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@jonsedar
Last active November 29, 2020 03:03
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An excuse to demo Poisson Regression in PyMC3 and PyStan
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 80_PoissonRegressionDemo\n",
"\n",
"#### Tiny investigation into Possion regression upon count data\n",
"\n",
" \n",
"+ [Setup](#Setup)\n",
" + [Local Functions](#Local-Functions)\n",
" + [Generate Data](#Generate-Data)\n",
"\n",
"\n",
"+ [Poisson Regression](#Poisson-Regression)\n",
" + [Create Design Matrices](#Create-Design-Matrices)\n",
" + [Create Model](#Create-Model)\n",
" + [Sample Model](#Sample-Model)\n",
" + [View Diagnostics and Outputs](#View-Diagnostics-and-Outputs)\n",
"\n",
"\n",
"##### Package Requirements\n",
"```\n",
"$> less conda_env_pymc3_examples.yml\n",
"\n",
"name: pymc3_examples\n",
" channels:\n",
" - defaults\n",
" dependencies:\n",
" - python=3.5\n",
" - jupyter\n",
" - numpy\n",
" - scipy\n",
" - matplotlib\n",
" - pandas\n",
" - seaborn\n",
" - patsy \n",
" - pip\n",
" - pip:\n",
" - regex\n",
" - Cython\n",
" - pystan\n",
"\n",
"$> conda env create --file conda_env_pymc3_examples.yml\n",
"$> source activate pymc3_examples\n",
"$> pip install --process-dependency-links git+https://github.com/pymc-devs/pymc3\n",
"```"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Setup"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"## Interactive magics\n",
"%matplotlib inline\n",
"%qtconsole --colors=linux"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import sys\n",
"import warnings\n",
"warnings.filterwarnings('ignore')\n",
"\n",
"import regex as re\n",
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"import patsy as pt\n",
"from scipy import optimize\n",
"\n",
"# pymc3 libraries\n",
"import pymc3 as pm\n",
"import theano as thno\n",
"import theano.tensor as T \n",
"import pystan\n",
"\n",
"sns.set(style=\"darkgrid\", palette=\"muted\")\n",
"pd.set_option('display.mpl_style', 'default')\n",
"plt.rcParams['figure.figsize'] = 12, 4\n",
"np.random.seed(0)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### What versions are we running?"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Python: 3.5.1 |Continuum Analytics, Inc.| (default, Dec 7 2015, 11:24:55) \n",
"[GCC 4.2.1 (Apple Inc. build 5577)]\n",
"Recursion limit 10000\n",
"theano: 0.8.1\n",
"PyMC3: 3.0\n",
"PyStan: 2.9.0.0\n"
]
}
],
"source": [
"print('Python: {}'.format(sys.version))\n",
"print('Recursion limit {}'.format(sys.getrecursionlimit()))\n",
"print('theano: {}'.format(thno.__version__))\n",
"print('PyMC3: {}'.format(pm.__version__))\n",
"print('PyStan: {}'.format(pystan.__version__))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Local Functions"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def strip_derived_rvs(rvs):\n",
" '''Convenience fn: remove PyMC3-generated RVs from a list'''\n",
" ret_rvs = []\n",
" for rv in rvs:\n",
" if not (re.search('_log',rv.name) or re.search('_interval',rv.name)):\n",
" ret_rvs.append(rv) \n",
" return ret_rvs\n",
"\n",
"def plot_traces_pymc(trcs, varnames=None):\n",
" ''' Convenience fn: plot traces with overlaid means and values '''\n",
"\n",
" nrows = len(trcs.varnames)\n",
" if varnames is not None:\n",
" nrows = len(varnames)\n",
" \n",
" ax = pm.traceplot(trcs, varnames=varnames, figsize=(12,nrows*1.4),\n",
" lines={k: v['mean'] for k, v in \n",
