0.82401, train_acc=0.74, test_acc=0.67\n",
"7000: loss=0.82078, train_acc=0.74, test_acc=0.68\n",
"8000: loss=0.81682, train_acc=0.75, test_acc=0.70\n",
"9000: loss=0.81470, train_acc=0.77, test_acc=0.71\n",
"10000: loss=0.81338, train_acc=0.77, test_acc=0.71\n",
"11000: loss=0.81232, train_acc=0.76, test_acc=0.72\n",
"12000: loss=0.81127, train_acc=0.79, test_acc=0.71\n",
"13000: loss=0.81079, train_acc=0.80, test_acc=0.73\n",
"14000: loss=0.81060, train_acc=0.80, test_acc=0.73\n"
]
}
],
"source": [
"result = train_nn(x_train, y_train, x_test, y_test, D, K, reg=.005, eta=.25, epochs=15000)\n",
"W1, b1, W2, b2, losses, train_acc, test_acc = result"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x10b3a7e90>"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYsAAAEKCAYAAADjDHn2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b64fc50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(6,4))\n",
"plt.plot(losses)\n",
"plt.xlabel(\"Epochs\")\n",
"plt.ylabel(\"Loss\")"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYUAAAEKCAYAAAD9xUlFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n+P8GuUvOgsUTWwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b346ed0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(6,4))\n",
"plt.plot(train_acc, label=\"train acc.\", alpha=.7)\n",
"plt.plot(test_acc, label=\"test acc.\", alpha=.7)\n",
"#plt.ylim(None, 1.)\n",
"plt.legend()\n",
"plt.xlabel(\"Epochs\")\n",
"plt.ylabel(\"Accuracy\");"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.80, 0.73\n"
]
}
],
"source": [
"# accuracy\n",
"print(\"{:0.2f}, {:0.2f}\".format(train_acc[-1], test_acc[-1]))"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAskAAAFgCAYAAABJzuRWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x114c13a50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"xx, yy = np.meshgrid(np.linspace(-1.2, 1.2, 200),\n",
"np.linspace(-1.2, 1.2, 200))\n",
"hh = np.maximum(0, (np.c_[xx.flatten(), yy.flatten()]).dot(W1) + b1)\n",
"ff = hh.dot(W2) + b2\n",
"test = np.argmax(ff, axis=1)\n",
"\n",
"plt.figure(figsize=(10,5))\n",
"plt.subplot(121)\n",
"plt.contourf(xx, yy, test.reshape(200, 200),\n",
"cmap=mpl.cm.Spectral)\n",
"plt.scatter(x_train[:, 0], x_train[:, 1], c=y_train, cmap=mpl.cm.Spectral, edgecolor=\"k\", alpha=.75)\n",
"plt.xlim(-1.2, 1.2)\n",
"plt.ylim(-1.2, 1.2)\n",
"plt.title(\"Decision hyperplane (on training set)\")\n",
"plt.xlabel(\"X1 train\")\n",
"plt.ylabel(\"X2 train\")\n",
"\n",
"plt.subplot(122)\n",
"plt.contourf(xx, yy, test.reshape(200, 200),\n",
"cmap=mpl.cm.Spectral)\n",
"plt.scatter(x_test[:, 0], x_test[:, 1], c=y_test, cmap=mpl.cm.Spectral, edgecolor=\"k\", alpha=.75)\n",
"plt.xlim(-1.2, 1.2)\n",
"plt.ylim(-1.2, 1.2)\n",
"plt.title(\"Decision hyperplane (on training set)\")\n",
"plt.xlabel(\"X1 test\")\n",
"plt.ylabel(\"X2 test\")\n",
"plt.tight_layout()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"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": 1
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment