{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 302 Classification\n",
    "\n",
    "View more, visit my tutorial page: https://morvanzhou.github.io/tutorials/\n",
    "My Youtube Channel: https://www.youtube.com/user/MorvanZhou\n",
    "\n",
    "Dependencies:\n",
    "* torch: 0.1.11\n",
    "* matplotlib"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<torch._C.Generator at 0x10725f2a0>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import torch\n",
    "from torch.autograd import Variable\n",
    "import torch.nn.functional as F\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "torch.manual_seed(1)    # reproducible"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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FZc7lGeih3oKJaPjLzAotLUye2AmCQaPff5C5zf0zK69WsPVuj7SAl7jjNQZPxi9G6J87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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x106c34e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# make fake data\n",
    "n_data = torch.ones(100, 2)\n",
    "x0 = torch.normal(2*n_data, 1)      # class0 x data (tensor), shape=(100, 2)\n",
    "y0 = torch.zeros(100)               # class0 y data (tensor), shape=(100, 1)\n",
    "x1 = torch.normal(-2*n_data, 1)     # class1 x data (tensor), shape=(100, 2)\n",
    "y1 = torch.ones(100)                # class1 y data (tensor), shape=(100, 1)\n",
    "x = torch.cat((x0, x1), 0).type(torch.FloatTensor)  # shape (200, 2) FloatTensor = 32-bit floating\n",
    "y = torch.cat((y0, y1), ).type(torch.LongTensor)    # shape (200,) LongTensor = 64-bit integer\n",
    "\n",
    "# torch can only train on Variable, so convert them to Variable\n",
    "x, y = Variable(x), Variable(y)\n",
    "\n",
    "plt.scatter(x.data.numpy()[:, 0], x.data.numpy()[:, 1], c=y.data.numpy(), s=100, lw=0, cmap='RdYlGn')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "class Net(torch.nn.Module):\n",
    "    def __init__(self, n_feature, n_hidden, n_output):\n",
    "        super(Net, self).__init__()\n",
    "        self.hidden = torch.nn.Linear(n_feature, n_hidden)   # hidden layer\n",
    "        self.out = torch.nn.Linear(n_hidden, n_output)   # output layer\n",
    "\n",
    "    def forward(self, x):\n",
    "        x = F.relu(self.hidden(x))      # activation function for hidden layer\n",
    "        x = self.out(x)\n",
    "        return x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Net (\n",
      "  (hidden): Linear (2 -> 10)\n",
      "  (out): Linear (10 -> 2)\n",
      ")\n"
     ]
    }
   ],
   "source": [
    "net = Net(n_feature=2, n_hidden=10, n_output=2)     # define the network\n",
    "print(net)  # net architecture\n",
    "\n",
