{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# From the normal model to regression\n", "\n", "##### Keywords: bayesian, normal-normal model, conjugate prior, MCMC engineering, pymc3, regression" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import scipy as sp\n", "import matplotlib as mpl\n", "import matplotlib.cm as cm\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "pd.set_option('display.width', 500)\n", "pd.set_option('display.max_columns', 100)\n", "pd.set_option('display.notebook_repr_html', True)\n", "import seaborn as sns\n", "sns.set_style(\"whitegrid\")\n", "sns.set_context(\"poster\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The example we use here is described in McElreath's book, and our discussion mostly follows the one there, in sections 4.3 and 4.4. We have used code from https://github.com/aloctavodia/Statistical-Rethinking-with-Python-and-PyMC3/blob/master/Chp_04.ipynb ." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Howell's data\n", "\n", "These are census data for the Dobe area !Kung San (https://en.wikipedia.org/wiki/%C7%83Kung_people). Nancy Howell conducted detailed quantitative studies of this Kalahari foraging population in the 1960s." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " height weight age male\n", "0 151.765 47.825606 63.0 1\n", "1 139.700 36.485807 63.0 0\n", "2 136.525 31.864838 65.0 0\n", "3 156.845 53.041915 41.0 1\n", "4 145.415 41.276872 51.0 0" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = pd.read_csv('data/Howell1.csv', sep=';', header=0)\n", "df.head()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " height weight age male\n", "539 145.415 31.127751 17.0 1\n", "540 162.560 52.163080 31.0 1\n", "541 156.210 54.062496 21.0 0\n", "542 71.120 8.051258 0.0 1\n", "543 158.750 52.531624 68.0 1" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.tail()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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nWqrmbIwHbUZ/f0TcCjyDar3+XcAlPHJhkzvbHnMX1R+wBG+hOgHc+1rKng48EBFfAw4CvgtcmJkfmIf29eorwIGZeXdEXNBW12RcVwD/nZk/m2KbFQymaftcnw7k1a1l9YV5nke1jDP5SedJwGERsZnqDWAcOLe+TOegmWmMofPzuKgxnsLFwOcy84bJgrke44EI+vqJfhDVR6A1VB/dj6H6Ay0GtgMPZOaDbQ+9h0cuejK0ImI51frkKzNzR132BKqdk0+hmjlsodpRdVW9lnv1fLW3G5n5/Rmq96HzuO7D7he0mdzml/a8hf3Xoc9TeRPwVKrnAFTBOEL14j8TeAh4DbAxIo7MzJl24s+5mfrb8Hlc7BjXB10cyu77J+Z0jAci6Gt/AHw3MycvR/hPEbGEaifdW+jTRU0G1ClUL4APtZRtAY4CvpGZP6zLPl+/cN4IDEXQdzBC53Ftss3QiohzgHVUR6BsrIu/STXR+VK9L4eIuBH4OtUO3IEK+g6aPI9LHuNXUu2faD+L75yO8UAEfb1X/QtTVH0WeBXVTH9RROydmdtb6pfyyEVPhtnxwCcz84HJgnotr30dF6q/ydERsaSbC7oMqK10Htet9f12Qz329WGl64HXA++mWusFIDPvBnb5+J6ZD9dB0H6ExkBr8jym3DGePFX7O9rr5nqMB2JnbEQ8ISJeGRHL2qoW17dbeORjTqvlVDuxhlZEPBEYpe3IgohYERGvrvfut1oMTFC9+Q27O+g8rncAj6+PPZ9um6ESEY+imsm+HrgoM1+bmTtb6g+LiFOmeOhipv6uycBq+Dwuboxrz6RaltrtqKG5HuOBCHpgEfDXwEvbyk+g2kH5CeB+dr2wyX7AEQz/hU1+o75tP8TqF6lmes+fLKhngX8E3NwaDEPsVjqP6ybg0cCqlm2eAvwqwzv266me66szc90U9YcC74uIwyYL6hB8PtURScOkyfO4xDGG6rW9jWona7s5HeNBWbr5dkRcA1wYETuo/jAvpAr64zPz3oi4vKV+M9W65jZgw3y1u0+eBvwkM/+3rfyfgS8BV9bh90Oq9b6DgWfNbRNnR5Nxzcw7I+JjVC+Kfak+3b2V6rC0T85Py3sXEc+gOv76RuDWiDi8pfrhzPwK1Rdr3gB8LCLWUc18z6I6NPMv5rjJe6rj87i0MW7xNGDzNJOyOR3jQZnRQ/UFmcuAP6M6rvrXgBMyc/IY67XAX1IdlfNhqrW7I4f0W7GtHgfc3V5Y77c4DvgH4M1Un2oeBzw3M8fmtIWzq8m4vhz4CPA2qjeArwPPH+RvTM7gWKrlqucCt7X9+yJUb4BU34r+CtVr4hrgPuB3MvN789DmnnXxPC5pjCdN+dqGuR9jLzwiSYUbpBm9JGkWGPSSVDiDXpIKZ9BLUuEMekkqnEEvSYUz6CWpcAa9JBXOoJekwv0fWKi8Xz79KSkAAAAASUVORK5CYII=\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist(df.height, bins=30);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We get rid of the kids and only look at the heights of the adults." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df2 = df[df.age >= 18]\n", "plt.hist(df2.height, bins=30);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Model for heights\n", "\n", "We will now get relatively formal in specifying our models.\n", "\n", "We will use a Normal model, $h \\sim N(\\mu, \\sigma)$, and assume that the priors are independent. That is $p(\\mu, \\sigma) = p(\\mu \\vert \\sigma) p(\\sigma) = p(\\mu)p(\\sigma)$.\n", "\n", "Our model is:\n", "\n", "$$\n", "h \\sim N(\\mu, \\sigma)\\\\\n", "\\mu \\sim Normal(148, 20)\\\\\n", "\\sigma \\sim Unif(0, 50)\n", "$$" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import pymc3 as pm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### A pymc3 model\n", "\n", "We now write the model as a pymc3 model. You will notice that the code pretty much follows our formal specification above.\n", "\n", "When we were talking about gibbs in a Hierarchical model, we suggested that software uses the Directed Acyclic Graph (DAG) structure of our models to make writing conditionals easy.\n", "\n", "This is exactly what `pymc` does. A \"Deterministic Random Variable\" is one whose values are determined by its parents, and a \"Stochastic Random Variable\" has these parental dependencies but is specified by them only upto some sampling. \n", "\n", "Deterministic nodes use `pm.Deterministic` or plain python code, while Stochastics come from distributions, and then belong to the `pm.FreeRV`\n", "\n", "So for example, the likelihood node in the graph below, depends on the mu and sigma nodes as its parents, but is not fully specified by them.\n", "\n", "Specifically, a likelihood stochastic is an instance of the `ObservedRV` class.\n", "\n", "A Stochastic always has a `logp`, the log probability of the variables current value, given that of its parents. Clearly this is needed to do any metropolis stuff! `pymc` provides this for many distributions, but we can easily add in our own." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "with pm.Model() as hm1:\n", " mu = pm.Normal('mu', mu=148, sd=20)#parameter\n", " sigma = pm.Uniform('sigma', lower=0, upper=20)#testval=df2.height.mean()\n", " height = pm.Normal('height', mu=mu, sd=sigma, observed=df2.height)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`testval` can be used to pass a starting point." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (2 chains in 2 jobs)\n", "NUTS: [sigma, mu]\n", "Sampling 2 chains: 100%|██████████| 21000/21000 [00:11<00:00, 1885.46draws/s]\n" ] } ], "source": [ "with hm1:\n", " #stepper=pm.Metropolis()\n", " tracehm1=pm.sample(10000)# a start argument could be used here\n", " #as well" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "//anaconda/envs/py3l/lib/python3.6/site-packages/matplotlib/axes/_base.py:3449: MatplotlibDeprecationWarning: \n", "The `ymin` argument was deprecated in Matplotlib 3.0 and will be removed in 3.2. Use `bottom` instead.\n", " alternative='`bottom`', obj_type='argument')\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.traceplot(tracehm1);" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.autocorrplot(tracehm1);" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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meansdmc_errorhpd_2.5hpd_97.5n_effRhat
mu154.5923030.4176100.003010153.783429155.43546621645.5733260.999956
sigma7.7712910.2981180.0017737.1965918.35422121980.4087900.999954
\n", "
" ], "text/plain": [ " mean sd mc_error hpd_2.5 hpd_97.5 n_eff Rhat\n", "mu 154.592303 0.417610 0.003010 153.783429 155.435466 21645.573326 0.999956\n", "sigma 7.771291 0.298118 0.001773 7.196591 8.354221 21980.408790 0.999954" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pm.summary(tracehm1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A very nice hack to find the acceptance values is below, which I found at the totally worth reading tutorial [here](http://rlhick.people.wm.edu/stories/bayesian_7.html)." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 153.6004105 , 155.20993936, 154.92823072, ..., 154.32254415,\n", " 154.11381157, 155.03932888])" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tracehm1['mu'][1:]" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 154.29586399, 153.6004105 , 155.20993936, ..., 154.57722743,\n", " 154.32254415, 154.11381157])" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tracehm1['mu'][:-1]" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def acceptance(trace, paramname):\n", " accept = np.sum(trace[paramname][1:] != trace[paramname][:-1])\n", " return accept/trace[paramname].shape[0]" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.93584999999999996, 0.93584999999999996)" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "acceptance(tracehm1, 'mu'), acceptance(tracehm1, 'sigma')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### How strong is the prior?\n", "\n", "Above we had used a very diffuse value on the prior. But suppose we tamp it down instead, as in the model below." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "with pm.Model() as hm1dumb:\n", " mu = pm.Normal('mu', mu=178, sd=0.1)#parameter\n", " sigma = pm.Uniform('sigma', lower=0, upper=50)#testval=df2.height.mean()\n", " height = pm.Normal('height', mu=mu, sd=sigma, observed=df2.height)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (2 chains in 2 jobs)\n", "NUTS: [sigma, mu]\n", "Sampling 2 chains: 100%|██████████| 21000/21000 [00:11<00:00, 1780.78draws/s]\n" ] } ], "source": [ "with hm1dumb:\n", " #stepper=pm.Metropolis()\n", " tracehm1dumb=pm.sample(10000)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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meansdmc_errorhpd_2.5hpd_97.5n_effRhat
mu177.8636230.1009330.000616177.664168178.05997619889.1722430.999951
sigma24.6105650.9400300.00625022.82431326.48090820549.3367810.999952
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" ], "text/plain": [ " mean sd mc_error hpd_2.5 hpd_97.5 n_eff Rhat\n", "mu 177.863623 0.100933 0.000616 177.664168 178.059976 19889.172243 0.999951\n", "sigma 24.610565 0.940030 0.006250 22.824313 26.480908 20549.336781 0.999952" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pm.summary(tracehm1dumb)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ok, so our `mu` did not move much from our prior. But see how much larger our `sigma` became to compensate. One way to think about this is that . 0.1 standard deviation on the posterior corrsponds to a \"prior N\" of 100 points (1/0.1^2) in contrast to a 20 standard deviation. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Regression: adding a predictor" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(df2.height, df2.weight, '.');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So lets write our model out now:\n", "\n", "$$\n", "h \\sim N(\\mu, \\sigma)\\\\\n", "\\mu = intercept + slope \\times weight\\\\\n", "intercept \\sim N(150, 100)\\\\\n", "slope \\sim N(0, 10)\\\\\n", "\\sigma \\sim Unif(0, 50)\n", "$$\n", "\n", "Why should you not use a uniform prior on a slope?" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (2 chains in 2 jobs)\n", "NUTS: [sigma, slope, intercept]\n", "Sampling 2 chains: 100%|██████████| 21000/21000 [00:46<00:00, 448.84draws/s]\n", "The acceptance probability does not match the target. It is 0.891475946693, but should be close to 0.8. Try to increase the number of tuning steps.\n" ] } ], "source": [ "with pm.Model() as hm2:\n", " intercept = pm.Normal('intercept', mu=150, sd=100)\n", " slope = pm.Normal('slope', mu=0, sd=10)\n", " sigma = pm.Uniform('sigma', lower=0, upper=50)\n", " # below is a deterministic\n", " mu = intercept + slope * df2.weight\n", " height = pm.Normal('height', mu=mu, sd=sigma, observed=df2.height)\n", " #stepper=pm.Metropolis()\n", " tracehm2 = pm.sample(10000)#, step=stepper)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The $\\mu$ now becomes a deterministic node, as it is fully known once we know the slope and intercept." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "//anaconda/envs/py3l/lib/python3.6/site-packages/matplotlib/axes/_base.py:3449: MatplotlibDeprecationWarning: \n", "The `ymin` argument was deprecated in Matplotlib 3.0 and will be removed in 3.2. Use `bottom` instead.\n", " alternative='`bottom`', obj_type='argument')\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.traceplot(tracehm2);" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.autocorrplot(tracehm2);" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.9819, 0.9819, 0.9819)" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "acceptance(tracehm2, 'intercept'), acceptance(tracehm2, 'slope'), acceptance(tracehm2, 'sigma')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Oops, what happened here? Our correlations are horrendous and the traces look awful. Our acceptance rates dont seem to be at fault." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Centering to remove correlation : identifying information in our parameters.\n", "\n", "The slope and intercept are very highly correlated:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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interceptslopesigma
0115.6915980.8666685.307530
1116.2026320.8499615.589300
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3111.8191250.9503374.797791
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" ], "text/plain": [ " intercept slope sigma\n", "0 115.691598 0.866668 5.307530\n", "1 116.202632 0.849961 5.589300\n", "2 115.478307 0.871079 5.464947\n", "3 111.819125 0.950337 4.797791\n", "4 112.943324 0.918542 5.034075" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hm2df=pm.trace_to_dataframe(tracehm2)\n", "hm2df.head()" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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interceptslopesigma
intercept1.000000-0.990003-0.002185
