{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# GLM: Model Selection\n", "\n", "\n", "**A fairly minimal reproducable example of Model Selection using DIC and WAIC.**\n", "\n", "+ This example creates two toy datasets under linear and quadratic models, and then tests the fit of a range of polynomial linear models upon those datasets by using the Deviance Information Criterion (DIC) and Watanabe - Akaike (or Widest Available) Information Criterion (WAIC).\n", "+ DIC (`stats.dic`) and WAIC (`stats.waic`) are new additions to PyMC3, so this example shows their usage in a more concrete fashion, also usage of the new `glm` submodule.\n", "+ The example was inspired by Jake Vanderplas' [recent blogpost](https://jakevdp.github.io/blog/2015/08/07/frequentism-and-bayesianism-5-model-selection/) on model selection, although in this first iteration, Cross-Validation and Bayes Factor comparison are not implemented.\n", "+ The datasets are tiny and generated within this Notebook. They contain errors in the measured value (y) only.\n", "\n", "\n", "For more information on Model Selection in PyMC3, and about DIC and WAIC, you could start with:\n", "\n", "+ Thomas Wiecki's [detailed response](https://stats.stackexchange.com/questions/161082/bayesian-model-selection-in-pymc3/166383#166383) to a question on Cross Validated\n", "+ The Deviance Information Criterion: 12 Years On [(Speigelhalter et al 2014)](http://onlinelibrary.wiley.com/doi/10.1111/rssb.12062/abstract)\n", "+ A Widely Applicable Bayesian Information Criterion [(Watanabe 2013)](http://www.jmlr.org/papers/volume14/watanabe13a/watanabe13a.pdf)\n", "+ Efficient Implementation of Leave-One-Out Cross-Validation and WAIC for Evaluating Fitted Bayesian Models [(Gelman et al 2015)](http://arxiv.org/abs/1507.04544)\n", "\n", "\n", "\n", "**Contents**\n", "\n", "+ [Setup](#Setup) \n", "+ [Generate Toy Datasets](#Generate-Toy-Datasets) \n", "+ [Demonstrate Simple Linear Model](#Demonstrate-Simple-Linear-Model)\n", "+ [Create Higher-Order Linear Models](#Create-Higher-Order-Linear-Models)\n", "+ [Compare Deviance Information Criterion (DIC)](#Compare-Deviance-Information-Criterion-[DIC])\n", "+ [Compare Watanabe-Akaike Information Criterion (WAIC)](#Compare-Watanabe---Akaike-Information-Criterion-[WAIC])\n", "\n", "\n", "\n", "**Note:**\n", "\n", "+ Python 3.4 project using latest available [PyMC3](https://github.com/pymc-devs/pymc3)\n", "+ Developed using [ContinuumIO Anaconda](https://www.continuum.io/downloads) distribution on a Macbook Pro 3GHz i7, 16GB RAM, OSX 10.10.5. \n", "+ Finally, if runs become unstable or Theano throws weird errors, try clearing the cache `$> theano-cache clear` and rerunning the notebook.\n", "\n", "\n", "**Package Requirements (shown as a conda-env YAML):**\n", "\n", "```\n", "$> less conda_env_pymc3_examples.yml\n", "\n", "name: pymc3_examples\n", " channels:\n", " - defaults\n", " dependencies:\n", " - python=3.4\n", " - ipython\n", " - ipython-notebook\n", " - ipython-qtconsole\n", " - numpy\n", " - scipy\n", " - matplotlib\n", " - pandas\n", " - seaborn\n", " - patsy \n", " - pip\n", "\n", "$> conda env create --file conda_env_pymc3_examples.yml\n", "\n", "$> source activate pymc3_examples\n", "\n", "$> pip install --process-dependency-links git+https://github.com/pymc-devs/pymc3\n", "\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setup" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "import warnings\n", "warnings.filterwarnings('ignore')" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from collections import OrderedDict\n", "from time import time\n", "\n", "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "\n", "from scipy.optimize import fmin_powell\n", "from scipy import integrate\n", "\n", "import pymc3 as pm\n", "import theano as thno\n", "import theano.tensor as T \n", "\n", "from IPython.html.widgets import interactive, fixed\n", "\n", "# configure some basic options\n", "sns.set(style=\"darkgrid\", palette=\"muted\")\n", "pd.set_option('display.notebook_repr_html', True)\n", "plt.rcParams['figure.figsize'] = 