    "# Loss and Optimizer\n",
    "# Softmax is internally computed.\n",
    "# Set parameters to be updated.\n",
    "optimizer = torch.optim.SGD(net.parameters(), lr=0.02)\n",
    "loss_func = torch.nn.CrossEntropyLoss()  # the target label is NOT an one-hotted"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "plt.ion()   # something about plotting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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K8rNo1Qh+Jzch7thlqQBV2dv1/8BGxjsvWYQqVO2ojTQWpCiKMgJwAsD/aJqW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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10979b550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Ulp9F68bwPbUZccevSAWoyt5u+Ac2Mt55ySJUoWpHbaSxIEVRlBGAkwC+pWla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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109773a90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ksvxM2jZD17PbEH/qulSAqixs8z+wkPHOSxZhFap21EdqC1IURekBOAPgW5qm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\nhgWsPbGHqMcx+Jcoz6AmL1K/bDWaVqiFb4EiXL1nvoFi3/p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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1099ec908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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H05bLZPmZtW+O7me2Iv7kNZkAVVn4xn9gJeedlzyiKlTtqI80FqQoijIAcBrA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\nPGwyAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1098f1668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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f2YD7k5YoZPNZtGiIjic24+3RSwrBqbSwDf/ARsk7LmUk5ajGUdNoLUBRFGUE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\n180XgVpTAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109aef668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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y/CxaNET705vw7sRVmQBVVvj6/bCR885LHpEaVTuqI60FKYqijACcAvA/mqZl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\nWehweRAouDujKErlaugUSko3cTlcjG3Vg9W6sE+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kuzuwDXgXaIOU5veSqHP6Az8A+4Ca\nSPkkst0b2AGUBMpGXcP8WLWBDcBhpLQqhYteF3kDyZo2I/WLVqRukQpRAgUghODt7LkpmbMgaTxU\nWQ4PV3e6V27GwSFzuPfDZi6MXMHopr3wy5CF3D45+Kx2e0Y37UXXgCaEhoXRMPgTowIFMH7rQn7e\ns4JOFRrwU8sBeLvF3gDrJJx4v2wdi/Wyyvq/TdX8pcz2yZ0pO56u7nikcqNGwTIsDxqjBSq5+Pln\n9d61K7RrB7dvw/LlxvuGh8PUqVCxIqRNCx4ekDcvdOkCZ84krG/HjmoWd+FC/Ovt2KGODRsWuz0w\nULWHhsI330CBAuDmpsYCePAAvv8eqlUDX18luD4+0KgR7Ntn+l6cPAkffgj+/mq8zJmhUiWYMkUd\nv3cPPD0hTx416zRGw4bKtqT94d4C8AEWxhIPKZ8Dn0d+6mHlWIYor5FRAqXGegyMQM2Oelo5lqH0\nwTQr++vlPo31zNy7ymJmjfFbF9I1oAl9qrakQ/n6LDywOSrjRMuS1Y1mXzfG4q6jaBA80Gidp7Zl\najGnw5evbOlUY4YbN2DVKsifHypUgDRpYNw4mD4dWrWK3Tc0FBo