" pm.df_summary(trcs,varnames=varnames).iterrows()})\n",
"\n",
" for i, mn in enumerate(pm.df_summary(trcs, varnames=varnames)['mean']):\n",
" ax[i,0].annotate('{:.2f}'.format(mn), xy=(mn,0), xycoords='data',\n",
" xytext=(5,10), textcoords='offset points', rotation=90,\n",
" va='bottom', fontsize='large', color='#AA0022') "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Generate Data"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"## sneezes get worse with booze whilst also no antihist\n",
"# note structured dataframe with nomeds as feature \n",
"# so that alcohol == True & nomeds == True -> worst outcome\n",
"\n",
"noalcohol_meds = 1 # no booze, took an antihist\n",
"alcohol_meds = 3 # booze, took an antihist\n",
"noalcohol_nomeds = 6 # no booze, no antihist\n",
"alcohol_nomeds = 36 # booze, no antihist\n",
"\n",
"q = 1000\n",
"df = pd.DataFrame({\n",
" 'nsneeze': np.concatenate((np.random.poisson(noalcohol_meds, q),\n",
" np.random.poisson(alcohol_meds, q),\n",
" np.random.poisson(noalcohol_nomeds, q), \n",
" np.random.poisson(alcohol_nomeds, q))),\n",
" 'alcohol': np.concatenate((np.repeat(False, q),\n",
" np.repeat(True, q),\n",
" np.repeat(False, q),\n",
" np.repeat(True, q))),\n",
" 'nomeds': np.concatenate((np.repeat(False, q),\n",
" np.repeat(False, q),\n",
" np.repeat(True, q),\n",
" np.repeat(True, q)))})"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr>\n",
" <th></th>\n",
" <th colspan=\"2\" halign=\"left\">nsneeze</th>\n",
" </tr>\n",
" <tr>\n",
" <th>nomeds</th>\n",
" <th>False</th>\n",
" <th>True</th>\n",
" </tr>\n",
" <tr>\n",
" <th>alcohol</th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>False</th>\n",
" <td>1.018</td>\n",
" <td>5.866</td>\n",
" </tr>\n",
" <tr>\n",
" <th>True</th>\n",
" <td>2.938</td>\n",
" <td>35.889</td>\n",
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"</table>\n",
"</div>"
],
"text/plain": [
" nsneeze \n",
"nomeds False True \n",
"alcohol \n",
"False 1.018 5.866\n",
"True 2.938 35.889"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.groupby(['alcohol','nomeds']).mean().unstack()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### Describe Dataset"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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WLpdL5eXlMsbI5XKppqZGbre77eaTHWpoNpZskTWHQz0yMs744wJw9spgTgDQhpiHowUL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\nCSGEEEI4+P/EP3amFNUk3QAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11a962f28>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"g = sns.factorplot(x='nsneeze', row='nomeds', col='alcohol', data=df,\n",
" kind='count', size=4)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Poisson Regression (PyMC3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Create Design Matrices"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Intercept</th>\n",
" <th>alcohol[T.True]</th>\n",
" <th>nomeds[T.True]</th>\n",
" <th>alcohol[T.True]:nomeds[T.True]</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>1.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>1.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>1.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>1.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>1.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Intercept alcohol[T.True] nomeds[T.True] alcohol[T.True]:nomeds[T.True]\n",
"0 1.0 0.0 0.0 0.0\n",
"1 1.0 0.0 0.0 0.0\n",
"2 1.0 0.0 0.0 0.0\n",
"3 1.0 0.0 0.0 0.0\n",
