{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Illustration/tutorial by Alan Saul - 07 March 2016\n", "\n", "Looks at modelling a space-time effect, and a multiplier which is a spatial effect. \n", "\n", "*Work in progress*.\n", "\n", "$\\lambda = \\exp(f(s, t)) · e_s) = exp(f(s,t) + \\log(e_s))$\n", "\n", "$y_{s,t} | λ(s, t) ∼ Poisson(\\lambda)$\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import GPy\n", "from scipy.stats import poisson\n", "np.random.seed(100)\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#Determine our inputs\n", "space = np.linspace(0,5)[:, None]\n", "time = np.linspace(0,1)[:, None]\n", "\n", "space_grid, time_grid = np.meshgrid(space,time)\n", "#Stack grid observations into two columns of features\n", "X = np.vstack([space_grid.ravel(), time_grid.ravel()]).T\n", "\n", "# Make a kernel for the space_time effect, f\n", "kern_f = GPy.kern.RBF(2, active_dims=[0,1], name='space_time_kern')\n", "# Make a kernel for the spatial only effect (which is in log space)\n", "kern_s_effect = GPy.kern.RBF(1, active_dims=[0], name='space_effect')\n", "\n", "#Generate our truth effects from a GP (sampling from the assumed model to generate the data)\n", "Kf = kern_f.K(X)\n", "Ke_s = kern_s_effect.K(X[:,0:1])\n", "truth_f = GPy.util.linalg.jitchol(Kf).dot(np.random.randn(X.shape[0]))\n", "truth_log_e_s = GPy.util.linalg.jitchol(Ke_s).dot(np.random.randn(X.shape[0]))\n", "\n", "#Lambda is exp(f(s,t))*e_s = exp(f(s,t) + log(e_s))\n", "truth_lamda = np.exp(truth_f + truth_log_e_s)[:, None]\n", "\n", "Y = np.array([poisson.rvs(truth_lamda[i]) for i in range(truth_f.shape[0])])[:, None]" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# In practice you won't have all of these locations \n", "# Here we subsample our observations \n", "known_indices = np.random.permutation(range(X.shape[0]))[:500]\n", "known_X = X[known_indices]\n", "known_Y = Y[known_indices]" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Rearrange data into grids for plotting\n", "truth_lamda_grid = truth_lamda.reshape(space.shape[0], time.shape[0])\n", "Y_grid = Y.reshape(space.shape[0], time.shape[0])\n", "truth_f_grid = truth_f.reshape(space.shape[0], time.shape[0])\n", "truth_log_e_s_grid = truth_log_e_s.reshape(space.shape[0], time.shape[0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the overall truth rate with observations" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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MxhxS4v/GSVyievXqdy/QTqwFePsmjUj/ZS156WnkJMSRt/NnWjVpZDNf+7aN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5OcHIrZbCA29hxly/rToUMLUlLOYDRq0ekSMZtv0LlzBxSKeDSa8AdtT1K79ks2t/jVq1dHLo8k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QEBNvvPEa/v4BzJ27BIXCAyG0zJxptrWFhYWxY8duNBo7evR4Ch8fH7KyslizZi1xcQk0aFCX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\n8zB4lAX80bTt2CiQXPP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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.title('Overall rate and observations')\n", "plt.contour(space_grid, time_grid, truth_lamda_grid)\n", "plt.scatter(known_X[:,0], known_X[:,1], c=known_Y, alpha=0.7)\n", "plt.xlabel('Space')\n", "plt.ylabel('Time')\n", "plt.xlim(space_grid.min(), space_grid.max())\n", "plt.ylim(time_grid.min(), time_grid.max())\n", "plt.colorbar()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot just the space-time effect (effect from one kernel)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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wKasCoiH9+ZzPmMgZ+qscghVWyZ0Mno76x47GxqWwdTmcf7OzcXoMsNIXM5tYXL1lwECl\n1HjgMeBtJwbNVXwciMAJg2BLKfTo6o6NujB0MF+vac82tlHNQca7kXII4H0V8m9wZ+yWKGXljX/j\nl7Ft/mmLoi5Qf0jPvNxmWvQv4JID1q0NdgEDmz0eiOWVH0YpVdvs/kwR+auIdFNKtT1yKxghj5Pj\nB8LWUpg03p3x642Qpz0KxcfM4TymkEWWfgPhg+BfAF1e1j92NJbNsTbyXHSn87GKOkO9i5e0Ovko\numNdHLk18fDRHWe+BIaJyBCgArgeuLH5ASLSG9irlFIicjogdkUcjJDHTZNH7hZ1YSgyQp7WbGIj\nXryMZZw7BrwzIHcKeDq5M35zwmHLG7/9t5ClQS6KOqePR24TpVRQRO4DZgFZwLNKqfUick/k9aeA\na4B7RSQINACOLq9cFXIRmQY8ivVmnlFK/b7F6z2Al4A+kbn8SSn1vJtzcsrxA93t4WmEPL1RKObx\nMeczRf92/CYaX4VCDd5xLCx4HTxZcPbVesZLJ4/