12, 8\n", "rndst = np.random.RandomState(0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Local Functions" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def generate_data(n=20, p=0, a=1, b=1, c=0, latent_sigma_y=20):\n", " ''' \n", " Create a toy dataset based on a very simple model that we might\n", " imagine is a noisy physical process:\n", " 1. random x values within a range\n", " 2. latent error aka inherent noise in y\n", " 3. optionally create labelled outliers with larger noise\n", "\n", " Model form: y ~ a + bx + cx^2 + e\n", " \n", " NOTE: latent_sigma_y is used to create a normally distributed,\n", " 'latent error' aka 'inherent noise' in the 'physical process' \n", " generating thses values, rather than experimental measurement error. \n", " Please don't use the returned `latent_error` values in inferential \n", " models, it's returned in e dataframe for interest only.\n", " '''\n", " \n", " df = pd.DataFrame({'x':rndst.choice(np.arange(100),n,replace=False)})\n", " \n", " ## create linear or quadratic model\n", " df['y'] = a + b*(df['x']) + c*(df['x'])**2 \n", "\n", " ## create latent noise and marked outliers\n", " df['latent_error'] = rndst.normal(0,latent_sigma_y,n)\n", " df['outlier_error'] = rndst.normal(0,latent_sigma_y*10,n)\n", " df['outlier'] = rndst.binomial(1,p,n)\n", " \n", " ## add noise, with extreme noise for marked outliers\n", " df['y'] += ((1-df['outlier']) * df['latent_error'])\n", " df['y'] += (df['outlier'] * df['outlier_error'])\n", " \n", " ## round\n", " for col in ['y','latent_error','outlier_error','x']:\n", " df[col] = np.round(df[col],3)\n", " \n", " ## add label\n", " df['source'] = 'linear' if c == 0 else 'quadratic'\n", " \n", " ## create simple linspace for plotting true model\n", " plotx = np.linspace(df['x'].min() - np.ptp(df['x'])*.1\n", " ,df['x'].max() + np.ptp(df['x'])*.1, 100)\n", " ploty = a + b*plotx + c*plotx**2\n", " dfp = pd.DataFrame({'x':plotx, 'y':ploty})\n", " \n", " return df, dfp\n", " \n", "\n", "def interact_dataset(n=20, p=0, a=-30, b=5, c=0, latent_sigma_y=20):\n", " ''' \n", " Convenience function:\n", " Interactively generate dataset and plot\n", " '''\n", " \n", " df, dfp = generate_data(n, p, a, b, c, latent_sigma_y)\n", "\n", " g = sns.FacetGrid(df, size=8, hue='outlier', hue_order=[True,False]\n", " ,palette=sns.color_palette('Set1'), legend_out=False)\n", "\n", " _ = g.map(plt.errorbar, 'x', 'y', 'latent_error', marker=\"o\"\n", " ,ms=10, mec='w', mew=2, ls='', elinewidth=0.7).add_legend()\n", "\n", " _ = plt.plot(dfp['x'], dfp['y'], '--', alpha=0.8)\n", "\n", " plt.subplots_adjust(top=0.92)\n", " _ = g.fig.suptitle('Sketch of Data Generation ({})'.format(df['source'][0])\n", " ,fontsize=16)\n", " \n", "\n", "def plot_datasets(df_lin, df_quad, dfp_lin, dfp_quad):\n", " '''\n", " Convenience function:\n", " Plot the two generated datasets in facets with generative model\n", " '''\n", " \n", " df = pd.concat((df_lin, df_quad), axis=0)\n", " dfp_lin, dfp_quad\n", " \n", " g = sns.FacetGrid(col='source', hue='source', data=df, size=6\n", " ,sharey=False, legend_out=False)\n", "\n", " _ = g.map(plt.scatter, 'x', 'y', alpha=0.7, s=100, lw=2, edgecolor='w')\n", "\n", " _ = g.axes[0][0].plot(dfp_lin['x'], dfp_lin['y'], '--', alpha=0.6)\n", " _ = g.axes[0][1].plot(dfp_quad['x'], dfp_quad['y'], '--', alpha=0.6)\n", " \n", " \n", "def plot_traces(traces, retain=1000):\n", " ''' \n", " Convenience function:\n", " Plot traces with overlaid means and values\n", " '''\n", " \n", " ax = pm.traceplot(traces[-retain:], figsize=(12,len(traces.varnames)*1.5),\n", " lines={k: v['mean'] for k, v in pm.df_summary(traces[-retain:]).iterrows()})\n", "\n", " for i, mn in enumerate(pm.df_summary(traces[-retain:])['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')\n", " \n", " \n", "def create_poly_modelspec(k=1):\n", " ''' \n", " Convenience function:\n", " Create a polynomial modelspec string for patsy\n", " '''\n", " return ('y ~ 1 + x ' + ' '.join(['+ np.power(x,{})'.format(j) \n", " for j in range(2,k+1)])).strip()\n", "\n", "\n", "def run_models(df, upper_order=5):\n", " ''' \n", " Convenience function:\n", " Fit a range of pymc3 models of increasing polynomial complexity. \n", " Suggest limit to max order 5 since calculation time is exponential.\n", " '''\n", " \n", " models, traces = OrderedDict(), OrderedDict()\n", "\n", " for k in range(1,upper_order+1):\n", "\n", " nm = 'k{}'.format(k)\n", " fml = create_poly_modelspec(k)\n", "\n", " with pm.Model() as models[nm]:\n", "\n", " print('\\nRunning: {}'.format(nm))\n", " pm.glm.glm(fml, df, family=pm.glm.families.Normal())\n", "\n", " # For speed, we're using Metropolis here\n", " traces[nm] = pm.sample(5000, pm.Metropolis())[1000::5]\n", " \n", " return models, traces\n", "\n", "\n", "def plot_posterior_cr(models, traces, rawdata, xlims,\n", " datamodelnm='linear', modelnm='k1'):\n", " '''\n", " Convenience function:\n", " Plot posterior predictions with credible regions shown as filled areas.\n", " '''\n", " \n", " ## Get traces and calc posterior prediction for npoints in x\n", " npoints = 100\n", " mdl = models[modelnm]\n", " trc = pm.trace_to_dataframe(traces[modelnm][-1000:])\n", " trc = trc[[str(v) for v in mdl.cont_vars[:-1]]]\n", "\n", " ordr = int(modelnm[-1:])\n", " x = np.linspace(xlims[0], xlims[1], npoints).reshape((npoints,1))\n", " pwrs = np.ones((npoints,ordr+1)) * np.arange(ordr+1)\n", " X = x ** pwrs\n", " cr = np.dot(X,trc.T)\n", "\n", " ## Calculate credible regions and plot over the datapoints\n", " dfp = pd.DataFrame(np.percentile(cr,[2.5, 25, 50, 75, 97.5], axis=1).T\n", " ,columns=['025','250','500','750','975'])\n", " dfp['x'] = x\n", "\n", " pal = sns.color_palette('Greens')\n", " f, ax1d = plt.subplots(1,1, figsize=(7,7))\n", " f.suptitle('Posterior Predictive Fit -- Data: {} -- Model: {}'.format(\n", " datamodelnm, modelnm), fontsize=16)\n", " plt.subplots_adjust(top=0.95)\n", "\n", " ax1d.fill_between(dfp['x'], dfp['025'], dfp['975'], alpha=0.5\n", " ,color=pal[1], label='CR 95%')\n", " ax1d.fill_between(dfp['x'], dfp['250'], dfp['750'], alpha=0.5\n", " ,color=pal[4], label='CR 50%')\n", " ax1d.plot(dfp['x'], dfp['500'], alpha=0.6, color=pal[5], label='Median')\n", " _ = plt.legend()\n", " _ = ax1d.set_xlim(xlims)\n", " _ = sns.regplot(x='x', y='y', data=rawdata, fit_reg=False\n", " ,scatter_kws={'alpha':0.7,'s':100, 'lw':2,'edgecolor':'w'}, ax=ax1d)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Generate Toy Datasets" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Interactively Draft Data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Throughout the rest of the Notebook, we'll use two toy datasets created by a linear and a quadratic model respectively, so that we can better evaluate the fit of the model selection.\n", "\n", "Right now, lets use an interactive session to play around with the data generation function in this Notebook, and get a feel for the possibilities of data we could generate.\n", "\n", "\n", "$$y_{i} = a + bx_{i} + cx_{i}^{2} + \\epsilon_{i}$$\n", "\n", "where: \n", "$i \\in n$ datapoints\n", "$\\epsilon \\sim \\mathcal{N}(0,latent\\_sigma\\_y)$\n", "\n", "\n", "**NOTE on outliers:** \n", "\n", "+ We can use value `p` to set the (approximate) proportion of 'outliers' under a bernoulli distribution.\n", "+ These outliers have a 10x larger `latent_sigma_y`\n", "+ These outliers are labelled in the returned datasets and may be useful for other modelling, see another example Notebook `GLM-robust-with-outlier-detection.ipynb`" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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r1QIo7qZU0X4iIiIiIrKczYcHmUyG/Px8fPjhh2jYsCEAICMjA99++y06d+6M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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "interactive(interact_dataset, n=[5,50,5], p=[0,.5,.05], a=[-50,50]\n", " ,b=[-10,10], c=[-3,3], latent_sigma_y=[0,1000,50])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Observe:**\n", "\n", "+ I've shown the `latent_error` in errorbars, but this is for interest only, since this shows the _inherent noise_ in whatever 'physical process' we imagine created the data.