{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## True Rosenbrock Posterior Calculation Using Emcee \n", "\n", "---\n", "\n", "David P. Fleming, 2019\n", "\n", "This notebook demonstrates how to use the Metropolis-Hastings MCMC algorithm to derive the posterior distribution for the Rosenbrock function example presented in Wang & Li (2017) using emcee.\n", "\n", "See https://emcee.readthedocs.io/en/stable/ for more information on emcee." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "from approxposterior import likelihood as lh\n", "from approxposterior import mcmcUtils\n", "\n", "import numpy as np\n", "import emcee\n", "import corner\n", "import matplotlib as mpl\n", "import matplotlib.pyplot as plt\n", "mpl.rcParams.update({'font.size': 18})" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "np.random.seed(42)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Set up MCMC initial conditions**\n", "\n", "---" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "ndim = 2 # Number of dimensions\n", "nsteps = 20000 # Number of MCMC iterations\n", "\n", "nwalk = 20 * ndim # Use 20 walkers per dimension\n", "\n", "# Initial guess for walkers (random over prior)\n", "p0 = [lh.rosenbrockSample(1) for j in range(nwalk)]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Initialize MCMC Ensemble Sampler object**\n", "\n", "---\n", "\n", "Note that here, we use the ```lh.rosenbrock_lnprob``` function that computes the log-likelihood plus the log-prior for the Rosenbrock function model as described in Wang & Li (2017). The functions used to compute this example is provided in ```approxposterior```. See ```example.py``` in ```approxposterior```'s ```examples``` directory for to see how ```approxposterior```'s BAPE algorithm approximates the Rosenbrock function posterior derived in this notebook." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "sampler = emcee.EnsembleSampler(nwalk, ndim, lh.rosenbrockLnprob)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Run the MCMC!**\n", "\n", "---\n", "\n", "After the MCMC run finishes, we estimate the burn in following the example in the emcee documentation." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "emcee finished!\n" ] } ], "source": [ "sampler.run_mcmc(p0, nsteps)\n", "print(\"emcee finished!\")" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of iterations: 20000\n", "Likely converged if iterations > 50 * (integrated autocorrelation time, tau).\n", "Number of iterations / tau: [152.45258457 288.91391155]\n" ] } ], "source": [ "# Compute acceptance fraction for each walker\n", "print(\"Number of iterations: %d\" % sampler.iteration)\n", "\n", "# Is the length of the chain at least 50 tau?\n", "print(\"Likely converged if iterations > 50 * (integrated autocorrelation time, tau).\")\n", "print(\"Number of iterations / tau:\", sampler.iteration / sampler.get_autocorr_time(tol=0))" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "262\n" ] } ], "source": [ "iburn = int(2.0*np.max(sampler.get_autocorr_time(tol=0)))\n", "print(iburn)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Let's visually inspect the chains to see if they're converged.**\n", "\n", "---\n", "\n", "The blue dashed line corresponds to our burn in estimate." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(nrows=2, sharex=True, figsize=(16,8))\n", "\n", "# Plot allllll the walkers and chains\n", "ax[0].plot(sampler.chain[:,:,0].T, '-', color='k', alpha=0.3);\n", "ax[1].plot(sampler.chain[:,:,1].T, '-', color='k', alpha=0.3);\n", "\n", "# Plot where the burn in is\n", "ax[0].axvline(iburn, ls=\"--\", color=\"C0\", lw=2.5)\n", "ax[1].axvline(iburn, ls=\"--\", color=\"C0\", lw=2.5)\n", "\n", "# Formatting\n", "ax[0].set_xlim(0,nsteps)\n", "ax[1].set_xlim(0,nsteps)\n", "ax[0].set_ylabel(\"Parameter 0\")\n", "ax[1].set_ylabel(\"Parameter 1\")\n", "ax[1].set_xlabel(\"Iterations\")\n", "\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Looks good! Let's plot the joint and marginal posterior distributions.**\n", "\n", "---" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = corner.corner(sampler.get_chain(discard=iburn, flat=True, thin=int(iburn/4.0)),\n", " quantiles=[0.16, 0.5, 0.84],\n", " plot_contours=True, show_titles=True);\n", "\n", "fig.savefig(\"true_post.pdf\", bbox_inches=\"tight\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Neat. Now let's save the sampler object and burn in time into a numpy archive so we can compare our approximate distributions with the truth derived here to see how accurate ```approxposterior``` (in another notebook...)!" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "np.savez(\"trueRosenbrock.npz\", \n", " flatchain=sampler.flatchain,\n", " iburn=iburn)" ] } ], "metadata": { "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": "3.7.6" } }, "nbformat": 4, "nbformat_minor": 4 }