cAUqpmcDMFs891ez+E8ATuuy5Jhkx5lLeByxX\nSp2EdbXyiEgyKuPHztABsNPFtRoTWklvtrGNAAFG4SgJoXVCeyCwBPIvc2f8lrz7ONzwU30Nawtd\n9sjr/se9sVMYNyUjllzKSqDp+rATsF8pFXRxTo4Z0h92uFj3pz4MhSZrJW35nAWcxdnueePe1ywR\nF80dhqJRtgEqNsPEr+kb0+3QSsOz7o2dwrgp5LHkUj4NnCgiFcBK4PsuzkcLA3rDnv3udQtqUCa0\nkq7sZje7qXQvUwWg8WXIv8m98Zsz6zm44DYr91sXbgq5CltNNtohboYxYsml/CmwQilVLCLHA3NE\nZHzz1JwmHnroocP3i4uLKS4u1jXPuMjOhr49oXwPHDfw2MfHQ0hZRbPyjUeeliyM5I1nu/VnFdxm\nlazNu8Cd8Y+wFYCPX4Q/ztc7rgtCXlJSQklJCYRroCEb8GkdPx1wU8iPmUsJnAn8FkAptVVEtgMj\nsNJ3jqC5kCebwf2s8IpuIa+JxMd1hSMNiaOaajayge9jsw5JLHhfgfxrElNb5fO3rCJXA4brHbeo\ni/bFzsOOnX8p1Mzn4UfaX6lcNy/iD+dSikguVi7luy2O2QBcAIfzKkcA21yckxaG9HdnwbMqCD1d\nSDs2uM/nfMYpnEohLsauG1+BghuPfZwO3nkMrviu/nE7doO6g/rHBQhXgSfGRhcZhmtCHlm0bMql\nXAe82pRL2ZRPCfwOmCAiK4G5wANOkuITRZNHrpuqEPRI6ZwdQzRqqWUVK9zpx9lEYK21ESjHRRtN\nbF4G+0rhDBcKcnXsBrUu/YmHq0C6uzN2iuOqbMSQS1kFJCiPSh9D+sF8F67eqkLQw3jkacccZnEq\nE+iIixt0vK9YfTklASvh7z5mNY7QsQGoJa4K+X7w9HBn7BTH5EfYwFWP3Ah5WlFGKVvZwmTOc8+I\nUlZYJRG1Var3wqK3Ydrd7oxf1Bka6yDkQpZxuAo87dMjN0Jug17docqFMF91CLoYIU8bwoT5gPeZ\nyjTyyHPPUHCZ9TPnVPdsNDHjUZh8A3R2ybP1eCC/CLz1+scO74asPvrHTQNMRNYG3TrDARdSYWvC\n0Nl8taYNK1hGFlmMw6UKak00NoVVXE5nqj8EHz4Ff/nCXTsFHSyvvKiz3nHDleDpq3fMNMHIhg26\ndnJHyA+FoJPxyNMCL17mModLuNSdeuNNqHBkN2cCwiof/A0mTIO+x7lrJ78DNB61VcQ5oQrI6qd/\n3DTACLkNCvKtn41eveMajzx9KGEeIxhJfwa4ayiwGKQD5Ixx104oCG//H1x7VJ9g/RR2tDxy3RiP\n3BAPIpZXrrtT0P4QdDUeecqzn/2sYDlTuNB9Y40vJ8YbXzbH6t5znEuld5uTV6g/Rq5CkawVk0du\niIOunaBa89XhrgAMMKsWKc9cZnMGZ9GBDu4aUgGrE1DBN9y1AzD7H3oaR8RCTp7VxFkn4QMgXSC1\ni6e6hhFym3TtDAc1x8nLgzAgAbuvDfYpp4wySjmDM9035psJWcMh2+WY9aEqWDbbylZJBK4I+b52\nm0MORshto9sjDyhri37v9ulQpAUhQrzPu0zhQnLJdd9g4wtQeJv7dj55GU7/GnTo4r4tcFHI22dY\nBYyQ26ZLRzhYo2+83UHomQ3ZpmBWyjKfTymkiJM42X1j4f3gmwv517lrRymY/RxMvcNdO81xRcir\njEduiJ+ORVDXoG+8yiD0N954ylLBLpaymCu40t10wyYaX4W8i8Hjspe8YYmVQTLexZ2pLcnK1r+z\nM7wHsnrrHTONMEJuk8J8aGjUN97uIPQxQp6SBAjwJm8wjUvojOZNLK3ROB0KbnHfzvt/ha/da+24\nTBSeLCs/XifhPeAxQm6Ik6JCaNCYR26EPHX5mLn0pKf7OzibCG6G0DbIm+qunUNVsPhduPB2d+20\nRDwQCukdM7wHPO1zez4YIbdNYb5eIa80Qp6S7GA7q1nJZVyRmJAKQONLVu642w0kZv8Dzvg6dEpw\noamsLAhrFvLQbuORG+KnMB/qNcbI9wShlxHylMKPnxm8xWVcQRFFiTGqlCXkbodVwmGrrsql33bX\nTjSyciAU0DtmeC9k9dI7ZhqRlkJeU+Pjb3/7Ep/PhVKYMVJUCI0aF96rQqY7UKoxl9kMYhAjGZU4\no4GFQK77lQ5Xfwp5BTByort2olHYERo076YL7wNP+xXytPMB9+yp4+KL/0l9fYDnn1/BG29cx4AB\nLhb0b4WCPL2hlapg6tYiVyhK2clmNpFFFjnkHv6XQw496EFPeuFJT78gKqtYyXrWcS/3JdZw43Qo\nvMX9SocfPWPVHE9Gg9jCztCgMXcX2v2GoLQS8u3bDzJ16kt84xtj+cUvJvOHP3zOaac9zT//eRXn\nnz80oXPRnbWyPwTdU+x/w4ePVaxgKUsIEmIMYwijqKMWP34CBPDjYy97qaOO/gxgIAMZwEAGMZgC\nCpL9FmyxiY18xIfczp3u9uBsifJB4+vQY5m7dmoPwtIP4N6/uGunNQo7QVWZvvFUAFS9tUW/nZJi\n0tE669fv48ILp/Pgg2dz332nA/Dgg2czYUI/brrpTf7rv87hu99N3GViYQHUaxTyqhB0TxGP/CAH\n+JzPWM0qhnIc07iU4ziuzcW+euopp4xyyljEQt7kdcYxnrM5hy50TeDsnVFGKTN4kxu5mV4kePHM\n+wHkjIXswe7a+fQVOPWixC9yNlHU2ap9rotwFXi6JaYNXoqSNkJ+4YXT+d3vpnDrrUemgF1wwXEs\nWXI3xcUvUFCQw913n5KQ+eRkQ1DTwntIwb4U2Z6/mc28xeucygS+w3djzpsuoogRjGQEIwGoo46F\nfM6TPMEIRnIO59KT1I5hHmA//+KffJ2rGMSgxE+g8UUouNV9O/P+Cdc+4L6d1sgrBJ9GL6idb8+H\nNBLyn//83KNEvInBg7swe/bNTJ78PMOGdWPy5CGuz8ejMRV2X6TFW26St+cvYRGfUsIN3MRghjga\nqwMdmMpFnMO5LGUxz/EMgxhMMefRl9Qr/t9AA9N5kWLOP/xllFDCVeAvgS4vumunYitUbIbTLnbX\nTlvk5EFA4wJTO1/ohDTKWrnnngltvj5sWHd++tNzeP75lQmZj0cgrPSMtSsA/ZNY9bCpGNRSlnI3\n9zgW8eYUUMBkzuOH/JjBDGE6L/Aar7CPfdpsOCVIkH/xT0YyktNJQhYHWO3c8i4Fj8sL9x+/CMU3\nQnYSP3C5+XprrYT3ppxHLiLTRGSDiGwWkajdOkTkL5HXV4qIowI+aSPksXDZZcP54INNhEKat/9G\nISvLSsXVwa4k1llppJHpvMABDvBN7qEb3Vyxk0suZ3IWP+B++tKP53iat3iDAxxwxV6s1FPPP5lO\nBzpwIRclbyKNz7tf6TAchrkvwpQEhG/aIicP/DqFPLVCKyKSBTwOTANGAzeKyKgWx1wCnKCUGgZ8\nC3jSic2MEvLBg7vQt29HlizZ5botnaGVXYHkCLkXL8/yND3pxTe4hXzyXbeZSy7ncC7f50d0oSt/\n50ne513qcKH11zEopZS/8QR96cs1XJe89MnACkuMcqe4a2ftZ1YH+xMSUL2xLbJzIOjXN16KCTlw\nOrBFKbVDKRUAXgGuaHHM5cALAEqpJUAXEbG9up5RQg5wySUn8NFHW1y3k+XRF1opC8DAJFzpzmU2\n/ejHJVxKFolNmcknn/OZwnf5AR6yeJz/Yz6fEkDzjr8oKBQL+Zx/8RKXchlTmZbw938EDU9DwV0g\nLs9h1nMw9c7k5I43J+i3vHJdpF4J2/5A8/zK8shzxzrGdgPYtFnsjJVp007gP/9zDr/6lbtlOXV6\n5KVBuDBBO8AP26SUdazlPr6fuBoiUSiiiEu4lNOZyBw+4jEe5QKmMpZxrszLi5e3eYtqDvItvk1X\nl0JJMROuh8Z/Qc9V7tqpr4HF78Ddf3TXTiz4Gq04uS7C+90R8sron7+ShdatDWJ18VoasO0aZpyQ\nn3HGQDZt2s++ffX07OmeOmZ59MXIywIwKIEeeZAg7zKDi7k0sRte2qAHPbiRm9nOdmbxIYtYyDmc\nywhGavGWQ4RYzSo+YR7DGMY1XEd2Knz8va9D7pmQZdsZi435r8L486FLCoQg/F7NQu6SR943uq4W\nX23dmnj4f48S/F3AwGaPB2J53G0dMyDynC0yLrSSm5vFeecNZdasra7a8WgMrZQmOLTyGQvoTBfG\nMDZxRmNkKEP5FvdyJmexkM/5M3/iEz7mIAdtjRcgwBcs5S/8mWV8xeV8na9xeWqIOFhhlcJvum9n\n1rNWWCUVCHghV+Ou33AVeJK0uSk6XwLDRGSIiOQC1wPvtjjmXeBWABGZBFQrpfbYNZgin2a9TJky\nlJKSHdx88zjXbChNIh5WUJHArJU97GYxC/k230lqSKUtPHgYyzjGMo7d7OZLlvIUf6UXvRnBSLrS\nlS50oTNdKKTw8PtQKAIEaKCBRhrYxEaWsJh+9OcqrmUwLu+YjJfAWghtt9IO3WTLcthfAROSmJXT\nnFBIbyOL8P6UEnKlVFBE7gNmAVnAs0qp9SJyT+T1p5RSH4rIJSKyBagHHPXay0ghP/vsQTzxxBeu\n2vAHIFeDF70vBJ08UJCAa6MQId7iDS5katpsm+9DH77G5UzjEjaygR3sYCfbqeYQh6gmSJCOdCKA\nn0as3YKFFFJAIf3ox+3cmfit9rHS+AwU3AHi8p/hu4/BpfdaLdZSgewcCGpa1FYq5YQcQCk1E5jZ\n4rmnWjzWVpEtRf5n9TJ2bC8qKmqpqmqgRw93YsCBoB4hLw/AgASFVeZTQgc6cgptb65KRbLJ5kTG\ncCJjjnjeh48aasglhwIKE9PdXgfKa9Ud777EXTuHqmDhDHh2s7t24kGrkDcAApIaaz3JIuNi5ABZ\nWR4mTuzPwoUaK6y1wB+w6q04pTwIAxLwdVpJBUtZwhV8PWVDKnbII4+e9KQzXdJHxAG8MyD7JMg+\nzl07Hz1jdQHqnELpeTobSyiXMlbSjIwUcoCzzhroqpAHgnqEvCxBHvksPmIKF9IpUc2DDW3T8CwU\n3u2uDaWsLkCXJ7im+rHIyoaQpqYw4QNW5cN2TsYK+Ukn9WH16r2ujR/UJOTb/HC8y0JewS6qqOIk\nkryjz2ARKoXAcshvudlPM+sXWZUGT0hMRdCY0bkhKXzQCDkZLOQnntiLNWtcFPIQ5GgQ4C1+ON7l\niMAC5nMmZ6VOyl17p/GfUHAtiMslEUpegck3JH8nZ0t0pXyBJeTtuKFEE64KeYwVwIpFZLmIrBGR\nEl22hw7tQlVVAzU1GovzNCMQhGwNO6q3+OEEF4V8P1VsZxunpuECZ0aiFDQkoO54KAQLXofJ17tr\nxy66vlxUNXjSIwPLTVwT8hgrgHUBngAuU0qNAa7RZT8ry8OoUT1Yt86dcqlBDUIeVrA9AMe5KOSf\n8xmncTp5aKxtYbBPYCkQhJwz3LWzqgS694MBw921k2zCB8FjPHI3PfJYKoDdBLyplCoHUEpV6ZzA\niBE92LhR65CH0ZG1UhmEzh4ocul/oY461rCaibgsGobYafgrFH7L/XDHvJfgvJvctWGXcEhfWzZ1\nEMR45G7i22fhAAAgAElEQVQKeSwVwIYB3UTkExH5UkRu0TmBwYM7U1amuVt3hAav1bfTCW5XPVzK\nYsYwlg50cM+IIXbCVeB9Bwpd3irvrYdFb8N533DXjl1CQX2NLVJwM1AycFPIY1nRyAFOAS4BLgJ+\nLiLDdE1g0KDOlJZqbPLajEYfFDiMVpQH3RNyP36+YClncpY7Bgzx0/Ac5H/dfeH57C0YfRZ06+Ou\nHbsEA/p2maZenZWk4GYaQywVwMqAKqVUI9AoIvOB8cBR29Aeeuihw/eLi4spLi4+5gQGDerM229v\niHfeMdGY4h75SpYzgIH0IAWq3RlAhaDhSejymvu25j4Pl3zbfTt2CQWsTUE6CO+nZEE5JQsf0jNe\nmuKmkB+uAAZUYFUAu7HFMe8Aj0cWRvOAicD/RhusuZDHysCBndzzyL3OPfKygDu7OsOEWcjnXM6V\n+gc32MM30+pik3uau3b27IRtK2HSZe7acUIoqNEjP0DxeedRPPXfufIPP/ywnrHTCNeEPMYKYBtE\n5CNgFRAGnlZKrdM1hx49CjlwoFHXcEfQ4IVeDvchbPXD2S6UiFjPOgooZIjGJsoGh9T/BQq/676d\nmU/D+TfrrfedypjFTsDlolkxVgD7E/AnN+x36ZJPdbXXjaG1LHZuCcAwzamHCsUC5jOZ4oyqqZLW\nBNZDcBUUXOeyHb9Vd/z389y14xRPlpW5ooPwIZN+SAbv7ATIz89GKfB6NdV1aEZ9IxQ6cHqUgu1+\nGKpZyCupoJEGRjBS78AG+zQ8DoX3gLicy7/oHRgwAgaNOvaxyUSXkKswqFqQTs7HSnMyes+2iNCl\nSz6HDnnJz9ebgtfQCEUOPPI9IejgsW46WcUqxjE+eR3hDUcSrobGl6HnWvdtffAkfO1e9+04RZuQ\n14IUud+0Og3I+L/27t0L2LevQfu4dQ3OQis7/DBYc8ZKmDBrWM1Y3OuMZIiTxhcgbxpk9XPXzu4d\nsGM1nJkGC9weTQ1vTZ2Vw2S8kA8Y0Inycv2bgg7VQWcHTn5pQL+Ql1NOHnmp2xGnvaEU1D8JRd9x\n39bCGVbd8Zw0qMmulJ6drcpUPmwi44V84MBOlJXpT0E8VAtdHITmSgMwSLOQr2XNUR10DEnE/wlI\nDuSc7b6tRe/AGS6XxdWFUnq26JtdnYfJeCEfMKCTK9v0nXrkOzV75GHCrGMNY4yQpw71j0Phve7X\nVanZD1uXw0lT3LWjCxXW8zsxTSUOk/FCPnCgO/VWqmugc0f755dq3tW5i3JyyKUnvfQNarBPcCsE\nFkDBbe7bWvoBjD8P8hzmwyYKXaGV8AGTQx4h44W8oCBbe/phKGTlkXcssj/G9gAM1Sjka1nLiYwx\nueOpQv2jUPBN8Dj4kMTK3BdSt9JhNHRt0TehlcMcU8hFpI+IPBvZgYmIjBaRu9yfmj50X9nW1Fki\n7rH5Nag01yFXKBNWSSXCB6wuQEUJ6JVZuQ22r4JJaRIfBwj4IEdDTr06YIQ8QixS9DwwG2jKn9oM\n/NCtCenGuorTq+TVtdDFQVilKmSVfeysKf11F+Vkk22yVVKFhr9Z/TjdTjkEmPWcVa42N40ah+gS\ncuORHyYWIe+hlHoVCAFEmkTo3yrpEkop7R75oVpn8fFtfr1dgdayhtEmrJIaKB/UPwZFP3LfVihk\nVTq8KK0ukI2Qu0AsQl4nIod/WyIyCXCnpKALhMMKjye1PHKd8XErrLLWhFVShcbpkD0Ocsa6b2vZ\nbOjWD4YmwJZOAn49+e5hk0feRCxb9O8H3gOOE5GFQE809tZ0G58vRH6+3koE+w5ATwefH52ph5VU\nIAi9SdEmAu0JFYK6P0DnvyfG3pznYeodibGlExXWk0eu6kBM9yuIQciVUl+JyGRgOCDAxkh4JS3w\neoPk5emtxbDvIPRwsDO4NAAjNYU017GW0ZxowiqpgPdN61I/d7L7tmoPwpcfwXf/5r4t3ShlP1Pg\niHGMkDdxTCEXkWysVmxDIsdfJCJKKRW1AUSq4fMFycvT65FXHXTukU/V8PlTKNaylqvT5wIpc1EK\n6v4bOj7s/gYggE9fgQnToGMa5lFr9cgTkN6pERHpBrwKDAZ2ANcppaqjHLcDqMFamwwopU5va9xY\nfpvvAbcB3YAOkZuDCHFiccUjPwA9HPz96Aqt7GMvQQL0Z4DzwQzO8M8GApD3tcTYS9ewClgFs7TU\nWkk/IQceBOYopYYDH0ceR0MBxUqpk48l4hBbjLy/Uipty+nV1Pjo0UNvG569B+DMk+2dq1Qka0WD\nkK9jHaMYbcIqqUDdn6DoAT2e5rGo3Aa7t8PJF7hvK1VRYVAN6RhauRxoir29AJTQupjH/Icdy6du\ntohcFOuAqcaBA410765XyPfsh942s54qglYN8k4aLhK2soVhDHc+kMEZgWUQXA8FNyTG3mdvWOVq\ndfW9TDQilkfjhCZvPBFfnHrprZTaE7m/B1rd/KGAuSLypYh881iDxvJJWAjMEBEP0LTIqZRSadGW\nY//+Rrp101uDwomQb/Hrae/mw0clFQw2fTmTT+3D0OEBkASVkF3wBtz+28TYcgMtQl4L4m6E9xf8\nV9Tnd5TsZGfJzlbPE5E5EDWN7IgBlVJKRFr7RZyllKoUkZ7AHBHZoJRa0JrNWIT8f4FJwBqllIZq\n8InF8sg1C3kV9O5h79zNfjhBw9/7TnbQj/7kkgb1pzOZwHIIfAFdX0mMvX1lULkVxhUnxp4rCJbD\n6YAECPmvaOXLsjhyiyAPHxkBUUpd2NqYIrJHRPoopXaLSF9gb7TjlFKVkZ/7RGQGcDrQqpDHcl1S\nCqxNRxEHOHjQS5cu+jqK+/1Q2wDdOts7f7Mmj3wrWzmO450PZHBG7UMRbzxBlQc/exMmXgbZmovZ\npxvhQ+BJi6BAS97FSh4h8vPtlgeISKGI9S0lIkXAVGB1W4PG4pFvBz4RkZmAP/Jc2qQfer1BCgr0\nfej3HoBe3eynwW7zw9UaPn9b2cIVpEFbr0zG/wUEvoKurybO5sfT4c7fJ86eG4SC4HEY3w8fAEnL\nXZ3/A7wWKTy4A7gOQET6AU8rpS7FCsu8FakRlQ38Uyk1u61BYxXy7UBu5Kbhuihx+P0hcnP1pR/u\nroI+NsMqANsCcLxDj7yGGmqpoT/9nQ1kcEbdz6HDz0D0XfG1yY61UL3Hqj2ezoQCzq8o0rTyoVLq\nAHBUupFSqgK4NHJ/G3BSPOPGsrPzoXgGTDWsDUH6hLxyn30hVwq2akg93BYJq3gyv5x86uJfAMGN\n0PXOxNmcNx3Ovxmy0rxrfDAAhQ6//Ex3oCNoVchF5HGl1H0i8l6Ul5VS6nIX56UNny+kdWenE4/8\nYGSVoZvDv8MtbOZ4Ex9PHkpB7c+hwy8Tl6kSCsG8l+A3sxJjz01CQeepk0bIj6Ct3+ZtwH3AI1Fe\nS4vQitcbpLExQMeO+v7YnAj5Fr8VVnGyqU2h2MZWphx9dWZIFP65EKqEgpsTZ3P5HOjaF4acmDib\nbhEOgcehNxM+CFmD9MwnA2hLyLcAKKVKEjMV/WzdeoAhQ7qQk6PvUnTvfhg22N65G30wwuF3yh72\nkEsuXTHeSFJQCmp/Ch1/DZLADTkzn4aLj7kvJD1QYedCrmrAYzN1LANp65PYU0R+RPRtommRtbJ5\n8wGGD9e7ILJnP5x1ir1zN/lhuEMht8IqJzgbxGAf7wxQQchPYKGyg3tgxcfwo38kzqab6Ki1ompA\n0jL90BXaEvIs0qg4VjQ2bdrvipDb3dW50Q9XOvyNbmULp3HMGjoGNwjXQ+39Vr3xRG4Nn/sCnHUV\nFGWKcCnnv79wTbrmkbtCW0K+Wyn1cMJm4gKbN+/n1FP19k10IuSbfDDMwfdKgABllHIdCarpYTiS\nul9BzpmQ1+rGPf0oZfXl/OGzibPpNto88rT2M7WS0flrpaU1DB6sL46mFJTthgE2mvEoZS12Ogmt\nlFJKL3pTQIJ2ERr+TWA1NP4DOiU4orh9ldXjcvSZibXrJgEf5DhNPzwE4qC7S4bRlpCnfVpEeXkN\nAwfqE/LqGsjOgk42KmdWBqHIYdXDrWzmBBMfTzwqDIfuhQ6/hqzWitW5xKevwrnXJaZZRaLwN0Ku\nQyFX1eAxQt5Eq0KulNqfyIm4QVnZIQYM0BdHK9sNA222xtRRY2UrW8xCZzJo/AcQgsIEZ40oBfNf\ng3OvT6xdt/F7Ic/hVWXYCHlz0rSg8bGpqfERDis6d9bUHJPkCnk99RzkIAMYaH8QQ/yEq6x0w26z\nEl/7esty6+cJNruYpCp+r7PQivJidUAzIcYmMjZGXlp6iIEDOyMaL0nLKu3Fx8HKWBnu4DtlG1sZ\nzBCySPPt2elGzY+g4BuQE1fpCz2U/AvOuTazwioQiZE78GrCkRK2mfZ7cUDGCvmOHdUMHar30qt8\nj32PfL0PRjsQchNWSQK+2eCfDx1+lXjboRCUvAxTbkm8bbdxuiFI1YMn7Vq8uYqrQi4i00Rkg4hs\nFpGftHHcaSISFJGrdNnevv0gQ4boFXInoZV1PhjtwAnZylYj5IkkXAOHvg2d/poc0VhVAl16w+DR\nibftNuGQszCVqk/Hpsuu4pqQi0gW8DgwDRgN3Cgio1o57vfAR8TRbPRYuOKR20w9bAhbWStDbQr5\nIaoJEqAHDurnGmJHhaH6Fsi7CPIvSc4c5r2Umd44WFcbTio4GiE/Cjc98tOBLUqpHUqpAPAKcEWU\n474LvAHs02l8+/ZqBg9ODY98o89q75Zt82uqjDIGMhDR9z1naIu6X0N4P3T6v+TY9zXCoreh+Mbk\n2HcbFTYeuWbcFPL+QFmzx+WR5w4jIv2xxP3JyFPaqipu2rSfESP0bc8Ph+0L+WaHG4HKKae/yVZJ\nDN6PoOHv0PX1xJWobcmS92H4adDNZhwv1QkFnTWWSEC/znTDTSGPRZQfBR5USimssIoWlzMYDLN1\n60GGOdkP34K9+6FjERQVxn/utgAc50ATdlFOfwbYH8AQG8EdcOh2q5FyVt/kzaPk5cz1xsF5q7ew\nKZjVEjfzyHfBEW7kQCyvvDmnAq9EUgR7ABeLSEAp9W7LwR566KHD94uLiykuLm7V8PbtB+nTpwOF\nhfp6de6ogME2y7Zs98NJNtNmw4SppCI12rqFD0BoF4QrrHrcTT+z+kPOGZAzATxpesmrvFB9DRQ9\nALnnJG8eddWwYl7mVDqMhtPGEurIglklJSWUlJQ4n1ca46aQfwkME5EhQAVwPXCEm6GUOq7pvoj8\nA3gvmojDkUJ+LDZsqGLkSL0LgzsrYIhNId8WgKtsOhD72EcHOia3vop/qVUwyj/fKubv6QdZ/cDT\nF7KPh9BOqH0QgqsgawTkToLcYsi/AkTfhixXqfkBZA2Foh8mdx4LZ8BJ50OHDN61GNYg5PLv0hst\nHbuHH07rWn+2cE3IlVJBEbkPmIVVEvdZpdR6Ebkn8vpTbtlev76KkSP1lq/d6cAj3+KgT2c5ZQxI\nVljFv9AS8MA66PAgdH2j7UbDygeB5RBYDA1PQ819UHAHFN4D2ce1fl6yqX8UfCXQY2nyN5nMewku\n+XZy5+A2oaCzPPJwDYjJI2+Oq1v0lVIzgZktnosq4EqpO3TZXbNmL5Mn22zj0wo7dsFoG20yG8Kw\n20HqYRmlDCLBLa0CX0HNTyC0FTr8FLq+G9vCn+RFvPFJUPQDCG6Ghr/B/omQcxoU3gt5l4CkyO5U\npaD2Z+B93dqCn+z61ntLYesKmHRZcufhNmGn6YcN4Ompbz4ZQEbu7Fy7dh8nnthL65g7dsFQG46x\n09TDUnYyCL1fSm3imw0HpkHBjdBzk1Uoym72RvYw6PQI9CqF/Ouh7jew7zio+x2E9uidd7yoABy6\n0+q/2f1zyB6a3PkAfDwdJl/vvDJgqhNy2LNT1afvWoxLZJyQh0Jh1q/fx+jRer+xd+yyFyNf74dR\nNsPE9dRTSy29SFDpVO/7UH0zdH0bCu8C0bRYLAVQeBv0WAJdZ0BwO+wbCQdvAv8CyzNOJOE6OHgF\nhPdCt3mQlQLenVJWJ6ALbkv2TNzH8Rb9BpNH3oKME/Lt26vp2bOITp30LbIpZT9rZYMPRjoIq/Rn\nAJ5E/Dc1vgmH7oauH0DuWe7ZyTkFujwNvbZbIZjqb0LVKeB9NzGCHj4AB863Fmq7vpM6nt36RdYm\nmRHtoI2fli36NvKAM5iME/LVq/cwZozesErVQSjIgw42/uY3+GGkze+UUkoTE1ZpmG4tTHb7CHJP\nc98eWLWki74HPddDx19aser9E60NOW4Jum8+7J8MuedC52dAUqiK87yX4IJbk7/YmgjCIYdZK/Vm\nQ1ALMk7I16zZy9ixeoXcSbGsjQ49cteFvOHvUPv/rBBDMkq1ikD+16HHCij6T6j9Eew/G3xz9Qm6\nfwnsn2pt9il