\n", "+ There is no _measurement error_.\n", "+ Datapoints created as outliers are shown in **red**, again for interest only." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Create Datasets for Modelling" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can use the above interactive plot to get a feel for the effect of the params. Now we'll create 2 fixed datasets to use for the remainder of the Notebook. \n", "\n", "1. For a start, we'll create a linear model with small noise. Keep it simple.\n", "2. Secondly, a quadratic model with small noise" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "n = 12\n", "df_lin, dfp_lin = generate_data(n=n, p=0, a=-30, b=5, c=0, latent_sigma_y=40)\n", "df_quad, dfp_quad = generate_data(n=n, p=0, a=-200, b=2, c=3, latent_sigma_y=500)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Scatterplot against model line" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Tpw/5+fk89thjFBcX88EHH/Dcc89x9913M3jwYHJycnj00UfZunUr8+bNY+PG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AcOHJi8/vj6yF4z9VCf+qhPfdSnPuozNWpUH/WZWYRPmFGOY+T7nlzXkTGStVIUxapWQ8Xx3Eta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\n4pR87/Dta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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_datasets(df_lin, df_quad, dfp_lin, dfp_quad)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Observe:**\n", "\n", "+ We now have two datasets `df_lin` and `df_quad` created by a linear model and quadratic model respectively.\n", "+ You can see this raw data, the ideal model fit and the effect of the latent noise in the scatterplots above\n", "+ In the folowing plots in this Notebook, the linear-generated data will be shown in Blue and the quadratic in Green.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Standardize" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [], "source": [ "dfs_lin = df_lin.copy()\n", "dfs_lin['x'] = (df_lin['x'] - df_lin['x'].mean()) / df_lin['x'].std()\n", "\n", "dfs_quad = df_quad.copy()\n", "dfs_quad['x'] = (df_quad['x'] - df_quad['x'].mean()) / df_quad['x'].std()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Create ranges for later ylim xim" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [], "source": [ "dfs_lin_xlims = (dfs_lin['x'].min() - np.ptp(dfs_lin['x'])/10,\n", " dfs_lin['x'].max() + np.ptp(dfs_lin['x'])/10)\n", "\n", "dfs_lin_ylims = (dfs_lin['y'].min() - np.ptp(dfs_lin['y'])/10,\n", " dfs_lin['y'].max() + np.ptp(dfs_lin['y'])/10)\n", "\n", "dfs_quad_ylims = (dfs_quad['y'].min() - np.ptp(dfs_quad['y'])/10,\n", " dfs_quad['y'].max() + np.ptp(dfs_quad['y'])/10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Demonstrate Simple Linear Model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This *linear model* is really simple and conventional, an OLS with L2 constraints (Ridge Regression):\n", "\n", "$$y = a + bx + \\epsilon$$\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Define model using ordinary pymc3 method" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using advi...\n", "Average ELBO = -73.241: 100%|██████████| 200000/200000 [00:16<00:00, 11965.24it/s]\n", "Finished [100%]: Average ELBO = -73.241\n", "100%|██████████| 2000/2000 [00:04<00:00, 402.52it/s]\n" ] } ], "source": [ "with pm.Model() as mdl_ols: \n", " ## define Normal priors to give Ridge regression\n", " b0 = pm.Normal('b0', mu=0, sd=100)\n", " b1 = pm.Normal('b1', mu=0, sd=100)\n", " \n", " ## define Linear model\n", " yest = b0 + b1 * df_lin['x']\n", "\n", " ## define Normal likelihood with HalfCauchy noise (fat tails, equiv to HalfT 1DoF)\n", " sigma_y = pm.HalfCauchy('sigma_y', beta=10)\n", " likelihood = pm.Normal('likelihood', mu=yest, sd=sigma_y, observed=df_lin['y'])\n", "\n", " ## sample using NUTS\n", " traces_ols = pm.sample(2000)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### View Traces after