{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Updating priors" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this notebook, I will show how it is possible to update the priors as new data becomes available. The example is a slightly modified version of the linear regression in the [Getting started with PyMC3](https://github.com/pymc-devs/pymc3/blob/master/docs/source/notebooks/getting_started.ipynb) notebook." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running on PyMC3 v3.4.1\n" ] } ], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import matplotlib as mpl\n", "import pymc3 as pm\n", "from pymc3 import Model, Normal, Slice\n", "from pymc3 import sample\n", "from pymc3 import traceplot\n", "from pymc3.distributions import Interpolated\n", "from theano import as_op\n", "import theano.tensor as tt\n", "import numpy as np\n", "from scipy import stats\n", "\n", "plt.style.use('seaborn-darkgrid')\n", "print('Running on PyMC3 v{}'.format(pm.__version__))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Generating data" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "# Initialize random number generator\n", "np.random.seed(123)\n", "\n", "# True parameter values\n", "alpha_true = 5\n", "beta0_true = 7\n", "beta1_true = 13\n", "\n", "# Size of dataset\n", "size = 100\n", "\n", "# Predictor variable\n", "X1 = np.random.randn(size)\n", "X2 = np.random.randn(size) * 0.2\n", "\n", "# Simulate outcome variable\n", "Y = alpha_true + beta0_true * X1 + beta1_true * X2 + np.random.randn(size)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Model specification" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Our initial beliefs about the parameters are quite informative (sd=1) and a bit off the true values." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (2 chains in 2 jobs)\n", "NUTS: [beta1, beta0, alpha]\n", "100%|██████████| 1500/1500 [00:01<00:00, 1034.63it/s]\n" ] } ], "source": [ "basic_model = Model()\n", "\n", "with basic_model:\n", " \n", " # Priors for unknown model parameters\n", " alpha = Normal('alpha', mu=0, sd=1)\n", " beta0 = Normal('beta0', mu=12, sd=1)\n", " beta1 = Normal('beta1', mu=18, sd=1)\n", " \n", " # Expected value of outcome\n", " mu = alpha + beta0 * X1 + beta1 * X2\n", " \n", " # Likelihood (sampling distribution) of observations\n", " Y_obs = Normal('Y_obs', mu=mu, sd=1, observed=Y)\n", " \n", " # draw 1000 posterior samples\n", " trace = sample(1000)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "traceplot(trace);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In order to update our beliefs about the parameters, we use the posterior distributions, which will be used as the prior distributions for the next inference. The data used for each inference iteration has to be independent from the previous iterations, otherwise the same (possibly wrong) belief is injected over and over in the system, amplifying the errors and misleading the inference. By ensuring the data is independent, the system should converge to the true parameter values.\n", "\n", "Because we draw samples from the posterior distribution (shown on the right in the figure above), we need to estimate their probability density (shown on the left in the figure above). [Kernel density estimation](https://en.wikipedia.org/wiki/Kernel_density_estimation) (KDE) is a way to achieve this, and we will use this technique here. In any case, it is an empirical distribution that cannot be expressed analytically. Fortunately PyMC3 provides a way to use custom distributions, via `Interpolated` class." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "def from_posterior(param, samples):\n", " smin, smax = np.min(samples), np.max(samples)\n", " width = smax - smin\n", " x = np.linspace(smin, smax, 100)\n", " y = stats.gaussian_kde(samples)(x)\n", " \n", " # what was never sampled should have a small probability but not 0,\n", " # so we'll extend the domain and use linear approximation of density on it\n", " x = np.concatenate([[x[0] - 3 * width], x, [x[-1] + 3 * width]])\n", " y = np.concatenate([[0], y, [0]])\n", " return Interpolated(param, x, y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we just need to generate more data and build our Bayesian model so that the prior distributions for the current iteration are the posterior distributions from the previous iteration. It is still possible to continue using NUTS sampling method because `Interpolated` class implements calculation of gradients that are necessary for Hamiltonian Monte Carlo samplers." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "traces = [trace]" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "scrolled": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (2 chains in 2 jobs)\n", "NUTS: [beta1_interval__, beta0_interval__, alpha_interval__]\n", "100%|██████████| 1500/1500 [00:02<00:00, 517.13it/s]\n", "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (2 chains in 2 jobs)\n", "NUTS: [beta1_interval__, beta0_interval__, alpha_interval__]\n", "100%|██████████| 1500/1500 [00:02<00:00, 565.02it/s]\n", "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (2 chains in 2 jobs)\n", "NUTS: [beta1_interval__, beta0_interval__, alpha_interval__]\n", "100%|██████████| 1500/1500 [00:02<00:00, 547.61it/s]\n", "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (2 chains in 2 jobs)\n", "NUTS: [beta1_interval__, beta0_interval__, alpha_interval__]\n", "100%|██████████| 1500/1500 [00:02<00:00, 602.40it/s]\n", "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (2 chains in 2 jobs)\n", "NUTS: [beta1_interval__, beta0_interval__, alpha_interval__]\n", "100%|██████████| 1500/1500 [00:03<00:00, 476.16it/s]\n", "The number of effective samples is smaller than 25% for some parameters.\n", "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (2 chains in 2 jobs)\n", "NUTS: [beta1_interval__, beta0_interval__, alpha_interval__]\n", "100%|██████████| 1500/1500 [00:02<00:00, 612.56it/s]\n", "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (2 chains in 2 jobs)\n", "NUTS: [beta1_interval__, beta0_interval__, alpha_interval__]\n", "100%|██████████| 1500/1500 [00:02<00:00, 552.16it/s]\n", "The number of effective samples is smaller than 25% for some parameters.\n", "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (2 chains in 2 jobs)\n", "NUTS: [beta1_interval__, beta0_interval__, alpha_interval__]\n", "100%|██████████| 1500/1500 [00:03<00:00, 442.91it/s]\n", "The number of effective samples is smaller than 25% for some parameters.\n", "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (2 chains in 2 jobs)\n", "NUTS: [beta1_interval__, beta0_interval__, alpha_interval__]\n", "100%|██████████| 1500/1500 [00:03<00:00, 486.06it/s]\n", "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (2 chains in 2 jobs)\n", "NUTS: [beta1_interval__, beta0_interval__, alpha_interval__]\n", "100%|██████████| 1500/1500 [00:03<00:00, 446.86it/s]\n" ] } ], "source": [ "for _ in range(10):\n", "\n", " # generate more data\n", " X1 = np.random.randn(size)\n", " X2 = np.random.randn(size) * 0.2\n", " Y = alpha_true + beta0_true * X1 + beta1_true * X2 + np.random.randn(size)\n", "\n", " model = Model()\n", " with model:\n", " # Priors are posteriors from previous iteration\n", " alpha = from_posterior('alpha', trace['alpha'])\n", " beta0 = from_posterior('beta0', trace['beta0'])\n", " beta1 = from_posterior('beta1', trace['beta1'])\n", "\n", " # Expected value of outcome\n", " mu = alpha + beta0 * X1 + beta1 * X2\n", "\n", " # Likelihood (sampling distribution) of observations\n", " Y_obs = Normal('Y_obs', mu=mu, sd=1, observed=Y)\n", " \n", " # draw 10000 posterior samples\n", " trace = sample(1000)\n", " traces.append(trace)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Posterior distributions after 11 iterations.\n" ] }, { "data": { "image/png": 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\n", 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "print('Posterior distributions after ' + str(len(traces)) + ' iterations.')\n", "cmap = mpl.cm.autumn\n", "for param in ['alpha', 'beta0', 'beta1']:\n", " plt.figure(figsize=(8, 2))\n", " for update_i, trace in enumerate(traces):\n", " samples = trace[param]\n", " smin, smax = np.min(samples), np.max(samples)\n", " x = np.linspace(smin, smax, 100)\n", " y = stats.gaussian_kde(samples)(x)\n", " plt.plot(x, y, color=cmap(1 - update_i / len(traces)))\n", " plt.axvline({'alpha': alpha_true, 'beta0': beta0_true, 'beta1': beta1_true}[param], c='k')\n", " plt.ylabel('Frequency')\n", " plt.title(param)\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can re-execute the last two cells to generate more updates.\n", "\n", "What is interesting to note is that the posterior distributions for our parameters tend to get centered on their true value (vertical lines), and the distribution gets thiner and thiner. This means that we get more confident each time, and the (false) belief we had at the beginning gets flushed away by the new data we incorporate." ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.11" } }, "nbformat": 4, "nbformat_minor": 2 }