6ADr+MbUE0++zGkgU35TsmSQGx3nktSZrpQUZJ+SrV+sX8tIKGGQjrBJWke35Njzy\nIEEqqXA39dA3F2p/Bd1LIOeoemaJRTxQcC30WA1F/wGHvgv7hkHNTyGwwp6oB1bAgcvh4DVQcA30\n3AiFt6SWiAMs/QCGjIU+Q5I9k8TgNP1Q1Rkhb0HGCbnlketdHLTrkZcGoFsWdLDxW95NJd3oRj4u\nZTCE6+HQt6Dz3yE7hcrjShYU3AQ910HX14AwHLwK9o2wwi++eRBYZe0wVb5/nxeutnLB6/8Pqu+E\nfafCgYsh7wLotRkKv6Vv8VY3H79ohVXaC45DK+kr5CJyrYisFZGQiJzSxnExlQBvIoWChM5paAiw\nY0e11mJZYG0GGmSj9MZGP4ywHVYpY6Cb+eN1D0HOpOSVaT0WItbCaM4p0PG/rdx276tQ97BVmTC8\n32rDJvlWvFTVQPY4yBkPORMt4c45qe0NTKnAoSqr9viPX0z2TBKH4w1BdemctbIauBJodUNksxLg\nF2CVOvlCRN5VSq1v7ZyMEvLlyysZM6YXeXl639aWUjjDRvh4o8/+QucuyjkOl3ZDBlZA4wvQY407\n4+tGBHInWLfmKGXFS1U1ePqnzkajePjkZZh4GRS1oyJQYad55HVp2yFIKbUBOFYLysMlwCPHNpUA\nb1XIMyq0snTpLk4/XX9xqU07YJiNNUcnHvkudrlT8VCFrJBKx/+GLL1rCQlHxNqNmTUoPUUcYM7z\n7SN3vDnhsP2dnSoEBMCtkGNqcMwS4C3JKI983rwd3HDDiVrHDARg+y4YPiT+czf64XIbWVKNNFJL\nDT1wYaNKw5NWuKFAW0UEg122rYKaKhh/XrJnklic5JE3NZVIwIK1rGvlhaUl8EVJ6+eJzAGirar9\nVCn1Xgym417Zzxgh3727js8+K+Vf/7pa67jbyqFfL8i3ESLZ4LPnkVdQQR/6koVmLzNUDrUPQfcF\nzjZkGPQw9wWYcquzuiPpRjhs/fQ4FPIEoFprlzq6GG4vPvxQ/npktUWl1IUOTcdSAvwIMuav+eWX\nV3PFFSPo0EFvV5dNO2CkjTIcdWE4EIJBNhIlStmhf6FTKTj0HSi6L/mphgZrwe+TlzO3L2drqLB9\nEYe0zliJQmuXFYdLgItILlYJ8KjlvZvIGCGfPn0Vt902Xvu4duPjm3xWezePjSvA7WxnKJqLOHnf\niFQz/H96xzXYY9kc6D0YBo5I9kwSi1IOt+ent5CLyJUiUgZMAj4QkZmR5/uJyAdglQAHmkqArwNe\nbStjBTIktLJq1R72729g8uQh2sfetAPGj4z/vA1+GGEjHBMgQAW7GMyQ+E9uDRWG2l9A58fSp9FD\npvPxdDi/nXnjYIVWnMS3VX1aC7lSagYwI8rzFcClzR4fVQK8LTLCI58+fSU33zwOjx339xhs2gnD\nbXjkdotllVNGL3qTh0bB9b1vFYfKnaJvTIN9Gmrhiw+tkrXtDoceeTh9Uw/dJO2FPBQK8/LLa7jl\nlnGujL9xu73QynqbOeQ72anXGweo/5NVxyTVtqa3Vz57A8ZOhs562xGmBY498rTeDOQaaS/k8+fv\npHfvIkaN0p+qV10DtfX26qys9cGJNoR8N5X0w2ZPuWgEllv1v/Ov0jemwRmznoOp7TX902mM3GvV\ntzccQdoL+csvr+bGG8e4MvbaLTDq+PgdCF8YtgfspR5WUkkfbNQDaI36v1hFqFK1zkh7Y9dm2LUJ\nTr/02MdmIk49chrJ8M1AtkjrxU6/P8Rbb21g+fJ7XBl/7RY40Uafzk1+GJIDeXF+TXrxUk8d3dFU\nKya0F7xvQ68tesYzOGfWc3D+zZDdTr9YlXIYWvGmfv2cJJDWHvmsWVsYPbongwZ1dmX8tVvgRBuF\nAZ2EVXrRW19HoIanIP9a8OgtImawSShobQK66K5kzySJGCF3g7QW8pdeWs1NN7kTVgFYv80KrcTL\nWh+MtiHkFVTQV1dYRfmt7fhF39MznsE5y+ZAr0EwuLUtg+0AxwWzGo2QRyFthby62stHH23h+uvd\nE/IN22CUjQKEdj3yCp2Fshpfg+wTIce9348hTtpLc+W2CAYgy0FYSTWYfp1RSFshf+ONdVxwwXF0\n6+bOCnZdPVRV22u4vM6mkO+iXI+QKwX1f4aiHzgfy6CHumr48qN2mjvejGDA2fqAEfKopK2Qv/ji\nSm691Z3ccbA2Ag0bHH89I18YdgRgWJwZK1bFw1p6oCG3OPC5Vac772LnYxn0MP81OPkC6Ngt2TNJ\nLkE/ZDuoh6QajZBHIS2F/IUXVrBlywEuvniYazbWb7VXLMtuxkqlzoqH9Y9asXFT4TB1mPO8Vemw\nveO48XIDYPLIW5JW6YdKKf74x4X89a9fMG/ebeTmulf+c9UmGDc8/vPW+mCMzYVOLRuBQpXg+xg6\nP+98LIMedq6D3dvhNHOF5FjIMRuCopE2Lls4rLj//tm8+OJKPvvsTkaOdHd786qNMM5GYbo1toV8\nF/3abgISG97XIP9yU48ilZj1LFx4e/vNHW+O48bLJv0wGmkj5LfcMoOlS3exYMEdDBjgfn/DlRth\nvE0hH2vjc1ZJBX11eOSNL1td6A2pQcBvVTq86M5kzyQ1cNp42Qh5VNImtFJX52fOnFsoKHDfq9l3\nABq8MNBGSvdqL5wYZytML15qqHG+0BncCqEdpsphKrH4XRh8IvR3bz0nrXAcIzd55NFIGyF/883r\nyM5OzAXE2i0wZlj8G9AawlARhBPiXJTX1trN+xrkXw2SNv+tmc+c59txgaxo6CiaZYS8JWkTWkmU\niAOs2wqjbezo3OCz0g6z4/wC2EU5A3Tkjze+BvnXOR/HoIdDVbBmAZx5ZbJnkkF4MVkrR5M2Qp5I\n1m+1t6NzvR9GJWsjUHALhCsh9xxn4xj0Mf81OO0SKOyY7JlkDsYjj4oR8iissynk62zWWCnX4ZF7\nX4+EVdpRR/ZU5+MXrUqHBn2YGHlUjJBHYb3NGivrfDAqzvh4LTUE8NMVhzv+Gl+zKh0aUoMda2Bv\nKUy4KNkzST2UcnCu8cijYYS8BQeqoa7BXlegVV4YF+dnbFckf1xwUNozuAnCu01YJZV47wm4+FsO\nN79kII6zVoyQR8N1IReRaSKyQUQ2i8hPorz+DRFZKSKrRORzEXGvgEoMNNUgjzdjpTYEu4Px11ip\npML5RqDGVyH/GhNWSRXqquHTV+ASdxqepDVOhFwpwAc6G5NnCK4KuYhkAY8D04DRwI0iMqrFYduA\nc5VS44BfA393c07Hwm4zidWR+HhWnF8AWrbme1+DgnZeVS+VmPUcTLgYumts2ZcpOKp+GAQ8xmGJ\ngtse+enAFqXUDqVUAHgFuKL5AUqpRUqpQ5GHS0BXQW57rInkkMfLSi+Mt3HFZ23NdyDkgXUQPgg5\nZ9ofw6CPUAjefwKuMA09ohIK2q9HrnwgxhuPhttC3h8oa/a4PPJca9wFfOjqjI7Bms32PfJxcX7G\n6qgjSJAudI3fYBPe1yNhFbPckRIsnwNFXWDkxGTPJDUJBeOvDX0YE1ZpDbdXYmJenhaR84A7gbOi\nvf7QQw8dvl9cXExxcbHDqR2NUvZrrKzzwdVxpgtXsIu+9HO20OmdAZ0fs3++QS8fPQsXf9Nhp/gM\nRoXtOx2qMWrlw5KSEkpKSpzNK81xW8h3AQObPR6I5ZUfQWSB82lgmlLqYLSBmgu5W5Tvhvxc6GWj\nV7GdPp2VVDrr0RncZm0CMmGV1KB6n+WR//CZZM8kdVEOtui3IuQtHbuHH37Y5uTSF7evx78EhonI\nEBHJBa4H3m1+gIgMAt4CblZKbXF5Pm2ybB2cNDL+8/YFIaigT5xfi44rHnrfhrwrzOJPqvDxdDjj\nCijqnOyZpC4qbP9qpRUhN7gs5EqpIHAfMAtYB7yqlFovIveISFNu1i+ArsCTIrJcRJa6Oae2WLoa\nThsb/3lrfdbW/Hg/n5ZH7kDI/XMgb5r98w36UApmPQMX3ZXsmaQ2SjkQ8vTPIReRa0VkrYiEROSU\nNo7bEUnJjkkTXd+toJSaCcxs8dxTze7fDdzt9jxiYfFKuP/2+M9b64OxcYZVGmmknjq6YyOOA9YK\nvv9z6PKyvfMNelm3EMJhGGM2ZbWJow1BGbHYuRq4EnjqGMcpoFgpdSCWQc22swihEHyxBiaOj//c\n1T4YE6ejUEklfeiLx+5FkX8hZI8Cj4OMF4M+Zv7d2slpFjnbxtGGoACIg8bNKYBSagOAxPY5ifnD\nZHLWIqzbCn16QPcu8Z+7xhu/R+44Pu6bA3lT7Z9v0EfNflj0DlxgmisfE0d55P60F/I4UMBcEflS\nRL55rIONRx5h8Uo446T4z1PKXp/OSio4HhsJ603450DHR+yfb9DHO4/B2ddAZ3f7yGYEYSehFT+Q\n+n1PRWQO0CfKSz9VSr0X4zBnKaUqRaQnMEdENiilFrR2sBHyCItXwkQbVV7KglDggR5x/iYrqOBs\nbMZTw/utQlm5k+ydb9BHfY21k/ORz5M9k/QgFHKQfhggkUIuo1t5ob4EGkpaPU8pdaFT20qpysjP\nfbBHInkAABJASURBVCIyA2uXvBHyY7F4JfyHjZ7FK70wPk5v3IePQ1TTkzibex4eYJ5V6bD9XGam\nLu89AadMhQHDkz2T9MDRGkIooam2al1rrxRHbhYitvPWo/4yRKQQyFJK1YpIETAVaNOIiZEDNXWw\nswLG2qyxEm/p2t3sphe97Pfo9M+FvAvsnWvQR2MdvP0o3PBfyZ5J+uDxWLnktgiB0762SUZErhSR\nMmAS8IGIzIw8309EPogc1gdYICIrsOpPva+Umt3WuMYjB75YDSeNghwbV20rvfD1TvGdo2Whs9AU\nZUo6H/wNxk6Gwa1dgxuORuwLuUp/IVdKzQBmRHm+Arg0cn8bENeKnfHIgSWrYKKNjUAAK33xh1Yq\nnZSuDW6zNkZkG/FIKr5GePMRuPFnyZ5JeuHxWPn2tkhsaCWdMEIOLF4Fk2zkj9eHoSwAI+IU8gon\nHrlvjhVWMfnKyWXuizB8AhyX1D4o6YdSlpjbIogJIkSn3Qu5UvZTD9f6YGQe5MShqUGC7KeKXvSO\n3yCAfzbkOl4UNzghFIK3HoFr/jPZM0k/HFU/DICkfvphMmj3Qr69HHJzYEC0rM9jsMpGxspe9tCd\n7uTYSaNSQfB9YhY6k82S96BDV7Md3w5hB0KOHzCZWtFo90K+aAWcYSOsArDKF3/GiqOFzsCXkDUA\nskwLsaTyxh/h6h+b8JYdVNh+aMV45K3S7oV8ySp7G4HA8sjj3ZpfQQV97NYg982BPBNWSSrrFsGB\nSjjrqmTPJD0JO9gQRGI3BKUT7V7Iv1wLE8bEf17T1vyxcXrkFeyif5vd7trAN9vUV0k2//o1XHW/\ng3Zl7Rwni50ZUDTLLdq1kAeDsGojnDwq/nP3hKyfveP4ew4SZC977YVWwjUQXAG558Z/rkEPKz+B\n8o1WKzeDPRzHyI1HHo12LeQbtkO/XtA5zl6bAKu9cGKczST2soeudCPXzoKNfx7knGE6pCSLcBie\neQBu+y3kGK/QNiZG7grtWsiXrYNTbO6rWeWDcXHHx01YJW2Z/5r189zrkjuPdEeFiaPMdgtMjLw1\n2rWQL1kFp9mIjwOs8MJJNppJ2G627JtrFjqTRcAPL/wM7vq9g80sBsdkwBZ9t2jXn8pFK+DMk+2d\nu9wLJ9soltXbjpCH9kB4H2TbrCNgcMZHz0Df4+Gk85M9k/THk2VlrtgibLbot0K73e9aVw8bd9gL\nrTSGYavfipHHSpgwe9lDn6j15o9BYJFVe9z2IpFmAn7w1kFDLXjrLZHLTfteitHx1sO/fgMPv5/s\nmWQGniwH1Q/DtHPfs1XarZB/sQbGDYc8G+tWq30wIhfy4vhMVVNNPvkUYGOx0r/QWuhMFjX74bXf\nw5znoeGQtUW9sCMUdIScPKg/BFNugWl3wyAbKUCpzIxHYey5MKzVhueGeBCPM4/cCHlU2q2QL1ph\nr74KwLJGO2GVSnrb8cYB/Iug4y/sneuE+hqr3vY7f7Famf15EfTob4l383Sdii3w0bPwk/Oh3wlW\nE+JzroG8NM+wOVQFM/4Mjy5O9kwyB0+W5QjYIoQR8ui029/KZ8vgLJvx8a+8MCFOjbIWOm3kjys/\nBJdDzsT4z7WLtwFe/yPceQLs2gyPLoHv/Q36HQ+5+UfnXPY7Ae78b5heClf9CEpehjuOh3n/tDaA\npCsv/xom32C9P4MmnGwIMmVsW6NdeuQ+vyXkL/3e3vlfeeGuLvGdU0kFp3Bq/MYCKyDrBPDE2b3C\nLrUH4SfnQZ+h8IeS+JomZOfAWVdat/WL4bFvw+zn4D+egIEjXZuyK2z+yvpCemptsmeSWYTDDmrU\nhDFZK9Fplx75Z1/B6OOhW5xiDOANwwYfjLdRLMtWM4nAQsg9M/7z7OCth19cCuPPg5+/5azzzahJ\n8NiXMOlyuP//t3fn8VXVZx7HP98EUgxgUWOJLDMuYC06hQBWZqgFBClite0UC7aK0tEyLaKdtlaB\ngTpUxqlLbaVqW3fri8UptVOsFCIoLxGCVRbZRKOGsgguqFFZAskzf5xDG2OC9557z93yvF+v+7pL\nzvK7N+G5P37n+T2/z8P9/xksxpAPPqiF/x4dfAF1iriuqmuBpXDR3odWWtIqP5VFy+GLA6Ptu24/\nnFwCRyTxyb1HLQc5yCeJ8M1RtxzaZiCQ1+2H6V8Nes6X35Keyn7FbeArV8Eda2HHSzD+VFi/LPXj\nxskMbhsPFcN88k8cUumRex55i1pnIH8ahkcM5M/thb4Rx8cVZUZb3XIoiTljpaEBbrkE2nWAq36T\n/kkvZV1h8lz491/AjAvgrquhbl96z5Euj94JWzbA+Fuz3ZLClcrQSq6k4OaYVvep7HoTanZEL127\nah/0y1QN8vqtQB0Un5j8vokyg7t+AG/tgGtnBb3ouAw4D+58HnbVwIQK2PxMfOeKYvMz8NB1MHVe\n/mfc5CophQvgnn7YklZ3sfPxFTDkc9Am4jtftQ/GJTlCspOdnEKE/Oq6FWGhrBgXMJh3C6yqhJuf\nCjJS4tbpWJjyMCydCz8+L8g9/8a07E8oqn0LZnwdrvw1dO2Z3bakSd3773P3gAFYfT1d+veny+mn\n06V/f8r79KFtaWl2GiWlsPiyEb1OS2FrdV9vi5bD8IhDznUGGyNc6NwZtcbKgap4h1U2VcHvfwbX\n/xk6HhXfeZqSYPCYYOy8Zj1ceTq8ui5z52+qoQFuvAjOvCDIuCkQS6ZO5biKCr42Zw7/OGgQb2zc\nyIKJE7mxrIzFkydnqVUiCMhRGK0wZCWkVfXIzYLx8Wnfibb/hn1wQgmUJvG3tJ/91FLLMZQlf8K6\nFdDxhuT3S9S918Il18Ox3eI7x+EcXQ4//kMwY/Tas+DCqfDliZldQs0M7vlRkLHzrRg/6wzb/swz\nrJ81i+9u2EBpWRnlvXvT97LLAKjdvp07TzuNQdOm0aZdBv4X1lhKQyveI29Jq/p6W/citD8CTvqH\naPuv3gd9k/y738VOjuVTFCd7td32w8Hnoe3pye2XqOeXwlvbYdjYeI6fKAmGj4Nbq2Dxb4PMmfd2\nZ+bcZvCbH8CaJTDtkXivD2TQgT17eGTsWM6ZOZPSso92II7s2pVje/WiZunSzDeuqDiFoRXXklYV\nyFPJVoHoFQ+jFcpaBcWfhqL2ye+biFnTYcyU3AleXU6Cnz0dFOCaUBF/mmJDA9wxETYsg/9ZDEce\nE+/5MujxSZM4rqKCU7/ecvpkj5EjqV6wIIOtChUVQ8PBFA6QxzOFY9SqAvnCp6Pnj0PUQB5xfLwu\nrHgYh/XLYOercNY34zl+VG1L4Nu3wIQ7YMYouPlS2Lo5/edpaICZ34HqVXBDZWavD8Ts1SVL2DRv\nHiNvv/2w2/U85xxeeuyxDLWqkZRqrfiwSktaTSDfsxeq1sKQiCVLGixYFSjZxSQi1yA/sCK+ioez\nfgKjJwVT6nPRGefCXS8EvfMfngk3jAkuiqZDfT38/DLYuglmLIT2n0zPcXPAvnff5f/GjeP8u+/m\niKOPPuy25X36UPfee+yurs5Q60LFqdQjdy2JNZBLGiHpBUkvSbqmhW1uC3++VlLEMlYfb9kq6H0K\nHNkh2v7VdXBMMRyVxFB3SjXI66ri6ZGvXxYsIDzskvQfO506dIJvToX7XoYe/WDSMLhpLOx4Ofox\nd20JvhRe3wLXLwhK8RaQpdOnc+LZZ9NjxIiP3VZFRfTIRq88pYUlIN+HViTdJGlTGO9+L6nZnkQi\nsbOx2AK5pGLgl8AIoBdwoaTPNNlmJNDDzHoC3wbujKs9i6tgaAoFBJ+LMBFoN7sppT3taH7HJ598\nsvkd67eD7Q2KZaWTGdx7DYydHtsCwi2+p6hKO8IFV8M9L0H5ifC9M+DaofDErMRmh5oFF3Z/8jW4\noi90Ph6m/wnaJXftIe3vK83eqalh7QMPcNaMGYnvc8IJvDh/foytakZxmxQCeUFkrSwCTjWz3sCL\nwKSmGyQSO5uKs0f+OaDazGrM7AAwB/hyk23OBx4AMLOVQCdJneNozJKVMDSFkYpVETNWymn57bQY\nHOpWQskZ6U/Dq5oPe2phSHxj47EFvNKOcPF18NC2oN555f1wUbfgguXmv8Drf4WdNfDaK0F99G0v\nwsJ7gwunt42HPkPhwS1w+U2RJj7leiBfN3s2p40ZQ4fOif/zqd67l21VVeyvrY2xZU0UFUN9Khc7\n8zuQm1ml2d+WSFoJNJf7m0js/JA4Uxa6AlsbPd8GNO0TN7dNN2BXOhvy9rvwwivRp+VDsJjE1Umm\nggfj41EyVlamv/54fT3cPxnG3RCMU+arknYwaHRw21kDlffBTRcHeeBFRUEtjkP33U+Bf7sxKIBV\n4IsmVy9YwOcnfaRzd1jFJSV0HziQlxctoteoUTG1rOlJU+2RF5RvAbObeT2R2PkhcQbyRD/1pl+x\naf9tvbINvjos2rJuhxQp+R650UB3IiSt2z74xBeT3+9watZBWTc440vpPW42lR8PF/9XcGvFGg4e\npL6ujuMHD056316jRvHOli3pb1RLOhwV1LqPovhEKMr9DCNJldBsD26ymc0Pt5kC1JnZrGa2Sz4G\nmlksN2AA8OdGzycB1zTZ5lfAmEbPXwA6N3Ms85vf/Oa3RG9piF+xnQ+4FHgaaBc1dja9xdkjfxbo\nKel4YAcwGriwyTZ/BK4A5kgaALxjZh8ZVjGz/B4Yc87llbhijqQRwNXAIDNr6Wp9IrHzQ2IL5GZ2\nUNIVwEKCavD3mNkmSePDn//azB6TNFJSNfABMC6u9jjnXA6YCZQAlQqSGVaY2XcldQHuMrNzW4qd\nhzuoLJ8Xx3XOOZfbMzuTTYrPB5LulbRLUhbrtqafpO6SnpC0QdJ6SVdmu02pktRO0kpJayRtlFQ4\n5REJ8pUlrZaU4WTyeEiqkfR8+J5ybNWSeOVsjzxMit8MDAO2A38BLvy4/2LkOklnAu8DD5rZP2W7\nPekiqRwoN7M1kjoAzwFfKYDfV6mZ7ZHUBlgG/NDMcnzh0cRI+j7QD+hoZudnuz2pkvQq0M/MMlQ+\nM3fkco886aT4fGBmTwFvZ7sd6WZmO81sTfj4fWATRFnfLreY2Z7wYQnBeGVBBAlJ3YCRwN3k+yyb\nDyuk95KwXA7kzSXFd81SW1wSwqvtFQQz1/KapCJJawgmqT1hZhuz3aY0uZUge6KQioMb8LikZyVd\nnu3GZFIuB/LcHPNxhxUOq/wOuCrsmec1M2swsz4EM46/IGlwlpuUMklfAl43s9UUVg92oJlVAOcA\nE8JhzFYhlwP5dqB7o+fdCXrlLkdJagvMAx4ysz9kuz3pZGbvAn8C+me7LWnwL8D54ZjybOAsSQ9m\nuU0pM7PXwvs3gEcIhmdbhVwO5H9LipdUQpAU/8cst8m1QEFS7D3ARjP7ebbbkw6SyiR1Ch8fAZwN\nrM5uq1JnZpPNrLuZnQCMAZaYWZbX/EuNpFJJHcPH7YHhQEFlhh1OzgZyMztIMOtzIbARmJvvGRAA\nkmYDy4GTJW2VVCiToAYCFwFDwvSv1eEstnx2HLAkHCNfCcw3s8VZblMcCmEYszPwVKPf1aNmtijL\nbcqYnE0/dM45l5ic7ZE755xLjAdy55zLcx7InXMuz3kgd865POeB3Dnn8pwHcuecy3MeyF3WSZoS\nlr5dG+aft5oZec6lQ5xLvTn3sST9M3AuUGFmByQdDXwiy81yLq94j9xlWznwZliqGDPbbWavhYsE\n/DRcKGClpJMAJJ0nqUrSKkmVkj4Vvt5B0n3h9msl/Wv4+nBJyyU9J+nhcPq2cwXFA7nLtkVAd0mb\nJd0u6Qvh60awGPdngV8Ch+q3PGVmA8ysLzAX+FH4+lTgbTP7rJn1JphaXwZMAYaaWT+CxS6+n6H3\n5VzG+NCKyyoz+0BSP+BMYAgwV9Kk8Mezw/s5BPWzIQj6DxP05EuAV8LXhxIUVjt03HfCcq29gOXh\nQrclBHVunCsoHshd1plZA7AUWBquZXppc5uF9zOBm83sUUmDgOsabdNcbe1KM/tGGpvrXM7xoRWX\nVZJOltSz0UsVQE34eHSj+0M96SOBHeHjSxvtVwlMaHTcTkAVMLDR+Hr7JudyriB4IHfZ1gG4X9IG\nSWuBU/h7L/uo8LWJwH+Er10H/K+kZ4E3+HtP/fpw+3VhKdPBZvYmQbCfHR5nOfDp+N+Sc5nlZWxd\nTmrNK6I7lyzvkbtc5T0M5xLkPXLnnMtz3iN3zrk854HcOefynAdy55zLcx7InXMuz3kgd865POeB\n3Dnn8tz/A3OHB+00z3BBAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.title('Space-time effect')\n", "plt.contour(space_grid, time_grid, truth_f_grid)\n", "plt.xlabel('Space')\n", "plt.ylabel('Time')\n", "plt.xlim(space_grid.min(), space_grid.max())\n", "plt.ylim(time_grid.min(), time_grid.max())\n", "plt.colorbar()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot just the space multiplier effect (from the other kenel) " ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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sglBvEyZlTo1wINRzFkIN0JybY/XkSas5qkJjZobW6fGP5Y3qdTuLujGV1fsIlIJ3Qu06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\nHXiOKuFLunywqEcb74TaZRy1iLlFbU6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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.title('Space multiplier effect')\n", "plt.contour(space_grid, time_grid, np.exp(truth_log_e_s_grid))\n", "plt.xlabel('Space')\n", "plt.ylabel('Time')\n", "plt.xlim(space_grid.min(), space_grid.max())\n", "plt.ylim(time_grid.min(), time_grid.max())\n", "plt.colorbar()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now lets make a model for our observations" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [], "source": [ "likelihood = GPy.likelihoods.Poisson()\n", "inference_method = GPy.inference.latent_function_inference.Laplace()\n", "full_kern = kern_f + kern_s_effect\n", "m = GPy.core.GP(X=known_X, Y=known_Y, kernel=full_kern, likelihood=likelihood, inference_method=inference_method)\n", "m.randomize()\n", "m.optimize(messages=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot overall rate predictions" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [], "source": [ "pred_mean, pred_variance = m._raw_predict(X)\n", "pred_mean = np.exp(pred_mean)\n", "pred_mean_grid = pred_mean.reshape(space.shape[0], time.shape[0])" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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LWutHRkbG3SdYBAFoSXfS4Bh4S1VmFxBMcob1byo5OQMn11s7dFTaYJJ0yah8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\n0oaiMwA+T3w070t+P1oWvwp9AUiK2kibOhEcionG64PlKO3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UKYtGsx8AnS4euEbFihX/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InGlfalPLPCaVzrBbQn/sKgUWPU6cg+vIsXXyi8ZqwCN/RW7O2Ks2VV55n3QikL1Ggt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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.title('Overall predicted rate and observations')\n", "plt.contour(space_grid, time_grid, pred_mean_grid)\n", "plt.scatter(known_X[:,0], known_X[:,1], c=known_Y, alpha=0.7)\n", "plt.xlabel('Space')\n", "plt.ylabel('Time')\n", "plt.xlim(space_grid.min(), space_grid.max())\n", "plt.ylim(time_grid.min(), time_grid.max())\n", "plt.colorbar()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot effect from space-time kernel" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true }, "outputs": [], "source": [ "pred_mean_space_time, _ = m._raw_predict(X, kern=m.kern.space_time_kern)\n", "pred_mean_space_time = np.exp(pred_mean_space_time)\n", "pred_mean_space_time_grid = pred_mean_space_time.reshape(space.shape[0], time.shape[0])" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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X1wDS0zNITc3A1dX/Cq2UXmRlZd3k3BVFcnIGev3VHYXOztVISspg+/ZoLBYb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\nwPX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IzJbLGQOXHsl9AvDZvCW4tphMYDnb4u+lPz5jx44ddO7c+aGdpcH3XaHL9DyNt9Vq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\nmOIw4A4cOHBQTHEYcAcOHDgopvwfZFqqUm76URwAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.title('Predicted space-time effect and observations')\n", "plt.contour(space_grid, time_grid, pred_mean_space_time_grid)\n", "plt.scatter(known_X[:,0], known_X[:,1], c=known_Y, alpha=0.7)\n", "plt.xlabel('Space')\n", "plt.ylabel('Time')\n", "plt.xlim(space_grid.min(), space_grid.max())\n", "plt.ylim(time_grid.min(), time_grid.max())\n", "plt.colorbar()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot effect from just spatial effect multiplier" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [], "source": [ "pred_mean_space_time, _ = m._raw_predict(X, kern=m.kern.space_effect)\n", "pred_mean_space_time = np.exp(pred_mean_space_time)\n", "pred_mean_space_time_grid = pred_mean_space_time.reshape(space.shape[0], time.shape[0])" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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QBFRFqGEbnAJDyDaaKoTXyknMW4QOHZqTmvo3ZnMOOTnJWCyn6NatCzpdImlp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\nGkvdSqEMe7O/xYJeISEhzJz6J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eWyR5Gmr1I2wtzwym3gP9u4gff/XyDPC8XTsxKCIKBQ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\nhoSxSmFMAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.title('Predicted space-time effect and observations')\n", "plt.contour(space_grid, time_grid, pred_mean_space_time_grid)\n", "plt.scatter(known_X[:,0], known_X[:,1], c=known_Y, alpha=0.7)\n", "plt.xlabel('Space')\n", "plt.ylabel('Time')\n", "plt.xlim(space_grid.min(), space_grid.max())\n", "plt.ylim(time_grid.min(), time_grid.max())\n", "plt.colorbar()" ] } ], "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": "2.7.10" } }, "nbformat": 4, "nbformat_minor": 0 }