slope-0.9900031.0000000.002087
sigma-0.0021850.0020871.000000
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" ], "text/plain": [ " intercept slope sigma\n", "intercept 1.000000 -0.990003 -0.002185\n", "slope -0.990003 1.000000 0.002087\n", "sigma -0.002185 0.002087 1.000000" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hm2df.corr()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Indeed they are amost perfectly negatively correlated, the intercept compensating for the slope and vice-versa. This means that the two parameters carry the same information, and we have some kind of identifiability problem. We shall see more such problems as this course progresses.\n", "\n", "We'll fix this here by centering our data. Lets subtract the mean of our weight variable." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (2 chains in 2 jobs)\n", "NUTS: [sigma, slope, intercept]\n", "Sampling 2 chains: 100%|██████████| 21000/21000 [00:12<00:00, 1673.38draws/s]\n" ] } ], "source": [ "with pm.Model() as hm2c:\n", " intercept = pm.Normal('intercept', mu=150, sd=100)\n", " slope = pm.Normal('slope', mu=0, sd=10)\n", " sigma = pm.Uniform('sigma', lower=0, upper=50)\n", " # below is a deterministic\n", " #mu = intercept + slope * (df2.weight -df2.weight.mean())\n", " mu = pm.Deterministic('mu', intercept + slope * (df2.weight -df2.weight.mean()))\n", " height = pm.Normal('height', mu=mu, sd=sigma, observed=df2.height)\n", " #stepper=pm.Metropolis()\n", " tracehm2c = pm.sample(10000)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice we are now explicitly modelling $\\mu$ as a deterministic. This means that it will be added into our traceplots." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "//anaconda/envs/py3l/lib/python3.6/site-packages/matplotlib/axes/_base.py:3449: MatplotlibDeprecationWarning: \n", "The `ymin` argument was deprecated in Matplotlib 3.0 and will be removed in 3.2. Use `bottom` instead.\n", " alternative='`bottom`', obj_type='argument')\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.traceplot(tracehm2c);" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.autocorrplot(tracehm2c, varnames=['intercept', 'slope', 'sigma']);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Everything is kosher now! What just happened?\n", "\n", "The intercept is now the expected value of the outcome when the predictor is at its mean. This means we have removed any dependence from the baseline value of the predictor." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Posteriors and Predictives\n", "\n", "We can now plot the posterior means directly. We take the traces on the $mu$s and find each ones mean, and plot them" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(df2.weight, df2.height, 'o', label=\"data\")\n", "#plt.plot(df2.weight, tr2c['intercept'].mean() + tr2c['slope'].mean() * (df2.weight - df2.weight.mean()), label=\"posterior mean\")\n", "plt.plot(df2.weight, tracehm2c['mu'].mean(axis=0), label=\"posterior mean\")\n", "plt.xlabel(\"Weight\")\n", "plt.ylabel(\"Height\")\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "However, by including the $\\mu$ as a deterministic in our traces we only get to see the traces at existing data points. If we want the traces on a grid of weights, we'll have to explivitly plug in the intercept and slope traces in the regression formula" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "meanweight = df2.weight.mean()\n", "weightgrid = np.arange(25, 71)\n", "mu_pred = np.zeros((len(weightgrid), 2*len(tracehm2c)))\n", "for i, w in enumerate(weightgrid):\n", " mu_pred[i] = tracehm2c['intercept'] + tracehm2c['slope'] * (w - meanweight)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see what the posterior density (on $\\mu$) looks like at a given x (weight)." ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.kdeplot(mu_pred[30]);\n", "plt.title(\"posterior density at weight {}\".format(weightgrid[30]));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And we can create a plot of the posteriors using the HPD(Highest Posterior density interval) at each point on the grid." ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "mu_mean = mu_pred.mean(axis=1)\n", "mu_hpd = pm.hpd(mu_pred.T)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(df2.weight, df2.height, c='b', alpha=0.3)\n", "plt.plot(weightgrid, mu_mean, 'r')\n", "plt.fill_between(weightgrid, mu_hpd[:,0], mu_hpd[:,1], color='r', alpha=0.5)\n", "plt.xlabel('weight')\n", "plt.ylabel('height')\n", "plt.xlim([weightgrid[0], weightgrid[-1]]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looks like our posterior $\\mu$s are very tight. Why then is there such spread in the data?" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[height]" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hm2c.observed_RVs # these are the likelihoods" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The posterior predictive\n", "\n", "Remember that the traces for each $\\mu \\vert x$ are traces of the \"deterministic\" parameter $\\mu$ at a given x. These are not traces of $y \\vert x$s, or heights, but rather, traces of the expected-height at a given x.\n", "\n", "Remember that we need to smear the posterior out with the sampling distribution to get the posterior predictive.\n", "\n", "`pymc3` makes this particularly simple for us, atleast at the points where we have data. We simply use the `pm.sample_ppc` function" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 1000/1000 [00:02<00:00, 366.40it/s]\n" ] } ], "source": [ "postpred = pm.sample_ppc(tracehm2c, 1000, hm2c)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that these are at the 352 points where we have weights." ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1000, 352)" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "postpred['height'].shape" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": true }, "outputs": [], "source": [ "postpred_means = postpred['height'].mean(axis=0)" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": true }, "outputs": [], "source": [ "postpred_hpd = pm.hpd(postpred['height'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now when we plot the posterior predictives, we see that the error bars are much larger." ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(df2.weight, df2.height, '.', c='b', alpha=0.2)\n", "plt.plot(weightgrid, mu_mean, 'r')\n", "plt.fill_between(weightgrid, mu_hpd[:,0], mu_hpd[:,1], color='r', alpha=0.5)\n", "yerr=[postpred_means - postpred_hpd[:,0], postpred_hpd[:,1] - postpred_means] \n", "plt.errorbar(df2.weight, postpred_means, yerr=yerr, fmt='--.', c='g', alpha=0.1, capthick=3)\n", "plt.xlabel('weight')\n", "plt.ylabel('height')\n", "plt.xlim([weightgrid[0], weightgrid[-1]]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "But we would like the posterior predictive at more than those 352 points...so here is the strategy we employ...\n", "\n", "If we want 1000 samples (at each x) we, for each such sample, choose one of the posterior samples randomly, with replacement. We then get `gridsize` mus and one sigma from this posterior, which we then use to sample `gridsize` $y$'s from the likelihood. This gives us 1000 $\\times$ `gridsize` posterior predictives.\n", "\n", "We have seen elsewhere how to do this using theano shared variables." ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "20000" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "2*len(tracehm2c)" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [], "source": [ "n_ppredsamps=1000\n", "weightgrid = np.arange(25, 71)\n", "meanweight = df2.weight.mean()\n", "ppc_samples=np.zeros((len(weightgrid), n_ppredsamps))\n", "\n", "for j in range(n_ppredsamps):\n", " k=np.random.randint(2*len(tracehm2c))#samples with replacement\n", " musamps = tracehm2c['intercept'][k] + tracehm2c['slope'][k] * (weightgrid - meanweight)\n", " sigmasamp = tracehm2c['sigma'][k]\n", " ppc_samples[:,j] = np.random.normal(musamps, sigmasamp)" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "collapsed": true }, "outputs": [], "source": [ "ppc_samples_hpd = pm.hpd(ppc_samples.T)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And now we can plot using `fill_between`." ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(df2.weight, df2.height, c='b', alpha=0.9)\n", "plt.plot(weightgrid, mu_mean, 'r')\n", "plt.fill_between(weightgrid, mu_hpd[:,0], mu_hpd[:,1], color='r', alpha=0.5)\n", "plt.fill_between(weightgrid, ppc_samples_hpd[:,0], ppc_samples_hpd[:,1], color='green', alpha=0.2)\n", "\n", "\n", "plt.xlabel('weight')\n", "plt.ylabel('height')\n", "plt.xlim([weightgrid[0], weightgrid[-1]]);" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array([ 166.50141684, 187.72522616]), array([ 146.2291342 , 165.95145207]))" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ppc_samples_hpd[-1], ppc_samples_hpd[22]" ] } ], "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": "3.6.1" } }, "nbformat": 4, "nbformat_minor": 2 }