Raw File
{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Multiclass classification with GPflow"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import GPflow\n",
    "import tensorflow as tf\n",
    "import matplotlib\n",
    "import numpy as np\n",
    "#matplotlib.style.use('ggplot')\n",
    "%matplotlib inline\n",
    "plt = matplotlib.pyplot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f5b9e8adc50>,\n",
       " <matplotlib.lines.Line2D at 0x7f5b9e8add50>,\n",
       " <matplotlib.lines.Line2D at 0x7f5b9e8adf50>]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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Ar4C/ybDfABA1xvyhMabok7ekjhhqbobNmwt7R1AS6afVEKfPYf2O9fQbO0R2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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5c18381e50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#make a one dimensional classification problem\n",
    "np.random.seed(1)\n",
    "X = np.random.rand(100,1)\n",
    "K = np.exp(-0.5*np.square(X - X.T)/0.01) + np.eye(100)*1e-6\n",
    "f = np.dot(np.linalg.cholesky(K), np.random.randn(100,3))\n",
    "\n",
    "plt.plot(X, f, '.')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "Y = np.argmax(f, 1).reshape(-1,1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "m = GPflow.svgp.SVGP(X, Y, \n",
    "                     kern=GPflow.kernels.Matern32(1) + GPflow.kernels.White(1, variance=0.01),\n",
    "                     likelihood=GPflow.likelihoods.MultiClass(3),\n",
    "                     Z=X[::5].copy(), num_latent=3, whiten=True, q_diag=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "compiling tensorflow function...\n",
      "done\n",
      "optimization terminated, setting model state\n"
     ]
    }
   ],
   "source": [
    "m.kern.white.variance.fixed = True\n",
    "m.Z.fixed = True\n",
    "_ = m.optimize()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def plot(m):\n",
    "    f = plt.figure()\n",
    "    a1 = f.add_axes([0.05, 0.05, 0.9, 0.6])\n",
    "    a2 = f.add_axes([0.05, 0.7, 0.9, 0.1])\n",
    "    a3 = f.add_axes([0.05, 0.85, 0.9, 0.1])\n",
    "    \n",
    "    \n",
    "    xx = np.linspace(m.X.min(), m.X.max(), 200).reshape(-1,1)\n",
    "    mu, var = m.predict_f(xx)\n",
    "    mu, var = mu.copy(), var.copy()\n",
    "    p, _ = m.predict_y(xx)\n",
    "    \n",
    "    a3.set_xticks([])\n",
    "    a3.set_yticks([])\n",
    "    \n",
    "    \n",
    "    a3.set_xticks([])\n",
    "    a3.set_yticks([])\n",
    "    \n",
    "    for i in range(m.likelihood.num_classes):\n",
    "        x = m.X[m.Y.flatten()==i]\n",
    "        points, = a3.plot(x, x*0, '.')\n",
    "        color=points.get_color()\n",
    "        a1.plot(xx, mu[:,i], color=color, lw=2)\n",
    "        a1.plot(xx, mu[:,i] + 2*np.sqrt(var[:,i]), '--', color=color)\n",
    "        a1.plot(xx, mu[:,i] - 2*np.sqrt(var[:,i]), '--', color=color)\n",
    "        a2.plot(xx, p[:,i], '-', color=color, lw=2)\n",
    "    \n",
    "    a2.set_ylim(-0.1, 1.1)\n",
    "    a2.set_yticks([0, 1])\n",
    "    a2.set_xticks([])\n",
    "\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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sYPFioH177kqsTEyZAqxYAQwfDkycCDRv7miJBBUZWxSacH0lEJQiRMCWLUDL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\nJBKJpEHw/6ClSCjAoUJOAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5b9e8ec1d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "kern.white.\u001b[1mvariance\u001b[0m transform:+ve prior:None [FIXED]\n",
      "[ 0.01]\n",
      "kern.matern32.\u001b[1mlengthscales\u001b[0m transform:+ve prior:None\n",
      "[ 0.1040372]\n",
      "kern.matern32.\u001b[1mvariance\u001b[0m transform:+ve prior:None\n",
      "[ 80.40056701]\n"
     ]
    }
   ],
   "source": [
    "print m.kern"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "m = GPflow.sgpmc.SGPMC(X, Y, \n",
    "                     kern=GPflow.kernels.Matern32(1, lengthscales=0.1) + GPflow.kernels.White(1, variance=0.01),\n",
    "                     likelihood=GPflow.likelihoods.MultiClass(3),\n",
    "                     Z=X[::5].copy(), num_latent=3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "m.kern.matern32.variance.prior = GPflow.priors.Gamma(1.,1.)\n",
    "m.kern.matern32.lengthscales.prior = GPflow.priors.Gamma(2.,2.)\n",
    "m.kern.white.variance.fixed = True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "compiling tensorflow function...\n",
      "done\n",
      "optimization terminated, setting model state\n"
     ]
    }
   ],
   "source": [
    "_ = m.optimize(max_iters=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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W8+stW2RoqVUr97RbnsjIABYtAqZNk2HVVq2Af/9b/M0UNxYeU1qapjUCMBtA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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5b17c66fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration:  100 \t Acc Rate:  71.0 %\n",
      "Iteration:  200 \t Acc Rate:  66.0 %\n",
      "Iteration:  300 \t Acc Rate:  51.0 %\n",
      "Iteration:  400 \t Acc Rate:  30.0 %\n",
      "Iteration:  500 \t Acc Rate:  40.0 %\n"