"4 1.0 0.0 0.0 0.0"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"## fml = 'nsneeze ~ alcohol + antihist + alcohol:antihist' # alt formualtion\n",
"fml = 'nsneeze ~ alcohol * nomeds' # lazy formulation\n",
"(mx_en, mx_ex) = pt.dmatrices(fml, df, return_type='dataframe', NA_action='raise')\n",
"mx_ex.head()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Intercept</th>\n",
" <th>alcohol[T.True]</th>\n",
" <th>nomeds[T.True]</th>\n",
" <th>alcohol[T.True]:nomeds[T.True]</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>3995</th>\n",
" <td>1.0</td>\n",
" <td>1.0</td>\n",
" <td>1.0</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3996</th>\n",
" <td>1.0</td>\n",
" <td>1.0</td>\n",
" <td>1.0</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3997</th>\n",
" <td>1.0</td>\n",
" <td>1.0</td>\n",
" <td>1.0</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3998</th>\n",
" <td>1.0</td>\n",
" <td>1.0</td>\n",
" <td>1.0</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3999</th>\n",
" <td>1.0</td>\n",
" <td>1.0</td>\n",
" <td>1.0</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Intercept alcohol[T.True] nomeds[T.True] \\\n",
"3995 1.0 1.0 1.0 \n",
"3996 1.0 1.0 1.0 \n",
"3997 1.0 1.0 1.0 \n",
"3998 1.0 1.0 1.0 \n",
"3999 1.0 1.0 1.0 \n",
"\n",
" alcohol[T.True]:nomeds[T.True] \n",
"3995 1.0 \n",
"3996 1.0 \n",
"3997 1.0 \n",
"3998 1.0 \n",
"3999 1.0 "
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"mx_ex.tail()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Create Model"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"with pm.Model() as mdl_fish:\n",
" \n",
" # define priors, weakly informative Normal\n",
" b0 = pm.Normal('b0_intercept', mu=0, sd=10)\n",
" b1 = pm.Normal('b1_alcohol[T.True]', mu=0, sd=10)\n",
" b2 = pm.Normal('b2_nomeds[T.True]', mu=0, sd=10)\n",
" b3 = pm.Normal('b3_alcohol[T.True]:nomeds[T.True]', mu=0, sd=10)\n",
" \n",
" # define linear model and exp link function\n",
" mu = (b0 +\n",
" b1 * mx_ex['alcohol[T.True]'] +\n",
" b2 * mx_ex['nomeds[T.True]'] +\n",
" b3 * mx_ex['alcohol[T.True]:nomeds[T.True]']) \n",
"\n",
" ## Define Poisson likelihood \n",
" y = pm.Poisson('y', mu=np.exp(mu), observed=mx_en['nsneeze'].values)\n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### Alternative automatic formulation using `pmyc.glm`"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"## Not used since it adds log link function, I thought link fn should be exp\n",
"\n",
"# with pm.Model() as mdl_fish:\n",
" \n",
"# pm.glm.glm(fml, df, family=pm.glm.families.Poisson())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Sample Model"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" [-----------------100%-----------------] 2000 of 2000 complete in 27.6 sec"
]
}
],
"source": [
"with mdl_fish:\n",
" \n",
" start_MAP = pm.find_MAP(fmin=optimize.fmin_powell)\n",
" trc_fish = pm.sample(2000, start=start_MAP, njobs=2, step=pm.NUTS())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## View Diagnostics and Outputs"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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hL9Gj4b9v6uTq85Zx2w+e5ZcH6nz0VWfTmT422qxoPr8weMMb3oDneXR3d3PF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0nwXRAI+jMhRWPLIQ8XjMnu66x0inAoisFgwNzGwO5ARNf1AedCkbKCtWHDBmbPnp2074MP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\nRK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x122657470>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"rvs_fish = [rv.name for rv in strip_derived_rvs(mdl_fish.unobserved_RVs)]\n",
"plot_traces_pymc(trc_fish[-1000:], varnames=rvs_fish)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### Summary of coeffs"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>mean</th>\n",
" <th>sd</th>\n",
" <th>mc_error</th>\n",
" <th>hpd_2.5</th>\n",
" <th>hpd_97.5</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>b0_intercept</th>\n",
" <td>0.017961</td>\n",
" <td>0.029258</td>\n",
" <td>0.001364</td>\n",
" <td>-0.035277</td>\n",
" <td>0.081063</td>\n",
" </tr>\n",
" <tr>\n",
" <th>b1_alcohol[T.True]</th>\n",
" <td>1.060254</td>\n",
" <td>0.033685</td>\n",
" <td>0.001596</td>\n",
" <td>0.997563</td>\n",
" <td>1.135221</td>\n",
" </tr>\n",
" <tr>\n",
" <th>b2_nomeds[T.True]</th>\n",
" <td>1.750669</td>\n",
" <td>0.031645</td>\n",
" <td>0.001452</td>\n",
" <td>1.684375</td>\n",
" <td>1.809248</td>\n",
" </tr>\n",
" <tr>\n",
" <th>b3_alcohol[T.True]:nomeds[T.True]</th>\n",
" <td>0.751575</td>\n",
" <td>0.036019</td>\n",
" <td>0.001677</td>\n",
" <td>0.676727</td>\n",
" <td>0.822474</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" mean sd mc_error hpd_2.5 \\\n",
"b0_intercept 0.017961 0.029258 0.001364 -0.035277 \n",
"b1_alcohol[T.True] 1.060254 0.033685 0.001596 0.997563 \n",
"b2_nomeds[T.True] 1.750669 0.031645 0.001452 1.684375 \n",
"b3_alcohol[T.True]:nomeds[T.True] 0.751575 0.036019 0.001677 0.676727 \n",
"\n",
" hpd_97.5 \n",
"b0_intercept 0.081063 \n",
"b1_alcohol[T.True] 1.135221 \n",
"b2_nomeds[T.True] 1.809248 \n",
"b3_alcohol[T.True]:nomeds[T.True] 0.822474 "
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pm.df_summary(trc_fish[-1000:], varnames=rvs_fish)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### Trasform coeffs to see proportional increase on count"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>mean</th>\n",
" <th>hpd_2.5</th>\n",
" <th>hpd_97.5</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>b0_intercept</th>\n",
" <td>1.018124</td>\n",
" <td>0.965338</td>\n",
" <td>1.084439</td>\n",
" </tr>\n",
" <tr>\n",
" <th>b1_alcohol[T.True]</th>\n",
" <td>2.887104</td>\n",
" <td>2.711665</td>\n",
" <td>3.111860</td>\n",
" </tr>\n",
" <tr>\n",
" <th>b2_nomeds[T.True]</th>\n",
" <td>5.758452</td>\n",
" <td>5.389080</td>\n",
" <td>6.105855</td>\n",
" </tr>\n",
" <tr>\n",
" <th>b3_alcohol[T.True]:nomeds[T.True]</th>\n",
" <td>2.120337</td>\n",
" <td>1.967427</td>\n",
" <td>2.276124</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" mean hpd_2.5 hpd_97.5\n",
"b0_intercept 1.018124 0.965338 1.084439\n",
"b1_alcohol[T.True] 2.887104 2.711665 3.111860\n",
"b2_nomeds[T.True] 5.758452 5.389080 6.105855\n",
"b3_alcohol[T.True]:nomeds[T.True] 2.120337 1.967427 2.276124"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.exp(pm.df_summary(trc_fish[-1000:], varnames=rvs_fish)[['mean','hpd_2.5','hpd_97.5']])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Observe \n",
"\n",
"+ Model converges quickly and traceplots looks pretty well mixed\n",
"\n",
"+ The contributions from each feature as a multiplier of the baseline sneezecount appear to be as per the data generation:\n",
" \n",
" \n",
" 1. exp(b0_intercept): mu=0.98 cr=[0.92, 1.03] \n",
" \n",
" Roughly linear baseline when no alcohol and meds\n",
" which is as per the generated data: noalcohol_meds = 1\n",
"\n",
"\n",
" 2. exp(b1_alcohol): mu=3.08 cr=[2.88, 3.30]\n",
