From 370b5b98a868217d4ce38679e52700eaf8e00556 Mon Sep 17 00:00:00 2001 From: Jonathan Sedar Date: Tue, 18 Oct 2016 09:36:57 +0100 Subject: [PATCH] DOC Adding an example Notebook for NUTS scaling using ADVI stdevs (#1457) It seems to work, so submitting an example Notebook in the hope it helps someone else. Please see Notebook for method, results and system details too. --- .../notebooks/NUTS_scaling_using_ADVI.ipynb | 969 ++++++++++++++++++ 1 file changed, 969 insertions(+) create mode 100644 docs/source/notebooks/NUTS_scaling_using_ADVI.ipynb diff --git a/docs/source/notebooks/NUTS_scaling_using_ADVI.ipynb b/docs/source/notebooks/NUTS_scaling_using_ADVI.ipynb new file mode 100644 index 0000000000..63e22f66d0 --- /dev/null +++ b/docs/source/notebooks/NUTS_scaling_using_ADVI.ipynb @@ -0,0 +1,969 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "##### PyMC3 Examples\n", + "\n", + "# NUTS scaling using ADVI Outputs\n", + "\n", + "#### A minimal reproducable example of using the stdevs of ADVI to set the scaling matrix of the NUTS sampler.\n", + "\n", + "\n", + "\n", + "I caught up with [Thomas Wiecki](https://twiecki.github.io) after his talk at [ODSC London](https://www.odsc.com/london) and he mentioned a potential speed increase for NUTS sampling by using ADVI outputs to set the covariance scaling matrix.\n", + "\n", + "This seems like a great idea and there's already a [good example in the docs](http://pymc-devs.github.io/pymc3/notebooks/stochastic_volatility.html#Fit-Model) but I wanted to try it myself, and get a feel for the speed increase.\n", + "\n", + "\n", + "### Overview\n", + "\n", + "In this Notebook I generate a small, noisy dataset according to a simple linear model, and attempt to recover the parameters comparing 3 techniques:\n", + "\n", + "1. NUTS, initialised at model test point (zero, the basic choice)\n", + "2. NUTS, initialised at mean ADVI (my default choice to date)\n", + "3. NUTS, initialised at mean ADVI, and scaling the covariance with the ADVI stdev (hopefully a speed increase)\n", + "\n", + "\n", + "### Results Summary\n", + "\n", + "The final estimates of the model parameter coeffs look quite similar, and close to the correct values. Each NUTS sampler was run for the same count of traces, yet they took quite different times to sample, since the quality of exploration was different:\n", + "\n", + "1. NUTS, initialised at test point zero: 9 sec, \n", + "2. NUTS, initialised at mean ADVI: 163 sec\n", + "3. NUTS, initialised at mean ADVI, and scaled using ADVI stdevs: 3 sec\n", + "\n", + "The scaling really seems to help speed up the NUTS sampling: the traces appear to converge much more quickly and seem more settled. The parameter estimates are good too.\n", + "\n", + "_**In general, it seems worth trying to set the NUTS scaling using ADVI stdevs.**_\n", + "\n", + "\n", + "### Contents\n", + "\n", + "\n", + "+ [Setup](#Setup)\n", + " + [Local Functions](#Local-Functions)\n", + " + [Generate Data](#Generate-Data)\n", + "\n", + "\n", + "+ [Create and Test Linear Model](#Create-and-Test-Linear-Model)\n", + " + [Metropolis Sampling](#Metropolis-Sampling)\n", + " + [ADVI Estimation](#ADVI-Estimation)\n", + "\n", + "\n", + "+ [Test NUTS Sampling](#Test-NUTS-Sampling)\n", + " + [1. NUTS initialise MAP using Powell](#1.-NUTS-initialise-MAP-using-Powell)\n", + " + [2. NUTS initialise MAP using ADVI mean](#2.-NUTS-initialise-MAP-using-ADVI-mean)\n", + " + [3. NUTS initialise MAP using ADVI mean and scale using ADVI stdevs](#3.-NUTS-initialise-MAP-using-ADVI-mean-and-scale-using-ADVI-stdevs)\n", + " \n", + " \n", + " \n", + "### Package Requirements (shown as a conda-env YAML):\n", + "```\n", + "$> less conda_env_pymc3_examples.yml\n", + "\n", + "name: pymc3_examples\n", + "channels:\n", + " - defaults\n", + "dependencies:\n", + " - python=3.5\n", + " - jupyter\n", + " - ipywidgets\n", + " - numpy\n", + " - scipy\n", + " - matplotlib\n", + " - pandas\n", + " - pip\n", + " - pip:\n", + " - watermark\n", + " - pymc3 \n", + "\n", + "$> conda env create --file conda_env_pymc3_examples.yml\n", + "$> source activate pymc3_examples\n", + "```" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Setup" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "%matplotlib inline\n", + "%qtconsole --colors=Linux" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2016-10-18 \n", + "\n", + "CPython 3.5.2\n", + "IPython 5.1.0\n", + "\n", + "numpy 1.11.1\n", + "pandas 0.18.1\n", + "matplotlib 1.5.2\n", + "pymc3 3.0.rc1\n", + "theano 0.8.2\n", + "joblib 0.10.2\n", + "\n", + "compiler : GCC 4.2.1 Compatible Apple LLVM 4.2 (clang-425.0.28)\n", + "system : Darwin\n", + "release : 14.5.0\n", + "machine : x86_64\n", + "processor : i386\n", + "CPU cores : 4\n", + "interpreter: 64bit\n", + "Git hash : f737bf97f29670725f5ef2824e70585ee3feefd6\n" + ] + } + ], + "source": [ + "import warnings\n", + "warnings.filterwarnings('ignore')\n", + "\n", + "import numpy as np\n", + "from scipy import optimize\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "import pymc3 as pm\n", + "\n", + "pd.set_option('display.mpl_style', 'default')\n", + "plt.rcParams['figure.figsize'] = 12, 4\n", + "rndst = np.random.RandomState(0)\n", + "\n", + "%load_ext watermark\n", + "%watermark -dmvgp numpy,pandas,matplotlib,pymc3,theano,joblib" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Local Functions" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": true + }, + "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", + " rndst = np.random.RandomState(0)\n", + " \n", + " df = pd.DataFrame({'x':rndst.choice(np.arange(max(100, 2*n)), 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", + " return df\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Generate Data" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**NOTE:**\n", + "\n", + "+ Dataset is 1000 rows for publishing (`n=1000`), which is small but still just about large enough to warrant a fast technique. \n", + "+ For your own usage, please feel free to increase `n`. Also try different model parameters `p, a, b, c, latent_sigma_y`." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