     ]
    }
   ],
   "source": [
    "samples = m.sample(500, verbose=True, epsilon=0.04, Lmax=15)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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CiF3AAeDJ657V1bB9O0k9QGNJ65Se6tGv+zTa23DVeDJ5IQRB1Ob0kXNo6dYW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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5b17accc90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xx = np.linspace(0, 1, 100)[:,None]\n",
    "for s in samples[::100]:\n",
    "    m.set_state(s)\n",
    "    #plot(m)\n",
    "    plt.plot(xx, m.predict_y(xx)[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f5b173f03d0>,\n",
       " <matplotlib.lines.Line2D at 0x7f5b173f0cd0>,\n",
       " <matplotlib.lines.Line2D at 0x7f5b173f0e10>,\n",
       " <matplotlib.lines.Line2D at 0x7f5b173f0490>,\n",
       " <matplotlib.lines.Line2D at 0x7f5b173f0790>,\n",
       " <matplotlib.lines.Line2D at 0x7f5b173f0750>,\n",
       " <matplotlib.lines.Line2D at 0x7f5b173f0990>,\n",
       " <matplotlib.lines.Line2D at 0x7f5b173ec150>,\n",
       " <matplotlib.lines.Line2D at 0x7f5b173ec290>,\n",
       " <matplotlib.lines.Line2D at 0x7f5b173ec3d0>,\n",
       " <matplotlib.lines.Line2D at 0x7f5b173ec510>,\n",
       " <matplotlib.lines.Line2D at 0x7f5b173ec650>,\n",
       " <matplotlib.lines.Line2D at 0x7f5b173ec790>,\n",
       " <matplotlib.lines.Line2D at 0x7f5b173ec8d0>,\n",
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       " <matplotlib.lines.Line2D at 0x7f5b173d24d0>,\n",
       " <matplotlib.lines.Line2D at 0x7f5b173d2ed0>,\n",
       " <matplotlib.lines.Line2D at 0x7f5b173d0050>,\n",
       " <matplotlib.lines.Line2D at 0x7f5b173d0190>,\n",
       " <matplotlib.lines.Line2D at 0x7f5b173d02d0>,\n",
       " <matplotlib.lines.Line2D at 0x7f5b173d0410>,\n",
       " <matplotlib.lines.Line2D at 0x7f5b173d0550>,\n",
       " <matplotlib.lines.Line2D at 0x7f5b173d2d90>,\n",
       " <matplotlib.lines.Line2D at 0x7f5b173d07d0>,\n",
       " <matplotlib.lines.Line2D at 0x7f5b173d0910>,\n",
       " <matplotlib.lines.Line2D at 0x7f5b173d0a50>,\n",
       " <matplotlib.lines.Line2D at 0x7f5b173d0b90>,\n",
       " <matplotlib.lines.Line2D at 0x7f5b173d0cd0>,\n",
       " <matplotlib.lines.Line2D at 0x7f5b173d0e10>,\n",
       " <matplotlib.lines.Line2D at 0x7f5b173d0690>,\n",
       " <matplotlib.lines.Line2D at 0x7f5b170c3e90>,\n",
       " <matplotlib.lines.Line2D at 0x7f5b170c3bd0>,\n",
       " <matplotlib.lines.Line2D at 0x7f5b170c31d0>,\n",
       " <matplotlib.lines.Line2D at 0x7f5b170c3350>,\n",
       " <matplotlib.lines.Line2D at 0x7f5b170c3150>]"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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IkMf0lKiUs0LkC2skN0LjR/dw2SH/O/g/bhtxG78f/fs2nedkwdnuzGezP2uxtk97SdAn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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5b9e8e1d10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(samples)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "l = []\n",
    "for s in samples:\n",
    "    m.set_state(s)\n",
    "    l.append(m.kern.matern32.lengthscales._array.copy())\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "l = np.vstack(l)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([  5.,   3.,   4.,   5.,  10.,  14.,   2.,  14.,  12.,  14.,  27.,\n",
       "         26.,  14.,  43.,  28.,  34.,  28.,  15.,  24.,  15.,  35.,  13.,\n",
       "         22.,   2.,  28.,  16.,   2.,  17.,   6.,   1.,   2.,   8.,   0.,\n",
       "          0.,   0.,   0.,   0.,   1.,   0.,   0.,   1.,   0.,   0.,   0.,\n",
       "          0.,   0.,   0.,   0.,   0.,   9.]),\n",
       " array([ 0.10150057,  0.10627615,  0.11105173,  0.11582731,  0.12060289,\n",
       "         0.12537846,  0.13015404,  0.13492962,  0.1397052 ,  0.14448078,\n",
       "         0.14925636,  0.15403194,  0.15880752,  0.1635831 ,  0.16835868,\n",
       "         0.17313426,  0.17790983,  0.18268541,  0.18746099,  0.19223657,\n",
       "         0.19701215,  0.20178773,  0.20656331,  0.21133889,  0.21611447,\n",
       "         0.22089005,  0.22566563,  0.23044121,  0.23521678,  0.23999236,\n",
       "         0.24476794,  0.24954352,  0.2543191 ,  0.25909468,  0.26387026,\n",
       "         0.26864584,  0.27342142,  0.278197  ,  0.28297258,  0.28774815,\n",
       "         0.29252373,  0.29729931,  0.30207489,  0.30685047,  0.31162605,\n",
       "         0.31640163,  0.32117721,  0.32595279,  0.33072837,  0.33550395,\n",
       "         0.34027953]),\n",
       " <a list of 50 Patch objects>)"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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/wheesjNVkhZk5SF/5sy/cf5RipKkedlcI0kNM+QlqWGGvCQ1zJA/4H2ddgavs/3/Zn3u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\nmcwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5ba227d490>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(l, 50)"
   ]
  },
  {
   "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": "2.7.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
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