burn-in" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Ioj/xX//1X2hsbIzkdrrqqqsgyzIuueQS/PrXv+5VWyZPnoy8vDwsW7YMt9xy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\n2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w0NDeA4Di6XK+lYdXa9hoYGFBQUAAC8Xi8aGhqS9nu9Xrz33nv46quvMGXKFEyZMgWr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\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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_traces(traces_ols, retain=1000)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Observe:**\n", "\n", "+ This simple OLS manages to make fairly good guesses on the model parameters - the data has been generated fairly simply after all - but it does appear to have been fooled slightly by the inherent noise.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Define model using pymc3 GLM method" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "PyMC3 has a quite recently developed method - `glm` - for defining models using a `patsy`-style formula syntax. This seems really useful, especially for defining simple regression models in fewer lines of code. \n", "\n", "I couldn't find a direct comparison in the the examples, so before I launch into using `glm` for the rest of the Notebook, here's the same OLS model as above, defined using `glm`." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using advi...\n", "Average ELBO = -91.638: 100%|██████████| 200000/200000 [00:19<00:00, 10132.78it/s]\n", "Finished [100%]: Average ELBO = -91.636\n", "100%|██████████| 2000/2000 [00:05<00:00, 347.51it/s]\n" ] } ], "source": [ "with pm.Model() as mdl_ols_glm:\n", " # setup model with Normal likelihood (which uses HalfCauchy for error prior)\n", " pm.glm.glm('y ~ 1 + x', df_lin, family=pm.glm.families.Normal())\n", " \n", " traces_ols_glm = pm.sample(2000)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### View Traces after burn-in" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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hpcWrHHs8n3RRzCsyRRk6HQeup5h9RaA7+kKnC44Hna4T85Cqjf1wnPZcKp//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yYKhTJ0OdIexoOv1uJgUxAAMGHE/2fvzuOiKvc/gH9mYRZgkB0BNzQV3ABJbXFJ5Wr4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ftCUK5KeHoiid5pNVacb+yq/1Za9c4wHJWIbJ7M5GnjIhGMoxNsYqGwUANK1ohlQFWFuHJpqi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CB+/vlnuLm5ITs7G3v27IFMJkNsbCzOnDmDvXv3YubMmc1aDiKqzd4CTibsuWz3tYAiNptf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\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iXr2OCCGYPkY/rErkw6iJV2JFHesMYYynf1b7em5kmXrdnVRuRn1zALk5HBwWbmgNJggx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\nCKGlMxR1AwSAjp4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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_traces(traces_ols_glm, retain=1000)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Observe:**\n", "\n", "+ The output parameters are of course named differently to the custom naming before. Now we have:\n", "\n", " `b0 == Intercept` \n", " `b1 == x` \n", " `sigma_y_log == sd_log` \n", " `sigma_y == sd` \n", " \n", " \n", "+ However, naming aside, this `glm`-defined model appears to behave in a very similar way, and finds the same parameter values as the conventionally-defined model - any differences are due to the random nature of the sampling.\n", "+ We can quite happily use the `glm` syntax for further models below, since it allows us to create a small model factory very easily." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "\n", "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Create Higher-Order Linear Models" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Back to the real purpose of this Notebook: demonstrate model selection.\n", "\n", "First, let's create and run a set of polynomial models on each of our toy datasets. By default this is for models of order 1 to 5." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Create and run polynomial models\n", "\n", "Please see `run_models()` above for details. Generally, we're creating 5 polynomial models and fitting each to the chosen dataset" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Running: k1\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 5000/5000 [00:01<00:00, 3110.85it/s]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "Running: k2\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 5000/5000 [00:02<00:00, 2399.09it/s]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "Running: k3\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 5000/5000 [00:02<00:00, 2100.65it/s]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "Running: k4\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 5000/5000 [00:03<00:00, 1618.59it/s]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "Running: k5\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 5000/5000 [00:03<00:00, 1432.95it/s]\n" ] } ], "source": [ "models_lin, traces_lin = run_models(dfs_lin, 5)" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Running: k1\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 5000/5000 [00:01<00:00, 3223.01it/s]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "Running: k2\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 5000/5000 [00:02<00:00, 2122.66it/s]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "Running: k3\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 5000/5000 [00:03<00:00, 1611.79it/s]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "Running: k4\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 5000/5000 [00:03<00:00, 1256.59it/s]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "Running: k5\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 5000/5000 [00:03<00:00, 1369.04it/s]\n" ] } ], "source": [ "models_quad, traces_quad = run_models(dfs_quad, 5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## A really bad method for model selection: compare likelihoods" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Evaluate log likelihoods straight from model.logp" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": false }, "outputs": [], "source": [ "dfll = pd.DataFrame(index=['k1','k2','k3','k4','k5'], columns=['lin','quad'])\n", "dfll.index.name = 'model'\n", "\n", "for nm in dfll.index:\n", " dfll.loc[nm,'lin'] =-models_lin[nm].logp(pm.df_summary(traces_lin[nm], varnames=traces_lin[nm].varnames)['mean'].to_dict())\n", " dfll.loc[nm,'quad'] =-models_quad[nm].logp(pm.df_summary(traces_quad[nm], varnames=traces_quad[nm].varnames)['mean'].to_dict())\n", "\n", "dfll = pd.melt(dfll.reset_index(), id_vars=['model'], var_name='poly', value_name='log_likelihood')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Plot log-likelihoods" ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "g = sns.factorplot(x='model', y='log_likelihood', col='poly', hue='poly'\n", " ,data=dfll, kind='bar', size=6)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Observe:**\n", "\n", "+ Again we're showing the linear-generated data at left (Blue) and the quadratic-generated data on the right (Green)\n", "+ For both datasets, as the models get more complex, the likelhood increases monotonically\n", "+ This is expected, since the models are more flexible and thus able to (over)fit more easily.\n", "+ This overfitting makes it a terrible idea to simply use the likelihood to evaluate the model fits." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### View posterior predictive fit\n", "\n", "Just for the linear, generated data, lets take an interactive look at the posterior predictive fit for the models k1 through k5.\n", "\n", "As indicated by the likelhood plots above, the higher-order polynomial models exhibit some quite wild swings in the function in order to (over)fit the data" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Hv//+O2XKlMHX1zdfKxi8++679OnTh2+//ZYdO3YQGhpKXFycrdxmzZpl+6Oe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wD4zne+Q2dnJ2+99Ra/93u/x3e/+11mZ2cBmJmZ4bXXXuOVV17hrbfeorW1lddee62ab0WIHS2u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\n+dq1a9dpvbalpUUdHR0DtnV2dqqpqWlE+0ciFg2pY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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "interactive(plot_posterior_cr, models=fixed(models_lin), traces=fixed(traces_lin)\n", " ,rawdata=fixed(dfs_lin), xlims=fixed(dfs_lin_xlims), datamodelnm=fixed('linear')\n", " ,modelnm = ['k1','k2','k3','k4','k5'])" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "## Compare Deviance Information Criterion [DIC]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Deviance Information Criterion (DIC) is a fairly unsophisticated method for comparing the deviance of likelhood across the the sample traces of a model run. However, this simplicity apparently yields quite good results in a variety of cases, see the discussion worth reading in [(Speigelhalter et al 2014)](http://onlinelibrary.wiley.com/doi/10.1111/rssb.12062/abstract)\n", "\n", "DIC has recently been added to PyMC3, so lets see what it tells us about our model fits for both datasets." ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "##### Manual calculation, probably error-prone" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "190.51457821816018" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dftrc_lin = pm.trace_to_dataframe(traces_lin['k1'], hide_transformed_vars=False)\n", "trc_lin_logp = dftrc_lin.apply(lambda x: models_lin['k1'].logp(x.to_dict()), axis=1)\n", "mean_deviance = -2 * trc_lin_logp.mean(0)\n", "mean_deviance" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "187.44666201867705" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "deviance_at_mean = -2 * models_lin['k1'].logp(dftrc_lin.mean(0).to_dict())\n", "deviance_at_mean" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "193.58249441764332" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dic_k1 = 2 * mean_deviance - deviance_at_mean\n", "dic_k1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Or we could use the newly created function in `stats.py`, much better!" ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "193.58249441764318" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pm.stats.dic(model=models_lin['k1'], trace=traces_lin['k1'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Observe:**\n", "\n", "+ It's good to see the manual method agrees with the implemented package method" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Now loop through all the models and calculate the DIC" ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dfdic = pd.DataFrame(index=['k1','k2','k3','k4','k5'], columns=['lin','quad'])\n", "dfdic.index.name = 'model'\n", "\n", "for nm in dfdic.index:\n", " dfdic.loc[nm, 'lin'] = pm.stats.dic(traces_lin[nm], models_lin[nm])\n", " dfdic.loc[nm, 'quad'] = pm.stats.dic(traces_quad[nm], models_quad[nm])\n", "\n", "dfdic = pd.melt(dfdic.reset_index(), id_vars=['model'], var_name='poly', value_name='dic')\n", "\n", "g = sns.factorplot(x='model', y='dic', col='poly', hue='poly', data=dfdic, kind='bar', size=6)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Observe**\n", "\n", "+ We should prefer the model(s) with lower DIC, which (happily) directly opposes the increasing likelihood we see above.\n", "\n", "\n", "+ Linear-generated data (lhs):\n", " + The DIC increases monotonically with model complexity, this is great too see!\n", " + The more complicated the model, the more it would appear we are overfitting.\n", "\n", "\n", "+ Quadratic-generated data (rhs):\n", " + The DIC dips slightly for the correct model k2\n", " + The difference is slight though!\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Compare Watanabe - Akaike Information Criterion [WAIC]\n", "\n", "The Widely Applicable Bayesian Information Criterion (WBIC), a.k.a the Watanabe - Akaike Information Criterion (WAIC) is another simple option for calculating the goodness-of-fit of amodel using numerical techniques. See [(Watanabe 2013)](http://www.jmlr.org/papers/volume14/watanabe13a/watanabe13a.pdf) for details.\n", "\n", "WAIC has also recently been added to PyMC3, so lets see what it tells us about our model fits for both datasets." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### This time go straight for the implementation in pymc3" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(130.81721528352693, 1.248109623573133)" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pm.stats.waic(model=models_lin['k1'], trace=traces_lin['k1'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Observe:**\n", "\n", "+ Well, we get a number... not much to tell from just one though, so lets compare all models" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Now loop through all the models and calculate the WAIC" ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dfwaic = pd.DataFrame(index=['k1','k2','k3','k4','k5'], columns=['lin','quad'])\n", "dfwaic.index.name = 'model'\n", "\n", "for nm in dfwaic.index:\n", " dfwaic.loc[nm, 'lin'] = pm.stats.waic(traces_lin[nm], models_lin[nm])[0]\n", " dfwaic.loc[nm, 'quad'] = pm.stats.waic(traces_quad[nm], models_quad[nm])[0]\n", "\n", "dfwaic = pd.melt(dfwaic.reset_index(), id_vars=['model'], var_name='poly', value_name='waic')\n", "\n", "g = sns.factorplot(x='model', y='waic', col='poly', hue='poly', data=dfwaic, kind='bar', size=6)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Observe**\n", "\n", "+ We should prefer the model(s) with lower WAIC\n", "\n", "\n", "+ Linear-generated data (lhs):\n", " + The WAIC seems quite flat across models\n", " + The WAIC seems best (lowest) for simpler models, but **k1** doesn't stand out as much as it did when using DIC\n", "\n", "\n", "+ Quadratic-generated data (rhs):\n", " + The WAIC is certainly wrong for **k1**, but otherwise also quite flat across the models\n", " + There does appear to be a slight dip in the right place at **k2**\n", " \n", " \n", "For these particular models and data, I would prefer to use the DIC scores in order to choose models.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "\n", "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## TODO" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### K-Fold Cross Validation and/or Leave-One-Out (LOO)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Left for future development - should be easy enough" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "http://www.stat.columbia.edu/~gelman/research/unpublished/waic_stan.pdf" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Bayes Factor" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Will be left for future development - scipy only useful for 2D and 3D. Beyond that, dragons." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Following text lifted directly from [JakeVDP blogpost](https://jakevdp.github.io/blog/2015/08/07/frequentism-and-bayesianism-5-model-selection/)\n", "\n", "The Bayesian approach proceeds very differently. Recall that the Bayesian model involves computing the odds ratio between two models:\n", "\n", "$$O_{21}=\\frac{P(M_{2} \\;|\\; D)}{P(M_{1} \\;|\\; D)}=\\frac{P(D \\;|\\; M_{2})}{P(D \\;|\\; M_{1})}\\frac{P(M_{2})}{P(M_{1})}$$\n", "\n", "Here the ratio $\\frac{P(M2)}{P(M1)}$ is the prior odds ratio, and is often assumed to be equal to 1 if no compelling prior evidence favors one model over another. The ratio $\\frac{P(D \\;|\\; M2)}{P(D \\;|\\; M1)}$ is the **Bayes factor**, and is the key to Bayesian model selection.\n", "\n", "\n", "The Bayes factor can be computed by evaluating the integral over the parameter likelihood:\n", "\n", "$$P(D \\;|\\; M)=\\int_{\\Omega}P(D \\;|\\; \\theta,M) \\; P(\\theta \\;|\\; M) \\;d\\theta$$\n", "\n", "This integral is over the entire parameter space of the model, and thus can be extremely computationally intensive, especially as the dimension of the model grows beyond a few. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Example originally contributed by Jonathan Sedar 2016-01-09 [github.com/jonsedar](https://github.com/jonsedar)" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python [default]", "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": "3.5.2" }, "widgets": { "state": { "87b986ac3e5a43ec859cf10e013f2955": { "views": [ { "cell_index": 9 } ] }, "f1f05f8da738419e8e2c54ee1809c61c": { "views": [ { "cell_index": 47 } ] } }, "version": "1.2.0" } }, "nbformat": 4, "nbformat_minor": 0 }