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Last active April 1, 2016 15:51
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Mini-batch ADVI on hierarchical regression model\n",
"Unlike Gaussian mixture models, (hierarchical) regression models have independent variables. These variables affect the likelihood function, but are not random variables. When using mini-batch, we should take care of that. "
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import pymc3 as pm \n",
"import pandas as pd\n",
"\n",
"data = pd.read_csv('data/radon.csv')\n",
"\n",
"county_names = data.county.unique()\n",
"county_idx = data['county_code'].values\n",
"n_counties = len(data.county.unique())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here, 'log_radon_t' is a dependent variable, while 'floor_t' and 'county_idx_t' determine independent variable. "
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [],
"source": [
"import theano.tensor as tt\n",
"\n",
"log_radon_t = tt.vector()\n",
"log_radon_t.tag.test_value = np.zeros(1)\n",
"floor_t = tt.vector()\n",
"floor_t.tag.test_value = np.zeros(1)\n",
"county_idx_t = tt.ivector()\n",
"county_idx_t.tag.test_value = np.zeros(1, dtype='int32')\n",
"\n",
"minibatch_tensors = [log_radon_t, floor_t, county_idx_t]"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Applied interval-transform to sigma_alpha and added transformed sigma_alpha_interval to model.\n",
"Applied interval-transform to sigma_beta and added transformed sigma_beta_interval to model.\n",
"Applied interval-transform to eps and added transformed eps_interval to model.\n"
]
}
],
"source": [
"with pm.Model() as hierarchical_model:\n",
" # Hyperpriors for group nodes\n",
" mu_a = pm.Normal('mu_alpha', mu=0., sd=100**2)\n",
" sigma_a = pm.Uniform('sigma_alpha', lower=0, upper=100)\n",
" mu_b = pm.Normal('mu_beta', mu=0., sd=100**2)\n",
" sigma_b = pm.Uniform('sigma_beta', lower=0, upper=100)\n",
" \n",
" # Intercept for each county, distributed around group mean mu_a\n",
" # Above we just set mu and sd to a fixed value while here we\n",
" # plug in a common group distribution for all a and b (which are\n",
" # vectors of length n_counties).\n",
" a = pm.Normal('alpha', mu=mu_a, sd=sigma_a, shape=n_counties)\n",
" # Intercept for each county, distributed around group mean mu_a\n",
" b = pm.Normal('beta', mu=mu_b, sd=sigma_b, shape=n_counties)\n",
" \n",
" # Model error\n",
" eps = pm.Uniform('eps', lower=0, upper=100)\n",
" \n",
" # Model prediction of radon level\n",
" # a[county_idx] translates to a[0, 0, 0, 1, 1, ...],\n",
" # we thus link multiple household measures of a county\n",
" # to its coefficients.\n",
" radon_est = a[county_idx_t] + b[county_idx_t] * floor_t\n",
" \n",
" # Data likelihood\n",
" radon_like = pm.Normal('radon_like', mu=radon_est, sd=eps, observed=log_radon_t)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Random variable 'radon_like', associated with 'log_radon_t', should be given to the function for ADVI to denote that as observations in the likelihood term. "
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"minibatch_RVs = [radon_like]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"On the other hand, 'minibatches' should include the three variables above. "
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def create_minibatch(data):\n",
" rng = np.random.RandomState(0)\n",
" \n",
" while True:\n",
" ixs = rng.randint(len(data), size=100)\n",
" yield data[ixs]\n",
"\n",
"minibatches = [\n",
" create_minibatch(data.log_radon.values), \n",
" create_minibatch(data.floor.values), \n",
" create_minibatch(data.county_code.values.astype('int32'))\n",
"]\n",
"\n",
"total_size = len(data)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Then, run ADVI with mini-batch. "
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Iteration 0 [0%]: ELBO = -2594.62\n",
"Iteration 4000 [10%]: ELBO = -1396.65\n",
"Iteration 8000 [20%]: ELBO = -1130.47\n",
"Iteration 12000 [30%]: ELBO = -1062.18\n",
"Iteration 16000 [40%]: ELBO = -998.42\n",
"Iteration 20000 [50%]: ELBO = -1327.23\n",
"Iteration 24000 [60%]: ELBO = -1293.85\n",
"Iteration 28000 [70%]: ELBO = -1076.49\n",
"Iteration 32000 [80%]: ELBO = -1217.88\n",
"Iteration 36000 [90%]: ELBO = -1296.58\n",
"Finished [100%]: ELBO = -1072.46\n"
]
}
],
"source": [
"means, sds, elbos = pm.variational.advi_minibatch(\n",
" model=hierarchical_model, n=40000, minibatch_tensors=minibatch_tensors, \n",
" minibatch_RVs=minibatch_RVs, minibatches=minibatches, \n",
" total_size=total_size, learning_rate=1e-2, epsilon=1.0\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Check the trace of ELBO and compare the result with MCMC. "
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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5eKLe0b+5oQ/U9NA157ssGPjaxIb5IvNUYZOXpV1mvQ3wlxcScLu8yuCctVbO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\nHc32oukAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x137259590>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"plt.plot(elbos)\n",
"plt.ylim(-5000, 0);"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Applied interval-transform to sigma_alpha and added transformed sigma_alpha_interval to model.\n",
"Applied interval-transform to sigma_beta and added transformed sigma_beta_interval to model.\n",
"Applied interval-transform to eps and added transformed eps_interval to model.\n"
]
}
],
"source": [
"# Inference button (TM)!\n",
"with pm.Model():\n",
" # Hyperpriors for group nodes\n",
" mu_a = pm.Normal('mu_alpha', mu=0., sd=100**2)\n",
" sigma_a = pm.Uniform('sigma_alpha', lower=0, upper=100)\n",
" mu_b = pm.Normal('mu_beta', mu=0., sd=100**2)\n",
" sigma_b = pm.Uniform('sigma_beta', lower=0, upper=100)\n",
" \n",
" # Intercept for each county, distributed around group mean mu_a\n",
" # Above we just set mu and sd to a fixed value while here we\n",
" # plug in a common group distribution for all a and b (which are\n",
" # vectors of length n_counties).\n",
" a = pm.Normal('alpha', mu=mu_a, sd=sigma_a, shape=n_counties)\n",
" # Intercept for each county, distributed around group mean mu_a\n",
" b = pm.Normal('beta', mu=mu_b, sd=sigma_b, shape=n_counties)\n",
" \n",
" # Model error\n",
" eps = pm.Uniform('eps', lower=0, upper=100)\n",
" \n",
" # Model prediction of radon level\n",
" # a[county_idx] translates to a[0, 0, 0, 1, 1, ...],\n",
" # we thus link multiple household measures of a county\n",
" # to its coefficients.\n",
" radon_est = a[county_idx] + b[county_idx] * data.floor.values\n",
" \n",
" # Data likelihood\n",
" radon_like = pm.Normal(\n",
" 'radon_like', mu=radon_est, sd=eps, observed=data.log_radon.values)\n",
" \n",
" #start = pm.find_MAP()\n",
" step = pm.NUTS(scaling=means)\n",
" hierarchical_trace = pm.sample(10000, step, start=means, progressbar=False)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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/mhw39VBoHOvgOcFhT//EBdeyKmjytvNTrlm3h4X9fgHIDeRG42iL02dZOQKX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mrSigS7KDO68YSa/0pESH1SE0d/xWSzKZTJx3Sl+6Jjt5/j8beHL2Gq49N49JozUDoIhIW6aE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H4gqOzs1n0IwUl7ndcadxjbdQAMpgqYLxnIZQNh+/i3O3SbBe6kz7FT7TDTXmHOXicWRptJ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\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6+eSTdfnll6u5ubn78TfeeEOPP/64JKmiokILFy48YPszzjhDkjRq1ChNnDhRFRUVkqQR\nI0aotbVVHo9Hv/3tb7Vy5Urt2rVLGzduVHt7e49qu/DCC2UYhgoKCrRw4UL99a9/VSKRUENDg/7h\nH/5BlmVJkkzT1ObNmzV+/PjubZM5bheHw6G5c+dKkqZMmaK2trYvPWfNmjVfWY8kTZo0SR6PR5K0\naNEi/fKXv1RTU5M2bNig0aNHa9SoURo1apRGjhyp+++/X7t27dKqVat0zDHH9KpWAEDuIlABwAA2\nYsQIvfjii1q1apXeffddXXHFFfrRj37U/bjNZjvg+V/82ul0dn9ut3/5JaOurk4XX3yxLr74Ys2a\nNUsLFy7U66+/3qPaPn8sy7Jkt9uVSCQ0fvx4PfTQQ92P1dfXq6ysTPv370/Jcbs4HI7uzw3D6A5M\nn3eoep566qnuMCVJbrdbZ511lp5++mmtWbNGF110kSTpL3/5ix555BFddtllOuecc1RUVKTa2tpe\n1QoAyF10+QOAAeyBBx7QTTfdpJNPPln/9E//pFNPPVX3339/9+Pz5s3To48+KklqaWnRSy+9JMMw\nerz/9evXq7S0VH/3d3+nk08+WStXrpSkg4aTL3riiSckSW1tbXr++ec1d+5czZgxQzt37tQHH3wg\nSdq4caMWLlyo+vr67sCV7HG7fPG5XV/bbDbFYjFJOmQ9B3PhhRdq+fLlWrt2bfe1VG+//bbOP/98\nff3rX9eYMWO0cuXK7r8HAKD/Y4YKAAawc889V++//74WL14sj8ejYcOG6Zvf/GZ3l7+bbrpJP/zh\nD/U3f/M3Ki4u1vDhw+V2uyXpkMGq67FTTz1Vjz32mBYuXKj8/HxNmzZNpaWl2rVr1yGbLhiGIa/X\nq/PPP1/hcFiXX365Zs2aJUm6++679ctf/lLhcFiWZek//uM/NHToUCUSCU2ePFmLFy/WH//4R1VV\nVfXpuAf7/PNfT5gwQaZp6qKLLtLDDz/8lfUczNSpU2W327Vw4cLu2b0rr7xSt956q5YvXy7TNDV1\n6lRt2bLlsP/GAID+wbB683YeAGBA+ctf/qKpU6dqxowZikQiuvTSS/Xd735Xp556arZLAwCgX0jJ\nDNX555+vgoICSZ3r9f/t3/4tFbsFAKTZ+PHj9bOf/UyJREKxWExnnXVWSsLUe++9p9tvv/2AGRjL\nsmQYho4//njddNNNSR8jl44LABi8kp6hikQi+sY3vqHly5enqiYAAAAA6BeSbkqxadMmhUIhXXXV\nVbriiitUXV2diroAAAAAIOclPUO1ZcsWVVdX68ILL9TOnTv17W9/WytWrJBp0kAQAAAAwMCW9DVU\nY8aM0ejRo7s/Ly4uVkNDg6qqqg76/K617AAAAADQ3yUdqB577DFt2bJFP/7xj1VXV6dgMKiKioqv\nfL5hGGpo8Cd7WAwwFRVezgt8CecFDobzAgfDeYGD4bzAwVRUeFO6v6QD1QUXXKAf/OAHuuSSS2Sa\npv7t3/6N5X4AAAAABoWkA5XD4dAdd9yRiloAAAAAoF9hKgkAAAAA+ohABQAAgKzbsqdVT721Qzv2\n+bJdCtArSS/5AwAAAJLx7sf79funPpYkPf3Xnbru69M0fVx5lqsCeoYZKgAAAGSNPxTR/Su2yO2y\n6aJ542UY0h+e26RwJJ7t0oAeIVABAAAga1auqVUoHNPXTh6rs44fpUXHj5YvGNHr1XuzXRrQIwQq\nAAAAZEUiYenN6r1yOW06dcYwSdIZx42U3WborXUEKvQPBCoAAABkxabdLWryhXX85Cq5XZ2X9he4\nHZo+rlw1DUHtqQ9kuULg8AhUAAAAyIq12xolSbMnVx7w/ROmVEmS3t9Ul/GagN4iUAEAACDjLMtS\n9bZG5Tltmjiy+IDHpo4tlc009NGO5ixVB/QcgQoAAAAZV9/SrobWDk0dUyq77cBfSd0uu8YNL9LO\nfX4F2qNZqhDoGQIVAAAAMm7LnlZJ0pGjSw76+FFjS2VJ+ngns1TIbQQqAAAAZNzW2jZJ0oQRRQd9\nfNKozmWA2z59HpCrCFQAAADIuK01bXK7bBpRUXDQx0dXeWUzDX2y15fhyoDeIVABAAAgtHo0kgAA\nGu9JREFUo3yhiOqaQxo3rEimaRz0OU6HTSMrC7S7zq9oLJHhCoGeI1ABAAAgo7Z/uoxv/Fcs9+sy\nbniRYnFLu+v8mSgL6BMCFQAAADJq1/7OgHTE0MJDPm/csM7Ht7PsDzmMQAUAAICM2l0XkCSNqvIe\n8nljPw1UO/cRqJC7CFQAAADIqF11fhUXOFWY7zzk8yqK3XI5bdpTH8hQZUDvEagAAACQMf5QRC3+\n8GFnpyTJNAyNrCjQvqaQorF4BqoDeo9ABQAAgIz5bLnfwdulf9GIygIlLEt7G0PpLAvos5QFqqam\nJp122mnasWNHqnYJAACAAaarY9+oysPPUEnSyMrO4LW7nk5/yE0pCVSxWEw//vGPlZeXl4rdAQAA\nYICqaQhKkkb2cIaqK1DV1AfTVhOQjJQEqn//93/X0qVLVVlZmYrdAQAAYIDa2xSUw26qosjdo+eP\nqMiXIWkPM1TIUUkHquXLl6usrEwnn3yyLMtKRU0AAAAYgBKWpX1NQQ0t9cg0jR5tk+e0q6woT3ub\nuIYKucme7A6WL18uwzD09ttva9OmTfr+97+v//zP/1RZWdlXblNR0bM1sxhcOC9wMJwXOBjOCxwM\n50Xuq2sOKRJNaOzw4l6N1+ihhVq9qV7ufJcKPIdutf5FnBdIt6QD1f3339/9+bJly/Szn/3skGFK\nkhoamLLFgSoqvJwX+BLOCxwM5wUOhvOif9iwvVGSVOp19mq8yrwuSdL6zfUaP6Kox9txXuBgUh2y\nU9o23TB6NnULAACAwaer9fmwsvxebTesvPP5e5toTIHck/QM1ef96U9/SuXuAAAAMIDsbewMRMPK\nPb3abmhZ5/P3EaiQg7ixLwAAADJib1NQNtNQZUnPOvx1GfrpjNY+GlMgBxGoAAAAkHaWZWlvY1BD\nyjyymb37FbTA7VChx9E9wwXkEgIVAAAA0q41EFFHJK6hpb1b7tdlaFm+mto6FInGU1wZkBwCFQAA\nANKuvqVzuV5VXwNVeb4sSfubWfaH3EKgAgAAQNrVt7RLkiqLe3f9VJeuxhQEKuQaAhUAAADSrr71\n00DVy4YUXapKOgNVHYEKOYZABQAAgLSr65qhKunbkr+qT4NY10wXkCsIVAAAAEi7+uaQnA5TxQXO\nPm1fVpQn0zC6gxmQKwhUAAAASCvLslTX2q7KYo8Mw+jTPuw2U+VFeaprYckfcguBCgAAAGnlC0UV\njsS7l+31VWWpW/5QVKGOWIoqA5JHoAIAAEBadbVM72tDii5djSnqW5mlQu4gUAEAACCtulumJztD\nRWMK5CACFQAAANKqq5FEVR87/HWhdTpyEYEKAAAAaZWyJX+lndvT6Q+5hEAFAACAtKpraZfDbqrY\n60pqP2WFna3TWfKHXEKgAgAAQNpYlqX6lnZVFrtl9rFlehe7zVR5Ma3TkVsIVAAAAEibQHtU7eFY\n0sv9ulSVeGidjpxCoAIAAEDapKrDX5fuTn+0TkeOIFABAAAgbbqW5yXb4a9L182B65q5jgq5gUAF\nAACAtEn1DFVV6ac39+U6KuQIe7I7SCQS+uEPf6gdO3bINE399Kc/1fjx41NRGwAAAPq5dC35o3U6\nckXSM1SvvvqqDMPQAw88oOuvv16/+tWvUlEXAAAABoC6lnbZbYZKvXkp2V95UZ5sJq3TkTuSnqFa\nsGCB5s+fL0mqra1VUVFR0kUBAABgYKhvCami2C3TTK5lehebaaqsKI8lf8gZKbmGyjRN3XTTTbrt\nttt0zjnnpGKXAAAA6OcC7VEFO2KqLE7Ncr8ulSVu+UKd7diBbEt6hqrLL37xCzU1NenCCy/Uc889\np7y8r57WrajwpuqwGEA4L3AwnBc4GM4LHAznRe5p2d0iSRozvDil4zNmaJE2fNKsqAyNOsx+OS+Q\nbkkHqieffFJ1dXX6zne+I5fLJdM0ZZqHnvhqaPAne1gMMBUVXs4LfAnnBQ6G8wIHw3mRmzZ/0ihJ\n8ubZUjo+3rzOX2E372hSocv2lc/jvMDBpDpkJx2ozjzzTP3gBz/QZZddplgspltuuUVOpzMVtQEA\nAKAfS3WHvy7dnf6auY4K2Zd0oHK73brrrrtSUQsAAAAGkLruQJWam/p2+exeVHT6Q/ZxY18AAACk\nRX1rSDbTUFmhK6X7LS/Kk2Fwc1/kBgIVAAAA0qKuuV3lxW7ZDnN9fW/ZbabKCvNU18oMFbKPQAUA\nAICUC3VEFWiPqirF1091qSpxqy0QUTgST8v+gZ4iUAEAACDl6j+dPUr1Pai6dF2XVc8sFbKMQAUA\nAICUS1eHvy5d++U6KmQbgQoAAAApl64Of10+C1TMUCG7CFQAAABIua6Zo3RdQ9UV1OoIVMgyAhUA\nAABSrq6lXaZhqKwoLy37ryzOkyGW/CH7CFQAAABIufqWdpUVuWS3pefXTYfdppJCFzNUyDoCFQAA\nAFKqPRyTLxhRVZqun+pSWexWiz+sSJTW6cgeAhUAAABSqqtRRLoDVVVp5/4baJ2OLCJQAQAAIKXq\nPr2uqbI0PQ0putDpD7mAQAUAAICUqmvu6vCX7iV/dPpD9hGoAAAAkFJdAacqzTNUXS3Z61nyhywi\nUAEAACCl6lpCspmGytPUMr1LRXHXkj9apyN7CFQAAABIqbrmdpUV5clmpvdXTZfTpuICJ9dQIasI\nVAAAAEiZUEdUgfZo2q+f6lJZ4lGTr0PRWCIjxwO+iEAFAACAlOm+fqokvddPdaksccuypMY2ZqmQ\nHQQqAAAApExXy/Sue0SlW1dwo9MfsoVABQAAgJSpb870DFVncOM6KmSLPdkdxGIx3XzzzaqtrVU0\nGtU111yj+fPnp6I2AAAA9DOf3dQ3Q9dQ0ekPWZZ0oHrqqadUUlKiX/7