0gM2bwc8P2rZV/S9cUKIWEAD5\n8tneNzE0bw5//QV160KTJkpUAP79F4YOhcqVoX59SJ8eLl1S33X9eli9Ws0eY7J2Lbz3Hrx4oY61\naQP378ORI/Ddd9CjhxqndWuYNQu2bIGaNWOPcfmyGr9UKSidpHt0q0W+bzBybBfwFKiAEG5I+cLC\nWFkj388bOWZoq27RIiGyoJYbHwOmE4XGQf+Va6xmzbHfLfb59/oFzt26Qh4fX9J4eNEtskaWrWT0\nTsvvH09nw4n9zP9zA3eePCRXhqx0qdiIMv7WVTrWvAJmzYKXL6NnIEWKqAfs9u1w9qya+RgYNkyJ\nTsOGsHixmmkYePECHj5MWN/EcPEi/PMPZMoUu71QIbh6NX77lStQtiz07x9bpG7fVkIaFgbbtkGV\nKvHPM9Czp7pv06bFF6mZM9UMMigodvuECUrw4jAOsiPEMCPf7G+kjFlYr0Dke3yHs5RhCPEf8DaQ\nG7BUG+g2kA94y0hfw4bPnAjhgZTmwnI/BFIBs5HS6jxyWqQ0VvMiLNTKfklTZt3JyYl6RSpQr0gF\nlh7aRvCuZdT4sQ+pnF2o83Z5+lZtpQUrOTEETDg5Qfv20e0dO8LBg2oZcExkIt7wcAgOVkt2U6fG\nFh1Qn318bO+bWIYPjy9EoJYXjeHrCy1awMSJamaVM7IG2pw5Sjg/+ii+QBnOM1C6tHqtXAnXr0PW\nyIlJeLgSqdSp1SwsJhMmKEGNwwDIBnxlxNI5QEyRMnyhB8a/WFS78Q2PsVmL8mENRYjtUUIkhBcq\nCMJAOsC4SAkhgC6Rn6Zbcc0oUoxP6t9r/zF73xrm7l/H5bvmI880xjHUvDJHWg9v3sqYLcmuKaWk\n09zhtPh5CNtOHeDh8yfcefKA+X9upPx3XZixZ2WSXUtjgW3b4Nw5NRvIEWPZtm1b5cOZPVvNskD5\nah48gGLFIHt28+Pa0jexlC1r+tjvv0PLlmq50c0tOsR+4kR1PCRG5YL9+9V7XdNRqrHo2VPNun75\nJbpt3To143r/ffCOs8H8wgX1oyDOS8BBpBRGXh2tMyRB/AgcASoAxxFiEkJMBo6j/F4GwTOdZgZq\noGZdh6wKsIjBGz+TunDnKp3njWLbqej74uzkTLPigUxr+ynpvdLY0brXix6VmzFttwkHeSQdytfD\nw9U9ya45fc8Kk2VQImQE3X/7jndzF+VtE2mmNEnI9MgfwIalPgMZMqhluqVL1WyhRYvopaocVvgg\nbembWAyzmLgsX67sdndXIpwnD3h5qVnjjh2wc6dadjRgq82tW8PAgWq2+dlnalzD/Yy71Jc0GITD\nxBQxqj3+mmJcpHyMEAGoWVMLoCvwCFgHDAZOAmGoEHdTGAImbJpFwRsuUtce3KbSuO7xsiCER4Sz\n+NBWzt26wu6Pp+GZhA/VN5l3fPPxed1OjFg/y+jxItnzMKx+F6PHEsrE7YvNHg+PCGfyziVWJazV\nJIJbt2BF5GpSmzbxl6cMTJ+uHvbpIleRQuLXTYuHLX1BPeBBzUziYsSPEwshjLd/8YWaDR44oPxT\nMQkKUiIVk5g2Fy1q2WYPDyXu48fDpk3w9tsqYKJcOXjnnfj9E++TOgWUBvIDsTNQC+GC8i+FYTwY\nIj4qkm8IsZf3QIjcgDdqhmd8nV+IzEBjbAyYMJAkIiWEGAiMBXyklLeTYsykYNyWBWbT9By6fIp5\nf6w3m0dPE5vhjYIomDUXYzcv4O8ryieb3jMNHd+tx5f1OscKeU8sNx/e5fg1y39DyZ0FPkUyZ46K\nwCtVCoobT4nFqlUqgu2//6BgQfUgP3pUBSSYW8azpS+oiDlQkXExAzUg4WHcZ88q4YgrUBERsGdP\n/P7ly8OSJUpo4kb9maJHDyU+06YpYTIWMGEg8T6pbUA7oA7wW5y+lQFPYJcVkX2WMDgnzYlPJxIQ\nMGEg0T4pIYQfUAswn1U0mZFSMmuf6SSmBmb+bl3xPE007crW4fDQuVwauZIzXy/m6ujV/NCiX5IK\nFIDEuo3mdtiPnvIw7I0KDlbBE8ZeQUHRwRXOzsoP8+wZdO8ee6kMlODduqX+bUtfiPYrGWwycOwY\n/Phjwr6fv7/ai3X1anSblCrq8MSJ+P07dFAh8lOmwK5d8Y/HjO4zkC8fVK8Oa9aoAJF06dQyoDES\n75NagorKa40Q0bHtajOvYaf9lFhnCOGJEAURImc8e9Tm4LhtNYFPgXOY2vcUO2DC6r1RMUmKwInx\nwCCw8omSTDx+8ZS7TyyHrV68ey0ZrHkz8cuQhbyZ/XBP5Wa5cwLInDoD+ayo92Sq7LsmidixA06f\nVsta5gIPOndWy2mzZqmluK++Ug/l1avVvqpevZQ/pl075ctZG8PXaEvfxo3VA/+339S+pk8+UXu0\nypSBevUS9h3794dHj6BECSWYffuq8caOVf62uGTKBAsWKIGtWlXt8RoyBHr3VjZVqmT8OoYAihs3\n4IMP1DLgq0DKhyjfkTOwAyFmIMR3wN+oSL0lqFRJMSmLCjGfa2TEkwixASEmIMRohNiESpV0D2gc\na5NvbKoBeVEBEwla8kiUSAmVGypESnkkMeO8Cjxd3a16eGb0MuVXTHmE3L/JuC3zGbwimMk7lnD3\niano1eRBCEGvKi2s6NM8mSxKoRhmLF0s+Bv9/aFGDbh2TYmNq6tKmzRxImTJopYMJ06EP/+Epk3V\nBl0DtvR1d4etW1Uk3j//wKRJcP68Eo0e1iZRiENQkBLXbNnUtefPV1F+f/wBJU1k76lfXy0vtmsH\nhw8rQVu8WAn14MHGz2nUKDoE/tUETESjfFRVUJt3mwN9gJfAAKC11cXvFPOBHKi9Tn2BnMB3QBGk\nPG7mvAQHTBiwmLtPCLGF6B3HMRmKcqLVklI+EEJcAEqb8kkJIboZDM6ZM2epi0bWW5OajnO+Yc7+\ndWb7jGgUxNC6nV65LY5MeEQ4/RaPZ+qu5YRFhEe1u6dyY2idDnxe70O72tby56Es+3uH0eNjm/dh\nYI12yWuURpNQzp9XfrSKFWH3bptPT4nl4y3OpKSUNaSUReK+UFEhbwFHIgXKFzgkhDAa4ymlb3wm\nUAAABQxJREFUnC6lLC2lLO2TVBvzLDCo1gd4mcmonT2tD90CEpYR4U2i76LxTNqxJJZAATx/+YIv\nVk/n+02/2skytV1gcddRzHh/CCX9CiCEwMXJmfpFKrL5o5+0QGleL8aOVf6l3r3tbclrQ5JlQbc0\nk4pJcmZB33n6EK1nfsH1h3ditRfIkovlQaMplO2tZLHDUbly7yb+nzclPI5AxSSdR2pCRq92iFD9\niIgIhBCR/liN5jXg0iW1FHnmjFpSLFYMDh2KDqW3gZQ4k3qj90kBVMlfkkujVrLs8Hb2nf8HZycn\nahYqS+3C5fWDDljw10azAgVw/9kj1hzbQ8tSNZLJKtPogoaa147z55WPytNTbRSeMiVBApVSSTKR\nklL6J9VYSU0qZxdala5Jq9I1LXdOYdx6ZHnDOcDNR/desSUazRtKYKDeJ5EItJyncHKks84/6Jsu\n8yu2RKPRaOKjRSqF065sbdxczFdUzZImA/WKVEgmizQajSYaLVIpHJ/U6RlU632zfUY26o6rS6pk\nskij0WiieeMDJzSW+aZhN9xcUvHdpl95+Dx647iPd3pGNe5O54qN7GidRqNJySRZCLotJGcIusZ6\nHj9/yqqju7n1+D5+6TPToGiAnkFpNA6EDkHXpGi83T1pW7a2vc3QaDSaKLRPSqPRaDQOixYpjUaj\n0TgsWqQ0Go1G47BokdJoNBqNw2KX6D4hxC3g1dfqME8mVOVKjXn0fbKMvkfWoe+TdZi7T7mklMlT\nRsJBsItIOQJCiAMpLZQzIej7ZBl9j6xD3yfr0PcpNnq5T6PRaDQOixYpjUaj0TgsKVmkptvbgNcE\nfZ8so++Rdej7ZB36PsUgxfqkNBqNRuP4pOSZlEaj0WgcHC1SgBBioBBCCiEy2dsWR0QI8b0Q4qQQ\n4qgQYrkQIp29bXIUhBB1hBCnhBBnhRCf2dseR0QI4SeE2C6EOCGEOC6E6GtvmxwVIYSzEOKwEGKN\nvW1xFFK8SAkh/IBawCV72+LAbAaKSCmLAaeBwXa2xyEQQjgDk4G6QGGgjRCisH2tckjCgIFSysJA\neaCXvk8m6Qv8a28jHIkUL1LAeGAQoJ1zJpBSbpJShkV+3A/42tMeB6IscFZKeV5KGQosBBrb2SaH\nQ0p5TUp5KPLfj1AP4Rz2tcrxEEL4AvWBGfa2xZFI0SIlhGgMhEgpj9jblteID4H19jbCQcgBXI7x\n+Qr64WsWIYQ/UAL4w76WOCQTUD+YI+xtiCPxxteTEkJsAbIaOTQUGIJa6kvxmLtPUsqVkX2GopZu\n5ienbZo3AyGEN7AU6CelfGhvexwJIUQD4KaU8qAQItDe9jgSb7xISSlrGGsXQhQF3gKOCCFALWEd\nEkKUlVJeT0YTHQJT98mAEKIj0ACoLvW+BQMhgF+Mz76RbZo4CCFSoQRqvpRymb3tcUAqAo2EEPUA\ndyCNEOJXKeX7drbL7uh9UpEIIS4ApaWUOgFmHIQQdYAfgCpSylv2tsdREEK4oAJJqqPE6S+grZTy\nuF0NczCE+hU4B7grpexnb3scnciZ1MdSygb2tsURSNE+KY3VTAJSA5uFEH8LIaba2yBHIDKYpDew\nERUMsEgLlFEqAh8A1SL///wdOWPQaCyiZ1IajUajcVj0TEqj0Wg0DosWKY1Go9E4LFqkNBqNRuOw\naJHSaDQajcOiRUqj0Wg0DosWKY1Go9E4LFqkNBqNRuOwaJHSaDQajcPyf+z9sqwdb9DSAAAAAElF\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1099d6438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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F/XELZLL8LJrVR7sTG/D26CWZAFVWxNo9sJHzzUsekRpVO6ojrQUpiqKMABwH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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x104bce320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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UvYLDcH/ILHhf3AaulnSVCeeRvfEh6IXCtdj39gHfgP0