{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Fitting a line to Poisson data" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import oktopus\n", "from oktopus import UniformPrior, PoissonPosterior, PoissonLikelihood\n", "import numpy as np\n", "import matplotlib.pyplot as pl\n", "from matplotlib import rc\n", "rc('text', usetex=True)\n", "font = {'family' : 'serif',\n", " 'size' : 18,\n", " 'serif' : 'New Century Schoolbook'}\n", "rc('font', **font)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "x = np.linspace(0, 5, 100)\n", "def mean(m, b):\n", " return x * m + b\n", "poisson_data = np.random.poisson(mean(2, 10))" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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GACDKUivudcE6FHZRtDRfvnBRqne1P96f1ViH/8W2I2HMkXphF0VL8xVfkzpX++P9WZ3U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\nmgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pl.step(x, poisson_data)\n", "pl.ylabel(\"Counts\")\n", "pl.xlabel(\"Bin number\")" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "unif_prior = UniformPrior(lb=[0.5, 4], ub=[4, 16])" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "poisson_posterior = PoissonPosterior(poisson_data, mean, unif_prior)\n", "poisson_likelihood = PoissonLikelihood(poisson_data, mean)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ " final_simplex: (array([[ 1.92604805, 9.77487277],\n", " [ 1.92607622, 9.77480278],\n", " [ 1.92607876, 9.77484013]]), array([-2475.59161988, -2475.59161987, -2475.59161987]))\n", " fun: -2475.591619875926\n", " message: 'Optimization terminated successfully.'\n", " nfev: 66\n", " nit: 34\n", " status: 0\n", " success: True\n", " x: array([ 1.92604805, 9.77487277])" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "result_posterior = poisson_posterior.fit(x0=(1.5, 11))\n", "result_posterior" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ " final_simplex: (array([[ 1.92604805, 9.77487277],\n", " [ 1.92607622, 9.77480278],\n", " [ 1.92607876, 9.77484013]]), array([-2479.32928949, -2479.32928949, -2479.32928949]))\n", " fun: -2479.3292894942092\n", " message: 'Optimization terminated successfully.'\n", " nfev: 66\n", " nit: 34\n", " status: 0\n", " success: True\n", " x: array([ 1.92604805, 9.77487277])" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "result_likelihood = poisson_likelihood.fit(x0=(1.5, 11))\n", "result_likelihood" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Si689S7QXMsyex/aNBynwU+RvX05B8VI2+ptw7vAc8xxjMMl2B5dVVGC2O0nKuIeQuMmw\naPaxTWkHTmgynHXkBQJngwQ2IYQQogM6ePBg3cKArKwscnJy+OSTT5gyZQqRkZEkJSVx8803Y7FY\nGDVqFCEhIXXPDQoKavbr1NY5lWyrxOpvwlq8lP1+H7IixI+ns1cCEKxMJLnd/PJIOSl2J8lpt9Mr\n4YLjZ87iJje5Ka2Es1OTwCaEEEL4OLfLSdlPW9m8OYpBgwaRl5fHiBEjAM+M2ogRI7jpppvo3bs3\nABMmTGDChAmn9yL1NqWt7mNmY+lG8rd8TpXhTd4IN/HUf1cAYESRYFBMr6zEbHdiHnEDcYkzMb55\nybGZs4QLmj6t2YWvQzsTEtiEEEIIH+N2u/nss8/qZs++z8zG5bDxf5W/qat1evbZZ8nIyGDUqFEE\nBwef3gvUC2eu6FFs3/QZ1q/uwepnpGDja2wOCMCl3QD0CTRhrrFxTUUlyUlXMmzQbIz/vOzYzNmg\n2TJz1gYksAkhhBDtyO1ykpubS2ZmJkajkTvvvBOlFHfccQclJSWMHDmSuPNmExWXzP333wSAn58f\n999/f/NeoEGd04GtS7F+eitWkwFr4QI2hIRR6aqByDBCXW6S7HZuCk/GPPIWzHYnof+69lg4G3pF\nh6pz6kwksAnRgXXUWhvh0VT1VlN8vZKrLarEOkJdWXPH+Ne//pUVf3uDwzuL+MBhB+Dcc8+tC2zf\nfvst/fv3JzAwsG7D6H79+p30dWqvN9vgn8IW/2EMtK9nVuUf2RhgoKDgVazde/Oz7TD0CMekNYPt\nDmaGDCAl+lySVzzHAFs1BqM/XHR3XfhqLJzJzFnbk8AmRAfWUWptROMa+/o1pSNUcrVFlVhHqCur\nP0aX00HZ7i0U5uWS+fpWnrEfYN26dRgMBrZu3Yp2OYkfP4cn5l2KxWIhJiam7jiDBw9u9usAxNsL\nuLLiUYoCDKCWsNuvH0UBJSwJiwSgn8NJqimClNjpJP/3FYbWVBFg8IcL7/cEsT5jG92UVsKZb5DA\nJkQH54u1NqL5mvv16yiVXG1RJebLdWV79uzB5bAzrE8Yk3Qe99x3DzabDYCg7ueQMWUC5eXlRERE\n8NJLL3Eg2TP2uXNP72dYa020I4vBUWsIHxRNfs1Blh/MZ3GYp2sz3OUmpVsg5l6zGJL1Jim2anoa\n/GD6I95Tl1M7fZVTZyOBTQghhGgBm83GunXrjttaY/fu3Uy67//omTgSs9nMXXfdRUZGBou2+hHc\n/ZwW/8/VAPs6wnUmr63+inxHKQU/r+NQ6BEA/HZaGRoez5zoCZjzPialuooYbURd/4bnerP8eA6Y\n5Hqzjk4CmxBCCNEMVYcPUFJcQF5eMMOHD2ft2rWMHTsW8NQ6jR07FovFwvJqzyUJ5557Lueeey4A\n75/GLKBj5w9s2fI51pBwrK4KrPvWsD10L1opKF7PgOBeWPx7kLR3Byk2G4MdLvwn3+jp2hx0jazU\n7KRaJbAppW4BIoAPtNY7WuOYQgghRHtyOR38+c9/rqt22rPHc4H/2xFHGD58OKmpqXz44YdkZGTQ\nt2/fuuf9cBrhLMG+gX7ONXyZm4tVV2Pdk0nR4S3YDJ62gEi/UMx+4VxQVs5wm40ku5PwiTfAgHHY\nrDMx4ZSuzS7itAObUqoUCAfKgIHACmAk8A1wm1Jqvtb641YdpRBCCHGWaK3ZvXt33anNnj17Qo/J\nGIwm/vSnP9GtWzfGjx/PRndvogYm8cfHfwFAQEAAl156abNeo3b15pHiagoCAsg/lE/B7v9iDVnP\nYaMBNmQSYPBjmF93rqw4itlmI9nuJHpcE0Xo0rXZ5bRkhm0BEAfcCowGUoFlWuvpSqkIIAeQwCaE\nEMInuV3Our/fe++9vPvuu+zduxfwVDZdccUV0GMySim2bt1KeHg4cGxxg7+//0mPXxvO7DvdbAoO\nI3/L59gNC/lXuImnVnvaAhSKOL9wxlVVM9xmw+wtQvcbOKFB12bTRehyqrNraUlgO19rPRpAKTUV\n0MCrAFrrMtXSJlkhhBCilWmt2bFjR93s2bLPllFddgh9xwGUUgQFBTFx4kQsFgsWi4WUlBT8/Pzq\nwlltWGuSd1Na3f88dkX0xrrpUwL1X/msm4nnVn6Dw/tPYo9Af8w2G3OOVmEeNpekiY/R7efC42fO\nvEXo0hggGtOSwFY/kE3x/rkcQClVe6pUCCGEaHNVVVXk5uYyZswYADZ8vpCBd/wDgODgYEKiBzMg\n40JsNhuBgYE8+eSTzT527cwZu42U9kygoOgjrKufwupvxLrlH5QbDQAEhQaSZLNzXflRkhNnkZJw\nERFv/xK/uraAueDfTbo2xWlpSWArVUrNAY7gOR36o9a6XCkVBrwHPNWaAxRCCCGaUlJSws7spZRs\n30Daa9vJy8vD6XTyww8/ANDXPJZfzRiFxWLBbDZz7cIcAAIDA0963PrhrKZPChs3fkSc4wnWBhpZ\n9PUy9piMABjCgol3OJhaVY154FTMcdPp9+7tBNSGs+RfNF3lhMycieZrSWC7AngfSAPWAnOVUrfi\nPS2K5/q2j1pneEIIcWpnWlfU2nVHza2caqsasc5SYVZZWcmBTWsp2V7AmpFG0tPT2bBhA9lvPI4p\nIIhxYzOYP38+GRkZJCUlQf4GIgcM485T7X1Wr2vT3S+NHZs+Y4TtcQoDjMz9ailbAgJxahdEhdLL\n6STFZufKc8Zh7j+ZYYvvJ9jpvd4s5WZvODss15u1QOG+8uM2Qe6I36Nn02kHNq31EWBag5tfU0q9\n1zpDEkKI03OmdUWtXXfU3MqptqoR68gVZo6aKu68806ysrLIz8/H5XIB8K1lIOnp6aSnpzPtkUWE\n9RnI+3eOO+Xx6s+cEZPOoa3LsH5yM1Y/A/mFC9gQEs5RVzX0DCfE7SbZZueG8GGYYyYweMmj9HbZ\nPDNns+7whLHug+V6s1bQ2PdiR/kebSst2dYjTGtd3uC2+4FI4F2t9frWGpwQQjTXmdYVtXbdka9V\nhvnaeBo6evQoa9asqdvzbNiwYRB3CSb/QJYsWUJiYiIPPfQQqw5HEDkwifn3XQB4Tm1G9Ets1mtU\n7VjNRZW/pzDAwL2ff4m1ex/220qhp6cIPdHuYEZwLOZ+Yxm87DniHTX4mwLgons8M2ffm+R6s7Pk\nmjGxPtMF66tackr0R6DhT8cCPAsQnlVKLdVa//mMRyaEEKJT0lpTU15a9/Ell1zC4sWLcbvdAAwZ\nMoTU1FQAlMHAjh07qN2AoLlB2uV20cv5HUE6l8eWnYO1ej9bD2/B3cdThB7tcDLSFE5yzFTM3/+d\noTVVBBr84cL5nnCWHS6nNYVPOdNVokDdadIPlVLFeFaMSmATQggBgKOmkm+++aaub3PZt//FYDSh\n7z+IUoqxY8cyfPhwMjIyGDNmDJGRnlBVG85OtVtUor2QGOcalv+4nnyqsR60suGQlepuntL1sN2F\nmHumMGnATIY2VoQeO01Oawqfd8rAppQaCZxf76buSqn7ODG4RXFsmw8hhBBdkHa72bhxI1lZWVxz\nzTUAFHz2OlPueReAoUOHEj18HJEDk3C5XJhMJubPn9/s4yfaC0lwrCU7bzNWgwPrru+wBudy0GSE\ngh8wKSNDIodySchAkrb9wPCaGvq7NCrxJhh3nxShiw6rOTNsZXjC2VQ8gUwDz53k8fNaYVxCCCE6\niG3btvHOO+/w3btfUrq9gPerKgA8KzWBuHNn8tL8GxkzZgwRERF1M2cm08n/CUq0FzLUvp6iwp+w\nGjXWnSuwBq7is1Ajev13APT3C2N0TQ0pNhspNieDz70P//HzYfcabHkzMeFG1evalJkz0VGdMrBp\nrbfjCWjPKaXmAfPxbO3RUJn3sUIIITohd73Zs5y3PmGAZQZgYfv27Tz66KOE9hlA9MiJPHzjxVgs\nFoYMGQJrswmPjmf69FNvraG3f8fe3sOw+huwFi9jp//nLO1moibnWwAiDAEkOx1cUHkUs92JOf3X\nhMdPadAWMNFzPOnaFJ3MaV3DprVeoJSK01qvO1sDEkII4RtqFwHUVBzmggsuIDs7m7IyT5mNX3Ao\nPRNHADB+/HgOHz7MvP8UAnDzzScPZ8eK0GvYEBCAdduXFBS+S76/idLtng1p/ZWBIWgur/CGs9Rb\n6ZdwIfZ/zDoWzuKnnDSYyWya6Exasg/bgye7Xyl1i9b69ZYPSQghRFtzu90c2VtMSXEBN695nays\nLCZNmgTma/EPDuXnsjLmzp2LxWIhIyOD368sQRk8VUz+/v5NFqLXhjPHTs2mkDDytyzGoRbydtix\nInSAOKOB86qqSbE7SU65jkGJs3C/ccmxcJY4Q0rQRZfWklWigGc/Njx7r9UXATwASGATQggfVlpa\nyq5duxgxwjNLlpKSwoYNGwAojowkIyOD1NRUljrAYDSRlZV13PPVqhO316gNZ3qXgd0RfbBu+oQg\n/VcWdzMeV4QeFeQpQr+4sorkoVeQPGgWoW9fBS5vY8DgOU3WOUk4E11VSzbODcezdUdq6w9HNOVk\nVTctrc/pirry+9iw9gW65ucMnf/zbkzFz7tYsMBKZmYmmZmZbNq0iZiYGHbt2gXA3Xffzevf7yIq\nLpklv5tbt5XG0ib2PavfGFDWcxDWjR9yjuuPrAo28vLy5ZR5i9ADQwMZZrdzTflRzImzSEmYQfe3\nrz9WhD7sSk8Yu/6zNttaQ34WPBp+zk39fpSKKN/Qkhm214BRwAdAcYP7ugO3nOmgxImaqro5k/qc\nrqirvo+N1bt0xc8ZOv/nDWA7eoQlS5awZs0afv/73wOwecV73LbqI3r06IHFYuGXv/wlGRkZaK1R\nSnHrrbey3H3ivmcNq5xsLhsbiz4i0fEH1gWaeGvpMnb7ea47UxEhxDscTK6qJnngFFIGTqffe3cQ\n2Jwi9DbaWkN+Fjwa+5yb+v0oFVG+oSWBbQowr6nr1JRS3c9sSKIpjVXLnGl9TlfUFd/HxmpfuuLn\nDJ33887JyeFvf/sbXy79loqfd/EpYDQa6/ZCGzzlar56/Rni4+NPuRFtLfeuLH5R/ghFAQb++OkS\nCvoOZVPlTzjdTogKo5fTidlm5/Je52HuP5n4j+8nXNs94SzlFm84K/Op05rys+DR1Ofs6xVmXVlL\nAlsxJ86s1dFaz235cIQQQpzMoUOH6vo2v/3wK5Jm3gxYKCkp4csvvyS0z2AGWGbw0j1XkZaWRkhI\nCHybSbee0SQkJJz02LGOXEJ1Fi9++ykF9lIKfs6lol8PAILdbpIdNVw/7HrMKpBBSx6jb10R+p2e\ncLbK4VPhTIjOpCWB7WngGaXUZK11RcM7vV2i0898aEII0bU5nU6qqqoICwuj8tA+Vv31bnre/hPg\nmT0Li07AaffUL02bNo2ff/6ZqxZ4FgdMmHDyWZLqHasp2rIYa3AoVucRrPtz2Rta4jn2jjwSQ2O5\noPdYhuR9xnBbNQnaiPH6N+qC2CPf+0k4E6INtSSwTQXigR3e7tDcBvdLPZUQQrTAgQMH6vo2MzMz\nycnJ4dZbb+WFF14gqHtPImIS+d1vf01GRgZpaWnc+FZe3XMN3i02GpNgL6CXK4uPs3/A6q7EujeL\nLRW7cHlPjfYNjMJsDOXqkm2k2GwMdbgImnSjp8pp40hcKp/BsseZEO2qJYGtfvXUKO9/9emWDweU\nUnFAnNZ6+ZkcRwghfJnD4SA/P5+SkhKmTZuG1prhw4ezf/9+TCYTI0eO5JZbbuGiiy4CPFtrjJ33\nJPNPcX1Ror2QWGcO36zNI19XU/DTDxR0K6TKYICNawg1BZHs152bjlSQUmMj2e6kx8QbYMA4bAX1\nGgOkykkIn9LSfdhSgcZqqKKAr5tzAKVUKvCQ1rphzVUq8JpSKgJPj2ku8IDWem0LxyqEED5h5cqV\nfPXVV55qp5wcqquriYuLY9u2bSilePnll+nZsyejRo0iKCjolMdLtBeSaF9LTv4WrAYn1l2ryA/O\n4VOTEazfY1JGBvtHMPNoFSk2G2a7kwHnzccwcDwsmn1s3zPvVhpS5SSE72pJYHtAa72+ifuOKKUe\nONmTvUHtSu+HcY09RmvdXSkVobUua8H4hBCiXbmcDo78tIUXX8xh3bp1LFy4EIPBwL///W/++c9/\nMnLkSOYpH5mqAAAgAElEQVTNm1fXGlBrzpw5TR6ztgh9U+FerCaNdccKNgSuYHGoCfc6TxF6jCmU\n1BpbXTgbavkfAuImNejaHN/m+54JIc5cS6qpnjvFQ9KAD0/y/LXAWm9wa/J6NwlrQoiOonYvs6++\n+oonn3ySzOw1uBx2lgPR0dHs27eP6OhonnrqKV588UUCAwNPfkBvEfr+Pknk+xmwFn/NrgZF6OGG\nAJKdLqZWVmG2O0hOv4vu8VOPD2dxk5qeOWujfc+EEK2jxdVUjVFKDQTmAw+15nGFEMJX2O121q9f\nX9cYkJmZyVtvvcX48eMBcLlcxI+fQ1Scmfd+fz39+vWre26PHj2OP9juNXWzXBW9hlJwqICCbV+R\nv+HfWP1NlHiL0P3wFKFfVlGJ2e7AnHoLMQkzGhShT5WuTSE6sZZUU7nOxkAavEb9mbdUYIHMuIm2\n1lRNS0srbFr7eO3pbFR8NXZMX6jE+emnn1BKER0dTUFBAWlpadhsnq00YmJi6DtoOE98uYXIIj8g\nnJjr/0zFvnJi+oQdF9bqhzNH9Eg2F31Mwdfzyfc3YN30Otv9jv06HmAyMLaqxhPOzNcxeFDDIvSL\nfCKcNaw7Ohtfr7Z4jY6itd+L1j6er/4MdxYtmWFTeLpE6weoCDynN8uAZWc4prUAWutiAO/WIe/j\n2U7kxMEoNQ/vytXY2I71j57wbY3VtJxJhU1rH689nY2Kr8aO2daVOG63m+zsbLKysvjhX59Tsr2A\n924/wG9/+1uee+45EhMTueuuu+quPYuOjubKVzMp3FdOZL3jXBz1E5eH7oTdRnS/0fy05Qusn9+J\n1WTAWvQaRUFB2N1OiAwl0uUixWbnonNGY067naQaG+HvXH1sQcAQ3yxCb+zr0tpfr7Z4jY6itd+L\ns/He+sLPcGfWksBWprWe1tgdSqm/A++dyYBqg1r9j5VScUqp1MZWimqtFwALANLS0s5oSxEhGmpY\n03KmFTatfbz2dDYqvtqyFkdrzU8//URmZia7coqIHT0NpRSzZ8/m0KFDBEf2pkd8CvddN5MpUzyT\n/gEBATz//PPHHSfRXsgloflcPcMTpI4Ur8D60WNkHjCwYMl/KAiL4rDjKESFEeB2M8zu4KrQwZj7\njSNl2ZP0sdegjP4w8y7o6w1eHWBBQFPVXx3tNTqK1n4vztZ7K9VWZ09LAlvDbTjqaK1vV0rlAKNb\nPqRGleFZzCBbewghzsiOrC/Zm7eafn/YzN69ewEIj06oC2yfffYZAwYM4J7PdgBw90n+8bHv/J45\nFb+jKNDAg4u/oKBHf3ZW/ww9I1BaE+dwMiGgN+Y4C+ZVL5JQU4Wf0R9m3OsJYr1GnxDMAFkQIIQ4\nQUtWiX5zioc0ulVHc3g3zd2mtW7YTFzq/U8IIU5Ja82uXbvqFgUUFRWxdOlSlFIc2PQjh3dvZvbU\nCVgsFiwWC3/Krqp7rsVSG9B2nHjMzZ+Tv+1LrAF+FNQcZOOhDTiiowDo6XRhVgFcEncZ5qyFJFVX\n0c3gBxc85Alf0RNPDGcSzIQQzdSSRQdPn+TuKZykGL4ZSoHbGrk9rYnbhRACp92GwehZUblo0SIe\nfPBB9u/fD0BQUBCjR4+mrKyM7t27k3bdgxiMJt6pN3Nm/PHEU7mxjlzC3Fn8bdViCuylWA+so9zp\nCXZBbk1S5BCui53G0Jz/MNxWTV9lgmn/9ASwATMknAkhWlWLNs49yX1leFZ1Nkdkwxu01mVKHT+5\n5l1U8F7Da9uEEF2T1prKkn288847db2bP65dx6TfvgyMo2/fvkyZMoWMjAwsFgtmsxk/P7+65xuM\nJ/7ai7PnE+nO5M3vv6krQt8Tesjz+O15JITGMDWoH+bt2Zhraoh3ujEmeLs2C4ZQZpQ9zoQQZ1dL\n92GbyomnKMu01o3VVR3He9rzNjyzcalKqVeBH72LB9BaL1BKzccT/iK8t8nsmhBdVFVVFbm5ufTp\n04fExEQObc1j5Z/v5AsgODiY9PR0Bk+7loBu3QGYOnUqU6c2uqgcgAT7Bnq7svhkTSZWVyXWfdls\nDt3hKULf+iN9AiJJNoVyRelWhttsDLO7CJ50o2e2rHA2uNzH6pzwvcUAQojOqSWBbUEzrmNrknem\n7KT1VVrrZ1t6fCFEx+ZwOHj33XfJysoiKyuLvLw8nE4nDz30EE899RTd+w8h9erfsnD+tSQnJ2My\nmRpfnerd9+xgHzNWfxPWQ1asP31PQbcNVBoMUJRNN2MQSf4R3HCkguE2TxF6zwk3NF6E3kSdkxBC\ntIWWLDq4vfbvSqkBeBYZFGutd7TaqIQQXcLRo0fJzc0lMzOTrfklJEy8DKPRyF133YXL5SI9PZ35\n8+fXLQ4AMPkHkjDhUkaMGFF3nER7IUn2fKq2OygMCsa69Qus1n9h9Teyv9jza86kTCT6hTPjaBXD\nGxShH1fndLIidDnVKYRoJy06JaqUmgy8Sr0VoUqpbcBtWuuVrTQ2IUQn9Yc//IGPP/6Y/Px83G43\nAH1TziNh4mUYDAbWrVtHbGwsRu9Cgvpqw5lrl2JbaCTWzZ9h4BU+CDXxp1Xf4PZeBxvtZ2REjQ2z\n/SgpydcwZNLjBO7Lb7QIvb0bA4QQ4lRaskp0JJ6mg2I8Je+leBYQjAKWeze4zWvVUQohOpyKigpy\ncnLqFgbs3LmTvLw8lFLs27ePHj168PDDD2OxWEhPT+fODzbXPXfgwIGev3hPa+r+5/FzVH+sGz8i\n3P08S0NM/O8331Bt8ISz0JBAzDYbk47UkDJkDkkJM4n693X12gIuA1OghDMhRIfVomvYgCu01h82\nvEMpdTnwOq2/cW6n0FG7JDvquMXpa+nXWmvN5s2bcbucGIwm/vSnP/Hwww/XzZ4NGTIEi8VCTU0N\nQUFBvPLKKycco3bmjN1GjvYaxoaiD7F++xhWPyPWLQs56J1t8wsPZojNzpyjlSTHX0hK/IX0+vfN\n+NXOmg275qTXm51JOJOuRN/VsBez9jb52pw90vPatloS2Lo3FtYAtNYfKKX+dIZj6rQ6apdkRx23\nOH3N/Vo7bdWUFBfwxBPL6xYHlJaWMuWhfxDZ3xPOfve735GRkcGYMWPo3r378S/UoAh968ZPGGr/\nAxsCjFyy9GuK/fzQaIjoRn+HgzHVNpL7TyJl4BQGvP8bgmvDmfmGJns2z8b1ZtKV6Juaev/la3P2\nSM9r22tRl6hSanhjpz2VUiM4vhReNNBRuyQ76rjF6Wv4tZ77yveU79vBG29sZPTo0SQnJ1NSXMCq\nv97NKmDYsGHMmTMHi8XCZ4d7ATBhwgQmTJjgOcDuNVDgCWe632j2bvkS6+I7sPopbxF6CDVuO/QI\no7vLRbLNwfRz0kiJnUTyFw8T7rB5TmvOnucJZysq2/WUpnQl+h7pHG178p63vZYEtgeBdUqpr4F1\n3tsi8CxAmIJnjzYhRAdWWVnJ888/T1ZWFt989z2Oqgq+Ap544gmSk5OJiktm/K//wqd/uJGIiIi6\n533dIMgfKV7Jhg9/Sb6fgYINr2IN60mpoxx6eIrQh9odXN4tgZSY8xj01VP0d9ZgMgXAzF97wlhU\nss+XoAshRFtoybYey5VSc/Fcyzat3l1lwFyt9YrWGpwQ4uzSbjeFhYXHOjdL/Bh6wS8JCAjgL3/5\nC7GxscSkTiJyYDJvPnQdgwcPBsAUEETvpIzjwprD5aCHcwWBrOX/LY3CWrWPHeU74BzPY+LsDsYF\nnIN54GySv3uJQXVF6Pd5Zs4yg2UbDSGEaEKLtvXQWn8AfOBdMVq7D9u6UzxNCNHOampqCAwMBGDN\nP//InrzveL/6KADdu3enx0jPBLnJZGL//v0EBQXVnf4eOnRo3XES7Bvo68zm85wcCnQV1oNWikoK\ncXRzAhC1x425Vyqz4y4lOesfJFdXEVq/CL3fJJk5E0KI09DSaioAvCFNgpoQPsjlclFUVFQ3e5aV\nlUVVVRU7duwAIDA8kpi08/ndTZdgsVgYNGgQVy3Iqnt+UFAQ4Fm9OdCRy3frNlCg7OTvXk1BSD5H\njAYozCLI4M+wnmauDRvMsM3fMcJWQ283qMQRMO4+GHCRFKELIcQZOmlgU0rdguf6tCjvnwDv1z/t\nqZTKBZYBr0rbgRDtp7S0lOzsbKZNm4bRaOTee+/lxRdfBCAqKqquDN3lcmE0GkmZcycAN9xw7AL6\nRHshg+3rWF+wHavBhXXXKvKDvufTMBPk/xcDinj/CCZXVZNiq8FscxJ/3v2Yxt8Pu9dgW78CExpV\n2xgAEs6EEKIVnGqGLQ24FVB4Nsr9O5Db4DHnA3PxbJr7tNZ6YauPUghxgr1797Ltu08oKS5gyP9u\nY9OmTQDk5eWRkpLCNddcw6hRo7BYLCQkJKC8DQC1Eu2FDLPnUbzxAFYTWHd8w+aAr1kSasL54yoA\nehmDSbbbmVtRgdnmJMlyD8Fxkxu0BXhXgzZV5ySEEOKMnSqwPQDMAy7XWn/U2AO01keA14DXlFK5\nSqlcaToQonUdOnSI7OxsMjMzufTSS0lNTSUvL48f33mWgG4RTJs0juuvvx6LxUJiYiIAY8aMYcyY\nMZ4DePc9O9Q3hQJ/P/K3fcU+v4/4JsSPp7M9bXLBykSS28Uvj1SRYndiTruDcxKmHx/O4iafNJjJ\ndWhCCHF2nCqwLcDTD9poWGvEXOAVYPoZjUoIQUlJCffeey+ZmZls2bIFAKPRSGxsLKmpqUyYMIEZ\nT7xHSI9o3rt97LEnesNZdUw6RUEhWLcuwZr/JlZ/E3u9RehGFIkGxYWVlZjtTlJG3MiAxItw/mP2\nsXCWMF2qnIQQwkecKrBNwXNKtFm01sVKqbhTP1KcTFvV37R25VRTx2vuMbtqBVb+1l2M+9V/OVRc\nQOn2AqIGJvPIY09wRWofvvvuO4YPH87NN99MRkYGaWlphISEABAcHMzI8HKSKv+La5eB4tAoCjZ/\nRn7uK1j9jWzd9gauuiJ0E+YaG9fYK0lJvoohibMw/POyY+Fs0CyISefRDhLOpBKnY+kIX6+OMEbR\ntZ0qsCmtdflpHjOypYMRHm1Vf9PalVONHe90jtkVKrDcLie7du0iNtbz+ax/+TdszvdcFqoMRiL6\nJXLYHcin6/dwzZhYtm/ffuzJu9fA2r/DgHH8HNmfgk0fE+F+lq9DjLzwzXKqDAYAQoMDSLbZuLmq\nBvPgOSQnXkSPf/+iXhH65U3WOfliOGtIKnE6lo7w9eoIYxTiVIGtWCk1SWu9sjkH8+7LdvjMhyXa\nqv6mtSunGhv36Ryzs1VgHThwoG5bjZUffU3pziLW/SWarVu3AnDTNZejrr0Ci8XCqFGjCA4O5pGX\nFpJ09D+w2wgx6VQ6Kiks+pD8lY9S4Gckf/NCDpg8Reim8GCG2O3MPlpFSvyFJMddQP8P5mGoDWdJ\nTRehd4Rw1hipxOlYOsLXqyOMUYjmXMP2gVIqVWu982QPVEqFA8u9zxGiy3E4HOTl5bFmzRpuv/12\nDAYDDz/8MK+//jomk4mw6ETizp3FH+ZditYapRQPXFO7gWwABAfj3JnJ3IrfURRg4PefLcHaK4Hi\nqn24tRsiuhHjcJBWYyOl/0TMA6Yy4MPfEKKPL0Ln+t6y75kQQnQyJw1sWusFSqnb8My0LQM+wLO9\nR6n3IZF49me7ErgcKNNaP3QWxyuET9mwYQOLFi0iKyuL3NxcqqurAZg8eTJDhgzhN7/5DTfccAOp\nqanc8OZ6AK66yjODqHdls+/tOZ4tNda/jDVmOEXl26mOjgIgwuUi2Q3TUm4nGX/MXzxCRF0R+m2e\n05orTyxCl3AmhBCdzymbDrTWo5RS7wOX0XSxe+0+bVL8Ljolu93O+vXr2bziPUqKC8hJfYrRo0ez\nbds2XnjhBVJTU7ntttuwWCxkZGQQExMDgNlsrjvGAPs6wnUmC1Z/idVxGOveLEr6esKZv9YMqSnj\n0ugJDF37ESm2KgZgQl3/z2PhK8rcaU5rCiGEOD3NqqbSWl+hlEoFnsGzUW59xcAzWuvXWntwQrQX\np9PTiVlZup/zzjuPH3/8kZqaGgCCup/Dnj17GD16NBdccAHl5eV1/Zy1HDt/YPOWxVhDwrG6KrDu\ny2F72D7PncXrGRDcm3N7ppJctBRzdTWDXQq/6//hmTUrNFNlyGdgw81nZeZMCCG6rGZ3iWqt1+Kd\nQfNerxaptd5+8mcJ4ftsNhslxQWUbN/AlSteICsri7lz50LCpQSGdkcpxZ133onFYmHRVj+Cu5/D\nJZd4Tmv6+/ujd2Wze+sXWEN7YNVV5O/5gY1HtmH3bqkR6RdGil84M0qPkGKzkexwEjbxBk/P5rA1\nMmsmhBDilFpU/u5tNzjSymMRok1UHT5Abm4uaWlpaK2Ji4tj7969AJTGxmKxWBgzZgy7SsDoF8Dq\n1avrnrv+pYXEVS7lv+sLsWLH+tNqCg7kcdjo2VIj0ODPMP8Irio/itlmI8XmpM/461EDxx/fGCA9\nm0IIIU5DiwKbEB3J+vXrWbFiBVlZWXy+fBXVhw+wddEQioqKUErx+OOP80bOAaLikvnsgdnHnvfS\nQgbb15FfsBOr0YV157fkB/3XU4SetxqFIt4vnAlV1ZhtNsx2Jwnn/ha/gRNg0exj+54NHC89m0II\nIc6IBDbRaWit2b17N5mZmaxbt46nn34apRQvvPACixYton///vSITyEqLpnX7r+27nm33HILO6oX\nMsy+nO0bocBPkb99OVsClh5XhH6OMZhku4PLKiow250kZdxDSNzkBuFsQqfb90wIIUT7k8B2mh5f\nvAGAR2cltdoxW7sSpSNUPJ1O/VbD9weO/1xWrVrFiy++SGZmJvv2eS7sDwoK4te//jXR0dE89thj\nPP300/Tp08ezKa09n7RebkprSrEetGItXsrPpg9YUa8IPUiZGOZ284sjFaTYHZjTbqdXwgWNFqF/\nnbaAkg3fsME/hS1fuIDasY6FwmMfS9XNMW1Vv9ZVncnvFKloOnsa+10m769oLglsp6lw7+k2dZ3c\n2ahE6QgVT82t36r9WGtNVcl+SrYXsMW6luU/bybhvX+Snp7OoUOHWL9+PZMnTyYjIwOLxUJKSgp+\n+9fB6v8wYMA4anqmsM76NnGOJ/gx0Miir5exx9sWYECRYFRMq6wixe4gecQNxCfObFCEfkGTpzUX\n7uxJYcWMU/7SlaqbY9qqfq0rOpPfKVLRdPY09R7K+yuaSwJbOztblSgdoeLpZPVbVVVV2Gw2rhkT\ny4jQo5x//vns378fAKN/IJH9h2C32wG49NJLuSw9xnsKMh13v5EUb/wU61f3UGAyYN34GpsDAnBp\nN0SF0sfpJNlm56pzxmFOv4uh1VUYjytCn33aRehtVSXWmch7dnacye8UqWg6e+S9FWdKAptod1pr\ntm/fXte5mZWVRV5eHvPnz+fJJ5+kf//+TJ06tW727P1VOZhdGzivvz8Ah7YtI//TW7CaDBQULqAg\nJIxKVw1EhtHN7SbJZuem8GTMMRMYtOT39HbZPMFs1h3QaxRAhy1CF0II0TVIYBNtrrKykgOb1+Fy\n2AALWmtSU1M5cuQIISEhpKenM3/+fGbOnAm71xCyYzVvPnkXxKRTtf07ZtU8TmGAgXs//5L87r35\n2XYYeoRj0ppBdgczQ/pjjj4X84rnGWCrxmD0h4vu9mxK+72x0ZWaEs6EEEL4Mglsok3syVvNr371\nLzIzM8nPz8flchEeHQ8v/g8Gg4G33nqL2NhYkpOTMRo915a5dmWx6Z05FJgU1vxXsPZOZOvRPbj7\nRAIQ7XCSaorAHDsd839fYUhNFYEGf7hwvieM9TlXVmoKIYToFCSwiVblqKli5cqVZGZmUlRUxJtv\nvgnA7txvyCv6gTFjxvDQQw/x7eFwogYeW2k7c+ZMft66lG++fp2CwEDybQcpPJBHdW9POAtzuTG7\n3EweMJMhWW+SYqump8EPpj/i3Xx26gnhTDalFUII0VlIYBMtprVGa41Sivfff5+v//gwR/Zs42Pt\nBmDw4MEcOeIpxEi96l4+uPuLutmzB156mXD9Dq+vziLfcRjrz2s5ZPc81k9rhoTHMSd6Asl5H2Ou\nrqa/NqCuf8NzWjM/ngOmBqc1JZwJIYToxCSwiWYrLy8nJyeHzMxMVr/7BSXbC1k7+htGjRqFn58f\nAaERDJ1xA8//6nLGjBlDZKRndizebqWnIYsPc/LId5ZTsD+H4tA9aKWgeD39g3qR4R9F8r6dpNTU\nMNjhwn/yjZ6uzUHXyGlNIYQQXZ4ENtEot9vN5s2b6datGwCHtlmJiDgXrTUAYX0GEj18HIGBgQBc\ncskl5O4uYZg9D3O8m+wj2Vi3WbHuyaSo2xZsBgWbcuju1w2zXwTTy8o9Reh2J+ETb/AEsqLZ4HJ5\nGgOka1MIIYSoI4FNAOB0Olm5ciUblrxHSfEGejy0kcOHD/Poo49Cn+mE943j97//fV0x+vNvfUiS\nPZ9+QQf4fk8Z1m1fUWJ6l7+HmHg609MWEGAMYKgpnCsqjpLi7dqMHvdA40XoTdQ5CSGEEEIC21nj\ny9U7brebTZs2Ufz955j8/cG7eemcOXOorKoirM8A5l52GRaLhUmTJrHw8xUkufK57Ma5bA4J54ui\nV7AbFvJ2mImnVq8AQAEDTQbGVVWTYndiTvkFiZMfx2/POmwLZ2LEgQs/fpfXnS1FLvz4HReFbpXr\n0DqhU1WJdSRS0yROxZd/14vORQLbWeKL1TtbVn7ABR8/TnZ2NmVlZQD0TBwJPIrJZOLbb7/lPysy\nGWXcylVXXMOuiN5YN31KoP4ri7sZeW7lNziUAqBHoD/JNhsXV1ZhHnYFSYmz8F8099is2eBLwOAH\nMemsynj9WNem/zAAHH3S0CMuhpiO94+4aFpj39++VovWXFLTJJrDF3/Xi85JAttZ1B7VO263myN7\niykpLuCWnIXs3LmTZcuWAXBoWz5O28/MnTuXjIwMsrftYVz4Adi9htKeCVQZ1xHr/xe+DTDxt+XL\nKTcaAAgMDSTJZue68qMkJ84iJeEiIt7+JX614WzolZ7Vm420BQBMu2A2XDC7Td8H0T4aq9/xxVq0\n5pAqIdFcUrMm2oIEtg7OXlmOKSgEgJdeeolHHnmE8nLPjEZxZCQZGRlUV1eTaC9k9tyhXHvVk9T0\nSWHjxo/g8OusDzDyr6+X81NtEXpECPEOB1OrqkkeOBVz3DT6vXsHgbXhLPkXTYYzWb0phBBCnB0S\n2DoQl8tFYWHhcZ2bGzduZNojbwLnER8fz9VXX82eo3YmRju591e/QseMZsemxYy0PU5hoJErv/qa\nzQGBOLULokLp5XSSYrMz95xxJPefTMLHvyVM2z3hLOVmbzgrk3AmhBBCtCMJbD6spKSE7OxsBg0a\nREJCAl9//TUzZswAoEePHmRkZGAaNB7/EM+1EzNmzCB9kB9rP7qJwgAD877MZkO3cCqc1dAznBC3\nm2SbnRvCh5EcM57BSx6jT/0i9Jh0Hllll3AmhBBC+BgJbD6kurqaRYsWkZWVRWZmJps3bwbgj3/8\nIw8//DBjx47lzTffxGKxEB8fT7Wzmvteex5//sm9X3xMQdVe9lXug14RGL1F6BcGxZIcPZYhy58j\nwVGDnykALrrHW4TuJ+FMCCGE6ADaLbAppVKBh7TWVzRy3zyg1PthnNb62TYdXBs4dOhQXTDr168f\nd9xxB0ajkf/5n/8hNDSUjIwMbrjhBiwWC6NHj8a1K4sDWz4nZFB33j74NtZCK1vLtuAK8dRARe9z\nkdI3g2v7jGPId38nyV5NN+OxIvRH1oRLOBNCCCE6qDYPbN6gdqX3w7hG7p8HoLX+wPtxnFLqVa31\nbW03ytZV27cJcO+997J48WK2bt0KgNFo5LrrruOOO+7A39+fbdu20ce5mwPblmINi2Ad63hz+d/Y\nUFpElcGzajPUFIz5nBFM0AEkbVxBiq2GHlrBoCQ49z4eWduXYglnQgghRKfR5oFNa70WWOsNblMa\nechtWutR9R5frJRq7HE+68CBA+zJW01JcQET//0QZWVlrF+/HoCKigqSk5O59dZbycjIIK036H0/\nsCb/TazKgXX3d1j35XDAu2rTpIwM8e/OxUerMNtqMNtcxI6bj2H8b2H3Gmzrlnm+iKZjdU4SzoQQ\nQojOxaeuYVNKRQCpjdxVppSaorVe3tZjOhWHw4HVamXEiBEYDAYeeOABnn3WcwZXGYx0Sx3JhAkT\ncLlcGPf+yCu/GMTWHtPJN7pZvvPf/O9337LNZETv8MzAxZpCGV1j84YzJ0POvQ//gRNh0Wxw2T09\nmwPHe148Jp0nmtj7TAghhBCdh08FNjynSMsaub0UT5Br98Bmryzn4JZ1PPjgp2RmZpKTk0N1dTVF\nRUUMGTKEadOm0aNHDwr2lDCpdznTLp2J1d/I/66aj3XrEgr9jNRs95zajDAEkOxwMvVoJWa7A3P6\nXUTET20QziaetGdTZtOEEEKIzs/XAlskxxYb1FcGRLXxWBp1cMt6vv/7Q6zx82PkyJHMmzcPS2JP\n+mz/gHL/8wgaGkS4fwUh1o/4Z4CJP2euBsBfGRiq3VxeUY3Z7sSceiv9Ei5EvXnxsXAWP7XpcHaS\nns2u2HfYnn2V7fV+S2ehEO2vK/6+7Ww66tfQ1wLbafMuUpgHEBt79v+xtgwMYepdV3DvXXewK+oc\n8rcsJn/dQv61x8iOA+/WPW6gn4Fzq73hLOU6BiXOwu+tS4+Fs8QZLQpnDXXFvsP27Ktsz/dbOguF\naF9d8fdtZ9ORv4a+GNgiG7ktAihp7MFa6wXAAoC0tDR9FsfF0e2r6B74FzYkm5iY+Wvs3pWfkYF+\npNTYmHW0CvNQTxF6wJv1i9DntEo4a0xX7Dtsz77K9n6/pbNQiPbT3j//4sx15K+hrwW2XDzhrKFI\nYG0bj+UEgbvX8FW3QAY6HFxdfpTkxJmkxM+gz3s3oWpnzoadpAj9DMOZEEIIIbomnwpsWusypVSx\nUrE85gwAAAtBSURBVCpCa11/8UGEL6wQNQ2cwNIVz