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@junpenglao
Last active February 16, 2016 15:20
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I am trying to adapt a pymc2 code to pymc3. However, there is a problem in the pymc3 model, one of the stochastic variable is not being sampled properly. In the new branch of pymc3 this problem is resolved.
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/usr/local/lib/python3.4/dist-packages/matplotlib/backends/backend_gtk3agg.py:18: UserWarning: The Gtk3Agg backend is known to not work on Python 3.x with pycairo. Try installing cairocffi.\n",
" \"The Gtk3Agg backend is known to not work on Python 3.x with pycairo. \"\n"
]
}
],
"source": [
"import pymc3 as pm\n",
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"from matplotlib import gridspec\n",
"from theano import tensor as T\n",
"from scipy import stats\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# I am trying to adapt a pymc2 code to pymc3. However, there is a problem in the pymc3 model, one of the stochastic variable is not being sampled properly...\n",
"\n",
"The model below is a latent-mixture model from Lee and Wagenmakers' [Bayesian Cognitive Modeling - A Pracitcal Course](https://webfiles.uci.edu/mdlee/LeeWagenmakers2013_Free.pdf) on page 93 (Chapter 6 example 7)\n",
"\n",
"\n",
"## 6.7 Alzheimer's recall test cheating\n",
"\n",
"\n",
"$$ \\mu_{b} \\sim \\text{Beta}(1,1) $$\n",
"$$ \\mu_{d} \\sim \\text{Gaussian}(0,0.5)_{\\mathcal I(0,∞)} $$\n",
"$$ \\lambda_{b} \\sim \\text{Uniform}(5,50) $$\n",
"$$ \\lambda_{c} \\sim \\text{Uniform}(5,50) $$\n",
"$$ z_{i} \\sim \\text{Bernoulli}(\\phi) $$\n",
"$$ \\theta_{i} \\sim\n",
"\\begin{cases}\n",
"\\text{Beta}(\\mu_{b}\\lambda_{b},(1-\\mu_{b})\\lambda_{b}) & \\text{if $z_{i} = 0$} \\\\\n",
"\\text{Beta}(\\mu_{c}\\lambda_{c},(1-\\mu_{c})\\lambda_{c}) & \\text{if $z_{i} = 1$}\n",
"\\end{cases} $$\n",
"$$ k_{i} \\sim \\text{Binomial}(\\theta_{i},n) $$ \n",
"$$ \\text{logit}\\mu_{c} = \\text{logit}\\mu_{b} + \\mu_{d} $$\n",
"$$ \\phi \\sim \\text{Beta}(5,5)$$"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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WJUmSpAKGZUmSJKmAYVmSJEkqYFiWJEmSChiWJUmSpAKGZUmSJKmAYVmSJEkqYFiWJEmS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\nChiWJUmSpAKGZUmSJKmAYVmSJEkq8P8BaKebEA8+dnMAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f89fc15ec18>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"k = np.array([26,23,39,34,28,23,36,32,29,31,40,23,40,39,25,40,34,29,38,37,33,30,37,31,40\n",
",34,38,23,39,19,35,26,38,18,31,37,40,34,33,40,36,35,21,37,23,40,39,37,36,34\n",
",31,32,34,30,40,24,33,40,40,23,39,22,23,32,37,40,25,34,40,27,35,32,40,36,40\n",
",29,30,35,39,28,27,40,32,40,25,30,26,37,17,38,30,33,36,33,27,38,34,40,20,40\n",
",25,38,20,37,32,40,21,40,34,40,31,37,27,34,36,36,21,26])\n",
"t1 = np.array([1,0,1,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,\n",
" 1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,\n",
" 0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,\n",
" 0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,\n",
" 0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,\n",
" 0,1,0,1,0,1,0,1])\n",
"\n",
"p = len(k) # number of people\n",
"n = 40 # number of questions\n",
"\n",
"fig = plt.figure(figsize=(12, 6))\n",
"bins = np.arange(0,n+1)\n",
"plt.hist([k[t1==0],k[t1==1]], bins, alpha=0.5, label=['Bona fide','Cheater'])\n",
"plt.xlim([0,41])\n",
"plt.legend(loc='upper left')\n",
"plt.ylabel('Number of People')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# The model seems to run with no problem in pymc2"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" [-----------------100%-----------------] 20000 of 20000 complete in 5.6 secPlotting psi\n",
"Plotting lambdac\n",
"Plotting mub\n",
"Plotting theta1\n",
"Plotting mud\n",
"Plotting theta2\n",
"Plotting lambdab\n",
"[[ True True False False True True False True True True False True\n",
" False False True False False True False False True True False True\n",
" False True False True False True False True False True True False\n",
" False True True False False False True False True False False False\n",
" False False True True False True False True False False False True\n",
" False True True True False False True False False True False True\n",
" False False False True True False False True True False True False\n",
" True True True False True False True True False True True False\n",
" False False True False True False True False True False True False\n",
" False False True False True True False False True True]]\n"
]
},
{
"data": {
"image/png": 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OfNLj9UV5CjLqwwKFrlF4+WOPFd7fzju3nperz6xFi+CaawrvM4pTTql+or1I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\nwtLWO0lYPhyY1DNJmG5RISIiIpKDJLeoEBEREUlVX98hzJg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"text/plain": [
"<matplotlib.figure.Figure at 0x7f89d580eba8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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2NbDG3ZeH00cMAcaY2XbuviRc7XjgX+lrqc6tpSKhcsix+uabUregnFWR+MFU\nXZ3bAHsiIpUq2x6r7wATwuki2gAPuPvzZna/me0NrAfmA2fF20yR8jJlSqlbICIi5Sjb4RbeAfql\nKB8RW4tEKsDKlaVugYiIJMQ1V2AcNPK6iIiIVLRyCKgSSjZXoIiIiEhLo8BKREREJCYKrERERKSi\ntYhxrERKpRyGWxARkfKhHCsRERGRFkiBlVSccpgrUEREJBUFVlno1avULRBQYCUiIg1VbI6VmXUA\nXgLah7e/ufvlZtYJeAToTjDy+gnuvjzmtpbcu++WugUCyrESEZGGKjbHyt1XA4PdvS/QBzjUzAYB\nI4Hn3H134AVgVOwtFRERESlzWZ8KdPdV4d0O4fZfAMcCE8LyCcBxsbROJEeffVbqFoiISGuUdWBl\nZm3MbDqwBKhx99lAZ3evBXD3JcC28TZTJDtLlpS6BSIiUiwVm2MF4O7rgb5mthnwjJlVAcnpxEov\nFhERkaIopxyrnAcIdfcvzexpYB+g1sw6u3utmW0HfJp+y+rI/arwJiItR014g+rqEjZDRKQEsr0q\ncGtgjbsvN7ONgCHAGOAJ4FTgWuAU4G/pa6nOraUiUiGqSPxgqq6mbLrnRUSKIdseq+8AE8zMCPKz\nHnD358Ocq0fN7HRgAXBCzO0UqaPhFipHVVWpWyAirUHiB1w5nBLMKrBy93eAfinKPwcOj6tRIvlS\n8FUeJk8udQtEpDUoh4AqQSOvi4iIiMREgZWIiIhITBRYiYiISEWr6HGsREQkd+vXb8hJJ51Fx46b\n5VVP+/btmDjxTnr06BFTy0QqVznlWCmwkhZJyetSrr76aiJffTU373o6dryKGTNmKLASKTMKrKRF\nco39L2WrS3jLT7t22+TfFBGJnXKsREREpKIpx0okD+qNEgAzuwc4Gqh19z5h2XXAMcBq4APgNHf/\nMlw2CjgdWAtc4O7PhuX9gPuADYGn3f0XRT4UEclTOeVYZdVjZWZdzewFM5tlZu+Y2flh+WgzW2Rm\n08LbUYVprohInfHAkUllzwJ7uvvewFxgFICZ9SKYEWIPYCgwLpxBAuB24Ax33w3YzcyS6xQRyVi2\npwLXAhe5+57A/sB5ZtYzXHaju/cLb5NibaVIlpS8Xh4GDSpc3e4+Bfgiqew5d18fPnwN6BreHw5M\ndPe17j6fIOgaGE4av6m7Tw3Xux84rnCtFpGWLqvAyt2XuPuM8P4K4F3qszD1VSZFoaCpcnTvXtLd\nnw48Hd60LfDNAAAgAElEQVTvAiyMLFtMfRb5okj5IuLILBeRomoROVZmtiOwN/A6cCBB79VPgDeB\ni919eRwNFBHJlpldAaxx94dL3RYRKbxyyrHKKbAys02AxwgSQFeY2Tjg1+7uZvY/wI3AGTG2U0Qk\nI2Z2KjAMODRSvBjYIfK4a1iWrrwJ1ZH7VeFNRFqCmpoaampq8qoj68DKzNoRBFUPuPvfANz9s8gq\ndwF/T19DdeR+FfpQEmlpasIb/PWvBd+ZEUlDCC+cuQQ42N1XR9Z7AnjQzG4iONW3C/BG+GNwuZkN\nBKYCI4Bbmt5ldZztF5EyUlVVRVVVVd3jXE4v5tJjdS8w291vThSY2XbuviR8eDzwr/SbV+ewS5F6\nq1c3v47ysEqpisQPplWrAAqT92BmD4U72srMPgJGA5cD7YF/hBf9vebu57r7bDN7FJgNrAHOda8b\nuONnNBxuQRffiFSYRABUDqcEzbMYFMjMBgEvAe8AHt4uB35MkG+1HpgPnOXutSm292ATkcKaNQv2\n3LPUrZCA4e4tItQtp8+wzTY7nvHjT+b4448vdVMykhjdIpvvHJFSM8v+8yurHit3fxlom2KRfuFJ\nWdFnt4iIlIKmtBERERGJSdEDqzN0raAUgXKsRERajxYxjlWudtml2HsUERGRlqwcktYTdCpQRERE\nJCZFD6y++qrYexQREREpjqIHVu+/X+w9ioiISEvWqnOsdBm8FIOS10VEWg/lWImIiIi0QFkFVmbW\n1cxeMLNZZvaOmf08LO9kZs+a2Rwze8bMNi9Mc0VERETKV7Y9VmuBi9x9T2B/4Gdm1hMYCTzn7rsD\nLwCj4m2miIiISGoVm2MVTrS8JLy/wszeBboCxwKHhKtNIJjafmSqOr75JtemioiIiDTWInKszGxH\ngomXXwM6JyZdDoOvbdNt99RTue5RREREpLzldFWgmW0CPAZcEPZcJV/r18S1f9WR+1XhTURajprw\nJiLS+mQdWJlZO4Kg6gF3/1tYXGtmnd291sy2Az5NX0N1Ds0UkcpRRcMfTOWR9yAiLVciv6ocTgnm\n0mN1LzDb3W+OlD0BnApcC5wC/C3FdmkdfTQ8+WQOLREREZFWrxwCqoSsAiszGwScBLxjZtMJTvld\nThBQPWpmpwMLgBPibqiIiIhIucv2qsCXgbZpFh+eayM0GrvETSOvi4hIKWjkdREREaloFTuOVaGo\nd0FEJHuvvfYaFsMH6NChQ9lwww1jaJFIaVRsjlWh6FSgiEh2Vq06kTvumMgdd8zNq57Vq9/mxhs/\n4dxzz42pZSKtW1kEViIikp21a0/kyy9PzLueDh1+ztq1a2NokYiAcqykhVqwoNQtEBGRYlGOVRKd\nCpS4HXVUqVsgIiLFUk45VuqxEhEREYmJAisRERGRmGQdWJnZPWZWa2YzI2WjzWyRmU0LbzoRIyIi\nIkVR6TlW44FbgfuTym909xvzb5KIiIhI5io6x8rdpwBfpFikYT5FRESkVYszx+o8M5thZneb2ebZ\nbKirAkVERKQliGu4hXHAr93dzex/gBuBM1KvWh25XxXeRKTlqAlvIiLFkcivKodTgrEEVu7+WeTh\nXcDf069dHccuRaRsVdHwB1N5JJSKSMtVDgFVQq6nAo1ITpWZbRdZdjzwr3waJSIiIlKJchlu4SHg\nFWA3M/vIzE4DrjOzmWY2AzgEuDDmdoqINJBm6JdOZvasmc0xs2ei+Z5mNsrM5prZu2Z2RKS8X/j5\n9b6ZjS32cYhIy5LLVYE/dvft3b2Du3dz9/HuPsLd+7j73u5+nLvXFqKxIiIR44Ejk8pGAs+5++7A\nC8AoADPrBZwA7AEMBcaZWaLX/XbgDHffjeAHY3KdIlLmKn0cq9jpqkARyZa7TzGz7knFxxL0mgNM\nIMiiHwkMBya6+1pgvpnNBQaa2QJgU3efGm5zP3Ac8Eyh2y8i8WkJOVYiIuVo20SPubsvAbYNy7sA\nCyPrLQ7LugCLIuWLwjIRkZwosBKRlkz94SJSVDoVKCItSa2ZdXb32vBq5U/D8sXADpH1uoZl6cqb\nUB25X4XG4hMpvbjGsaqpqaGmpiavOooeWHXpAoub+dgSEclQg6FfgCeAU4FrgVOAv0XKHzSzmwhO\n9e0CvBEOarzczAYCU4ERwC1N77I6vtaLSCziyrGqqqqiqqqq7nEuCfFFPxW4xx6Ny0yzDIpIltIM\n/XINMMTM5gCHhY9x99nAo8Bs4GngXPe6vvKfAfcA7wNz3X1ScY9ERFoSnQoUkYrk7j9Os+jwNOtf\nDVydovwtoHeMTRORViyXAUKzGpRPREREpJDKaRyrXE4FZjwoXyrr1