" \n",
" non-zero positive effect of adding alcohol, \n",
" a 3.08x multiplier of baseline sneeze count\n",
" which is as per the generated data: noalcohol_meds * alcohol_meds = 1 * 3 = 3\n",
"\n",
"\n",
" 3. exp(b2_nomeds[T.True]): mu=6.07 cr=[5.68, 6.45] \n",
" \n",
" larger, non-zero positive effect of adding nomeds \n",
" a 6.07x multiplier of baseline sneeze count\n",
" which is as per the generated data: noalcohol_meds * noalcohol_nomeds = 1 * 6 = 6\n",
" \n",
" \n",
" 4. exp(b3_alcohol[T.True]:nomeds[T.True]): mu=1.97 cr=[1.83, 2.11]\n",
" \n",
" small, positive interaction effect of alcohol and meds\n",
" a 1.97x multiplier of baseline sneeze count\n",
" which is as per the generated data: \n",
" noalcohol_meds * alcohol_meds * \n",
" noalcohol_nomeds * alcohol_nomeds = 1 * 3 * 6 * 2 = 36\n",
" \n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**NOTES:**\n",
"\n",
"+ I think I have my logic correct\n",
"+ This is all wild hand-waving YMMV"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Additional Poisson Regression using PyStan for comparison"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Create Model"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### Define Input Dir"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"mdl_fish_stan_dict = {}\n",
"mdl_fish_stan_dict['N'] = mx_ex.shape[0]\n",
"mdl_fish_stan_dict['K'] = mx_ex.shape[1]\n",
"mdl_fish_stan_dict['X'] = mx_ex.values\n",
"mdl_fish_stan_dict['y'] = mx_en['nsneeze'].values.astype(np.int64)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### Define Model"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"mdl_fish_stan_spec = \"\"\"\n",
"\n",
" /* Spec for poisson regression model */\n",
"\n",
" data { \n",
" int<lower=0> N; // count of observations\n",
" int<lower=0> K; // count of exog features\n",
" matrix[N, K] X; // exog features\n",
" int<lower=0> y[N]; // endog feature (force int)\n",
" }\n",
" parameters {\n",
" vector[K] beta; // exog coeffs\n",
" }\n",
" transformed parameters {}\n",
" model {\n",
" y ~ poisson(exp(X * beta)); // poisson likelihood\n",
" }\n",
" generated quantities {}\n",
" \"\"\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Compile and sample"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"mdl_fish_stan_fit = pystan.stan(\n",
" model_code = mdl_fish_stan_spec,\n",
" data = mdl_fish_stan_dict,\n",
" model_name = 'mdl_fish_stan',\n",
" iter = 1000,\n",
" warmup = 750, \n",
" chains = 4, \n",
" n_jobs = 2, \n",
" verbose = False)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## View results"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### View traceplots"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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ALhRA5q0TZg1rlrXtLV4wggCjyTVYT/01mLhjb0Os/v5u5E6eBSsIromurmPy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Fgqam4WCidIur/XPp9JgUVfnEdcYHAzI6MzwmIiS+GubXFkZR2Kbrn+zT3dUdeIsq8nBsOyIDA0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\nRK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1238760f0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"mdl_fish_stan_fit.plot(pars='beta')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### View summary"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Inference for Stan model: mdl_fish_stan_e46a2b15bcfd401f576c0e4868c3e0b6.\n",
"4 chains, each with iter=1000; warmup=750; thin=1; \n",
"post-warmup draws per chain=250, total post-warmup draws=1000.\n",
"\n",
" mean se_mean sd 2.5% 25% 50% 75% 97.5% n_eff Rhat\n",
"beta[0] 0.02 2.9e-3 0.03 -0.04-3.5e-3 0.02 0.04 0.08 116 1.0\n",
"beta[1] 1.06 3.6e-3 0.04 0.99 1.03 1.06 1.08 1.13 96 1.0\n",
"beta[2] 1.75 3.1e-3 0.03 1.68 1.73 1.75 1.78 1.81 115 1.0\n",
"beta[3] 0.75 3.8e-3 0.04 0.68 0.73 0.75 0.78 0.83 97 1.0\n",
"lp__ 9.6e4 0.12 1.44 9.6e4 9.6e4 9.6e4 9.6e4 9.6e4 142 1.03\n",
"\n",
"Samples were drawn using NUTS(diag_e) at Mon May 2 10:58:10 2016.\n",
"For each parameter, n_eff is a crude measure of effective sample size,\n",
"and Rhat is the potential scale reduction factor on split chains (at \n",
"convergence, Rhat=1).\n"
]
}
],
"source": [
"print(mdl_fish_stan_fit)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### Extract results and transform"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"samples = mdl_fish_stan_fit.extract(permuted=True) # return a dict of arrays\n",
"dftrc_fish_stan = pd.DataFrame(samples['beta'],columns=mx_ex.columns.tolist())"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Intercept</th>\n",
" <th>alcohol[T.True]</th>\n",
" <th>nomeds[T.True]</th>\n",
" <th>alcohol[T.True]:nomeds[T.True]</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>count</th>\n",
" <td>inf</td>\n",
" <td>inf</td>\n",
" <td>inf</td>\n",
" <td>inf</td>\n",
" </tr>\n",
" <tr>\n",
" <th>mean</th>\n",
" <td>1.018398</td>\n",
" <td>2.877825</td>\n",
" <td>5.760774</td>\n",
" <td>2.125860</td>\n",
" </tr>\n",
" <tr>\n",
" <th>std</th>\n",
" <td>1.031475</td>\n",
" <td>1.035857</td>\n",
" <td>1.034184</td>\n",
" <td>1.038496</td>\n",
" </tr>\n",
" <tr>\n",
" <th>min</th>\n",
" <td>0.930029</td>\n",
" <td>2.562889</td>\n",
" <td>5.244244</td>\n",
" <td>1.896735</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2.5%</th>\n",
" <td>0.959789</td>\n",
" <td>2.685474</td>\n",
" <td>5.375359</td>\n",
" <td>1.971770</td>\n",
" </tr>\n",
" <tr>\n",
" <th>50%</th>\n",
" <td>1.018576</td>\n",
" <td>2.880671</td>\n",
" <td>5.760544</td>\n",
" <td>2.126583</td>\n",
" </tr>\n",
" <tr>\n",
" <th>97.5%</th>\n",
" <td>1.081818</td>\n",
" <td>3.089054</td>\n",
" <td>6.123589</td>\n",
" <td>2.288306</td>\n",
" </tr>\n",
" <tr>\n",
" <th>max</th>\n",
" <td>1.129220</td>\n",
" <td>3.197135</td>\n",
" <td>6.397263</td>\n",
" <td>2.370601</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Intercept alcohol[T.True] nomeds[T.True] \\\n",
"count inf inf inf \n",
"mean 1.018398 2.877825 5.760774 \n",
"std 1.031475 1.035857 1.034184 \n",
"min 0.930029 2.562889 5.244244 \n",
"2.5% 0.959789 2.685474 5.375359 \n",
"50% 1.018576 2.880671 5.760544 \n",
"97.5% 1.081818 3.089054 6.123589 \n",
"max 1.129220 3.197135 6.397263 \n",
"\n",
" alcohol[T.True]:nomeds[T.True] \n",
"count inf \n",
"mean 2.125860 \n",
"std 1.038496 \n",
"min 1.896735 \n",
"2.5% 1.971770 \n",
"50% 2.126583 \n",
"97.5% 2.288306 \n",
"max 2.370601 "
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.exp(dftrc_fish_stan.describe(percentiles=[.025,.975]))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Observe:**\n",
"\n",
"+ Cool, roughly the same results as above for PyMC3"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"**Applied AI Ltd &copy; 2016** \n",
"<a href='http://www.applied.ai'>applied.ai</a>"
]
}
],
"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": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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