{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# GLM: Poisson Regression\n", "\n", "## A minimal reproducable example of poisson regression to predict counts using dummy data.\n", "\n", "This Notebook is basically an excuse to demo poisson regression using PyMC3, both manually and using the `glm` library to demo interactions using the `patsy` library. We will create some dummy data, poisson distributed according to a linear model, and try to recover the coefficients of that linear model through inference.\n", "\n", "For more statistical detail see:\n", "\n", "+ Basic info on [Wikipedia](https://en.wikipedia.org/wiki/Poisson_regression)\n", "+ GLMs: Poisson regression, exposure, and overdispersion in Chapter 6.2 of [ARM, Gelmann & Hill 2006](http://www.stat.columbia.edu/%7Egelman/arm/)\n", "+ This worked example from ARM 6.2 by [Clay Ford](http://www.clayford.net/statistics/poisson-regression-ch-6-of-gelman-and-hill/)\n", "\n", "This very basic model is insipired by [a project by Ian Osvald](http://ianozsvald.com/2016/05/07/statistically-solving-sneezes-and-sniffles-a-work-in-progress-report-at-pydatalondon-2016/), which is concerend with understanding the various effects of external environmental factors upon the allergic sneezing of a test subject.\n", "\n", "\n", "## Contents\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", "\n", "## Package Requirements (shown as a conda-env YAML):\n", "```\n", "$> less conda_env_pymc3_examples.yml\n", "\n", "name: pymc3_examples\n", "channels:\n", " - defaults\n", "dependencies:\n", " - python=3.5\n", " - jupyter\n", " - ipywidgets\n", " - numpy\n", " - scipy\n", " - matplotlib\n", " - pandas\n", " - pytables\n", " - scikit-learn\n", " - statsmodels\n", " - seaborn\n", " - patsy\n", " - requests\n", " - pip\n", " - pip:\n", " - regex \n", "\n", "$> 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", "\n", "```\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setup" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "## Interactive magics\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import sys\n", "import warnings\n", "warnings.filterwarnings('ignore')\n", "\n", "import 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", "\n", "\n", "sns.set(style=\"darkgrid\", palette=\"muted\")\n", "pd.set_option('display.mpl_style', 'default')\n", "plt.rcParams['figure.figsize'] = 14, 6\n", "np.random.seed(0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Local Functions" ] }, { "cell_type": "code", "execution_count": 3, "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", "\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": "markdown", "metadata": {}, "source": [ "This dummy dataset is created to emulate some data created as part of a study into quantified self, and the real data is more complicated than this. Ask Ian Osvald if you'd like to know more https://twitter.com/ianozsvald\n", "\n", "\n", "### Assumptions:\n", "\n", "+ The subject sneezes N times per day, recorded as `nsneeze (int)`\n", "+ The subject may or may not drink alcohol during that day, recorded as `alcohol (boolean)`\n", "+ The subject may or may not take an antihistamine medication during that day, recorded as the negative action `nomeds (boolean)`\n", "+ I postulate (probably incorrectly) that sneezing occurs at some baseline rate, which increases if an antihistamine is not taken, and further increased after alcohol is consumed.\n", "+ The data is aggegated per day, to yield a total count of sneezes on that day, with a boolean flag for alcohol and antihistamine usage, with the big assumption that nsneezes have a direct causal relationship." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Create 4000 days of data: daily counts of sneezes which are poisson distributed w.r.t alcohol consumption and antihistamine usage**" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# decide poisson theta values\n", "theta_noalcohol_meds = 1 # no alcohol, took an antihist\n", "theta_alcohol_meds = 3 # alcohol, took an antihist\n", "theta_noalcohol_nomeds = 6 # no alcohol, no antihist\n", "theta_alcohol_nomeds = 36 # alcohol, no antihist\n", "\n", "# create samples\n", "q = 1000\n", "df = pd.DataFrame({\n", " 'nsneeze': np.concatenate((np.random.poisson(theta_noalcohol_meds, q),\n", " np.random.poisson(theta_alcohol_meds, q),\n", " np.random.poisson(theta_noalcohol_nomeds, q), \n", " np.random.poisson(theta_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": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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" ], "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": [ "### Briefly Describe Dataset" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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ry4NZbm6uJKmmpkbLly/XpEmT1NzcrLy8PElSaWmp3G532Oevr6+3dT7U+wAA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\nBgAAAAAJ1mX/wTQAAABwMZleUuW5/dk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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "g = sns.factorplot(x='nsneeze', row='nomeds', col='alcohol', data=df,\n", " kind='count', size=4, aspect=1.