uWwRxEREZE0Ro8eXTZjWeUy\n8voU4Iuk4mMJBuMj/Htcuu1ffDFVndm2QqTwOnQodQtERKTSxJW8nm5QPpGKNWNGqVsgIiKVplBX\nBWbVB6WrAluu119PfSWoiIhIXMopxyquqwLTDcqXQnXkfhVQ1WpOBW6xBSxbVupWFNf228OrrwbH\nXmnieF/uuivMnZt/PZWlJryJiBRHueRXQe6BVaaD8qVQneMuK19rCSCjWuMxRw0Z0hoDqyoajkZe\nHr8iRUSKIZfhFjIelK+QvvOdQu+hfGy1Valb0Lq0pveWiIjEK+seq2wH5cuszly3rCy5Hme7Eg/j\n2qcPzJzZ/HqpVGL+3AYblLoFudlyS/j881K3QkSk+OKaKzAORZ/SphA6dSp1Cwqrtra0+7/yyty3\njTNonjIlvrqacvPNxdlP3JrqaavEHDcRkUxV9DhW+RoyBO65J/96oj0hffrkX18xVGLvTTkZNKg4\n+zkuHIWtJb1eyaeT//Of0rRDRKSlK3pgtfHGcPrp0LNnfVmqL7Drrmu6nug2lfIFWCntTFap7U5n\n/vxSt6D4kl/DlvaaioiUi6IHVqk+0NukaMXZZ2deZ1VVzs0pqkr9MjvggNy3Lcdj7t49s/WyPY25\neYlmyGzfPvttUv3PiYhUqnIax6psA6vm7LNP/f2jj869PcVUjkFGJrbcMvdt3Ytz3OPHF34fzRky\nJP2yvfYq3H5PPz3421Qg+OijDR9X6ntRRCSVVp1jlUouEzM/9li8bTjppHjrSyWTL7NNNsmsruHD\nGz4eObLxOr16NV/PwIGZ7W/JkszWy0QhflTElWe3dm3jsh/9KLNtU72+iW0POyz3NsWhb1/YNjLR\nlHqsREQKo2Qfr+PH1/eEPPNM9ttHhyCI49f3+vX519GcTNqZ6Wmdo46C//7v/PeX7gu2W7eG9cTZ\nw3HppU0vP/fc+PaVzu9+l/m6mV5Rl9xjtGoVHHhg6mVN6dgx83UBdtstu/VBPVYiIoVSssBqv/3g\ns88Kv5/EFV6pRC9PzzWwOvTQ9Mv+678aPs4n0EnWtSvceWf+dUXX+fe/6+//6Ef1wUCbNk23/ZFH\nmt9PNooxfMaoUanLUwVAuQYhG25Yfz+bPKhMn8+LLgr+XnBBZutX4gUfIiKZaLE5VmY238zeNrPp\nZvZG6nUiOw/33rt34/U6dGj4eM89c2vTgAGN95cQHQgy18DqhhvSL8vkSqxddml+nabqnjYtmOg4\nauutg79t22ZeD8DOO9ffTwQY7sHz1FS7mmtzdPmAAdl/qf/xj3D11Znvoylvvtn08nwCq222Sb/d\nRhtlVkc2Eq9v9H197LGN10ucjtxuu+z3cdVVza9zxBEarV5ESqsl51itB6rcva+7p8zeSf6Sevfd\nYJLeZMm/8Js6ldLUF9+oUfD97wf3N9gAfvrT+mXRHKRMT9XUj6VUk3Lf7kHO2OrVjZdFh5hIt99o\nINiURN19+6bPk0p8kab6Qt13X7j99kSPXk1d+WWXBX+TA83E/n7wA/j009TLmrNgQcMg8Mkn4b33\nYOHCoAcOGvfC/eMfcNZZjXPIEr01DdU024b+/evvv/hi/f17702/TVPHd/XVwaj0U6fCb34Dl1wC\nZ57ZeL10Vwy+9lrjsh49INWxJAcvX3/deNu//rW+pzSRTJ8ISrt0abhuXHmF0QsU2rWrf0+3awdf\nfRXPPkREKkXcgZU1V+cVVzR83LNnMLZV1NChjbdLF/i8/HIzDbL6nJ3Bg+GOO+o/7KO/9LPvsaqp\nqz/hgQfq623fHkaMaHg1WCaX4++/f/A32nuUSvKX/YknwimnBPc32SR4vnbcMXh8++0N1z36aLjm\nmmBIi1/+Ejp1qqlbdk04y2Py87355nDeeTB2bNM9M8k226z+frduDfO1ttoKdt89CKoSp82S88ZS\nve777puup7CGI49sXNq3b+q2VVUFz9vvfgennRa0K9rLt/HGwXM0YkR9WeI1Pv/84O/IkUGP6z77\nBMdz3XWNj2HKlPRXDEZz2RKCgL+mQVn79vDCC/DrX9eXHXMMHJ5iIqlddw3+XnxxcNFBquEl2rVL\n/bxceGHqdjbFPXgfQcOhT9q1y/xiDBGRliLuwMqBf5jZVDNLmVqd/KWcEPxKDxx0UPA3+iHtHvRs\nzJnT8Jf6dtsFV4T97/8Gv8jnz68PKBJf4Ikv7Z/8JPib+LCPBgS77hqcrqmpSd2+a9JMKx2tI3nY\nh2HDYPp0+HE4u+KaNY23Tw4cDjwQOncO8p0++ijIn0kETFD/xR+9wgtg773hvvtg3rz6qV+uuCLI\n11mxouG6d9/d/NhfycFBu3Zw662Nez2g6cBq880bn5JMrJ9JDlj0fZHYNlXPX+JCiFS5U/vtl77+\niRPrt1m/vr5NX3wRBD23317fi3j55UEgBo2f/6jkq1wHDUqdY7XLLpmdnps1C95+Ozjuq66q/6Fw\nxBFBj16yxCjrG20UvJcSoq9T+/ZBr1/yD4pooHfjjZn1Rq5fHwRkd99d/38ydWrqnmgRkUIopxwr\n3D22G/Cd8O82wAzgwKTlvnixpzR/vnsQZriPHRuUff65+8KFQdk++zTeBtw/+KBxea9ewbJly4LH\n69cHj6dPr1/n6KPdJ0wIyl991X31avfPPguWrVxZ3xZw32SToPzCC93/9KegrGPH0Q7uX3/t/vvf\nB2XLl6c+tpUr3f/yl2Cf0XrBvXfv+vZB6u0TxwruN93kfsop6ddLZfx4r2sruH/yScPl//Vfo/26\n67KrM3oMixe7z5jh/tOfNj6+hIULG27/5JPu33xT//ill9wnTgzuP/WU+8CBqfe7YoX7t9/Wt6Fn\nT/ef/CR4fOWVo/3bb4Pn+pZb3I85Jljn2mubf36zsXKl+9y59ftN9sorjff12WdB2WWX1bcl8TqC\n+y67BMuGDEmUBe+v6urU+//ww4Zl48a5T5oU3F+zxv3++93XrWu4zksvuf/ud8FzGHX++cGx/L//\nF2wD7tdfH7wv//IX9513rn+dV61yHz48eLxwoftRR7nfcUfTz1fwMRPf50wpb0Cj93il3zp0ON9v\nvvnmpl/EGATPXUz/hCJFksvnlwXbxc/MRgNfufuNkbLC7ExEypq7Z5SJZ2aPAM8CD7r7N4VtVfaC\nz7CW9THWocPPue66Xfj5z39e0P1Y2P1ZqO8ckUIws4w/vxLaNb9KxjvvCLRx9xVmtjFwBNCgXy7b\nxolI6+LuJ5rZEcBDZvZv4GZ3X1zqdomIZCq2wAroDPwl7JVqR/CL89kY6xeRFs7M+gPHAPOAJ4Eb\ngB+WtFGtwAsvvMDaVNMOZOn73/8+3TOdjFMkRon8qnIYcqFgpwJFRLJlZhcB97j78vDxnu4+q8TN\nqtMSTwXCdDbY4IG8a1m/firnnbcfY8f+PuVynQqUSpTLqcBiJn0eBbwHvA9cVqz9ZtG+rsALwCzg\nHeDnYXkngpyPOcAzwOaRbUYBc4F3gSMi5f2AmeGxji3R8bQBpgFPVPhxbA78OWzbLGDfCj6WUeEx\nzAQeBNpXyrEA9wC1wMxIWWxtD5+LicCnwKtAN+DsUrxOzTwPJU82L9/bdX7BBb/0dFDyulQgckhe\nL8qUNmbWBvgDcCSwJ/AjM0tx0XxJrQUucvc9gf2Bn4VtHAk85+67EwReowDMrBdwArAHMBQYZ1Z3\ncfrtwBnuvhuwm5mlGF2p4C4AZkceV+px3Aw87e57AHsRBOcVdyxm1h34b6Cvu/chOF3+owo6lvEE\n/79Rcbb9DOBz4AFgLHAdsFPhDkdEpDCKNVfgQGCuuy9w9zUEv0xTTL5ROu6+xN1nhPdXEPzS7krQ\nzgnhahOAxOyDw4GJ7r7W3ecT/DofaGbbAZu6+9Rwvfsj2xSFmXUFhgF3R4or8Tg2Aw5y9/EAYRuX\nU4HHAnwJfAtsbGbtgI2AxVTIsbj7FOCLpOI4256oywkCsmMIBhwWEWlWOY1jFWfyelO6AAsjjxcR\nBFtlycx2BPYGXgM6u3stBMGXmSWGhuxCcMoiYXFYtpbg+BIWheXFdBNwCcFptIRKPI6dgKVmNp6g\nt+pN4BdU4LG4+xdmdgPwEbAKeNbdnzOzijuWiG1jbHsXYKG7/zLs8ToVSDMsr4hIQ+WQtJ5QrB6r\nimFmmwCPAReEPVfJmZZlnXlpZt8FasPet6Z+8Zf1cYTaEeTk3Obu/YCVBKefKuo1ATCzHsCFQHdg\ne4Keq5OowGNpQt5tN7NzgCuArYA7m1ldRKTsFCuwWkyQjJrQNSwrK+EpmseAB9z9b2FxrZl1Dpdv\nR5BcC0H7d4hsnjimdOXFMggYbmbzgIeBQ83sAWBJhR0HBD0aC939zfDx/xIEWpX2mgDsA7zs7p+7\n+zrgL8ABVOaxJMTZ9sSy7YARwNfu/oPCNV1EpDCKFVhNBXYxs+5m1p5gXJonirTvbNwLzHb3myNl\nTxCclgA4BfhbpPyHZtbezHYCdgHecPclwHIzGxgm7I6IbFNw7n65u3dz9x4Ez/ML7v4T4O+VdBzh\nsdQCC81st7DoMIKr6irqNQnNAfYzsw3DNhxGcHFBJR2L0bAXNM62PxHWsT1B4vrscKBQEZFmlVOO\nVTEvUz6K4MtlLjCyWPvNon2DgHUEcxxOJxiq4ChgS+C5sO3PAltEthkF/JvGl5T3JxiyYS7ByNGl\nOqZDqB9uoSKPgyC3amr4ujxOkDdWqcdyCfXDLUwANqiUYwEeAj4GVhPkiZ1GMNxCLG0HOgCPAkvC\n7S4GRuTR3liGtkhRbxkMa1CuNw23IC0POQy3oAFCRaRsmNkBwEB3H2tmw909657tcGiLF4Ge7v5t\nOP/g00Av4D/ufp2ZXQZ0cveRYbL8g8AAgtOTzwG7eooPx5Y5QGhcfs8FF3yqAUKlRcllgFAlr4tI\nOTkV2CK8f0iOdcQytEWO+xaRVk6BlYiUk5XA+jAHq1MuFbj7FwRzDH5EEFAtd/fnSBqmA4gODxEd\nDiYxPISIVIhyyrEq1jhWIiKZeBI4n+CqydtyqSBpaIvlwJ/jHdqiOnK/KryJSCnFNY5VTU0NNTU1\nedWhwEpEyslC4LLwfq7JOHVDWwCYWYOhLdy9NsPhIdKozrFZIlLuqqqqqKqqqnucSy+YTgWKSDn5\nEXAicDo59lgR09AWOe5bRFo59ViJSNlw97qfh2Z2UY51vG1m9wNvEQyhMp1gFPdNgUfN7HRgAcFE\n0bj7bDN7lCD4WgOcm+qKQBEpX4mepXKY2kbDLYhI2TCzh6k/BVjr7heWsj3JNNxCUzTcgrQ8uQy3\noB4rESkb7v6jUrdBRCQfCqxEpGyY2RMEI9I7sBZY4e4/Lm2rREQyp8BKRMrJTCCRJFHt7leVsjGS\nnXffncWf/vSnJtdpbjnAQQcdRPfu3eNqlrQCyrESEUkhnH4mkVd1fbn1VinHqin/YuONr8HSZKOs\nWPEgAJtsclKTtaxdO58hQ7rxxBMPxd1AkazlkmOlwEpEyoaZ7Qb8lCB6udvd55S4SQ0osMpH4rup\nuedvIkOH/pWnn55Y6AaJNEtzBYpIpdsKWOTulwC7l7oxIiLZUmAlIuXkNPKfhFlEWhnNFSgiklre\nkzCLSOtTDknrCeqxEpFy8iTQj2AS5odL3BYRkaypx0pEysn27n5cqRshIpIrBVYiUk76mtl7wHIA\nd3+/xO0RkQpQTuNYFTWwCi5VFpHWJpPLlc1sGEFAdTHwLsF1+b8ucNNEpAUoh4Aqoeg5Vu7eIm6j\nR48ueRt0LC3zOFrasWThaHcfA3zh7mPcXUGViFQcJa+LSLnoZmZHADuY2RHhfRGRiqIcKxEpF38G\nvhP5q9QBEclIq82xakmqqqpK3YTYtJRjaSnHAS3rWDLl7hNK3QYRqUzlEFAlFHWuQDPzYu5PREov\nl7m2ypXmCsxH5nMFHnLInxg//ta897jNNtuwySab5F2PtF5lPwmzAiuR1keBlQQyDaxmsPHGP8Bs\nXV57W7fuGwYM6M/kyU/mVY+0brl8fjV7KtDM7gGOBmrdvU+adW4BhhJMR3Gqu8/IphEiIiKBvVm5\n8t8x1PMyS5deGkM9UgkqLcdqPHArcH+qhWY2FNjZ3Xc1s32BPwL7xddEERERkfTKIaBKaHa4BXef\nAnzRxCrHEgZd7v46sLmZdY6neSIiIiKVI45xrLoACyOPF4dlIiIiIq2KBggVERGRijZmzJi6PKtS\ni2Mcq8XADpHHXcOylKqrq+vuV1VVtcrxekRaspqaGmpqakrdDBFpRcopxyqj4RbMbEfg7+7eO8Wy\nYcDP3P27ZrYfMNbdUyava7gFkdZHwy1IINPhFuLyMr16XcqsWS8XaX/SEhVquIWHgCpgKzP7CBgN\ntAfc3e9096fNbJiZ/ZtguIXTsm+6iIiISOVrNrBy9x9nsM558TRHREREJDuVNo5V0UyYMIGVK1dy\n7rnn5rT94MGDeeqpp+jYsWPK5XfccQcbbbQRI0aMyKeZIiIiUkbKIaBKaFFXBZqVdxpHcn6Z8s1E\nRERalrINrE466SQGDx7MwQcfzKJFiwDo378/55xzDv379+euu+7ilFNOoW/fvjzyyCNAEKhceuml\nHHjggVx55ZUALFy4kIMOOoijjz6al156qW69IUOGMHjwYI488khWrFgBwL333sv+++9PVVVVo6ua\nrr/+egYPHsyAAQN4/vnnAfjggw84/PDDGTx4MJdddlndegcccAAHHngg06dPB6Bfv3789Kc/5dRT\nT2XChAkce+yxHHPMMXX1iIiISAvh7kW7BbtL77777vPbbrvN3d2//vprd3d/4okn/Morr3R39x49\nevjixYt91apVvsUWW/jSpUt92bJlPmjQIHd3r6qq8ueee87d3YcOHeoffvihn3feeXVlJ510kk+Y\nMKFB/bfccovffffd/tlnn/mgQYN83bp1KduWWH/p0qU+ePBgd3f/3ve+52+//XbdOkuWLPFDDjnE\n3d3nzZvnhx9+uLu777TTTj5v3ry6YxwxYkSTz4NISxL+3xf1s6ZQN8DBdcvphhf3+ZvivXodEPO7\nWcpVdXW1V1dXx15vLp9fZZVjlbB+/XouvfRS3n77bVavXs2ee+4JQKdOndh+++0B6NmzJ1tttRUA\n3377bd22/fr1A2Dvvfdm3rx5fPDBB3VlAwcOBGDVqlWcddZZfPTRRyxfvpzvf//7zJs3j379+tGm\nTepOvAceeIAHHniANm3aUFtbC8CiRYvo06d+Xur58+ez1157AbDTTjvx5Zdf1rV7p512qltvwIAB\neT5DIiIikqAcq2bMmDGDzz//nMmTJ3PFFVckfilmlEOVOP329ttvs/POO7PLLrswbdo0AN58800A\nJk2aRPfu3Zk8eTJnnHEG7k6PHj2YMWMG69atAxrnP918883U1NTw2GOP1ZV169aNmTNn1q2/4447\nMmPGDNydefPmscUWWwA0CtbSBW8iEg8z29zM/mxm75rZLDPb18w6mdmzZjbHzJ4xs80j648ys7nh\n+keUsu0iUtnK8hu+Z8+efPTRRxx55JG88MILdeXRwCpVkGVmPPnkkxx44IH07duX7t27c8kll1Bd\nXc2wYcNYu3YtAPvttx+TJk3imGOO4Z133gFg66235tRTT2XQoEEcfvjhTJ48uUHdBx98MAcddBC/\n/e1v2WyzzQC49tpr+cUvfsGhhx7K5ZdfTufOnRk+fDiDBg1ixIgRXHvttWnbKiIFdTPwtLvvAewF\nvAeMBJ5z992BF4BRAGbWCzgB2AMYCowz/dOKSI4yGnk9tp1p5HWRVqfYI6+b2WbAdHffOan8PeAQ\nd681s+2AGnfvaWYjCfIorg3X+z+g2t1fT1G3Rl7PmUZel8Ip1DhWBRl5XUSkwuwELDWz8QS9VW8C\nvwA6u3stgLsvMbNtw/W7AK9Gtl8clolIhVCOlYhI4bQD+gG3uXs/gqm2RtK4q0RdTyISO/VYiUhL\nswhY6O5vho//lyCwqjWzzpFTgZ+GyxcDO0S27xqWpVEduV8V3kSkJaipqWk0jmW2lGMlIgVV7Byr\ncJ+Tgf929/fNbDSQmOfqc3e/1swuAzq5+8gwef1BYF+CU4D/AHZN9WGlHKt8KMdKCqeccqwUWIlI\nQZUosNoLuBvYAJgHnAa0BR4l6J1aAJzg7svC9UcBZwBrgAvc/dk09SqwylmxA6v3aNu2L+3a5X9i\nZp99DmTKlP+LoU1SaRRYiUjZKUVgVSgKrPJR7MAKYBWwLs86FrLllkfxn/98FEeDpMLoqkAREZE6\nHZtfpVmbxFCHtCYKrERERJrwzTcruPvuu/Oup1u3bhxxhAb2L4RC5VjlQqcCRaSgdCpQAqU4FRiH\nb+nQ4Uratv08z3qcr78ez/r162NplRRHwXKszOwoYCzBuFf3JEYojizfCvgT8B2CBNEb3P2+FPUo\nsBJpZRRYSaBSA6u4ONCm0Ty0Ut4KEliZWRvgfeAw4GNgKvBDd38vss5oYEN3H2VmWwNzCEY5XptU\nlwIrkVZGgZUEFFgpsKo8uXx+ZTLy+kBgrrsvcPc1wETg2KR1lgCbhvc3Bf6THFSJiIiIFMKYMWPq\n8qxKLZPk9S7AwsjjRQTBVtRdwPNm9jHBJRQnxtM8ERERkaaVQ9J6QlxzBY4C3nb37YG+wG1mpmtU\nRQ3kkAcAABTlSURBVEREpFXJpMdqMdAt8jjVPFqDgN8CuPsHZvYh0JNgVvkGqqur6+5XVVVRVVWV\nVYNFpLzFMdeWiEilyiR5vS1BMvphwCfAG8CP3P3dyDo3AF+6+xgz60wQUO3l7p8n1aXkdZFWRsnr\nElDyupLXC6fi5goMh1u4mfrhFq4xs7MAd/c7wysBxxP0bBlwtbs/nKIeBVYirYwCKwkosFJgVXk0\nV6CIlB0FVhJQYKXAqvIUargFEREREcmA5goUEREpkhdffDHvOjp16sTee+8dQ2taDs0VKCKthk4F\nSkCnAjfe+DTatVuQd00rV77GokXz6dy5cwztkqbk8vmlHisREZGCM1auvC+Wmjp27MqaNWtiqUvi\npxwrERERkZgosBIREZGKVk5zBSrHSkQKSjlWEmjtOVbx6dixK++88xJdu3bNqx4zY4MNNoipVS2T\ncqxERERaOLNd2XXXnnnX07ZtW2bNmsmuu+4aQ6skQYGViIhIBVm5Mv8hGwA23XR/li5dqsAqZsqx\nEhERkYpWTjlW6rESERGRilYOA4MmKLASERFppR577DGmTZuWVx1t27bllFNOYaONNoqpVZVNVwWK\nSEHpqkAJ6KrActOmzWO0b59/vpb7JO6//2pOOOGEGFpVXnRVoIiIiGRk/fof8M03P8i7nk03LX1A\nVU5zBSqwEhERkYpWDgFVQsmuCqyuri7VrkVEREQKIqPAysyOMrP3zOx9M7sszTpVZjbdzP5lZs2e\ntC2XyyJFRERE4tJs8rqZtQHeBw4DPgamAj909/ci62wOvAIc4e6LzWxrd1+aoq665PUwISy2AxGR\n8qTkdQkoeb2l6tjxFLbc8jU222zrvOoxg7vuup79998/620LlWNVqOT1gcBcd18Q7mQicCzwXmSd\nHwP/6+6LAVIFVSIiItLyrFo1llWrZuddT7t2t/LKK6/kFFiVU45VJoFVF2Bh5PEigmArajdgg/AU\n4CbALe7+QDxNFBERkfLVCRiUdy1mj+fflDIQ11WB7YB+wKHAxsCrZvaqu/87pvpFREREmlVTU8PJ\nJ59DqbKNMgmsFgPdIo+7hmVRi4Cl7v4N8I2ZvQTsBTQKrKJXA9bU1FBVVZVdi0WkrNXU1FBTU1Pq\nZiTyQ98EFrn7cDPrBDwCdAfmAye4+/Jw3VHA6cBa4AJ3f7Y0rRaRXERzrKZPn86nnw5gzZpRedb6\nDHBh1ltlkrzeFphDkLz+CfAG8CN3fzeyTk/gVuAooAPwOnCiu89OqkvJ6yKtTKmS183sQqA/sFkY\nWF0L/Mfdrwuvbu7k7iPNrBfwIDCA4Ifjc8CuqaaJUPJ6PpS8Lk3bYIOLufrq7bn44ovzquemm25i\n5MiP+Pbbm/Js0WPAf2X9+dXscAvuvg44D3gWmAVMdPd3zewsM/tpuM57BKHdTOA14M7koEpEpFjM\nrCswDLg7UnwsMCG8PwE4Lrw/nOBzba27zwfm0jiPVEQkIxnlWLn7JGD3pLI7kh5fD1wfX9NERHJ2\nE3AJsHmkrLO71wK4+xIz2zYs7wK8GllvcVgmIpK1ko28LiJSCGb2XaDW3WdQf/4pFZ2TEmkhxowZ\nUzYDj2uuQBFpaQYBw81sGLARsKmZPQAsMbPO7l5rZtsBn4brLwZ2iGyf6gKdiOrI/arwJiKlFN84\nVjXhDSC3jCYFViLSorj75cDlAGZ2CHCxu//EzK4DTgWuBU4B/hZu8gTwoJndRHAKcBeCi3TSqC5Q\ny0Wk9Kqo/7H0GPDnrGtQYCUircU1wKNmdjqwADgBwN1nm9mjBD9P1wDnproiUEQK7/nnn2fNmjV5\n1fHPf/6TYNzy0mh2uIVYd6bhFkRaHc0VKAENtyDNmUXbtrlN2nLVVRsB8JvffA3AunUnA/8vz/bk\nNtyCAisRKSgFVhJQYCWVpkDjWImIiIhIZhRYiYiIiMREgZWIiIhUtOrqMVRXl8c4VsqxEpGCUo6V\nBJRjJZVGOVYiIiIiJaXASkRERCQmCqxERESkoinHCuVYibQWyrGSgHKspNJUaI5VdXV1qZsgIiIi\nEouS91ip50qkZVOPlQTUYyWVpkJ7rERERETyUXE5VmZ2FDCWIBC7x92vTbPeAOAV4ER3fzzFcvVY\nibQy6rGSgHqspNIUqMfKzNoAfwCOBPYEfmRmPdOsdw3wTDYNEBEREWkpMjkVOBCY6+4L3H0NMBE4\nNsV65xOEd5/G2D4RERGRipFJYNUFWBh5vCgsq2Nm2wPHufvt1Pf3ioiIiBRcOeVYtYupnrHAZZHH\naYOr6PAKNTU1/7+9+42ZrCzvOP79ASL+CUhjWFMWVgitIJECobC6IlhaXGiKxiaWrbUtjZakUkk3\nbVh8s7NvqvuiNBhKzCIlQGyp2j8sUeu63T4vNEW2ZRe2+881BAsLrBoJRKp2wasv7nvY4+zM88w8\ne86cc8/z+yQnO3P2zLnva2bOmeu5zzX31NS8mXXF3Nycj20zm6peb33bXXjVgsXrklYCvYhYne+v\nA6JawC7pif5N4M3AS8AfR8TmgX25eN1siXHxuiUuXrfSLK54fZwRq+3AOZJWAM8C1wNrqhtExNn9\n25LuAR4aTKrMzMzMZt2CiVVEvCLpJmALR6Zb2CvpxvTfsWnwIQ3008zMzGyofn1VFy4JeuZ1M2uU\nLwVa4kuBVhrPvG5mZmbWKidWZmZmZjXpVGJVnYrBzMzMbBxdmseqUzVWrrcymz2usbLENVZWGtdY\nmZmZmbXKiZWZmZlZTZxYmZmZWdFcY4VrrMyWCtdYWeIaKyuNa6zMzMzMWuXEyszMzKwmTqzMzMys\naK6xYv4aq16v58lCzWaEa6wscY2VlWaGaqw2bOhG1mlm5ZG0XNI2Sbsl7ZL0ibz+VElbJO2X9DVJ\np1Qec6ukA5L2Srq6vd6bWek6mViZmR2Dl4G1EXE+8E7g45LOBdYBWyPibcA24FYASW8HPgScB1wD\n3ClpJkbYzGz6nFiZ2UyJiOciYme+/SNgL7AceD9wb97sXuAD+fZ1wAMR8XJEPAkcAC6daqfN7Jh0\nqcbqhLY7YGbWFElvBS4EHgaWRcQhSMmXpNPyZqcD/1F52MG8zswK0eutb7sLrxprxErSakn7JH1b\n0i1D/v93JT2Wl29Iekf9XTUzG5+kN5KqT2/OI1eDVdOuojaz2i04YiXpOOAO4CrgGWC7pAcjYl9l\nsyeA90TEC5JWA3cBK+vooL8haGaTknQCKam6PyIezKsPSVoWEYckvQX4Xl5/EDij8vDled0Ivcrt\nK/NiZrNhLi8Aexa1hwWnW5C0ElgfEdfk++uAiIiNI7Z/E7ArIs4Y8n9jTbfgn7kxmx1tTLcg6T7g\nBxGxtrJuI/DDiNiYR95PjYh1uXj988BlpEuAXwd+KYaceDzdwrHwdAvWnH59Vb2XBBc33cI4NVan\nA09V7j/N/IWdHwW+OkknzMzqImkV8GFgl6QdpE/yTwIbgS9I+iPgu6RvAhIReyR9gfTn6WHgT4Yl\nVWbWXV2qsaq1eF3Se4EbgHfXuV8zs3FFxDeB40f896+PeMyngE811ikzWzLGSawOAmdW7g+tP5B0\nAbAJWB0Rz4/aWbVeam5ubsxumlkp5ubmfGyb2ZI1To3V8cB+UvH6s8AjwJqI2FvZ5kzg34CPRMTD\n8+xr0TVWLmI3K5N/0sYS11hZc7pUYzXWbwXmb/rdTpqe4e6I+LSkG0lF7Jsk3QV8kFS3IOBwRBxV\nh3UsiZWL2M3K5MTKEidWVpoGE6u6OLEyW3qcWFnixMpKM0M/wrwQXxI0MzOzLipyxMqjV2bl8IiV\nJR6xsuYUV2NVFydWZkuPEytLnFhZaZbQpcA+XxI0MzOzLil6xMojV2bd5xErSzxiZaVZgiNWZmZm\nZr3ehlfrrNo2MyNWnkDUrJs8YmWJR6ysNEuweN0F7Wbd58TKEidWVhpfCnyVR67MzMysDTM5YuXR\nK7Pu8IiVJR6xsuZ4Hiumk1i57sqsfU6sLHFiZaXxpcCjbNhw5BsCTrDMzMysaTM9YuXLg2bt84iV\nJR6xstJ4xGos1ZGr/u2F1s33WDMzM2uX57GivRGrY5kjyyNgZpPziJUlHrGy0njEqjHVWq1Bk4xc\neZTLzMxsto2VWElaLWmfpG9LumXENp+RdEDSTkkX1tvN7hpVID/skmJ/22knWONe6jQzM7NjFBHz\nLqTk6zvACuA1wE7g3IFtrgG+nG9fBjw8Yl/R179d97om991EH+q2fv36o24v1If+dtXHjtvGsfTL\nlob8XlvwXFPCAgSEl0UthJ8/L00tvV4ver1ezfv9Yizm/LXwBrAS+Grl/jrgloFtPgv8TuX+XmDZ\nsJPSwMk26l7X5L6b6EPdSUZdsQzr17BEbb6krLpuWHulJluTJqKlaeg9OdGJqauLE4NjWZxYeSlt\naS6x+m1gU+X+7wGfGdjmIeBdlftbgYuHnZQGTrZR97om991kHxaTZAz7gK87lmH7HjcpW8xzU0Ky\nMu6oXwmxDFN34uvEyktanFh5KW1xYtX4vqfdh2EfbOMmOtOOuYnnZtIP84Wer2HbLubyZ11Jc5cS\nr3HjW2hkchgnVl7S4sTKS2nL4hKrBadbkLQS6EXE6nx/XW5oY2WbzwL/HhH/kO/vA66IiEMD+wpY\nX1lzZV7MbHbM5aVvA+HpFszTLViDuvRbgQtmXsDxHCleP5FUvH7ewDbXcqR4fSVjFK+bLUaXRnma\n0D9GqsdK//ZCI3Lj1rtNw5ARsIn+4uvqAh5xWfziESsvpS0NjVhBmm4BuJ30DcG7I+LTkm7MDW7K\n29wBrAZeAm6IiEeH7CfGac9sqepPRlv9AfHSf0zcE4Ra4hErK83iRqxam3ndzJYGJ1aWOLGy0njm\ndTMzM1uC/FuBZrZkeMTKEo9YWWk8YmVmZmbWKidWZmZmZjVxYmVmxng/Nm9m3dSlGisnVos0NzfX\ndhdqMyuxzEocMFuxlEDSccAdwPuA84E1ks5tt1fw8xOtuj2318U2u9Fer7e+5slBF8+J1SLN0gff\nrMQyK3HAbMVSiEuBAxHx3Yg4DDwAvL/lPtGVDy23V0p7bbQ56+1NzomVmRmcDjxVuf90XmdmNpET\n2u6AmVlJTj75t6bW1k9+sp+TTvqvmWjvxRfTv9Xnb5bi60J7bbTZlfbWrr0EgNtu+8/a2jp8+Bl+\n/OPJHzf1eaym1piZdUbX57Ea58fm83qfw8yWmE7/pI2ZWRdJOh7YD1wFPAs8AqyJiL2tdszMiuNL\ngWa25EXEK5JuArZw5MfmnVSZ2cQ8YmVmZmZWk6l9K7DUyfckLZe0TdJuSbskfSKvP1XSFkn7JX1N\n0ilt93Vcko6T9Kikzfl+kbFIOkXSFyXtza/PZSXGIunW3P/HJX1e0omlxCHpbkmHJD1eWTey7znW\nA/k1u7qdXk9O0pOSHpO0Q9IjDex/ouexwTbXS3o6nx8elbS6pramfh4d0uaf5vVNxfhaSd/K75Hd\nkv4yr28kxnnaayS+SrtT/fzI7e2otNd0fEcd65PGOJXESp2dfG8sLwNrI+J84J3Ax3Pf1wFbI+Jt\nwDbg1hb7OKmbgT2V+6XGcjvwlYg4D/gVYB+FxSJpBfAx4KKIuIB0eX4N5cRxD+m4rhrad0lvBz4E\nnAdcA9wpqdNF7RU/A66MiIsi4tIG9j/289hwmwC3RcTFefnXmtpq4zw62OZNlc+d2mOMiJ8C742I\ni4ALgF+TtIqGYpynPWjmNeyb9ufHzcDugXVNxjfsWJ8oxmmNWHV08r2FRcRzEbEz3/4RsBdYTur/\nvXmze4EPtNPDyUhaDlwLfK6yurhYJJ0MXB4R9wBExMsR8QLlxfIi8H/AGySdALwOOEghcUTEN4Dn\nB1aP6vt1wAP5tXoSOEA6N5RANHi+nPB5bLJNSLHWqo3z6Ig2+3OTNZLQR8T/5puvJb1fnqfZGIe1\nBw3FN+3PjxHtQUPxVfY9eKxPFOO0EquZmHxP0luBC4GHgWURcQjSAQyc1l7PJvLXwF8A1eK6EmM5\nC/iBpHvycPAmSa+nsFgi4nngr4D/ISVUL0TEVgqLY8BpI/o+eB44SDnngQC+Lmm7pI9Nqc1Rz2PT\nbpK0U9LnmrgE3cZ5tNLmt/KqRmLsX7YCngPmImIPDcY4oj1o7jWc9ufHsPag2fdo9Vj/aF43UYye\neX1Mkt4IfAm4Of/1M/hCd/5bAJJ+EziU/4qbL+PvfCykS2YXA38TERcDL5GGa4t6XSSdDfwZsAL4\nRdLI1YcpLI4FlNz3vlX5fXYt6TLWu1vowzSexzuBsyPiQtKH9W117ryN8+iQNhuLMSJ+li/NLQcu\nl3QlDcY40N57JF1BQ/FN+/NjnvYafY9y9LF+ORO+htNKrA4CZ1buL8/ripAv0XwJuD8iHsyrD0la\nlv//LcD32urfBFYB10l6Avh70jX5+4HnCozlaeCpiOhPs/uPpESrtNflEuCbEfHDiHgF+GfgXZQX\nR9Wovh8EzqhsV8x5ICKezf9+n/QaTeMS5tTfAxHx/TjyVfG7gF+ta99tnEeHtdlkjH0R8SLwFdLx\n3fjrmNv7MnBJg/FN+/NjWHv3Nf36DRzr/0I61id6DaeVWG0HzpG0QtKJwPXA5im1XYe/BfZExO2V\ndZuBP8y3/wB4cPBBXRMRn4yIMyPibNJrsC0iPgI8RHmxHAKekvTLedVVpALH0l6X/cBKSSflQu6r\nSIWhJcUhfv4vylF93wxcr/Stx7OAc0gTcXaapNfnUQ8kvQG4GvjvJppivOexsTbzh0bfB6k3zjbO\no0e12VSMkt7cvywl6XXAbwA7aCjGEe3tbCq+aX9+jGjv95t8j4441ncx6WsYEVNZgNWkD5EDwLpp\ntVtDv1cBrwA7SQfJozmWXwC25pi2AG9qu68TxnUFsDnfLjIW0jcBt+fX5p+AU0qMhVRDsBt4nFQY\n+ZpS4gD+DngG+CmpTuwG4NRRfSd9m+Y7pELiq9vu/5gxnlU5/nc1cf6a9HlssM378vtwJ+mv9WU1\ntTX18+g8bTYV4ztyGzuAx4A/z+sbiXGe9hqJb6DtqX5+DLTXWHyjjvVJY/QEoWZmZmY1cfG6mZmZ\nWU2cWJmZmZnVxImVmZmZWU2cWJmZmZnVxImVmZmZWU2cWJmZmZnVxImVmZmZWU2cWJmZmZnV5P8B\nzZHvjwTxR1sAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f89d56d90f0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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UItmSpTwcqa8s1X0mfuPntwBFg6Tddw/+5l8sX3ihtmWqp0oCgUKB5KmnVleW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\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f89d54f7cf8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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ILuvVK7g+za3RKUYg05jNN0/W+oX5Z7lo377hfOr17NKl+YHn3pHBw9q1C35H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\n/h+RG+0tPUt+/QAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f89d53b3da0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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YkraaT2eTpFJPxMVO5qWcwPOVnTkTtt8+fj2NIJN0nu3HPy6tnmguW5ojuZda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\nYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f89d52c5630>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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Hw5tvxt7uoIMSP6/Nt1p6LL8oeOyclYaUcsJCVaL3jVr2ZNT90cDoVLZNh5eY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\n+t577+moUaP0/PPPr1tvr7320q+++irhcRpTKkL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yyS6WL7983xTfO7L/deMY1vGZsIjY\nK+liYDX1BP/rImK9pIvqb8cK4JPAMcAXJQkYjYiJ8sbMzKzLyh98VY+Dr2rIlBMWEbfRcNfYiLgm\n9fx9wPuylGFmZmY2iHzbIjMzM7MCOAgzMxtwHiesfDxOWDX43pFmZgPOOWHl45ywavCZMDMzM7MC\nOAgzMzMzK4CDMDOzAeecsPJxTlg1OCfMzGzAOSesfJwTVg0+E2ZmZmZWAJ8JMzMzK9jWrU+ydu3a\njpc/5ZRTmDFjRhdrZHlwEGZmNuAG596Rg+pPuOWWm7n11g/sm/KRj7wVgCuv/I9DLr1nz9NccMFf\n8qUvXdWzGlpvOAgzMxtwDr763Zns3HngWbBabfzZZPpuBbt23dvlOlkenBNmZmZmVgAHYWZmZmYF\ncBBmZjbgPE5Y+bjPqsE5YWZmA845YeXjPqsGnwkzMzMzK0CmIEzSIkkbJD0saWmLef5F0iZJD0g6\nNUt5ZmZmZoOi4yBM0hTgauBNwKuAJZLmNsxzNvD7EfEHwEXAlzLU1czMOuD8ovJxn1VDlpyw+cCm\niHgMQNJKYDGwITXPYuCrABHxY0mzJB0XEdsylGtmZm1wflH5uM+qIcvlyNnAE6nXm5NpE82zpck8\nZmZmZpXjX0eamZlZaY2OjvLud3+ArVuf7ngdJ530cq699vNdrNXkZAnCtgAnpF7PSaY1znP8IebZ\nR6oBw8nfISCQSP2lh9N6ue4y1aFf6+U69He9JrPMCDDC/n3c8uJ7R5aP+2zyduzYwU03rWR09Osd\nr+P73z+3kCBMEdHZgtJUYCOwANgK3AMsiYj1qXneDHwwIt4i6XTgqog4vcX6otO6mFn5SCIidOg5\n+1+Rx6/du3czc+YxjI3tLqT8fI1vLv6sONAKTj75ahYuXNjxGhYvfisLFgx1r0o5euaZZzj++Lk8\n//wzGdYi2t2Hu3EM6/hMWETslXQxsJp6btl1EbFe0kX1t2NFRPynpDdL+jnwG+DCLJU1MzOzRu9g\n48bn2Lix0+D0QR566POlDcLKLFNOWETcBpzcMO2ahtcXZynDzMzMJnIU8LEMy9/M9u3/zB133NHx\nGubNm8ecOXMy1KGanJhvZlag5557jtNOO5Pt27d3tHzEb5k69WjGxlrP4/yi8sm3z17LI4/M5O1v\n/2xHS4+NPcu8ebNYu/a7Xa7X4Os4J6zbnBNmVi3OCat7/PHHmTv3dHbvvitDDWYBv5Nh+bJwTlh/\n+gGvfvU/8OCDPyik9ErmhJmZWXdMmTINeEXR1TCznPkG3mZmZmYFcBBmZjYBSYskbZD0sKSlRden\nE74PYfm4z6rBQViXjYyMFF2FrnFb+s+gtKMsJE0BrgbeBLwKWCJpbrG1amZkwndrteEeJnhPXHbv\nDWb5k+uz3pQ9ecWWPwjHQwdhXTYIG8U4t6X/DEo7SmQ+sCkiHouIUWAlsLjgOjUxUtGyq15+kWUX\nX/4gHA+dmG9m1tps4InU683UAzMzSxkd3cOTTz7Z8fKzZs1ixowZXaxROTgIMzMr0LRp09iz55fM\nnHlOx+t4/vmNHH74/7R8/6MffT0AV1xxb8dldFp2N+3cWf+b/l/lWX4zvSp/Mn3WL21/4YVH2bjx\nIWbPnp17HZYt2583l2Uf2rWrmHCor8YJK7oOZpavfh8nLLnnbS0iFiWvL6V+W7blDfP5+GVWQVmP\nYX0ThJmZ9RtJU4GNwAJgK3APsCQi1hdaMTMbCL4caWbWQkTslXQxsJr6D5mucwBmZt3iM2FmZmZm\nBSh8iIoyD4QoaY6k70n6qaQHJf1dMv1oSaslbZR0u6RZRdd1MiRNkXSfpFuT12VtxyxJ/yppfdI3\nf1zitlyWtGGdpG9Iml6Wtki6TtI2SetS01rWPWnrpqTfFhZT6wNN5vgkaUjS/ZIekrQmmdb02JBX\n+an3Dtin8yy/2X6YY9kH7TftlD2Z8iV9PCn7vqSPxyQdNdm696r8vLa9idqfvN/xtpfxf59pu+tC\n+e1texFR2IN6EPhz4ETgMOABYG6RdWqz/i8FTk2eH0k9d2QusBy4JJm+FPhM0XWdZHs+AnwduDV5\nXdZ2fAW4MHk+jfrdjUvXlmS/eASYnrz+NnBBWdoCvBE4FViXmta07sApwP1Jf708OS6o4Pof8viU\nbFs/BWYnr49N/jY9NuRVfur9A/bpPMtvsh/OzOl/32y/eXe3294w/1uBOztZtgfl57LttSo/67aX\ntews210X/vdtb3tFnwkryUCIzUXEUxHxQPJ8F7AemEO9DTcks90AnFtMDSdP0hzgzcC1qcllbMdM\n4E8j4nqAiBiLiB2UsC3ATuAFYIakacCLgC2UpC0RcRfwbMPkVnV/G7Ay6a9HgU0UPx7XZI5P5wM3\nRcQWgIh4Jvnb7NjQ7u/3Oy4fWu7TuZTfYj/cmUfZHLzfHAG0O4BVu59NS4BvdbhsV8vPcdtrWj5k\n3vY6LrsL212m8ulg2ys6CGs2EGL+A410gaSXU//WfzdwXERsg/oOAbykuJpN2pXAJ4B0kmAZ2/F7\nwDOSrk9OFa+QdAQlbEtEPAt8DnicevC1IyLupIRtSXlJi7o3Hgu2UPyxYDLHp1cCx0haI2mtpHc1\nriR1bPhxzuU326fzKr/ZfviiPMpust/8Otlv2jHpz6akXYuAm9pdtkflp997Ob3b9iYqP8u2l6Xs\nrNtdpvI72faKDsIGgqQjgRuBDyffPBo3vL7+9YOktwDbkm9PE4150tftSEwDXgd8ISJeB/wGuJSS\n9QmApFdQP6V/IvAy6t+u/oYStmUCZa477N/ezqZ+MP6kpJPG32xybMil/Cb7dK/GY2vV/sb98P+o\n74c9L7vJfnOkpPO7XHbaOcBdEfHrHpbRdvk5bHtNy89x2zuobPLZ7lqW38m2V3QQtgU4IfV6TjKt\nNJJTjjcCX4uIW5LJ2yQdl7z/UuDpouo3SWcAb5P0CPXTqmdJ+hrwVMnaAfVvLU9ExPgw0zdR3ynL\n1icArwd+GBHbI2IvcDPwBsrZlnGt6r4FOD41Xz8cCyZzfNoM3B4Rz0fEr4D/Bl4DLY8NeZXfuE+f\nKemrOZbfuB/eSH0/zKPsxv1mFfX9ph3tfDadR+pSXJvL9qL8vLa9VuVn3faylJ11u8tafvvbXjsJ\na91+AFPZnwA3nXoC3Lwi69RBG74KXNEwbTmwNHnet4nTLdrz5+xPzP9sGdsBfB94ZfJ8OOmP0vUJ\n9Q+UB4HDqX+b/ArwwTK1hXqS/YOp103rzv7E/OnULyn0Q2L+IY9P1H+Ic0cy7xFJf52SvHfQsSHP\n8lPz7Nunc27/QfthHmW32m+63fZkvlnAr4AXtbtsr8rPa9ubqPws214X2t7xdteFvm972+uog7r5\noH4aeSP1RNxLi65Pm3U/A9ibdNL9wH1Je44B7kzatRo4qui6ttGmdBBWynYkO8LapF9WJTtLWdvy\nCeq/AFtHPZH9sLK0Bfgm9aTUPdRzJC4Ejm5Vd+Cy5OC3HlhYdP2TOh10fAIuAt6fmufjqT76UDKt\n6bEhr/Ib1tFREJa1/Gb7YY5lH7Tf9KjtFwDfnMyyeZWf87bXtP1Zt72M//tM210Xym9r2/NgrWZm\nZmYFKDonzMzMzKySHISZmZmZFcBBmJmZmVkBHISZmZmZFcBBmJmZmVkBHISZmZmZFcBBmJmZoKCD\nYgAAABFJREFUmVkBHISZmZmZFeD/AQcdcjv+Qjb9AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f89d4e29be0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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MxZT388+zv7frroWnW0mlHIA0VVsmIlIKNdHHKsrdF5nZY8BO7h69Z+om4JHs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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f89d4d38358>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import pymc as pymc\n",
"\n",
"mub = pymc.Beta(\"mub\",alpha=1,beta=1)\n",
"mud = pymc.HalfNormal(\"mud\",tau=1/.5**2)\n",
"lambdab = pymc.Uniform(\"lambdab\",lower=5,upper=50)\n",
"lambdac = pymc.Uniform(\"lambdac\",lower=5,upper=50)\n",
"psi = pymc.Beta(\"psi\",alpha=5,beta=5)\n",
"\n",
"zi = pymc.Bernoulli(\"zi\",p=psi,size=p)\n",
"\n",
"@pymc.deterministic\n",
"def muc(mub=mub,mud=mud):\n",
" return pymc.invlogit(pymc.logit(mub)+mud)\n",
"\n",
"theta1 = pymc.Beta(\"theta1\",alpha=mub*lambdab,beta=(1-mub)*lambdab)\n",
"theta2 = pymc.Beta(\"theta2\",alpha=muc*lambdac,beta=(1-muc)*lambdac)\n",
"# theta = theta1*(zi==0)+theta2*(zi==1)\n",
"def thetafunc(theta1=theta1,theta2=theta2,zi=zi):\n",
" return theta1*(zi==0)+theta2*(zi==1)\n",
"theta = pymc.Deterministic(eval = thetafunc,\n",
" name = 'theta',\n",
" parents = {'theta1': theta1,\n",
" 'theta2': theta2,\n",
" 'zi': zi},\n",
" doc = 'Theta',\n",
" trace = False,\n",
" verbose = 0,\n",
" dtype=float,\n",
" plot=False)\n",
"\n",
"kij = pymc.Binomial(\"kij\",p=theta, n=n, value=k, observed = True)\n",
"\n",
"testmodel = pymc.Model([theta1,theta2,psi,zi,kij])\n",
"mcmc = pymc.MCMC(testmodel)\n",
"mcmc.sample(iter = 20000, burn = 50, thin = 2)\n",
"pymc.Matplot.plot(mcmc)\n",
"zi = mcmc.trace(\"zi\")[:]\n",
"print(zi[-1:])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Result as in the book"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.796610169492\n"
]
},
{
"data": {
"image/png": 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vZX52QB1wVNK15/D4bgL+Lbx/XDf7+Z0FnAIsbmP/RcCfw/vvAp5r7z3T0EKI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\nH2MWQtRoSHwtAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f89fc062828>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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AyjHHlGnn6h2AKM02W+k7v9FGcMYZcNhh1dQxbtw4xo0bN8v9GroASkSsD5yQ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\npD9XEDQ4S9Ig9uabcOut08L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"text/plain": [
"<matplotlib.figure.Figure at 0x7f89d50efeb8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"from scipy.stats.kde import gaussian_kde # for plotting: to calculate a continuous \n",
" # approximation of the posterior and prior densities. \n",
"burnin=3000\n",
"# pymc2\n",
"ztrace = mcmc.trace(\"zi\")[burnin:]\n",
"# pymc3\n",
"# ztrace = trace7['zi'][burnin:]\n",
"\n",
"print(np.mean(ztrace[-1:]==(t1==0)))\n",
"pc=np.mean(ztrace==(t1==0),axis=1)\n",
"\n",
"my_pdf = gaussian_kde(pc)\n",
"x=np.linspace(.4, 1, 100)\n",
"plt.plot(x,my_pdf(x),'r') # distribution function\n",
"plt.hist(pc, normed=1, alpha=.3)\n",
"plt.xlabel('Correct label')\n",
"plt.ylabel('Posterior Density')\n",
"plt.show()\n",
"\n",
"fig = plt.figure(figsize=(12, 6))\n",
"my_pdf = gaussian_kde(pc)\n",
"x=np.linspace(0.4, 1, 100)\n",
"tmp = np.zeros(n+1)\n",
"for i in range(n+1):\n",
" tmp[i] = np.mean((k>i)==(t1==1))\n",
"plt.plot(tmp)\n",
"pdfpc=my_pdf(x)/2\n",
"plt.plot(pdfpc,x,'r') \n",
"plt.fill_between(pdfpc,x,0,color='r')\n",
"plt.axis([0,41,.4,1])\n",
"plt.xlabel('Number of Items Recalled Correctly')\n",
"plt.ylabel('Proportion Correct')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# However, in pymc3 the same model did not return appropriate estimations:"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Applied logodds-transform to mub and added transformed mub_logodds to model.\n",
"Applied log-transform to mud and added transformed mud_log to model.\n",
"Applied interval-transform to lambdab and added transformed lambdab_interval to model.\n",
"Applied interval-transform to lambdac and added transformed lambdac_interval to model.\n",
"Applied logodds-transform to psi and added transformed psi_logodds to model.\n",
"Applied logodds-transform to theta1 and added transformed theta1_logodds to model.\n",
"Applied logodds-transform to theta2 and added transformed theta2_logodds to model.\n"
]
}
],
"source": [
"with pm.Model() as model7:\n",
" # prior\n",
" mub = pm.Beta(\"mub\",alpha=1,beta=1)\n",
" mud = pm.HalfNormal(\"mud\",tau=1/.5**2)\n",
" lambdab = pm.Uniform(\"lambdab\",lower=5,upper=50)\n",
" lambdac = pm.Uniform(\"lambdac\",lower=5,upper=50)\n",
" psi = pm.Beta(\"psi\",alpha=5,beta=5)\n",
" # psi = pm.Uniform(\"psi\",lower=0,upper=1)\n",
" zi = pm.Bernoulli(\"zi\",p=psi,shape=p)\n",
" \n",
" muc = pm.Deterministic(\"muc\",1/(1+T.exp(T.log(1/mub-1)-mud)))\n",
" theta1 = pm.Beta(\"theta1\",alpha=mub*lambdab,beta=(1-mub)*lambdab)\n",
" theta2 = pm.Beta(\"theta2\",alpha=muc*lambdac,beta=(1-muc)*lambdac)\n",
" \n",
" theta = pm.Deterministic(\"theta\",theta1*(T.eq(zi,0))+theta2*(T.eq(zi,1)))\n",
" # theta = theta1*(T.eq(zi,0))+theta2*(T.eq(zi,1))\n",