xylatent_erroroutlier_erroroutlier
0405331682.42217.422-190.0700
111902842856.031-23.969509.1810
211322573007.3241.324-678.4530
37311075236.834-34.166292.0730
417546168759.202-28.798-742.9930
\n", + "
" + ], + "text/plain": [ + " x y latent_error outlier_error outlier\n", + "0 405 331682.422 17.422 -190.070 0\n", + "1 1190 2842856.031 -23.969 509.181 0\n", + "2 1132 2573007.324 1.324 -678.453 0\n", + "3 731 1075236.834 -34.166 292.073 0\n", + "4 1754 6168759.202 -28.798 -742.993 0" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "n = 1000\n", + "df = generate_data(n=n, p=0.01, a=-30, b=9, c=2, latent_sigma_y=40)\n", + "df.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "---" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Create and Run Linear Model" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Applied log-transform to sigma_y and added transformed sigma_y_log_ to model.\n" + ] + } + ], + "source": [ + "with pm.Model() as mdl:\n", + " \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", + " b2 = pm.Normal('b2', mu=0, sd=100)\n", + " \n", + " ## define Linear model\n", + " yest = b0 + b1 * df['x'] + b2 * np.power(df['x'], 2)\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['y'])\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Metropolis Sampling" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " [-----------------100%-----------------] 10000 of 10000 complete in 10.6 sec" + ] + } + ], + "source": [ + "with mdl:\n", + " trc_met = pm.sample(10000, njobs=3, step=pm.Metropolis())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### View traces" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1gAAAGnCAYAAACqxPZNAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\niIiIiIg85P8DPLt8P04zch8AAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ax = pm.traceplot(trc_met[:], figsize=(12,4*1.5), combined=False)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "**Observe:**\n", + "\n", + "+ Great, the model seems reasonably well specified\n", + "+ Metropolis, as ever, takes a while to converge" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### View Model Coeffs" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAzsAAAEgCAYAAACToW1eAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "gs = pm.forestplot(trc_met[-1000:], varnames=['b0', 'b1', 'b2'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Observe:**\n", + "\n", + "+ This simple model took only 10 sec to sample using Metropolis.\n", + "+ Parameter estimates for b1 and b2 seem good, b0 seems a little off, but in general parameters are good.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## ADVI Estimation" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtUAAAEBCAYAAAC39FnPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n/x8HAWX5hAO1wAAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "with mdl:\n", + " v_params = pm.variational.advi(n=100000, verbose=False) \n", + "\n", + "_ = plt.plot(-np.log10(-v_params.elbo_vals))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Observe:**\n", + "\n", + "+ ADVI takes many iterations to converge for this model, but it gets there in the end\n", + "+ NOTE: I've plotted the ELBO on a log scale since the values swept through more than 10 orders of magnitude, and on a linear scale it becomes very hard to see convergence" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
meanstd
b014.49179518.010402
b18.7122730.019617
b22.0001890.000013
sigma_y_log_5.8727860.028040
\n", + "
" + ], + "text/plain": [ + " mean std\n", + "b0 14.491795 18.010402\n", + "b1 8.712273 0.019617\n", + "b2 2.000189 0.000013\n", + "sigma_y_log_ 5.872786 0.028040" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df_v_means = pd.DataFrame(v_params.means, index=['mean'])\n", + "df_v_stds = pd.DataFrame(v_params.stds, index=['std'])\n", + "df_v_params = pd.merge(df_v_means.T, df_v_stds.T, left_index=True, right_index=True)\n", + "df_v_params" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Observe:**\n", + "\n", + "+ The fitted parameter values don't look too horrible, but there seems to be an issue with b0 in particular.\n", + "+ However, I don't really want to report these values anyhow, instead, I'll use them to parameterise the NUTS sampler." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "---" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "# Test NUTS Sampling" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 1. NUTS initialise MAP at test_point" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " [-----------------100%-----------------] 300 of 300 complete in 9.2 sec" + ] + } + ], + "source": [ + "with mdl: \n", + " trc_nuts = pm.sample(300, njobs=3, step=pm.NUTS())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### View Traces" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1gAAAGnCAYAAACqxPZNAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nFLj8C+v53QAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ax = pm.traceplot(trc_nuts[:], figsize=(12,4*1.5), combined=False)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### View Model Coeffs" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAzsAAAEgCAYAAACToW1eAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "gs = pm.forestplot(trc_nuts[-10:], varnames=['b0', 'b1', 'b2'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Observe:**\n", + "\n", + "+ The model took 9.2 sec to sample\n", + "+ We didn't hit convergence until after 100 samples, with some slight movement remaining.\n", + "+ The estimated model coeffs look pretty good." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 2. NUTS initialise MAP using ADVI mean" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " [-----------------100%-----------------] 300 of 300 complete in 163.4 sec" + ] + } + ], + "source": [ + "with mdl:\n", + " trc_nuts_map = pm.sample(draws=300, njobs=3, step=pm.NUTS(), start=v_params.means)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### View Traces" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1gAAAGqCAYAAAAWWuWTAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ax = pm.traceplot(trc_nuts_map[:], figsize=(12,4*1.5), combined=False)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### View Model Coeffs" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAzsAAAEgCAYAAACToW1eAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "gs = pm.forestplot(trc_nuts_map[-100:], varnames=['b0', 'b1', 'b2'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Observe:**\n", + "\n", + "+ The model took 163 sec to sample\n", + "+ We hit a sort of convergence quickly after ~50 samples, but the traces afterwards appear to vary a lot - never truly settling.\n", + "+ The estimated model coeffs for b1 and b2 look fine, but b0 has a very wide variance." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 3. NUTS initialise MAP using ADVI mean and scale using ADVI stdevs" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " [-----------------100%-----------------] 300 of 300 complete in 2.8 sec" + ] + } + ], + "source": [ + "with mdl:\n", + " step = pm.NUTS(scaling=np.power(mdl.dict_to_array(v_params.stds),2), is_cov=True)\n", + "\n", + " trc_nuts_scale = pm.sample(draws=300, njobs=3, step=step, start=v_params.means)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### View Traces" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def plot_traces(traces, varnames, flatten_chains=False):\n", + " \"\"\" Conv fn: plot traces with overlaid means and values \"\"\"\n", + " \n", + " ax = pm.traceplot(traces, varnames=varnames, figsize=(12,len(varnames)*1.5),\n", + " lines={k: v['mean'] for k, v in pm.df_summary(\n", + " traces, varnames=varnames).iterrows()}, combined=flatten_chains)\n", + "\n", + " for i, mn in enumerate(pm.df_summary(traces, 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": "code", + "execution_count": 19, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1gAAAGqCAYAAAAWWuWTAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n+f8oUnuDlYRtBQAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ax = pm.traceplot(trc_nuts_scale, figsize=(12,4*1.5), combined=False)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### View Model Coeffs" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAzsAAAEgCAYAAACToW1eAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "gs = pm.forestplot(trc_nuts_scale[-100:], varnames=['b0', 'b1', 'b2'])" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "**Observe:**\n", + "\n", + "+ The model took ~3 sec to sample - far quicker than #4 without the scaling, and quicker than #3 initialised at the test point.\n", + "+ The traces appear to have converged after ~50 samples, and yielded consistent trace values since: the traces look very settled.\n", + "+ The estimated model coeffs look good." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## In Summary" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The final estimates of the model parameter coeffs look quite similar, and close to the correct values. Each NUTS sampler was run for the same count of traces, yet they took quite different times to sample, since the quality of exploration was different:\n", + "\n", + "1. NUTS, initialised at test point zero: 9 sec, \n", + "2. NUTS, initialised at mean ADVI: 163 sec\n", + "3. NUTS, initialised at mean ADVI, and scaled using ADVI stdevs: 3 sec\n", + "\n", + "The scaling really seems to help speed up the NUTS sampling: the traces appear to converge much more quickly and seem more settled. The parameter estimates are good too.\n", + "\n", + "_**In general, it seems worth trying to set the NUTS scaling using ADVI stdevs.**_\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "---\n", + "Example originally contributed by Jonathan Sedar 2016-10-16 \n", + "[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" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +}