diff --git a/docs/source/notebooks/updating_priors.ipynb b/docs/source/notebooks/updating_priors.ipynb new file mode 100644 index 0000000000..7d67ede9a3 --- /dev/null +++ b/docs/source/notebooks/updating_priors.ipynb @@ -0,0 +1,417 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "deletable": true, + "editable": true + }, + "source": [ + "# Updating priors" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "deletable": true, + "editable": true + }, + "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": 1, + "metadata": { + "collapsed": true, + "deletable": true, + "editable": true + }, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "import matplotlib as mpl\n", + "from pymc3 import Model, Normal, Slice\n", + "from pymc3 import sample\n", + "from pymc3 import traceplot\n", + "from pymc3.distributions import Continuous\n", + "from theano import as_op\n", + "import theano.tensor as tt\n", + "import numpy as np\n", + "from scipy import stats\n", + "\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "deletable": true, + "editable": true + }, + "source": [ + "## Generating data" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false, + "deletable": true, + "editable": true + }, + "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": { + "deletable": true, + "editable": true + }, + "source": [ + "## Model specification" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "deletable": true, + "editable": true + }, + "source": [ + "Our initial beliefs about the parameters are quite informative (sd=1) and a bit off the true values." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false, + "deletable": true, + "editable": true + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Auto-assigning NUTS sampler...\n", + "Initializing NUTS using advi...\n", + "Average ELBO = -178.23: 100%|██████████| 200000/200000 [00:11<00:00, 17384.94it/s]\n", + "Finished [100%]: Average ELBO = -178.25\n", + "100%|██████████| 1000/1000 [00:01<00:00, 901.60it/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": 4, + "metadata": { + "collapsed": false, + "deletable": true, + "editable": true + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[,\n", + " ],\n", + " [,\n", + " ],\n", + " [,\n", + " ]], dtype=object)" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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xmFdesU7MtWvtb9orr/RcbGBTj51InYd6Vmi6Xf3FGLNYRO7DClS7A+/EFtBc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\nPji1zz5w0EH+fwVfpZ2aB5xnZvvSul7nnsClZnZ2MKNz7rJCFx6TaX5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HMcoRmMqXMdW3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Bd0PPA8a4+2clKF+1KWR/vgZ0N7MjAcysC3Aq8K8Sl7VaFLJP2wCrU+atBvY2s5YlKWWVMrNW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RrXMyr1PvXWCTga/wHzq/hDCeYoJ0nzMQv4U402yktrc7IUmF817zfAQuUkWU46Oofqdg7w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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "traceplot(trace)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "deletable": true, + "editable": true + }, + "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 (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 built custom distributions. We just need to inherit the *Continuous* class and provide our own *logp* method. The code below does just that." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": true, + "deletable": true, + "editable": true + }, + "outputs": [], + "source": [ + "def from_posterior(param, samples):\n", + "\n", + " class From_posterior(Continuous):\n", + " def __init__(self, *args, **kwargs):\n", + " self.from_posterior_logp = _from_posterior_logp()\n", + " super(From_posterior, self).__init__(*args, **kwargs)\n", + " def logp(self, value):\n", + " return self.from_posterior_logp(value)\n", + "\n", + " class From_posterior_logp:\n", + " def __init__(self, samples):\n", + " smin, smax = np.min(samples), np.max(samples)\n", + " self.x = np.linspace(smin, smax, 100)\n", + " self.y = stats.gaussian_kde(samples)(self.x)\n", + " def from_posterior_logp(self, value):\n", + " x, y = self.x, self.y\n", + " y0 = np.min(y) / 10 # what was never sampled should have a small probability but not 0\n", + " return np.array(np.log(np.interp(value, x, y, left=y0, right=y0)))\n", + " \n", + " from_posterior_logp = From_posterior_logp(samples)\n", + "\n", + " def _from_posterior_logp():\n", + " @as_op(itypes=[tt.dscalar], otypes=[tt.dscalar])\n", + " def logp(value):\n", + " return from_posterior_logp.from_posterior_logp(value)\n", + " return logp\n", + "\n", + " return From_posterior(param, testval=np.median(samples))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "deletable": true, + "editable": true + }, + "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. The NUTS sampling method cannot be used anymore since it requires to provide the gradient of the distribution, so we will use Slice sampling. We save the posterior samples for each iteration so that we can plot their distribution and see it changing from one iteration to the next (first iterations are plotted in yellow, last iterations are plotted in red)." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": true, + "deletable": true, + "editable": true + }, + "outputs": [], + "source": [ + "traces = [trace]" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false, + "deletable": true, + "editable": true, + "scrolled": true + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 1000/1000 [00:03<00:00, 331.87it/s]\n", + "100%|██████████| 1000/1000 [00:04<00:00, 236.99it/s]\n", + "100%|██████████| 1000/1000 [00:03<00:00, 307.75it/s]\n", + "100%|██████████| 1000/1000 [00:03<00:00, 315.12it/s]\n", + "100%|██████████| 1000/1000 [00:03<00:00, 320.33it/s]\n", + "100%|██████████| 1000/1000 [00:03<00:00, 266.63it/s]\n", + "100%|██████████| 1000/1000 [00:03<00:00, 328.09it/s]\n", + "100%|██████████| 1000/1000 [00:02<00:00, 334.17it/s]\n", + "100%|██████████| 1000/1000 [00:03<00:00, 319.34it/s]\n", + "100%|██████████| 1000/1000 [00:03<00:00, 326.96it/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", + " burnin = int(len(trace) / 5)\n", + "\n", + " # Priors are posteriors from previous iteration\n", + " alpha = from_posterior('alpha', trace['alpha'][burnin:])\n", + " beta0 = from_posterior('beta0', trace['beta0'][burnin:])\n", + " beta1 = from_posterior('beta1', trace['beta1'][burnin:])\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", + " step = Slice([alpha, beta0, beta1])\n", + " \n", + " # draw 1000 posterior samples\n", + " trace = sample(1000, step=step)\n", + " traces.append(trace)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false, + "deletable": true, + "editable": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Posterior distributions after 51 iterations.\n" + ] + }, + { + "data": { + "image/png": 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ocNsE7PEmkCVrYUEzsHv7nDf5zVHmg10JKABmPQ4zJkGoUmtuM/MgEEZrEoC6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\nx76KS75Fe3eYdJUQjo21+NYWISzf87l+GOJAXCI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CSul1YiTCO0RH1X/g6pTSrkVRPE29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\n+hkUMkG/7Cvf5zaG/to40z/6e43YZPe59CS9+JlMJpPJZDKZzIBja/H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o0okZYmJ1lEJHH2wohLQiKMuCU36nJcDGXKH3WPaMtidtDMTU6fsiILRSr52Q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Z4k8/1n0jJ0C0wLKlrXY7jTHGtJxwg9wX0WoGW0WkWETyG2/NOD5jTHtRsBY+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+ "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][burnin:]\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": { + "deletable": true, + "editable": true + }, + "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 [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": 2 +}