" # observed\n",
" kij = pm.Binomial(\"kij\",p=theta, n=n, observed = k)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" [-----------------100%-----------------] 10000 of 10000 complete in 9.8 sec"
]
},
{
"data": {
"image/png": 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Bli9PNRqzjfPye9mXLnWegyDp18/USPR1DPLeeyk5faPOPz9br/ykSaksdcuX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\nSmHXrqkJq8H9RikeZ5/tluHD0929os49/nin0IBze4xSOA87LKUM+w1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ymxV3Gr5tqro9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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x115437160>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# This model in pymc3 does not perform well\n",
"\n",
"# I tried different sampling method but the result is the same\n",
"with model7:\n",
" start = pm.find_MAP()\n",
" start['zi']=np.random.binomial(1,.5,p)\n",
" \n",
"# step1 = pm.Metropolis(zi)\n",
"# step2 = pm.NUTS()\n",
"# trace7=pm.sample(1e4, start = start, step = [step1,step2], model=model7)\n",
" \n",
" step = pm.Metropolis()\n",
" trace7=pm.sample(1e4, start = start, step = step, model=model7)\n",
" \n",
" # step1=pm.NUTS(psi)\n",
" # step2=pm.Metropolis([theta1,theta2])\n",
" # trace7=pm.sample(1e4, step=[step1,step2], model=model7)\n",
" \n",
"burnin=0\n",
"pm.traceplot(trace7[burnin:],varnames=['psi','theta1','theta2']);\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# The problem seems to be that: the grouping variable vector \"zi\" was not updated in the sampling"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"zi [1 0 1 0 0 1 0 0 1 0 1 0 1 0 1 1 0 0 1 1 0 1 0 0 0 1 1 0 0 1 1 0 0 1 0 0 0\n",
" 1 0 1 0 0 1 1 0 1 0 1 0 0 1 1 0 0 0 1 1 1 1 1 1 1 1 0 1 0 0 0 0 1 1 1 1 0\n",
" 1 0 0 0 1 1 1 1 0 1 0 1 1 0 0 1 0 1 0 0 1 1 0 1 1 0 1 1 0 1 0 1 0 1 0 1 1\n",
" 1 0 0 1 1 0 0]\n",
"zi ModeResult(mode=array([[1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1,\n",
" 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1,\n",
" 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0,\n",
" 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0,\n",
" 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1,\n",
" 1, 1, 0, 0, 1, 1, 0, 0]]), count=array([[10000, 10000, 10000, 10000, 7729, 10000, 10000, 10000, 10000,\n",
" 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000,\n",
" 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000,\n",
" 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000,\n",
" 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000,\n",
" 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000,\n",
" 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000,\n",
" 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000,\n",
" 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000,\n",
" 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000,\n",
" 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000,\n",
" 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000,\n",
" 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000,\n",
" 10000]]))\n",
"0.576271186441\n"
]
}
],
"source": [
"ztrace = trace7['zi'][burnin:]\n",
"print('zi',ztrace[-1,:])\n",
"print('zi',stats.mode(ztrace[:],axis=0))\n",
"\n",
"print(np.mean(ztrace[-1:]==(t1==1)))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# As shown above, the stochasitc variable \"zi\" stuck in the initial value and never being update"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
" \n",
" \n",
" \n",
" \n",
"## 2016-02-16 update: This problem has been fixed in the new pymc3 branch. \n",
"ref: https://github.com/pymc-devs/pymc3/issues/981"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Assigned NUTS to mub_logodds\n",
"Assigned NUTS to mud_log\n",
"Assigned NUTS to lambdab_interval\n",
"Assigned NUTS to lambdac_interval\n",
"Assigned NUTS to psi_logodds\n",
"Assigned BinaryGibbsMetropolis to zi\n",
"Assigned NUTS to theta1_logodds\n",
"Assigned NUTS to theta2_logodds\n",
" [-----------------100%-----------------] 10000 of 10000 complete in 1114.5 sec"
]
},
{
"data": {
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hZo9xzBFLjRpZTGkNEkch9N9zxUxW495LYSMYwfoo5sP3wQcudUBUzq5SIjwG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7s9JU379s3jw0491RgWuVwW/b3Z7dplj2MLaoydfnrT+REjzGfr1sExd127mgbfnnsa+YppwOUb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\nREREJEX/D/5UWz2wZmm1AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f899aa78da0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"zi [0 0 1 1 0 0 1 0 0 0 1 0 1 1 0 1 1 0 1 1 1 0 1 0 1 1 1 0 1 0 1 0 1 0 0 1 1\n",
" 1 1 1 1 1 0 1 0 1 1 1 1 1 0 0 1 0 1 0 0 1 1 0 1 0 0 0 1 1 0 1 1 0 1 0 1 1\n",
" 1 0 0 1 1 0 0 1 1 1 0 0 0 1 0 1 0 1 1 1 0 1 1 1 0 1 0 1 0 1 0 1 0 1 1 1 1\n",
" 1 0 1 1 1 0 0]\n",
"zi ModeResult(mode=array([[0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0,\n",
" 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1,\n",
" 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1,\n",
" 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1,\n",
" 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1,\n",
" 0, 1, 0, 1, 1, 1, 0, 0]]), count=array([[ 9999, 9999, 10000, 7476, 9998, 9999, 9929, 8951, 9995,\n",
" 9796, 10000, 9999, 10000, 10000, 9999, 10000, 7414, 9994,\n",
" 10000, 9991, 6237, 9973, 9988, 9798, 10000, 7470, 9998,\n",
" 9999, 9999, 9999, 9482, 9999, 9997, 9999, 9800, 9991,\n",
" 10000, 7484, 6218, 10000, 9942, 9457, 9999, 9991, 9999,\n",
" 10000, 10000, 9992, 9927, 7518, 9812, 8955, 7521, 9967,\n",
" 10000, 9999, 6235, 10000, 10000, 9999, 10000, 9999, 9999,\n",
" 8964, 9990, 10000, 9999, 7472, 10000, 9999, 9472, 8947,\n",
" 10000, 9908, 10000, 9995, 9961, 9473, 10000, 9998, 9999,\n",
" 10000, 8953, 10000, 9999, 9970, 10000, 9991, 9999, 10000,\n",
" 9963, 6217, 9916, 6222, 9999, 9999, 7533, 10000, 9999,\n",
" 10000, 9999, 9999, 9999, 9990, 8953, 10000, 9999, 10000,\n",
" 7519, 9999, 9811, 9982, 9999, 7470, 9916, 9915, 9999,\n",
" 9999]]))\n",
"0.745762711864\n"
]
}
],
"source": [
"with model7:\n",
" start = pm.find_MAP()\n",
" start['zi']=np.random.binomial(1,.5,p)\n",
" # start['zi']=np.zeros(p)\n",
"# step1 = pm.Metropolis(zi)\n",
"# step2 = pm.NUTS()\n",
"# trace7=pm.sample(1e4, start = start, step = [step1,step2], model=model7)\n",
" \n",
" # step1 = pm.Metropolis(gibbs='random')\n",
" # step2 = pm.NUTS()\n",
" # trace7=pm.sample(1e4, start = start, step = [step1], model=model7)\n",
" trace7 = pm.sample(1e4, start=start)\n",
" \n",
" # step1=pm.NUTS(psi)\n",
" # step2=pm.Metropolis([theta1,theta2])\n",
" # trace7=pm.sample(1e4, step=[step1,step2], model=model7)\n",
" \n",
"pm.traceplot(trace7[burnin:],varnames=['psi','theta1','theta2']);\n",
"plt.show()\n",
"\n",
"burnin=0\n",
"ztrace = trace7['zi'][:]\n",
"print('zi',ztrace[-1,:])\n",
"print('zi',stats.mode(ztrace[:],axis=0))\n",
"\n",
"print(np.mean(ztrace[-1:]==(t1==1)))"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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fsdsj4k8KEauNzH2yisN9sgrPfbKqymeG+SyA1+ayEUkXAJ8lac1xQ0R8Ksty\nZwC/AN4REf85yljNCqw8LpzNJoJcmwt+ZLjPI+Ifx7j/DwNrgCnp9NXA3RHx95KuAq4BrpZ0EknN\n2TJgAXC3pOMiIoAvAu+LiFWSbpd0fkTcMcZ4zMysiuTjJmF6Q/DzwHnA88AqSbdGxFNDLPdJoAh5\n0PD3ZAt5KT24JiO3+8PlcHH/UgyHIk7v1he8G1DZjC449nv5AzWWQ9b6jbtp2ZHrj3zY46xBLcDo\ngiXcTbLeaGufxrijzLqlYv+yx38GF0+uDyM+HfgjYH76+kNgBTA5fY2apAXAm4CvZMx+K3Bj+v5G\n4KL0/YXAzRHRGxEbgfXASklzgckRsSpd7qaMdazIXItVHO6TVXiuxao+kpokfUTSf0r6rqQ/kdSU\n4+orgfUR8WxE9AA3k+RXg/0x8B3ghWFjGVXkhd2KmRVWeTeUHRv/9clNrn2yFgArImIvgKSPAz+I\niN8bx77/CfgzoC1j3pyIaAeIiG2SZqfz5wMPZCy3JZ3XC2zOmL85nW9mZpbpJmAv8C/p9LuAr5M8\nkmQk84FNGdObSQpeh0iaB1wUEedKOuyzUiqXfhVmOavw0QU98EV+Vf3ogsAcILMjSHc6b0wkvRlo\nj4jVks4ZZtG8fsPfuv8BprW2ADCpvoF506cdqn3ZsK0dwNPjmH5+5y5eddKJZRNPNU5D0idr+9Zk\neqDGxdP5nd7wxFraZkwvm3iqYbpjx056enoA2L93LyXwWxFxUsb0jyWtyeP2PwtclTGdNf/f9JOt\nHOiqo3bDXibPbMu2mOVdkS8ay/0KMJ9cmLcK0blpN51bOoDgnj2FzYtyLWTdBDwk6Xvp9EW81Kxv\nLM4GLpT0JmASMFnS14FtkuZERHvaFHCgycUWYGHG+gvSednmD+kdZ5+VNaDBTd087elynL5/7ePA\nkc3ZPJ3f6cwCVjnEUw3TmfP6+/vZsmEjRfZrSWdGxIMAkl5BMvBSLrYAizKmh8prTgduliRgJvBG\nST0RcdvgjS18zVHs2DOJxmVLmdneCet2jvpgCiLH6+SxjS5YWarviPKnMBVNRw6bV/DRBavQ4bVP\npU+ffJwrw40uOBbNC6fSvGga0M95m3u5d82+cW4xu5z6ZEXE3wLvAXalr/dExN+NdacRcW1ELIqI\no4FLgHsj4veB/+alh0NeBtyavr8NuERSg6SlwLHAQxGxDeiQtDLN2C7NWMeKzH2yisN9sgrPfbKq\n0suBX0jnfNykAAAgAElEQVTaKGkjSRP0MyQ9LumxEdZdBRwrabGkBpJ867DCU0Qcnb6WkvTL+sBQ\nBaxc5WtI8XJp8pPVCOGNLf5s6+S3dFDmKTt+o0muGG0BaXxyPy1G951X/XdaBE7Dl4zmgcLNwJ6I\n+KqkWZKWRsQzeY7nk8Atkt4LPEv6LK6IWCPpFpKRCHtIMq+B7/FKDh/C/Ud5jsnMzCrfBWNdMSL6\nJH0QuJOXhnBfK+mK5OO4fvAqI2zx0LuSFoIqurrGl3JmVt5yHcL9YyRNIU4AvgrUA/9O0uxvXCLi\nJ8BP0vc7gddlWe464Loh5j8MnDLeOGz8/Jys4vBzsgrPz8mqPhHxbPosxoVk5H25Pow4vYF3wqB5\nX8qy7HvHEapZ0VR0ObsISlqUL/da6CIZbuCLcpdrTdb/Ak4Dfg0QEc9LGtPQ7WZmZsUm6RMkzdE3\n8NK1U84PIzYzMxuNXAtZ3RERSnqfIamlgDFZhXItVnG4T1bhuRarKl0MHBMRrgouCt+FrwSj+pbK\nqEJh8GCGR4RW5FjztrusG4qXPp9gP63BA19UklwfRnyLpC8BUyW9H7gb+HLhwjIzM8urJ4GppQ5i\nIvMzuyrVBLuqz1DSM3ao38vE/SoqUk41WRHxaUmvB/aQtEn/q4i4q6CRWcVxn6zicJ+swnOfrKp0\nHbBa0uNA18DMiLiwdCGZFct4igvlVzge3F3piLJHkQsjI+4u13gqsBBVxYc2biMWsiTVAndHxLmA\nC1ZmZlaJbiQZwfZxoL/EsRwmJuTlh5WD8is+mR2uqge+SIeu7ZfUFhEdxQjKKpNrsYrDfbIKz7VY\nVWl/RPxzqYMwKw0X5Mci11QbsRgwlnJChYwuWLlFoMLLdeCLfcDjku4C9g/MjIgPFSQqMzOz/PqZ\npOtIHiKc2VwwpyHcbfzK/sHIZmZ5lGsh6z/Tl1lW7pNVHO6TVXjuk1WVTkv/PzNjXuUN4a7D/iue\nPJSPRhr4YrzHNN4QfUc+m1xStrQF6GyjCxZrYLq8tWgr2kk4/h3l4xvPJQop0FBL5ngIA3GW4vc9\nbCFL0qKIeC4ibixWQGZmZvmW9isuQ5H/zL+UNUbF2nWB9qOqbVaXnGWjHeCx0msfcz7cYQ4zL0lQ\nwGQsWpelLCdPZPw7VhV+mmU1Uk3WfwErACR9NyLeVviQCqe/v7fUIVS1pbNnOI0LrB/3ySoG12JV\nJ0lvBk4GmgbmRcTflC6iNIZSB2CjMnyN3KBvc7SFmlFHM771qonToIj8RysnIxWyMs/ZowsZSDHs\niZ2lDsFsXPpresm9la+ZDZD0r0AzcC7wFeB/Aw+VNKjUQEYrX7hYFj41LDHxzoRqHl0wsryvSLXT\nJpU6hKq2cct2lsyfWeowqlrUuE9WMbhPVlV6ZUScKumxiPhrSZ8BfljqoMzMrDrVjPD5yyTtkbQX\nODV9v0fSXkl7xrpTSQsk3SvpSUmPS/pQOn+apDslrZN0h6S2jHWukbRe0lpJb8iYv0LSY5J+I+mz\nI+zYr0K+KIMYqv1lZmN1IP2/U9I8oAc4KteVJV0g6ak0r7lqiM/fJenR9PVzSafkKW4zM6tAwxay\nIqI2IqZExOSIqEvfD0xPGcd+e4GPRMTJwFnAlZJOBK4mefDxCcC9wDUAkk4CLgaWAW8EviAduuL8\nIvC+iDgeOF7S+eOIy8ZhyQLXYhWD+2QVnmuxqtL3JU0F/gH4NbAR+I9cVpRUA3weOJ+kT9c70zwr\n09PAqyPiZcD/Bb6ca2ADzUQquFVM0U20pBp8vH6AdfFV+jmXDC5ReeeNKrgd9Ug1WQUREdsiYnX6\nfh+wFlgAvBW4MV3sRuCi9P2FwM0R0RsRG4H1wEpJc4HJEbEqXe6mjHXMzMwAiIhPRMTuiPgusBg4\nMSL+KsfVVwLrI+LZiOgBbibJrzK3/2BEdKSTDwLz8xW7ZRjH9Va+C7EuFNtovXTKVG7BYfQm0rEe\nriSFrEySlgDLSTKlORHRDklBDJidLjYf2JSx2pZ03nxgc8b8zThjK5mNm7eXOoQJwX2yCm/71vZS\nh2B5IumM9IbcwPSlwC3AJyRNz3Ezg/OgkfKa/48x9Peq4Bu2xTOOgk0lp28Fh255VYlnwvjuRlTz\nwBcFJakV+A7w4YjYpyPrBPN6Nt1616+ZOqUZgMaGeubOajvUxG2ggODpsU9ve7GjrOKpxukBA4WA\ngWZtns7vdMeOnWUVTzVMd+zYSU9PDwD79+6liL4EvA5A0quBTwJ/THJz73qSUQbzRtK5wHuA3862\nzKafbOVAVz21G/YyZeZ4Wt6bWbGUVfGmrIKpLJ2bdtO5pQMI7tlT2LyoZIUsSXUkBayvR8St6ex2\nSXMioj298/hCOn8LsDBj9QXpvGzzh/TW16/IGs/g/kSeHv105rxyiKcapx9anfTJGtxnyNP5nT7m\nt5aVVTzVMJ05r7+/ny0bNlIktRGHnt/xDuD6tMngdyWtznEbW4BFGdND5jWSTiUpuF0QEbuybWzh\na45ix55mGpctZea2ffAbP17EzKwYmhdOpXnRNKCf8zb3cu+afQXbVymbC/4bsCYiPpcx7zbg8vT9\nZcCtGfMvkdQgaSlwLPBQ2qSwQ9LKdCCMSzPWMTMzq01v6gGcRzKo0oBcbzSuAo6VtFhSA3AJSb50\niKRFwHeB34+IDeOMuSRGapQzmkY7JWvgc2jHvtVfOk77gqvcFnSjlm3gi0pIgpLUZEk6G3g38Lik\nR0h+kdcCnwJukfRe4FmSEQWJiDWSbgHWkAy7+4GIGEj1K4GvAU3A7RHxo2Iei71k4+btHmGwCNwn\nq/D8nKyq8k3gJ5K2kwzj/jMASccCHcOtOCAi+iR9ELiT5ObkDRGxVtIVycdxPfCXwHReGv22JyJW\nDrU9qX+8x5RcYcTEvJgd/cXV6NIphnpchka9mVHIfkQ5H2s+YsthZ5VwYVsoYz/2AqTaYd/30NuP\nwZ8U48sr0D6iQs+8khSyIuJ+oDbLx6/Lss51wHVDzH8Y8PNIzMzsCBHxt5LuIXkm1p0ZN+hqSPpm\n5bqdHwEnDJr3pYz37wfeP/6Ih9j3WK4vyu25evkK54grx1GsOsx6h5dR8p92JSsOj+NQjoi5zE6p\nnFVi3HmIObdNFP7M1MCf3DGOPHP4wBf5O6GLcVqUdOALqy6uxSoOPyer8FyLVV0i4sEh5v2mFLEU\n28Ss6zLLj7Hd4Mh7GGOS7bc/ZE1tUeRjv5X1F63kQ7ibmZmZmZlVExeyLG/8nKzicJ+swvNzsszM\nrJKVSYXahOZClpmZWZUa7kKrIBdh+RjUo+pVVpOniWKo38OYuhGVydebLQyVbMCcse032+iClcB9\nsixv3CerOOobG+jvr9w/OpVg+pzZTuMCCl+H2zj5Lr2ZlTsXsswqUI0vMayC9ZXLrd4JYLiUruRv\noZJjdxGxclTywBfZVNrAFzGmL6E8uLmg5Y37ZBWH+2QV3vZt7pNlBVTZJYSyULmXXeATIH8mWkpO\ntOOtdC5kmZmZmZmZ5ZELWZY37pNVHH5OVuHNnOvnZJnll+/Bv2RwPVySNiUbj8DGrwwHZxhyII+i\nRzF+lTzwhQtZZmZmxaQh345rO8VcXdVaYCraYQ3eUfpNSGMuaRV3xLjxj1l5xFJDrpbDtkrWv6ia\njPHcyWm1/H8/Yz3XS3GmuJBleeM+WcXhPlmF5z5ZVnqVX5DJ7QhGWqrM0iEznDxc4B95dIW5FBxP\nKo68rvIadeG/8ezRjnnfoxycIZelM29mlNmvABgmprHfKxh6P9nSVke8KTtVUciSdIGkpyT9RtJV\npY5notr2YkepQ5gQ+np6Sh1C1evYubPUIViZySWfkfTPktZLWi1pebFjrAabdnaWOoSytfMZp81w\ndj+/p9QhlK39m3aXOoQJqeILWZJqgM8D5wMnA++UdGJpo5qYurp98V8M4Yb7Bdfjc9ky5JLPSHoj\ncExEHAdcAfxr0QOtApt3Hih1CGVrlwtZw9q9dW+pQyhbnZt8E7wUquE5WSuB9RHxLICkm4G3Ak8N\nXrC382CRQ5tY+nt6ncaF1g8QdPfvK3UkVa0vup3GBRRl2fhlWLnkM28FbgKIiF9KapM0JyLc9tTM\nbAKqhkLWfGBTxvRmkgzxCM9u3DTUbMuTLdu28+zGxlKHUdVqEH19fUxqLt82yNWg+2Cn07iAoozb\n0GeRSz4zeJkt6bwjClnHd8xlUXc9ve1NzNvbR2vPVBbsb6S+V/T0JKOHTq+bRkO00NA/lZNfaKC7\nH6Z3LAXBzKhhVm8tdXWTaN53NEmKitaeempraug7sISe3a0s6OqBnhk0dLcCMKO7gZb+RQCc3j2D\n5u4+5jbUsnzfJNjWTPPuBfT01NPSf3gheFKtWLqjhRnRx6QDrczr62Rq40xedmAqAAd2JP1El3bV\nMLfuKHa0tzCzu4HejmbobaSlfxHzept4+d4Gevu6mXRgCgc6+pOuFP1i+t65AMyq6WFP3W7md8xl\nX20TR/dBw67JtHYsZtKUfur3NdG6axGNDY3M7JnOgm1T6Wlspaulick7FzOtawp99Q007Z3HvPp6\nAJYfbGNOfdBEGwf2NbBi0hRm1Dagvlbq6GPh9um09Hcw9WA9x73QRFv3fI7ZOpOFTTVM3rkUSMKc\n3F1LL2LK3vlM7e1iwf4mmvcvomZ7LW3RhxDTuxs4oAZQP3X7GujtC2oP1rOgS0zuXMKpDZOJ7jpQ\nMK++hob+PugP5rdPZXp3A10v1jKvq5+jGqZR3z+Z+S+20VC/n6Nqg2V7pvDY/g5O3D8bQtS3i7k0\nJNsDZtfX0zapkfkvTj/0vbX0dzB9fwMLtjUzt1/U7+tnVm89cxtf+v297MA0IGja2ko/NbT0twBw\nXHcNs/fUMvPgVE7orGFazxyO3dvA9H0LmUIzK3YHkw62Jd//rn6m7lnC7J5a9EIrc+uDhs5JTN51\nNNMPNjGpO1ku0vO0ZWo9cw520do3iWYWMq+nntjWxvyaWubXz6Whpo+FO9poaWijV7XM7loMQHfn\nFGY29DOpayqTdjUD0NndSp8EiGf6m2jpn8XC9jZm9dbTuQvq6+azqEFM7aqh44VFBEF/1NLSP4kT\n99Szp7OWlv1HI8Schn3UqJG6rhZQ0Nov5h9soqGjEQGTenqZ29jF8Xtaqe2cxZyGAzT0TWfBtimE\nxP7+SdC7hObtjdTUiZa2gVQO6vc10rrzaGZ2N3Kgo5+mg21H/BVserGVeVHD3Ma9vLyjj5bu2TR0\nTWJe437O2FNDXWcT9Tu7aGIhADN76pnXVM9v9bSxt72JyTuXMH1/Ny39B5j/YltyM6u7lrkNdczp\nfYEFLyxmXuM+DvS2Mm1PLd11tdA3h8kHYG59Dfs6a5jUuJ8Tu1qZV9PC1J7ptNXVMP/FKUyih/ru\nBurSYsOC/k5m1jbT1djDSQfFrN1i0oHpLIhG2vbVou6lTOrbydEHa2g+OJXJDXW0bGugdfcx9NfU\nMKurgc59PUztDua3LGT/nlnU7u1Pb8AlKTO7t5bGzj4AWntEbY1o2l7LrF2Lmd44mRO6WqmrbaNr\nVy09B1rp7auhUf1M37OYad1t9NfW07xnHn3dk5nVCIubjqK1vo/lBw99Menfw62D/0TnjSq96ZGk\ntwHnR8QfpNO/B6yMiA8NWq6yD9TMrMpE1h7N5SWXfEbSfwPXRcQv0um7gT+PiF8P2pbzIjOzMlKo\nvKgaarK2AIsyphek8w5TKZm5mZmVnVzymS2Q3mLOvozzIjOzCaLiB74AVgHHSlosqQG4BLitxDGZ\nmVn1yCWfuQ24FEDSmcBu98cyM5u4Kr4mKyL6JH0QuJOk0HhDRKwtcVhmZlYlsuUzkq5IPo7rI+J2\nSW+S9D/AfuA9pYzZzMxKq+L7ZJmZmZmZmZWTamguOCRJ0yTdKWmdpDsktWVZbqOkRyU9IumhYsdZ\nifxQzsIbKY0lvUbSbkm/Tl9/UYo4K5mkGyS1S3psmGV8Ho/DSGk80c7jXP52VhtJCyTdK+lJSY9L\n+lA6P2seLema9He3VtIbMuavkPRYmn6fLcXxFIKkmvT8vy2ddtqk0kchfDs93iclvcLpk0iP9cn0\nuL4hqWEip81Q+U0+0yNN35vTdR6QlNlPd2gRUZUv4FMkIzsBXAV8MstyTwPTSh1vpbxICub/AywG\n6oHVwImDlnkj8IP0/SuAB0sddyW9ckzj1wC3lTrWSn4Bvw0sBx7L8rnP48Kn8YQ5j3P5XVfjC5gL\nLE/ftwLrgBOz5dHAScAjJN0ZlqRpNtDq5pfAGen720lGfCz5MeYhjf4P8O8DvwWnzWFp8zXgPen7\nOqDN6ROkf0eeBhrS6W8Bl03ktBkqv8lnegB/BHwhff8O4OaRYqramiySB0PemL6/Ebgoy3Kiimv0\nCuDQQzkjogcYeChnpsMeygm0SZpT3DArWi5pDFTew4bKSUT8HNg1zCI+j8cphzSGiXMe5/q7rioR\nsS0iVqfv9wFrSUZezJZHX0hy8dIbERuB9cBKSXOByRGxKl3uJrLn6xVD0gLgTcBXMmY7bQBJU4BX\nRcRXAdLj7sDpA7AH6AZaJNUBk0hGM52waZMlv8lnemRu6zvAeSPFVM2Fi9mRjuwUEduA2VmWC+Au\nSaskvb9o0VWuoR7KOX+EZbYMsYxll0saA5yVNmP7gaSTihPahOLzuDgmynmc6++6aklaQnKn+UFg\nTpY8Otvvbj5Jmg2olvT7J+DPSK5FBjhtEkuB7ZK+mjanvF5SM04fImIX8BngOZLj7IiIu3HaDJat\nLDCW9Di0TkT0AbslTWcYFT26oKS7gMw7yyL5QzVUu/5sI3ycHRFbJc0iKWytTUvDZuXsYWBRRHRK\neiPwX8DxJY7JbLR8Hk8QklpJ7v5+OCL26ciHMk+4UbgkvRloj4jVks4ZZtEJlzapOmAFcGVE/ErS\nPwFXc2R6TLj0kXQ0STPTxUAH8G1J78ZpM5J8pseIrTAquiYrIl4fEadmvE5J/78NaB9o2pNW/72Q\nZRtb0/9fBL5H0qTDssvbQzktqxHTOCL2RURn+v6HQP1Id1Rs1HweF9gEO49z+dtZldLmTN8Bvh4R\nt6azs+XR2X531fh7PBu4UNLTwDeB10r6OrDNaQMktQibIuJX6fR3SQpdPnfgdOD+iNiZ1qp8D3gl\nTpvB8pkehz6TVAtMiYidw+28ogtZI7gNuDx9fxlw6+AFJDWnd9eQ1AK8AXiiWAFWKD+Us/BGTOPM\nvkGSVpJ02Bz2x25DEtnvRvk8zo+saTzBzuNc/nZWq38D1kTE5zLmZcujbwMuSUfyWgocCzyUNvXp\nkLRSkkh+m0fk65UkIq6NiEURcTTJ+XBvRPw+8N9M8LQBSP/ebpI0ULt9HvAkPncgGUDmTElN6TGd\nB6zBaTM4v8lnetyWbgPg7cC9I0ZTyJE+SvkCpgN3k5yIdwJT0/lHAd9P3y8lGeHpEeBx4OpSx10J\nL+CCNF3XD6QZcAXwBxnLfJ5ktJZHgRWljrnSXiOlMXAlyQ2BR4BfAK8odcyV9gL+A3ge6CJp1/4e\nn8fFTeOJdh4P9buu9hdJbU1fRl776zQdhsyj03WuSX93a4E3ZMx/eZpXrwc+V+pjy3M6HRpp02lz\nWLq8jOQGxWrgP0lGF3T6JMf0ZySFzsdIBmSon8hpkyW/mZav9AAagVvS+Q8CS0aKyQ8jNjMzMzMz\ny6Nqbi5oZmZmZmZWdC5kmZmZmZmZ5ZELWWZmZmZmZnnkQpaZmZmZmVkeuZBlZmZmZmaWRy5kmZmZ\nmZmZ5ZELWWZmZmZmZnnkQpaZmZmZmVkeuZBlZmZmZmaWRy5kmZmZmZmZ5ZELWWZmZmZmZnnkQpZZ\nkUlaLKlfkn9/ZmZWEs6LzArLPyyzIpD0jKTXZsyKMW5n1JmipCslrZJ0UNK/jWW/ZmZW+ZwXmRVP\nXakDMJuANM51Y5Tb2AJ8AjgfmDSOfZuZWfVwXmRWQK7JMiswSTcBi4DvS9oDvD396PckPSvpBUnX\nZiwvSVdL+h9JL0q6WdLU9OOfpP/vlrRH0iskHS3pHknb0239u6QpA9uLiP+KiNuAnUU4XDMzK0PO\ni8yKy4UsswKLiEuB54A3R8QU4BaSu39nA8cBrwP+StIJ6SofAi4EXgXMA3YBX0g/e3X6/5SImBIR\nv0y39XfAXGAZsAD4eIEPy8zMKojzIrPiciHLrHgym1UE8PGI6I6Ix4BHgZeln10BfDQitkZED/A3\nwP9O275r8LYiYkNE3BMRvRGxA/gn4DWFPhgzM6tIzovMisB9ssxKpz3jfSfQmr5fDHxPUn86LaAH\nmMMQnZQlzQY+R3K3sRWoxc0xzMwsN86LzArANVlmxTGaEZyeA94YEdPT17SIaImIrVm283dAP3By\nREwFfo/xdWg2M7Pq5LzIrEhcyDIrjm3A0el7MXzG8yXg7yQtApA0S9KF6WcvkmRix2QsPxnYB+yV\nNB/4s8yNSaqV1ERyV7FOUqOk2vEekJmZVRznRWZF4kKWWXF8EvhLSTuBt3HkXcDM6c8BtwJ3SuoA\nfgGsBIiIA8DfAvdL2ilpJfDXwMuB3cB/A98dtO2/IGkCchXw7vT9R/N3aGZmViGcF5kViSLG9By6\nopO0ALiJpC1wP3B9RPyLpI8B7wdeSBe9NiJ+VKIwzcysgkm6APgsyU3IGyLiU4M+nwH8O3AUyR35\nz0TE13JZ18zMJo5KKmTNBeZGxGpJrcDDwFuBdwB7I+IfSxqgmZlVtHTUtN8A5wHPA6uASyLiqYxl\nPgY0RcQ1kmYC63jp5t+w65qZ2cRRMc0FI2JbRKxO3+8D1gLz04/dsdLMzMZrJbA+Ip5Nh6y+meRm\nXqZtJH1PSP/fERG9Oa5rZmYTRMUUsjJJWgIsB36ZzvqgpNWSviKprWSBmZlZJZsPbMqY3sxLN/MG\nfBk4WdLzJM8U+vAo1jUzswmi4p6TlTYV/A7w4YjYJ+kLwN9EREj6v8A/Au8bYr3KaBdpZjZBREQl\ntkK4Bng0Is6VdAxwl6RTc13ZeZGZWXkpVF5UUTVZkupIClhfj4hbASLixXipY9mXgTOyrR8Rfg3x\nuuyyy0oeQzm/nD5OG6dP/l9laguwKGN6QTov09nAtwEiYgPwDHBijuuSrudXltfHPvaxksdQri+n\njdPHaZP/VyFVVCEL+DdgTUR8bmBGOiDGgN8Fnih6VBVuyZIlpQ6hrDl9snPaDM/pU3FWAcdKWiyp\nAbgEuG3QMmuB1wFImgMcDzyd47pmZjZBVExzQUlnkzxX4XFJj5A8y+Fa4F2SlpOM7LQRuKJkQZqZ\nWcWKiD5JHwTu5KVh2NdKuiL5OK4HrgO+KulRkkGX/jwidgIMtW5JDsTMzEquYgpZEXE/yTNJBvMz\nscZp6tSppQ6hrDl9snPaDM/pU3kiec7iCYPmfSnj/XbgLbmua6NzzjnnlDqEsuW0GZ7TJzunTWlU\nTCHLCmf58uWlDqGslVP6PPooPPMMvPgiHDwIl18OkyePuFrBlFPalCOnj9no+GIwO6fN8Jw+2Tlt\nSqNiHkY8XpJiohyrVZ+uLvjTP4XvfQ9WrIBZs2D3bnjsMfjmN+H000sdodnoSCIqc3TBcXFeZGZW\nPgqZF7kmy6zMbdgAF18MS5bAE09AZgu0W26BN70JrroKPvIR0IS7ZDUzMzMrP5U2uqAVwH333Vfq\nEMpaKdPnwQfhla+E97wHvvOdwwtYkBS+HnoIvvY1+Pznix+fz53hOX3MzMwmJtdkmZWpX/wCLroo\nKUC96U3Zl1uyBG69Fc46C172Mnj1q4sVoZmZmZkNxX2yzMrQz38Ov/u78PWvw/nn57bOnXcmA2E8\n9BAsWFDQ8MzGzX2yzMys1AqZF7m5oFmZWb06KWB94xu5F7AA3vAG+NCH4G1vg+7uwsVnZmZmZsNz\nIcvcb2QExUyf55+HCy+E//f/4PWvH/36V10F06fDZz6T/9iG4nNneE4fMzOzicmFLLMysX8/vOUt\n8Ed/BG9/+9i2IcEXv5gUsjZsyG98ZmZmZpYb98kyKwP9/Ukzv6lT4d/+bfxDsX/603DHHUk/LQ/r\nbuXIfbLMzKzU3CfLrMr94z9Cezt86Uv5KRT9yZ/A9u1Jvy4zMzMzK66KKWRJWiDpXklPSnpc0ofS\n+dMk3SlpnaQ7JLWVOtZK434jwyt0+vzyl/AP/wDf/CY0NORnm3V1cP318Kd/Cjt25GebQ/G5Mzyn\nT+WRdIGkpyT9RtJVQ3z+p5IekfTrNC/qlTQ1/WyjpEfTzx8qfvRmZlYuKqaQBfQCH4mIk4GzgCsl\nnQhcDdwdEScA9wLXlDBGs1HZvRve+c6kBmvx4vxu+4wzkr5d116b3+2aVStJNcDngfOBk4F3pvnM\nIRHx6Yg4LSJWkOQ390XE7vTjfuCc9POVxYzdzMzKS8X2yZL0XySZ4eeB10REu6S5JBneiUMs73bw\nVlYi4OKLYe5c+Jd/Kcw+du+Gk06C730PXvGKwuzDbCwK2Q5e0iRgUUSsG+V6ZwIfi4g3ptNXAxER\nn8qy/DeAeyPihnT6GeD0iMhaf+y8yMysfLhP1iCSlgDLgQeBORHRDhAR24DZpYvMLHff+AY89VTS\nVLBQpk6Fv/97+MAHoK+vcPsxKxeS3gKsBn6UTi+XdFuOq88HNmVMb07nDbWfScAFwHczZgdwl6RV\nkt4/2tjNzKx61JU6gNGS1Ap8B/hwROyTNPiWYNZbhJdffjlLliwBYOrUqSxfvpxzzjkHeKnvxESc\nzuw3Ug7xlNt0IdLnO9+5jz/+Y7jnnnNoaips/O9+N3z60/fxkY/A5z6X3+0PzCun76ucpgfmlUs8\npZxevXo1u3cnreo2btxIAX0cWAncBxARqyUtLcB+3gL8PKOpIMDZEbFV0iySwtbaiPj5EQF+/OOH\n3p9zzjmH0snMzArrvvvuOyyPLqSKai4oqQ74PvDDiPhcOm8tSRv4geaCP46IZUOs6yYaWdx3333O\n5CWQ+NQAACAASURBVIeR7/SJSB44fNpp8Dd/k7fNDuvJJ+Gcc2D1apg/5H35sfG5MzynT3aFaqIh\n6cGIOFPSIxFxWjrvsYg4NYd1zwQ+HhEXpNNZmwtK+k/gloi4Ocu2PgbsjYh/HDTfeZGZWZkoaNP1\nSvpjL+kmYHtEfCRj3qeAnRHxqXQkqGkRcfUQ6zpjs7Jw003Jw4JXrcrfaIK5+Ou/hgcegB/+0M/O\nstIrYCHrBuAekkGR3gZ8CKiPiD/MYd1aYB1wHrAVeAh4Z0SsHbRcG/A0sCAiDqTzmoGatIVFC3An\n8NcRceegdZ0XmZmVCReyAElnAz8FHidpEhjAtSSZ4C3AQuBZ4OJBzTcG1nfGZiW3cyeceGLyoODT\nTivuvnt64JWvhPe9D/5wxMtNs8IqYCGrGfgo8AZAwB3AJyLiYI7rXwB8jqTP8g0R8UlJV5DUaF2f\nLnMZcH5EvCtjvaXA90jypjrgGxHxySG277zIzKxMuJCVB87YsnOTpuHlM33+4i9g2zb4ylfysrlR\nW7sWXvUqePBBOPbY8W/P587wnD7ZFTJjK2fOi8zK1w9+AKeeCgsXljoSK5ZC5kUVN/CFWaXasQO+\n+EV4+OHSxbBsGfzlX8Kll8LPfga1taWLxawQJP2YIQZAiojXliCcURkoe7k5r1lp7Nnz/7N35vFS\nVFfi/x42WWUTIbIqKrgjKu5K3CBGxV0xietPs5llJsloksloJqsTE+NkkomaZUyiuGEEFTcUVEQF\nlFVWhccOgmxP2d87vz9ulV1dXd1d/V53V/d75/v51Kdrr1OnbnXdc8+557qGUDOyjGJgnizDKBM/\n+IEztO67L1k56uvhjDPguuvgZksybSRECcMFjwsstsX1y9qrqv9W7Gs1hFzfohdfhFat4Kw85uCu\nXbDPPiUQzjCaOWPGuCiPE04o7XV27IB27Up7jaTZuhU6d05aivw0qXGyROSocl/TMJJm40ZnXP3w\nh0lLAi1awL33Oo/W1q1JS2MYxUVV3wlMb3iJkoYnLVccPvoINmzIvc/OnfDkk+WRxzCM0vDUU7B9\ne9JSlJYJE5xXsDmTxGDEfxCRaSLyNS9Dk5Ew5RovoFophn7uvhuuvBL69Wu8PMXguOPg/PPhZz9r\n3Hms7OTG9FN+RKRbYNpPREYAVfOtyRdwUV9fHjkMwygte/cmLUHpaQ73mIuy98lS1dNF5BDgRuAd\nEZkG/FVVXyq3LIZRDrZsgfvvh9mzk5YknZ//HI48Em65pThJMAyjQngH1ydLgL3AMuCmRCVKkJ07\nXUWnY8ekJTEMo1LYs8f9tm6drBx1da6O1L17snKUiiQ8WajqEuDfgduAM4H/FpGFInJpEvI0dyz7\nWW4aq5+//Q1GjKi8jrS9esF3v+umhmJlJzemn/Kjqgeq6kHe7yGqep6qTklarmLhe7p2xkpID6++\nCk8/XTp5Sskzz8DixW5e1fWXSYo1a+Dddws75q23XEbX5sTWralnVkyaYmhdkmkCnnvO9QFNmkWL\niieHbzhWEkn0yTpaRO4BFgBnAReq6mHe/D3llscwSokq/PGPlTsu1be/7SoOhVYeDKPSEJFLc01J\ny1dsfCOrtjb3fsFwnR07YOHC0slUbGprYf16N9/QCum6da6vW2NZuNBVCKMYMwZWrsxcv2wZvP9+\n469dDCZNgiVLSn+d+fNdBt1iGlq7d8O4cVBTU7xzBpk9G1avLs25c5GkkfXJJy6Tok99fXHk2bw5\n/Ty5zrlpU/F08MEH8MQTxTlXMUnCk/U74F3gGFX9uqq+C6Cqa3DeLaPMWL+R3DRGP6+/7n7POKM4\nshSbtm1dhsEHHmjY8VZ2cmP6KSsX5pguSFCuWPiGQNxKh6qr0DzzDKxdG++YpUth5syGyaeaus7O\nnclUSqHwPmmTJsFrrzX+usHnsm1bpldty5b05XJ3+K+vhw8/zL593TpYsaJ016+rc1kvfdasyb3/\npk3xhzPxGxKyeW+3b3fjWzWU+fOL0/hQTd62FoHa/9698Oij0c/jmWcKKzfPP+8SXvjk+j974QVX\nDuLw8cfwyCPZt1eq7pMwsj4PPKyqOwBEpIWItAdQ1b8nII9hlIz//V/nxarkcW9uvNH9wX7ySdKS\nGEbDUdUbckw3Ji1fPnbsKGz/9etdhQZS3qpp05wRNXNmtNeiMa3G69aB32Ywb152w2XRotxhO3V1\nKVleeCH/dYMVd4hvZNXXp3Qavu/JkzONokIIVujDlfMtW5wBNmlSw8+fjeefT7+X7dudPidMcIbC\nyy/nPr6Q79COHS4DXlzeeis66+X69SlvZJBly+J7u3yDQMTJFTYGNm9O98okxbhxqedTV+c8cODK\nQ5SBWOj7uGuXMzaKjf8cNm/O3FZbm95g4N9TLrZtS91bvvc1rIOdOzPfeV+OahyFKQkjayIQHB2g\nvbfOSAjrN5Kbhurnww9d3POXvlRceYpN795w2mnO0CoUKzu5Mf0kg4h8XkT+TUT+w5+SlqkQxowp\nrHLiV2I/+MCFpy1c6Crd+aitTRk9uVi9GqZPz78fuNDjbF6Mmhp47DEno2q8Vmw/pX2hYYNz56aM\nhLBxsXYtrFoVfdyqVdFp9LNdN+wZfO65eMc1hM2b05/XuHHO4Ni6NV5I5Pr1+YcI8Nm6tTDDP1sj\n3SuvuAmcUeiX60L0EnwX1q7NNM7yGY/bt7uGgSBLl5ZmCBP/vqZOhbFjU+uj+h0VooN161zDRjH6\nV9bXp+vUT8oVR56xY+M1dMQ1ssKMHw8TIyyCFnmslVxlYNWq5PpzJmFktVXVT21xb759AnIYRkn5\n61/h0kuha9ekJcnPLbe4DIiGUe2IyB+Bq4Bv4DIMXgH0T1SoGIRbiLNVePz1wfCYoNfK92rt2uU8\nW1GVD7/y/MwzzujJx5Il6ZXouJXDiRPTjT3/HLkMwJ07neEQTv3se9H8a+/albvilC8xyNy50etf\nf91VkMP41w3ee2PS6a9alenxmzEj5Z0Edw/hewzr3m/1j3rOtbWZul62LFqe995zSVIaSy6jfdw4\nJ08u43ryZJgzJ90A8vu1ZQuHzFbBrqtz07hxmc/77bezl4Fs7N3rykauPsyqTu9hI76xkSKTJrnx\nNotBnKQ5DUki4T+fPn1S6/IZR2Hq6qLle/tt91voO7d6daq8jRkD//xnYcc3liSMrE9EZKi/ICLH\nAXnbS0TkzyKyXkTmBNbdISKrRORdbxpZIpmbNNZvJDcN0U99vRt8+KtfLb48pWDkSPdRmDMn/75B\nrOzkxvSTCKeo6rXAZlX9MXAycGjcg0VkpJftdrGI3Bax/bsiMtP75swVkb0i0iXOsdnYtavw5Az5\nQq3q6pxny2fFilQFpbGJbvIZWX4FbcOG9Mqm37cjeHzYmFqzxt1b0AsQDB966y1XOc43IHMhoXGv\nv55eqY9rRGZLhBH3mkGD5733nDG7eXMqJCxoeGcLE/PvM+p+582LHjpENfMea2rSPZBROti+3T3D\nqOP9ZT8BSLZ+grt3uzBRv2Fg6lTnnfFD1daudbrw+/XU16cq3dm8j1FhbuAaEOI0IoAzEPx+hu+/\nH50V8r33YPny6Oful/n6+nQDpRIz3mVD1XmsX3vNJZHwQzDjvg9+403HjtGNEtmuCfnLnm+khj3F\nPtne99deS3+WfsNFQ/umFkoSRta3gcdF5HURmQI8Ctwa47i/AiMi1v9GVYd60/MR2w2j7Lz0EnTp\nAscfn7Qk8WjVCm66qeEJMAyjgvAb7baLyAHAHuAzcQ4UkRbA/+C+NUcAo0VkcHAfVb1bVY9V1aHA\n94HJqrolzrHZePPNzCx0wRbbZcvyh9blq8y88Ub8lvAdO1zYjk+2Cky2tObBimVQrmA/KN9oePxx\nV+nxPSC+YRG8/6CxsXp1uvEYB9XcLeCrVqUbBUGZ9+xJ7w8S3C9Otruo5+K3yr/zTspACOrGDwnz\nvQB79+YPE4uqzEfJt2qVe7bPPBN9nnA580OtamudR+iNN5yBFExCUEgCgzDLl7uykK1szpyZP4lG\nQxN6hPuKBfsZRhmJUR5Y/9q+ERB+3vkM8aeeSnmAdu+O7lsW1m1Ukge/L2BjByt///2Usen38cuX\nwXTPnnQPZvD/4q233D3u3p3a54UXUs/U/43rRc3X9y6q/1/U/1epMlWGKbuRparTgcHAV4GvAIep\nat4cM944J1HtFRWcUqA6sH4juWmIfv74R+fFquSEF2FuugkefriwLD1WdnJj+kmEZzzP0q9wmWxr\ngIdjHjsMWKKqy1V1D/AIMCrH/qMBP6Ar9rEbNqRXxqIy0QW3v/VW/pbXbGFaQQ9N3JClLVvcvgsX\nZnpQVqxIGTmLF7tKZPjacfrIhLPBbdzo7jnqPv0+PT7hvkIff+wMAHCVMN+I8dm1K7rP6bx5qfsL\nGjk7d6Yq3NOmpRskwcpgnOQZwf/TKVNcRXjp0tS65593+gvrTDW1LmhEzJjh7sf37vi/fuUyytsT\nLAO7djmZws/VL2/hfkp+pTaYoj6ceKKhBlY+amvze2ynTMn0ZG3YEJ08Iczu3dkTOcTxQO3a5YzO\n4Hhomzenl4t8DQI7dqQMzOnTU+/FmDHu3tavz0wQEzb2/P7fvtx+yGLwHqZNc+UomJwD4mUJ3bLF\nldGgd9lnwgTn9Qq+F6rp5X7HDleuHnvMlf1Nm6KNKr8s79nj9Jot8crq1annu3Kl89b670r4vwKi\n/4/KlUQjkcGIgROAo4GhuNa+axtxrltFZJaI/ElEOhdHPMNoOKtWuT+Q0aOTlqQw+vWD446r3oFL\nDQNAVX+iqltUdSyuL9ZgVY2b+KI3EBzxaJW3LgMRaQeMBPyqR+xjJ05MrwxHffCzhWM1hriZyfxK\nycyZ7v8gWBENJhDwW/snTkyv0AWNIL8Cns1z4lNfHz3WFORu+KmvdyFn/j4rV7qKXJTRqZq+fu7c\nVAU23FfJr3z6955P//kMy23bst9f1BhFjzySPhCzT02NC5X0w0vDLfv+sCHBfi3Zkpbs3JndQPbP\n74cbRoUd5qNQr0rYMFq+PPu+06c7IyTYQOHfy8SJMGtW9HFjxqR7zaIMB3DlNpiKPIpp09zvsmUp\nz8grr6Qb+XEaLbdudcazHzrr/65cGW00BJ9ZOInFu++6svPMM+nP/YMPnE62b0/3DAa9d1GZ/vxr\njB0b/S74RnnQg7RwYeb7PsUbDj6XJyroMVuxwv2PRPW9fO21VLhwnCQ/Ue/url3uf6LQLhKF0qq0\np89ERP4ODARmAX5RUeBvDTjdH4D/VFUVkZ8CvwFuyrbz9ddfz4ABAwDo0qULQ4YM+bSl2e870RyX\ng/1GKkGeSlsuVD9//jOcccZkZsyoDPkLWf7iF4fzj39Az57x9vfXVYr8lbbsr6sUeZJcnjVrFlu8\nJt6aEsZqeP12HwEeVdUPgBht2g3iQmCKqhacDPyJJ+7k7bddSHHv3sPp2HF4xj7LlsHgULDhhg3Z\ns8MVYoStXp1eUZswAT7zGVexGTUqM3QruBx1nU2bXGu237C0cCEce2xqe5zMXnv3Fh4GCK6iFBxj\nzE+pHlXEXn01s+9b3CyOjfHWqOYfxylKr34FNmqbXznO5rEJXi+bl9NPAjB6dKqCu36900mcpBDb\nt0ObNtm3R+kslzEabuDLFQa4bJm7r9atU+tqaqBTp+zH+IZz3L50+bIPZusjVijhsvr447n3F0n1\niwt7aIPnWr7cGTUjvWwFvid7xozo82Z7F8Lhtlu2QPfuuWUM4xtsUX3dfKKyCuZKGf/SS6nyFPzv\nGDMGTj7ZhWFDZvmfP38y8+dPLsvgxaJlTjwvIguAw7UBFxaR/sDTqnp0Idu87Q25ZLNg8uTJn1aG\njEwK0c/evTBggKu0HB1ZEiub2lro29fFZe+3X/79rezkxvSTHRFBVYseUOt9C67ypnpcv9/HVDVv\nzw0ROQm4U1VHesu3A6qqd0Xs+6R33kcKOVZE9OGHlb59s3s2fHyjZcwYN3B469bZ+0f06lWcAXBH\nj85tFHXpkj1MrkePlBGY7zxhTjst1dpdCMcfn6o0Hn104S3TrVunvHBnnJHesj96tOuXkmuQX59D\nDoEDDogOg7rkEhcWmC0l+mWXRXtUOnZs2LhIYd23aJHbmBw2LOWVKZROnbKXyVatUl4ZX6b+/aM9\nVMHnGIeWLV3luU2b9Ir4/vvnf15x3j2fyy5zv1u3phsBI0emZ4KMw1VXOaOnTRsXtjdiRLyx4sIM\nHOh0GE4ak42LLy5szLM4fO5zmUkoTjklOjNnYxgwIHf/qfbtGz8Q8TXXlOZbBAl4soB5QC8g5hj1\naQiBPlgi0ktV/c/Kpd65jQKxSmBuCtHPs8+6j0g1GljgPpjnn+9ip7/2tfz7W9nJjemn/KjqcuC/\ngP8SkUOAHwF3AS1jHD4dONgz1NYCV+P6XaXhhaafCXyh0GN94lby/LbBnTtzp14uhoEVh1z9kIJe\ntlKMQRRFsGLekNCfYNtr2JNWyIDFS5ZEDwAN+dNGZ0vsUKyBZ/N56+L0y8lGrqQIQSPA12W+JApx\n8Z9b2NMRxyCO++6BMySiKvGFGliQ8jod6uU6bWhKdpH4BhakQkiLSdTA18U2sCB/gorGGlilJgkj\naz9gvohMIxDGoaoX5TpIRB4GhgPdRWQFcAfwWREZgmutrAG+XCKZDSMW990HX/lK0lI0ji9+EX76\n03hGlmFUIiFvVh3wb3GOU9U6EbkVeBHXZ/nPqrpARL7sNqs/mtzFwAuquiPfsY25j+nTM7MOVgv5\n+rOESSrQJGiAhI2NbOmii40f1lQsGhJ2WWp8XWZLt15o/61ylZdSVOL9/kvhBCJxKbQBo9DhIeKQ\nK4zPSJFEuOCZUetVtQjD4OW8roULZsFCmnITVz+LF7uQl+XLoV270stVKvbsgd693Yd/4MDc+1rZ\nyY3pJzslDBd8G2gNPIYL51ua55Cy4ocLGukcdVThg8MahmE0llKGCyaRwv1VnNeptTc/HZdm1zCq\nmrvvdt6fajawwPVRuOoql87dMKqQa71xE39ZaQaWkR0zsAzDaGok4cm6GbgF6KaqA72Y+T+q6tkl\nvq55soySsXYtHHGE82bFSRhR6bz9Nlx7rcvUVU1jfRnVQ6k8WZWOebIMwzAqhyblyQK+DpwKbANQ\n1SXA/gnIYRhF49574QtfaBoGFrhsU1D8vgKGYRiGYRjNgSSMrF2q+mmXORFphRsny0iI4Jg+Rib5\n9LNtGzzwAHznO+WRpxyIwC23uEQeubCykxvTj2EYhmE0T5Iwsl4VkR8A7UTkXOBx4Ok8xxhGxXLf\nfW68C2+c6ybDddfB+PHZs0EZRiUiIu1F5Eci8oC3fIiIXJC0XIZhGEbzIok+WS2Am4DzcGNevQD8\nqdQdpqxPllEKdu2Cgw6CZ56BY49NWpri84UvuNDBb30raUmMpkYJsws+CryDS4BxpIi0B6aq6pBi\nX6shWJ8swzCMyqFJ9clS1XpVfUBVr1DVy715++IYVclf/gLHHNM0DSyAL38Z/vjH5MawMYwGMFBV\n/wvYA6Cq2wkMYm8YhmEY5aDsRpaILBORpeGp3HIYKazfSG6y6WfXLvjFL+COO8orTzk5/XTXPyvb\niPFWdnJj+kmE3SLSDq+vr4gMJDDwvWEYhmGUg1YJXPP4wHxb4AqgWwJyGEajePBBOPxwOPHEpCUp\nHSLOm3XffXDGGUlLYxixuAN4HugrIg/hstlen6hEJaZ9e9i+PWkpDMMwjCBl75MVKYTIO6p6XImv\nYVGJRtHYvRsOPRTGjIGTT05amtKyebPrd7ZoEexvgy0YRaKU42SJSHfgJFyY4FuqurEU12kIpeiT\nZUaWYRhGw2hSfbJEZGhgOl5EvkIyHjXDaDB//zscckjTN7AAunaFK66A//3fpCUxjOwEvy1Af2At\nsAbo561rstiA4eWhS5ekJUiGppY51ygPffrk3n7EEeWRI0mSSOH+68D0C+A44MoE5DA8rN9IbsL6\n2bsXfvazpt0XK8y//qszsnbsSF9vZSc3pp+y8usc090JylVyPvkkaQmaB83VmO3UKWkJGk6+ir5R\nOlq2zL198ODyyBHkssvKe70ksgt+NjCdq6o3q+qifMeJyJ9FZL2IzAms6yoiL4rIIhF5QUQ6l1Z6\nw4Ann4TeveG005KWpHwMHgzHHw//+EfSkhhGNKFvS3g6K+55RGSkiCwUkcUicluWfYaLyEwRmSci\nkwLra0RktrdtWjHuq6nQkAysZ59dfDkaQ9jIKoXRJQJHHVX88zaGtm2TlqDhfYL9Z1TuynWQffZp\n/DkOPrjx5yg3rSowRq3cDSVJhAv+a64px6F/BUaE1t0OTFTVQcArwPdLJXdTZvjw4UmLUNGE9fPb\n38K//EsysiTJd74Dv/kN1Nen1lnZyY3pp/yISFvve/KkiIwVkW+LSKxqojeO4//gvjVHAKNFZHBo\nn87A74ELVPVIXPImn3pguKoeq6rD4sp8ySVx94xPMSp2QY49FjrHaMbs3r041+vWLbk+oHErYgcd\nVPxrf/az0LNn8c/bGA44IGkJGl9hb9OmOHIkxTHHuN8TTkhWjkL4zGdyb8/1TLp1i/4Py+cdi8PF\nFzf+HHFJIlzweOCrQG9v+gowFOjkTZGo6hRgc2j1KOBBb/5BoIyqM5ojb78Na9fCqFFJS1J+hg+H\ndu3gueeSlsQwcvI3nIH0O5zBdATw95jHDgOWqOpyVd0DPIL7zgS5BhirqqsBQkk1hAZ8V9u2hY4d\nCz0qN91KkLM3Tu6ohng9jjyysGsNi22+NozPfz56vW98HXmk26dr1+JfO24lsrFGQ//+8fdt3z7e\nfoceGm+/QrwJl17qfluE3qpSe9ca6vGICk8shvfEP0e/fo07z9ChcNFFcMop6euL1TgSpLH/QQMH\nZq6LknPffQs7bzk9bEkYWX2Aoar6HVX9Dq5PVj9V/bGq/rjAc+2vqusBVHUdYLnPGoD1G8lNUD/3\n3APf/GZxWlOqDRHnzfr1r1PrrOzkxvSTCEeq6k2qOsmbbsYZWnHoDawMLK/y1gU5FOgmIpNEZLqI\nfCmwTYGXvPU3FyJ0scNYTjjBhfjm49xzs29r1y5V0RFJGT7hY448MpUcIVzR7h3SXrCS6BspUcZK\nsbxYhx2WvnzIIc5blItsBt6AAe5+jjrKVeziGh/FxA+7LCRZcpRBUkwDsV07+Nzn4Ljj4Kqrsu/n\ne0ILKestWrgyE/aitm1bfO9UMQy3qHsrRjkJG5mNOU+HDplGdpz+UbnKTC7jMqoByb+ffN6uIO3b\nR+uhEAOxdWs3XXRR/GMaQxIRkz2B3YHl3d66YpDzb+f6669ngPcl6NKlC0OGDPk0nMevDNmyLWdb\nXr8eXnxxOPffXxnyJLF85ZXDuf12uO++yQwaxKdUinyVtuxTKfIkuTxr1iy2bNkCQE1NDSXkXRE5\nSVXfAhCRE4EZRTx/K1z0xVlAB+BNEXlTVd8HTlXVtSLSA2dsLfCiMNJ45507WbbMzZ9wwnBgOF27\nQm0t7LcfbNzoKtMzZ+YWpF27zGQ0Ph06ZFZIDj4Ydu6EVatS68L7hPErVn37wurVTsZwpeaoo2DF\nCqipSQ91GzAg8/x+xatFC3evmzdDjx6p7aNHp+9/wgkwfXpuGXPRsqUL61u61C23bu10E0WrVi6x\nUevW0dsPPTTdiOzd2xkVjz6avt/Agc64e+aZzHMccwzMnp1dXpF0+Tp1cjr3GTTI7TN3bvpx++4L\n27ZFn/PMM+GFFzLXjxoF48ZllyUb/fvDxx/DRx+55T594mVebN8etm51zyQYdp4LETj11Gijsk+f\n1HPNRteu6eU9F23buvfDv24+Q/aww2DBgvzn7dsXNm2KJ0MUl1+eatiNa6CecQbMmQPeX+6nZHvf\nCzF2ojjuuEw9+8/4ggvg5Zdhw4bUNj8aaPhw2LPH3V/4PQrf6/nnw5o1LoywUyd3vvXrC/dMTZ48\nmcmTJ2e8Q6Wg7ONkicgPcdkE/+mtuhh4TFV/HuPY/sDTqnq0t7wAF/++XkR6AZNU9bAsx9o4WUaj\n+Ld/c38G99yTtCTJ8tvfwpQp8MQTSUtiVDOlGifL+y4MAlZ4q/oBi4C9gPrfjyzHngTcqaojveXb\nvWPuCuxzG9DWj7wQkT8Bz6nq2NC57gBqVfU3ofX64YfKxIluuWdPOOssVyFRdYbKtGnxjKwzzoDX\nXoveNno0fPCBO5fPEUc4D9GkSal1I0ZEV8DBGXEXXuiMvp493f9ffb2r5CxfDr16uURAo0c7I+uN\nN9z8mDHueL/P0tKlqfsZMMDd43HHOaNgyZL0Y8JG1vr18MorrkLtV+KGDUu/r1wccYQzQN580y1f\neWWqwrp6dbr+fAM3KE+QsGw+4X2PO84ZY++8A4sXpwylUaNSXo3XX4+u/I8Y4cKsgvrw508+OeUx\nfOIJ9zw6dnQGTy4jK+oZDxnijISw7Ecf7Srn4OQYONAZ58H9jjjC7eevO/HE1LOur3eV5RYt3Lz/\nvMEli5oyxYWqTZ3qPIodOzpjberUaNmDzysoQ5cuznsWXDdqlKt49+0L48e7BojgMxszxum/f39n\nHPXokV7x79rVGf3grllXFy0TpM4b1l/fvrByZfq644+HGYFmnqOOSjeSzz8fJkyIvk6PHnDOOalr\nXX55vG/v5Zc7w+6VV9LXX3VVytCqq4PHHkvdz8SJ6foA92zfftvNd+mSMtr22Qd27XLzXbu6/6Kw\nwX7BBanMlJMmwbp1rmGibdvMkF9VeOSR1HL37q7sTZuWei+vvjrT8Nq2zT3Txx/PrxP/Pn38+29S\n42Sp6s+AG3D9qzYDN8QxsDzEm3zGA9d789cBDWiTMYz8fPIJ/OUv8I1vJC1J8tx8s6uYLFyYtCSG\nEclI4EDgTG860Ft3AXBhnmOnAweLSH8RaQNcjfvOBBkHnCYiLUWkPXAisEBE2otIRwAR6QCcJ2hR\nVwAAIABJREFUB8yLukiwNdmfb9EiPQw5qk1wv/2ihc7mmQmeY9QoF9YXDsPr3Dm6T5RPy5Yp71Tr\n1qnO6P37u/lTT81+LGRveT/kkPTlfGMOnnRS6lzZznnccdHrBwxwRl7Hjg0P9R45Mv6+vnxheYIt\n7v6z8Z+Hnz0umxetTZv08ar84wu5n2CijrD+fYJjF40YkZnVbv/907Mfnnxy+nn9e/f38UNWW7Vy\nBsjnP58eqtaxo1vOZsAWgm9A5fLO9uiRqvgHw98OPjj1vM49103+PQRDFfP1nRTJ9Kx07OiMFZ/w\n+9a5c3qShzaBMMiG+AauvtqVo6gEKkHdxCk72ZK7HH10esKe4Hn9Mh18T/35M86I36fSf065nue+\n+6brOzymW66w43J0+0iiTxZAe2Cbqt4LrBKRA/MdICIPA1OBQ0VkhYjcAPwSOFdEFgFne8tGgYRD\nm4x0Jk+ezEMPucpEKbJJVRsdOsCtt8J//ZeVnXyYfsqPqi4HtgGdge7+5CWzWJ7n2DrgVuBF4D3g\nEVVdICJfFpFbvH0WAi8Ac4C3gPtVdT4u7H2KiMz01j+tqi9GXSdYactWgYiqXIWzbam6io6/PhjC\nG8bvz9CiRari26OHq2g0JmW438eqW7dUBTROFsJwOFa+/jCtWzvPGmQfHNc3NqOykg0e7LxyYRni\ncO65+fsw+ZW5rl3TvxNHHpmqVEddz+8f1qWL8z74FcuwDqOSAGQ7p49vAHXu7IxEv9J94omFh1j5\n1z/77Hh6O/BAZzj5RqN/TL4kBaeckl4xzlYRDocbNmQsr6FD4fDD3fwJJ6QSNey3n3uO/nPzy2aL\nFq4MnXde7vOOGuX2O+00p+vPfMY9h2AZb9PGvZMXXJB+7IAB6eU7yujO966En0+c9zEOwfe1X790\nOdq2TaXJP/10d19BgzSOcRqka9dUGHHc/pmdOmVmX/TDP8F53stN2ftkeSEUx+PCOf4KtAb+AeRs\nD1PVa7JsOqeoAhpGCFX4/e/hV79KWpLK4dZbXctfIa27hlEOROQnuAiHD0j101VcH6q8qOrzuO9T\ncN19oeW7CQ1wrKrLgCFx5TzzTBdCFuyPBKm+LQMHOmOhXz8XWrZ+fWZFpFs3V7nx1w8ZAovyjjqZ\n4pzQ1/PYY12I0XLPFD3ppPjn6tgxZcS0bev63qhmGpHBitrgwakKYK9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LU23MmjUraREK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6519zl1avpxGzemjJe4acWzlal589L7H/rPJ0guXfsex/D/xLZt0QZW1HAF69enJ//YsCHdAFZ1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\nI5gAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f8a1be769e8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pm.traceplot(trace7[burnin:],varnames=['zi','theta1','theta2']);\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"zi [0 0 1 1 0 0 1 0 0 0 1 0 1 1 0 1 1 0 1 1 1 0 1 0 1 1 1 0 1 0 1 0 1 0 0 1 1\n",
" 1 1 1 1 1 0 1 0 1 1 1 1 1 0 0 1 0 1 0 0 1 1 0 1 0 0 0 1 1 0 1 1 0 1 0 1 1\n",
" 1 0 0 1 1 0 0 1 1 1 0 0 0 1 0 1 0 1 1 1 0 1 1 1 0 1 0 1 0 1 0 1 0 1 1 1 1\n",
" 1 0 1 1 1 0 0]\n",
"zi ModeResult(mode=array([[0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0,\n",
" 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1,\n",
" 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1,\n",
" 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1,\n",
" 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1,\n",
" 0, 1, 0, 1, 1, 1, 0, 0]]), count=array([[ 9999, 9999, 10000, 7476, 9998, 9999, 9929, 8951, 9995,\n",
" 9796, 10000, 9999, 10000, 10000, 9999, 10000, 7414, 9994,\n",
" 10000, 9991, 6237, 9973, 9988, 9798, 10000, 7470, 9998,\n",
" 9999, 9999, 9999, 9482, 9999, 9997, 9999, 9800, 9991,\n",
" 10000, 7484, 6218, 10000, 9942, 9457, 9999, 9991, 9999,\n",
" 10000, 10000, 9992, 9927, 7518, 9812, 8955, 7521, 9967,\n",
" 10000, 9999, 6235, 10000, 10000, 9999, 10000, 9999, 9999,\n",
" 8964, 9990, 10000, 9999, 7472, 10000, 9999, 9472, 8947,\n",
" 10000, 9908, 10000, 9995, 9961, 9473, 10000, 9998, 9999,\n",
" 10000, 8953, 10000, 9999, 9970, 10000, 9991, 9999, 10000,\n",
" 9963, 6217, 9916, 6222, 9999, 9999, 7533, 10000, 9999,\n",
" 10000, 9999, 9999, 9999, 9990, 8953, 10000, 9999, 10000,\n",
" 7519, 9999, 9811, 9982, 9999, 7470, 9916, 9915, 9999,\n",
" 9999]]))\n",
"0.745762711864\n"
]
},
{
"data": {
"image/png": 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DzJ99W30JCVMgiOTb7bez9rz3ajG7Xjgw62zqzv4Ap9zxxdClFDUFgkg+Pfww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\niMQUCCIiAsD/B0w0o1Mo+zqtAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f89d50fc518>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"burnin=0\n",
"ztrace = trace7['zi'][burnin:]\n",
"print('zi',ztrace[-1,:])\n",
"print('zi',stats.mode(ztrace[:],axis=0))\n",
"\n",
"print(np.mean(ztrace[-1:]==(t1==1)))\n",
"\n",
"pc=np.mean(ztrace==(t1==1),axis=1)\n",
"\n",
"my_pdf = gaussian_kde(pc)\n",
"x=np.linspace(.4, 1, 100)\n",
"plt.plot(x,my_pdf(x),'r') # distribution function\n",
"plt.hist(pc, normed=1, alpha=.3)\n",
"plt.xlabel('Correct label')\n",
"plt.ylabel('Posterior Density')\n",
"plt.show()\n"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.4.3+"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
@junpenglao
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2016-02-16 update: This problem has been fixed in the new pymc3 branch.
ref: pymc-devs/pymc#981

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