yl2pra9O5555LoAIAABik\n6lraZTMNlRW6MnK8yq57UTFDhSxJOlAtWrRIZ511liQpkUjIbk96lwAAAOin6ppDKi92p71lehe3\ny67CfFqnI3uSPtPdbrc8Ho8CgYCuv/563XDDDamoCwAAAP1MoD2qYEcsY9dPdakscauxrUOxOK3T\nkXkpmU7at2+frr32Wl122WVavHjxYZ9fUeFNxWExwHBe4GA4L3AwnBc4GM6L7Gve1SxJGjO8KKPj\nMWpIobbVtMmy2VRRUXDAY5wXSLekA1VjY6Ouuuoq3XrrrTrhhBN6tE1Dgz/Zw2KAqajwcl7gSzgv\ncDCcFzgYzovcsHF7oySpyO3I6HgUexySpI+2Nsghq/v7nBc4mFSH7KSX/P3ud7+Tz+fTvffeq2XL\nlunyyy9XJBJJRW0AAADoR/Y1dXbaG1aWmQ5/XYaW5X96/GBGjwtIKZihuuWWW3TLLbekohYAAAD0\nY12BpivgZMqw8s4At5dAhSzgxr4AAABIib1NIeXn2eX9dAleplSWuGUzje4ZMiCTCFQAAABIWiye\nUENLu4aW5cswjIwe22aaqir1aG9jUJZlHX4DIIUIVAAAAEhaXUu7EpaloRm+fqrL0DKPOiJxtQa4\nlh+ZRaACAABA0vY1Zuf6qS7DPj0u11Eh0whUAAAASNpnDSmyNEP1aWOKrmAHZAqBCgAAAEnraggx\ntDzbM1Q0pkBmEagAAACQtL1NQTnspsoL87Jy/CGlHhlihgqZR6ACAABAUhKWpf3NIQ0p9cg0M9vh\nr4vTYVN5cR4390XGEagAAACQlKa2DkWiiaxdP9VlaFm+fKGoAu3RrNaBwYVABQAAgKTU1AckSSMr\nC7JaR/d1VCz7QwYRqAAAAJCUPQ25EaiGV3QGqtpP6wEygUAFAACApHTNUI2oyG6g6gp0u+sJVMgc\nAhUAAACSsqchKI/LrhKvK6t1DCvPl800tIdAhQwiUAEAAKDPwtG46ptDGlFZIMPIToe/LnabqWHl\n+aqpDyiRsLJaCwYPAhUAAAD6bG9jUJakkVle7tdlVGWBIrGE6lq4wS8yg0AFAACAPuu+fqoyP8uV\ndOq6joplf8gUAhUAAAD6bHd3oMqNGaqRVV5J0u46AhUyg0AFAACAPtu53yfTMHJmyR8zVMg0AhUA\nAAD6JJ5IaHddQMMr8uV02LJdjiSpwO1QaaFLu+v92S4FgwSBCgAAAH2ytzGkaCyhsUO92S7lAKMq\nvWoLRNTi78h2KRgEUhaoqqurtWzZslTtDgAAADluxz6fJGnMkMIsV3KgMZ8GvC27WrJcCQYDeyp2\nct999+nJJ59Ufn5udHcBAADIFMuy5Pf7evx8r7cw6/drSpWd+zuX1Y3JsRmqccOKJEmbd7foiKrc\nuLYLA1dKAtXo0aN1zz336F/+5V9SsTsAAIB+w+/36dVtb8jt8Rz2ue2hkOaPn6PCwqIMVJZ+O/f5\nZLcZGpEjDSm6jB1aKEPS5l0tWnTcyGyXgwEuJYHqjDPOUG1tbSp2BQAA0O+4PR7lew+/UmcgzWZF\nYwnVNAQ0srJAdltuXZbvybNrSJlHW/e0KPH/27vXmKjOPAzgz9y5zDDI/eYFb2hRuVkbFQS3MZaa\nrptNLF+aZrsf5MPWJprSpEmDmEpp6mq/2Ka1l6RQWU2Mae3aaL2srIhXKijqoCIiFkSoCjPDwMww\nZz+wtWpRzlzPmeH5JXyQvHPygGeG8z/vef+vS4BSKc/fIYUGnxRURERERKHC3aLHbB6AIHKszTqI\n+genED0pZvyxMp/Nau8egHNEwPQUeeabkWJE/cVudPVZZbNHFoUmnxZUgiDu4yQ+Xl7P2ZI88Lyg\nsfC8oLHwvKCx+Oq86O/vx5GrpxGhH/8RPgDou9OLSKMBBkPYuGNtZh2U6gjEJcSOO9YyoIVG44JW\n6xKVAwCiogI3o3XsQjcA4PnMZFm+J7MyElB/sRt3zXbkZMovH4UOnxZUYt/Avb3cF4AeFx9v4HlB\nf8DzgsbC84LGMt554c6sk9k8AKeggkvkZdKIoILVOgSdiBbdFsswVBqlqLG9d+5jX+dhUbNZQOBn\ntM6b7gIAEo06Wb4nE6J0AIDzpjvInSHud0gTg69vAPisoEpNTcWuXbt8dTgiIiIin3GnccSvvX3Q\nR0UCItZE+Vt4RLiotVmB5nIJuP7LAyTGRMAYqZU6zphS4yNhiNDA1HEfgiDIdi0aBT+uoSIiIqKg\n8+SMk1brwsDA02dJzOYBhIlsHDFosfokYyjrvGuBbXgECzPkuX4KAJQKBebNiMPJi93o7R9CQnS4\n1JEoRLGgIiIioqDz5IyTwayD2Tz81PFymnXyl0B2ELza+QAAMHtytEevD5SsmaMFlanjPgsq8hsW\nVERERBSUHm1VHmkIe+aap4kw6xTIDoJXOu4DADKmyLugWjArHgBg6riPZVkpEqehUMWCioiIiChE\nBGLNlcPpwpWO+0iOjUCcUd6zPmkJehgjtbjCdVTkRyyoiIiISBbc7cQndu8n8q1rtx9g2DGCeenj\nt36XmkKhwNxpk3DqUg8671owJZHt08n3WFARERGRLARrJ76JpuXGPQDA/OnB0Yo8e2YcTl3qQdO1\nPhZU5BcsqIiIiMhv3J11Yic+eRMEAeev90GrVsq+IcVv5k+PhUqpwM/XevHn/HSp41AIYkFFRERE\nfsNZJ3lytyMgMNoV8JdeK3ruDSIvIx5ajcpP6XwrXKfG3KmT0NJ+D339Ntmv+6Lgw4KKiIiI/Cqc\ns06y405HQOD3roBnTb8CAJ6fk+DPeD6XMysOLe33cP5aH1YsnCx1HAoxSqkDEBEREVHg/dYRUMxX\neEQEBEHAuda70KiVWDBD/g0pHpU9Kx4KBXD6co/UUSgEsaAiIiIionHd7LGi+9dBZM+MQ5g2uB5y\nmmTQITM9Bje6BtDVx5lQ8q3gejcQERGRpNxde8P25qHj1OU+AAjaDXLz5yej5cY9nLjYjTXLZ0od\nh0IICyoiIiISzZ0mEwAbTYQKuwM4f/0+4oxhmDttktRxPJIzKw6RYWocv9CN1fnpQdNUg+SPBRUR\nEdEE56/W5gAbTYSKtnbA7nShMDsFSoVC6jge0ahVKMpJxf6THWi4dAdF2alSR6IQwYKKiIhogmNr\nc3oWp1PA1TYgTKvE8pw0qeN45cW8NBw4fQsHz3SiYEEyVEq2EyDvsaAiIiIitjanp7py1YmhYQUK\nMo1w2q0YsI//GoMhCgoZzmRF63XIX5CMuqYu1F/oRiFnqcgHWFARERGFGDaOIF+x2QQ0XXBAoxGg\nNrbhZNe98V/z/z2roqKMAUjovtX56Th56Q6+O96ORXMTEa7j5TB5h2cQERFREHB3ndPZniY2jiCv\nCIKAU2ftcDiA+RnDMBrDRK+dk7NovQ4vvzAV39W3Y/fR6/hb8RypI1GQY0FFREQUBDxZ58TGEeSN\na20jaO8YQUK8ElNSnQil7UtfXjwV51p78d/mLsyfHoO8jASpI1EQY0FFRETkI+4+aicIow/aiVlr\n4k53PRZI5K2u7hE0nLZDqwEK87UYMkudyLfUKiXWvvIcNtecwxf/voyYqDCkJ0dJHYuCFAsqIiKi\nZ/D3o3YqtRLRk2JEjeVjeRQItzqdOHZ8tPPEi0U6GPRKtwoqd28sSNXAIi1Bj9JXMrF970Vs+dd5\nrPvrfMydNv57kehJXhdUgiCgoqICra2t0Gq1qKysxOTJk32RjYiISBR/zwyJLZI8edROpVFy1olk\nwW4XcL7ZgUsmJ9Qq4E+FOiQnub/5rc06iPoHp0TdKJC6gUXO7HiUrs7EFz9cxj93N6H4hal4Zck0\n6LTc9JfE87qgOnz4MOx2O3bt2oXm5mZUVVXh008/9UU2IiLyAXeLDUD8HWN3ju1OEfOs8VqtCwMD\nj98uD8TMEIseCkWCIOD+AwE3bjphuuqE3Q5ERSlQlK9DXKzna6bCI8JFvWf8+fkk1qK5iZhk0OGL\nHy7jx1MdqL/QhaKcVLzwXCKSYzkjTOPzuqBqbGxEQUEBACArKwstLS1ehyJ6Fn/eifbX2ImQwx/H\nfvTC2Z0/oFJc5AdyrLvj3S02Bq1WLErKgcEw/noCd2dvxBYxzxpvMOtgNg//YSxnhogeNzwswDYk\nwOkEnCMCRpyAwyFg0Cag964WlkEVBsw22IZGx+u0QF62Bplz1VCrA/MInjuzWYB7n08AEBenFzVu\nVlo0Nv19EQ6euYVD5zqx78RN7DtxE9F6LdKTo5AUG4EYQxii9TqE6VTQaUa/tBolDOFaRIRxFc1E\n5vX/vsVigcFg+P2AajVcLheU3Hk65DgcDpw4XS96fEJsAtJSxe2oPtYd56cxmwdw/MZJ6MLDRI1/\n0HcPSo0SUcZoycZOhBz+OLa+SweLZRjDtiEUTF8s+g+oO+eI1D9joHJEGCNFF1S2QRsOm/7jl2P7\nk23QBqtZXPFjs9mgcihFjffX2ImQw5/HfnKsEk5Ynyi0A5HDn8f2Jod1EPjxEOASnlYYaQEAEeEC\nJqcCk1OA5ERArbZj2GbHk79Jv/6MavHXjO58Pg3bhrBaswIOh7jjR0UZ8ZeC6Vi5aAqarvfh59Ze\nXO/qx/lrfcC1p79Oq1bin/9YCn24RuyPQSFGIfx2m9NDH374IbKzs/HSSy8BAIqKinDs2DFfZCMi\nIiIiIpI1r6eRcnNzUVdXBwBoamrC7NmzvQ5FREREREQUDLyeoXq0yx8AVFVVIT093SfhiIiIiIiI\n5MzrgoqIiIiIiGiiYucIIiIiIiIiD7GgIiIiIiIi8hALKiIiIiIiIg8FdBeyQ4cO4cCBA9i6dSsA\noLm5GZWVlVCr1ViyZAnefPPNQMYhGenv70dZWRmsViuio6Px/vvvIyZG3CZ/FLosFgvWr1+PwcFB\n6HQ6bNmyBbGxsVLHIont2LEDx48fh0KhwMDAAPr6+lBfL36PPApNLpcLVVVVuHTpEux2O9atW4fC\nwkKpY5EMLFu2DNOmTQMA5OTkYP369dIGItloa2tDSUkJGhoaoNVqPT5OwGaoKisr8fHHHz/2vY0b\nN2Lbtm2ora3FhQsXYDKZAhWHZOazzz7DwoULsXPnTrz22mvYtm2b1JFIBvbu3YuMjAzs3LkTxcXF\n+PLLL6WORDKwdu1a1NTUoLq6GklJSdiyZYvUkUgGvv/+e4yMjKC2thaffPIJOjo6pI5EMnDr1i1k\nZmaiuroa1dXVLKboIYvFgo8++gg6nc7rYwWsoMrNzUVFRcXDf1ssFjgcDqSlpQEA8vPz0dDQEKg4\nJDNtbW1YtmwZgNFzpbGxUeJEJAezZ8+GxWIBMPqZodFwF3r63U8//QSj0YjFixdLHYVkoL6+HgkJ\nCSgtLUV5eTmWL18udSSSgZaWFvT09OD1119HaWkp2tvbpY5EMlFeXo4NGzYgLCzM62P5/JG/PXv2\n4Jtvvnnse1VVVSguLsaZM2cefs9qtUKv1z/8d2RkJG7fvu3rOCRDY50jycnJOHLkCObMmYMjR45g\neHhYonQklbHOi/Lycpw4cQKrVq1Cf38/amtrJUpHUnna35R58+Zhx44df3jygSaGsc6LmJgY6HQ6\nfP755zh79izeffddfPvttxIlJCmMdV5s3LgRpaWlWLlyJRobG1FWVoY9e/ZIlJCkMNZ5kZKSglWr\nViEjIwO+2EEqoPtQnTlzBrt378bWrVthsVhQUlKC/fv3AwCqq6sxMjKCN954I1BxSEasVis2b96M\n27dvo7CwEEePHuXFM2HdunUoKCjAq6++itbWVpSVlWHfvn1SxyIZaGtrwwcffICvvvpK6igkExs2\nbEBxcTFWrFgBYPTJF66to6GhIahUqodPOBQWFqKurk7iVCS1lStXIjExEYIgoLm5GVlZWaipqfH4\neJJ1+dPr9dBqtejs7IQgCKivr0deXp5UcUhi586dQ0lJCWpqajBlyhTk5uZKHYlkwGg0PpzJjomJ\ngdVqlTgRyUVDQwMKCgqkjkEykpeX9/BC2WQyISUlReJEJAfbt29/ODthMpmQnJwscSKSg4MHD6K6\nuho1NTWIi4vD119/7dXxAtrl70mbNm3C22+/DZfLhaVLl2LBggVSxiEJpaen45133gEAJCUlobKy\nUuJEJAdvvfUW3nvvPdTW1sLpdGLz5s1SRyKZuHnzJpYsWSJ1DJKRNWvWoKKiAiUlJQBGrzGI1q5d\ni7KyMtTV1UGtVqOqqkrqSCQzCoXC68f+AvrIHxERERERUSjhxr5EREREREQeYkFFRERERETkIRZU\nREREREREHmJBRURERERE5CEWVERERERERB5iQUVEREREROQhFlREREREREQeYkFFRERERETkof8B\n3XO5pteEUQwAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x139085110>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from scipy import stats\n",
"import seaborn as sns\n",
"varnames = means.keys()\n",
"fig, axs = plt.subplots(nrows=len(varnames), figsize=(12, 18))\n",
"for var, ax in zip(varnames, axs):\n",
" mu_arr = means[var]\n",
" sigma_arr = sds[var]\n",
" ax.set_title(var)\n",
" for i, (mu, sigma) in enumerate(zip(mu_arr.flatten(), sigma_arr.flatten())):\n",
" sd3 = (-4*sigma + mu, 4*sigma + mu)\n",
" x = np.linspace(sd3[0], sd3[1], 300)\n",
" y = stats.norm(mu, sigma).pdf(x)\n",
" ax.plot(x, y)\n",
" if hierarchical_trace[var].ndim > 1:\n",
" t = hierarchical_trace[var][i]\n",
" else:\n",
" t = hierarchical_trace[var]\n",
" sns.distplot(t, kde=False, norm_hist=True, ax=ax)\n",
"fig.tight_layout()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.11"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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