+FfV4T+yyZnzmQxgBBCCCFaS3sGtsZOfQI8\nAzwEPAB1G+22e1gDICadJ2XmTAghhBBtrD2aDuKA2/BsmpuqlHoV+NF7LRpa6wVKqXnezXIj8FRT\n+UzLgcycCSGEEOL/t3f/uI0k9x7Afz9jY0Oj9QsMA2uAmzkyuAJ8AGtiJ1obcG7pBjOYEzzIN5B8\nAq/mBuMXv0RS6EwEXuTA9kjwBeoFXRy1epoz3NWKXRQ/H6Axw2Y3Wa3Sny+rqqs2bYqVDhZRW88+\nccz5hooDANC8n0xdAAAAPk1gAwBonMAGANC4pqb1oA3bumzHczK29NaU9fDcviee2/UAz5/AxgPb\nvGzHc7Hqaz1VPTy374nndj3AbhDYeGCbl+14Llqrg9bK81jP7XqA3WAMGwBA4wQ2AIDGCWwAAI0T\n2AAAGiewAQA0TmADAGicwAYA0DiBDQCgcSbO/QHGlg363a9/YTLOiY3Vy9gxq5Yg2sXlinbxmreZ\n+oLdJbB9T2PL1/z9H/+JiBDYJrTuskKrliDaxeWKdvGat5n6gt0msH1PY8vafK5Vh6f32OWGdnG5\nol285m2mvmC3GcMGANA4gQ0AoHECGwBA4wQ2AIDGCWwAAI0T2AAAGiewAQA0TmADAGiciXN/JJaM\nAQCeisD2I7BkDADwlAS2H4ElYwCAp2QMGwBA4wQ2AIDGCWwAAI0T2AAAGiewAQA0TmADAGicwAYA\n0DiBDQCgcQIbAEDjBDYAgMYJbAAAjRPYAAAaJ7ABADROYAMAaJzABgDQuCYDW2bOMvNw6nIAALSg\nycAWEfOIuMjMkpm3mfkuM+dTFwoAYApfTF2AVUopLzJzr5RyN3VZAACm1GoLW0RECGsAAI0HNgAA\nGu4SHdx0MI+Icy1ubfn7P/4Tfzj73wePf/Xzn05YIgB4nloNbNcREaWURUREZi4i4iIiXg4PzMzj\niDiOiPjqq682WMTd9rtf/+Kjfb/6+U9H9wMAj9NkYFsGtf7jOtXHvJRyPXjuPCLOIyIODg7KBou5\n0/74m6/ij78RkAFgE7ZpDNtdRBxMXQgAgE1rLrDVlrSxlrL3dQMA2CnNBbboQtnJyP6DqGPbAAB2\nSXOBbexO0HpjwXfDsW0AALug1ZsOzjPzVXTj1vbqvrFWNwCAZ6/JwBYRUUr589RlAABoQXNdogAA\nPCSwAQA0rtkuUX58lpJiKr73AB5HYNsRlpJiKr73AB4vS3k+qzkdHByUy8vLqYsBAPBZmXlVSllr\nFSdj2AAAGiewAQA0TmADAGicwAYA0DiBDQCgcQIbAEDjBDYAgMYJbAAAjRPYAAAaJ7ABADTuWS1N\nlZn/jIj/28Bb/Swi/rWB92F96qRN6qU96qRN6qU9m6iTX5ZS/mudA59VYNuUzLxcd+0vNkOdtEm9\ntEedtEm9tKe1OtElCgDQOIENAKBxAtsPcz51AfiIOmmTemmPOmmTemlPU3ViDBsAQOO0sAEANE5g\nAwBonMAGABARmTnLzMOpyzHmi6kLsE0y8zgi3teHs1LKn6csDxGZOY+IN6WUb6cuC/fqz0pExDf1\n39ellLupysOHOtmrD7+OiNNSymLCItGTmRd+jzVhHhF/ycy9iLiLiMvofn9dT1ssgW1tyz9ApZS3\n9fEsM89KKSfTlmw31aD2h/pwNmVZeCgzj0sp5/3HEXEVXUhgApn5qv8BMzOPIuJdqJMm1N9nR1OX\ng04p5UVm7rX2IVOX6PpO+n+E6ifTJptNd0Ep5bqU8joi/jp1WbhXP5U+UH9u9lvtZtgRJzWkLV1H\nxGysvpjE/tQF4KHWwlqEwLaW+kttPvLUnT9C8MAsIs5GgsAitIRO6eWyd6CaRcRdi3+Udk1mHpVS\n/jZ1OWifLtH1zKLryx56H12Q88MG0bV8ZuY3I0FgFl1oYwIjY9VeR4TxUhOrXaGTj43ioUFDzDwi\nzlv4cCOwrWc/7m826LuLiC83XBZo2nBwbu2KW2hFmF6ti5fR3XCgPqY3G7R8Mr3riPsPOZm5iIiL\n6H5uJqVLFHgytWv0TUT8duqy0N00VW+Ummfm2dTl2WW1K1RYa0wpZdFvka7/n9XW0EkJbOsbGxS6\nFxH/3nRBYIucRsS3LXQncK/eMfp7Y3CnkZmGCGyXu4g4mLoQukTXcxn38xf17YfxBzAqM1+Fub4m\nV1sG/qeU8mLw1CK6bh5do5t3GBF7w8Bcf2bu+jMSsDk1SN+UUnLw1PsYHxa1UQLbGkopd5m5GJmX\nZc84EPhYnXvtbT+sZeahn5dJ7EfEWACYRcTNhstCfJjq5oHMPDUZ++TeR8TY3KoHK/ZvlC7R9Z1G\nNxYnIj58avXHZ3rmL2pMbTW47A3a/aglgc0ZC8m98Tjfbbg40KyxoRv1w+d3LfQUZCll6jJsjVpx\ni+i6Ry1NNaHadH0SXdfCPLoWhCtdCdNadimsePqFsWzTqDd/HPd2WZqqEfXDzEl0Kx28jYgzLdHT\nWnZNRx0K1crfeoENAKBxukQBABonsAEANE5gAwBonMAGANA4gQ0AoHECGwBA4wQ24Ell5nFmlsF2\nW7eSmTd13qOxc28y83TTZd6kzLzqfV0mX2AaaJPABjypUsp5XZvvbd11Xkp5Ude2fBHdZNSnw2BW\nJ3udRTcx8rNVSvkmIpqYmBNol8AGbMpyVv0PKyHUlQ++rQ8ftLKVUu5KKVlKebmh8k3p31MXAGib\nwAZMqoa2u4gPS1sBMCCwAS14P/gXgB6BDZhUb6zaYrk4fGae9QbiX/SOfdXbf5aZR3XQ/m1mXtTX\nWvU+a587eP/Tuu+wd6NE6R17OnjdV/Vmidv6eK/3XiUz332inPv1+dt6/NHIdczrMTf1mMNV5a7H\nXtTXOxy+FrBFSik2m8325FtEnEZEiYhXvX2ziHgXEbcRMRscv1ePvxjsn9f9txFxFRGHEXFc9119\npgxrn1ufKxFxOtj/rvvV+WDfrPe6F/V9ltd7Vbd5773eDc5/VfffRMR88PU6GinT8eB6Dkeu8axX\nlo++jjabbbu2L35QygP44d5k5pvoAllEN37tT6WURf+gUspdZo6d3z/ut+W+Ve5lRBxl5t5y3yPP\nXdU9O/baH44tpSxvoriu05XMI+Lren3XmXkSXfAac1ZKua6v8zozjyPiL3F/h+1ZdC2R5/WY68y8\nrvu/HpTv9/UarzPzbT0G2FK6RIFN++/STeuR0YWM1xFxUbv3VnZpjlgMgtkyjO0/8bmf8rfh+0TE\n3SCMLiI+dAV/7vzLiNjLzFm9IWMWEdeDY95HxGzs9Xrh79tSyvC1gS2ihQ2YTA0y5zVsnEbXhbfu\nNB6Xj3jrx5z7KWOtcsN9n7qxYth6twx6y3F+ERGHmXnTO2a/njcMc091jcAEBDagBcugcTBpKdbz\nfVoB1/Xlitdetvgtev//rpRyssZrLj5/CLAtdIkCLViuZtBSq9CqcXBPcbflMqgNA+s87rtvL1cc\ns7wDdhj2VpUf2EICG7Apyy69L/s763QTb+rD1yPnrWp1WnXcp1rA1j63dtfeRS+gZeZZjE/yuz/4\nt79/bN/QLLoWsdfL4FWn9JhFxEktz110X595nb5jVrfTiHg5cqPFU7QEAlOZ+jZVm832vLe4n8qi\nv932tpvo7mCc9c45qvuXx7+LLoB8tL8ef9HbdxN12otBOb73udEFpqt4OA1I//jTFWWd1+OX+67i\nfgqT/nsd1fdZnnNYj71Zvt+K61i+9m30ph2pX+thWWaPqT+bzdbGlqV8mP8RAIAG6RIFAGicwAYA\n0DiBDQCgcQIbAEDjBDYAgMYJbAAAjRPYAAAaJ7ABADROYAMAaNz/A6un6J2M0WCIAAAAAElFTkSu\nQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pl.figure(figsize=[10, 5])\n", "pl.step(x, poisson_data)\n", "pl.plot(x, mean(*result_posterior.x), '.')\n", "pl.plot(x, mean(*result_likelihood.x))\n", "pl.plot(x, mean(2, 10), 'k--')\n", "pl.ylabel(\"Counts\")\n", "pl.xlabel(\"Bin number\")" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import emcee\n", "ndim, nwalkers = 2, 100\n", "p0 = [result_posterior.x + 1e-4*np.random.randn(ndim) for i in range(nwalkers)]" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "sampler = emcee.EnsembleSampler(nwalkers, ndim, lambda params: - poisson_posterior.evaluate(params))\n", "_ = sampler.run_mcmc(p0, 1000)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(95000, 2)" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "samples = sampler.chain[:, 50:, :].reshape((-1, ndim))\n", "samples.shape" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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2mw2n04nL5eJ3v/sdZWVlhEIhbrjhBg4ePEhVVRXt7e1GaWQ4HCYYDGKz2UhISEBrTTgc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\n20vA0OC9NAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import corner\n", "fig = corner.corner(samples, labels=[\"$m$\", \"$b$\"],\n", " truths=[2, 10])" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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6KUqlEmZmZuByuZDL5VAqlYRI6XEWi0WYzWbJGzWbTcTjcYkg6vW65C4Mw8A7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\nSUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from matplotlib.ticker import MaxNLocator\n", "label = [r\"$m$\", r\"$b$\"]\n", "\n", "fig, axes = pl.subplots(2, 1, sharex=True)\n", "for i in range(0, 2, 1):\n", " axes[i].plot(sampler.chain[:, :, i].T, color=\"k\", alpha=0.2)\n", " axes[i].yaxis.set_major_locator(MaxNLocator(5))\n", " axes[i].set_ylabel(label[i])\n", "\n", "axes[1].set_xlabel(\"step number\")\n", "fig.tight_layout(h_pad=0.0)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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XZ+bQEjcXsCyLmZkZI5y2t7dpNBq02+0eHzRfkPnirWm2RpvNpmlxAijlR0Rp0eYLOf9n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\nBI7ABgAAELj/B1+TY6Ik72iQAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pl.figure(figsize=[10, 5])\n", "xl = np.array([0, 5])\n", "for m, b in samples[np.random.randint(len(samples), size=100)]:\n", " pl.plot(xl, m*xl+b, color=\"k\", alpha=0.1)\n", "pl.step(x, poisson_data)\n", "pl.plot(x, mean(*result_posterior.x), '-')\n", "pl.plot(x, mean(2, 10), 'r-')\n", "pl.ylabel(\"Counts\")\n", "pl.xlabel(\"Bin number\")" ] } ], "metadata": { "kernelspec": { "display_name": "Python [default]", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.2" } }, "nbformat": 4, "nbformat_minor": 2 }