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Observe:**\n", "\n", "+ This looks a lot like poisson-distributed count data (because it is)\n", "+ With `nomeds == False` and `alcohol == False` (top-left, akak antihistamines WERE used, alcohol was NOT drunk) the mean of the poisson distribution of sneeze counts is low.\n", "+ Changing `alcohol == True` (top-right) increases the sneeze count `nsneeze` slightly\n", "+ Changing `nomeds == True` (lower-left) increases the sneeze count `nsneeze` further\n", "+ Changing both `alcohol == True and nomeds == True` (lower-right) increases the sneeze count `nsneeze` a lot, increasing both the mean and variance." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Poisson Regression" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Our model here is a very simple Poisson regression, allowing for interaction of terms:\n", "\n", "$$ \\theta = exp(\\beta X)$$\n", "\n", "$$ Y_{sneeze\\_count} ~ Poisson(\\theta)$$\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Create linear model for interaction of terms**" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "fml = 'nsneeze ~ alcohol + antihist + alcohol:antihist' # full patsy formulation" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [ "fml = 'nsneeze ~ alcohol * nomeds' # lazy, alternative patsy formulation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 1. Manual method, create design matrices and manually specify model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Create Design Matrices**" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [], "source": [ "(mx_en, mx_ex) = pt.dmatrices(fml, df, return_type='dataframe', NA_action='raise')" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " Intercept alcohol[T.True] nomeds[T.True] \\\n", "0 1.0 0.0 0.0 \n", "1 1.0 0.0 0.0 \n", "2 1.0 0.0 0.0 \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", "0 0.0 \n", "1 0.0 \n", "2 0.0 \n", "3997 1.0 \n", "3998 1.0 \n", "3999 1.0 " ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pd.concat((mx_ex.head(3),mx_ex.tail(3)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Create Model**" ] }, { "cell_type": "code", "execution_count": 12, "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", " theta = (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(theta), observed=mx_en['nsneeze'].values)\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Sample Model**" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using ADVI...\n", "Average Loss = 8,741.9: 17%|█▋ | 33556/200000 [00:07<00:37, 4436.96it/s]\n", "Convergence archived at 34000\n", "Interrupted at 34,000 [17%]: Average Loss = 12,493\n", "100%|██████████| 2000/2000 [00:53<00:00, 37.07it/s]\n" ] } ], "source": [ "with mdl_fish:\n", " trc_fish = pm.sample(2000, tune=1000, njobs=4)[1000:]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**View Diagnostics**" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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KPFw6vZofvvd07rtsKoVela893cyn/lrPurqpnP67HzHnf+8ksmYTL559JY3f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bzVJffArfT5ylXD6PP+fTVeoh7X7/DWh/nUF45DRmh0t0YD/1yhn69+wmWyqSyebwl1x6X3st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\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hfPpbTYeFEEy//Dp+9bkHuP23f4fPfPLP+dI9/8BP/8h72Dz2n9MX6QL+bSwtLTE3N8cl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\nBYKBFHhs2TDCjmiSt/d38dKudh5q6mV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"text/plain": [ "" ] }, "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, varnames=rvs_fish)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Observe:**\n", "\n", "+ The model converges quickly and traceplots looks pretty well mixed" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Transform coeffs and recover theta values" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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meanhpd_2.5hpd_97.5
b0_intercept1.0191150.9605881.084479
b1_alcohol[T.True]2.8831672.6779783.083394
b2_nomeds[T.True]5.7555845.4043326.166625
b3_alcohol[T.True]:nomeds[T.True]2.1223131.9608572.285519
\n", "
" ], "text/plain": [ " mean hpd_2.5 hpd_97.5\n", "b0_intercept 1.019115 0.960588 1.084479\n", "b1_alcohol[T.True] 2.883167 2.677978 3.083394\n", "b2_nomeds[T.True] 5.755584 5.404332 6.166625\n", "b3_alcohol[T.True]:nomeds[T.True] 2.122313 1.960857 2.285519" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.exp(pm.df_summary(trc_fish, varnames=rvs_fish)[['mean','hpd_2.5','hpd_97.5']])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Observe:**\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): mean=1.02 cr=[0.96, 1.08] \n", " \n", " Roughly linear baseline count when no alcohol and meds, as per the generated data: \n", "\n", " theta_noalcohol_meds = 1 (as set above)\n", " theta_noalcohol_meds = exp(b0_intercept) \n", " = 1\n", "\n", "\n", " 2. exp(b1_alcohol): mean=2.88 cr=[2.69, 3.09]\n", " \n", " non-zero positive effect of adding alcohol, a ~3x multiplier of \n", " baseline sneeze count, as per the generated data: \n", "\n", " theta_alcohol_meds = 3 (as set above)\n", " theta_alcohol_meds = exp(b0_intercept + b1_alcohol) \n", " = exp(b0_intercept) * exp(b1_alcohol) \n", " = 1 * 3 = 3\n", "\n", "\n", " 3. exp(b2_nomeds[T.True]): mean=5.76 cr=[5.40, 6.17] \n", " \n", " larger, non-zero positive effect of adding nomeds, a ~6x multiplier of \n", " baseline sneeze count, as per the generated data: \n", "\n", " theta_noalcohol_nomeds = 6 (as set above)\n", " theta_noalcohol_nomeds = exp(b0_intercept + b2_nomeds)\n", " = exp(b0_intercept) * exp(b2_nomeds) \n", " = 1 * 6 = 6\n", " \n", " \n", " 4. exp(b3_alcohol[T.True]:nomeds[T.True]): mean=2.12 cr=[1.98, 2.30]\n", " \n", " small, positive interaction effect of alcohol and meds, a ~2x multiplier of \n", " baseline sneeze count, as per the generated data: \n", "\n", " theta_alcohol_nomeds = 36 (as set above)\n", " theta_alcohol_nomeds = exp(b0_intercept + b1_alcohol + b2_nomeds + b3_alcohol:nomeds)\n", " = exp(b0_intercept) * exp(b1_alcohol) * exp(b2_nomeds * b3_alcohol:nomeds)\n", " = 1 * 3 * 6 * 2 = 36\n", " \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2. Alternative method, using `pymc.glm`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Create Model**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Alternative automatic formulation using `pmyc.glm`**" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [], "source": [ "with pm.Model() as mdl_fish_alt:\n", " \n", " pm.glm.GLM.from_formula(fml, df, family=pm.glm.families.Poisson())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Sample Model**" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using ADVI...\n", "Average Loss = 8,752.5: 36%|███▋ | 72995/200000 [00:28<00:48, 2645.19it/s]\n", "Convergence archived at 73000\n", "Interrupted at 73,000 [36%]: Average Loss = 10,558\n", "100%|██████████| 4000/4000 [00:59<00:00, 67.09it/s]\n" ] } ], "source": [ "with mdl_fish_alt:\n", " trc_fish_alt = pm.sample(4000, tune=2000)[2000:]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**View Traces**" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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GfX19rUWadA4MJdEXy2J5s7NIgZb1mma3RVL6xEK4oKKw6HQfUQQOj0gKojwb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6jX5V8IIQ/p30o4GYdvfRQw89hP3798Pr9Ub8EQiDCW+Qw2s/2HD92/vg9IXwzKWj8R/Tiolx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\nxUqUZMRESqOyFRMl+CNKkbPxWs2RqgiOnawzgJaWFqxatQpms1m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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rvs_fish_alt = [rv.name for rv in strip_derived_rvs(mdl_fish_alt.unobserved_RVs)]\n", "plot_traces_pymc(trc_fish_alt, varnames=rvs_fish_alt)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Transform coeffs" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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meanhpd_2.5hpd_97.5
Intercept1.018166e+000.9582671.081268e+00
alcohol[T.True]2.884562e+002.6955483.099807e+00
nomeds[T.True]5.757993e+005.3982466.140422e+00
alcohol[T.True]:nomeds[T.True]2.122279e+001.9721422.298126e+00
mu2.328724e+351.0022328.016059e+66
\n", "
" ], "text/plain": [ " mean hpd_2.5 hpd_97.5\n", "Intercept 1.018166e+00 0.958267 1.081268e+00\n", "alcohol[T.True] 2.884562e+00 2.695548 3.099807e+00\n", "nomeds[T.True] 5.757993e+00 5.398246 6.140422e+00\n", "alcohol[T.True]:nomeds[T.True] 2.122279e+00 1.972142 2.298126e+00\n", "mu 2.328724e+35 1.002232 8.016059e+66" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.exp(pm.df_summary(trc_fish_alt, varnames=rvs_fish_alt)[['mean','hpd_2.5','hpd_97.5']])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Observe:**\n", "\n", "+ The traceplots look well mixed\n", "+ The transformed model coeffs look moreorless the same as those generated by the manual model\n", "+ Note also that the `mu` coeff is for the overall mean of the dataset and has an extreme skew, if we look at the median value ..." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([ 4.04931927, 9.77667856, 23.27432728])" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.percentile(trc_fish_alt['mu'], [25,50,75])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "... of 9.45 with a range [25%, 75%] of [4.17, 24.18], we see this is pretty close to the overall mean of:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "11.42775" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df['nsneeze'].mean()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "Example originally contributed by Jonathan Sedar 2016-05-15 [github.com/jonsedar](https://github.com/jonsedar)" ] } ], "metadata": { "anaconda-cloud": {}, "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": "3.6.0" }, "latex_envs": { "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 0 } }, "nbformat": 4, "nbformat_minor": 0 }