mXravPct/f4zZfQLPF65Dcblr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\noLuEAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109c06eb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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UvYLDcH/ILHhf3AaulnSVCeeRvfEh6IXCtdj39gHfgP0mXravPct/f4zZfQLPF65Dcblr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\noLuEAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109d37518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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UvYLDcH/ILHhf3AaulnSVCeeRvfEh6IXCtdj39gHfgP0mXravPct/f4zZfQLPF65Dcblr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\noLuEAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109d58da0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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E44mLpbL5zFo2QoczWxB/8ppUcCovfOMBWMn4xiWLUIVqHDWNxgIURVEGAE4D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\n91mq8/Fnilu6Vzfd67fGkF2LcPaF4uQIexNLNLC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WtBmpX7QCdYuUjzZOAEII3sqWm5I5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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109d0bcf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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E44mLpbL5zFo2QoczWxB/8ppUcCovfOMBWMn4xiWLUIVqHDWNxgIURVEGAE4D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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109def4a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for t in range(100):\n",
    "    out = net(x)                 # input x and predict based on x\n",
    "    loss = loss_func(out, y)     # must be (1. nn output, 2. target), the target label is NOT one-hotted\n",
    "\n",
    "    optimizer.zero_grad()   # clear gradients for next train\n",
    "    loss.backward()         # backpropagation, compute gradients\n",
    "    optimizer.step()        # apply gradients\n",
    "    \n",
    "    if t % 10 == 0 or t in [3, 6]:\n",
    "        # plot and show learning process\n",
    "        plt.cla()\n",
    "        _, prediction = torch.max(F.softmax(out), 1)\n",
    "        pred_y = prediction.data.numpy().squeeze()\n",
    "        target_y = y.data.numpy()\n",
    "        plt.scatter(x.data.numpy()[:, 0], x.data.numpy()[:, 1], c=pred_y, s=100, lw=0, cmap='RdYlGn')\n",
    "        accuracy = sum(pred_y == target_y)/200.\n",
    "        plt.text(1.5, -4, 'Accuracy=%.2f' % accuracy, fontdict={'size': 20, 'color':  'red'})\n",
    "        plt.show()\n",
    "        plt.pause(0.1)\n",
    "\n",
    "plt.ioff()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
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