From 74c89df1fcc6a98835e918715d7439e2380c35f0 Mon Sep 17 00:00:00 2001 From: "jaehyuk.park" Date: Fri, 8 Jun 2018 09:59:43 -0400 Subject: [PATCH] Add files via upload --- notebooks/Chapter7.ipynb | 270 +++++++++++++++++++++++++++++++++++++++ 1 file changed, 270 insertions(+) create mode 100644 notebooks/Chapter7.ipynb diff --git a/notebooks/Chapter7.ipynb b/notebooks/Chapter7.ipynb new file mode 100644 index 0000000..29efedf --- /dev/null +++ b/notebooks/Chapter7.ipynb @@ -0,0 +1,270 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "%matplotlib inline\n", + "import matplotlib.pyplot as plt\n", + "plt.rcParams['lines.linewidth'] = 2\n", + "plt.rcParams['lines.color'] = 'r'\n", + "plt.rcParams['font.size'] = 15\n", + "plt.rcParams['axes.labelsize'] = 20\n", + "plt.rcParams['axes.titlesize'] = 10\n", + "plt.rcParams['xtick.labelsize'] = 12\n", + "plt.rcParams['ytick.labelsize'] = 12\n", + "plt.rcParams['legend.fontsize'] = 10\n", + "plt.rcParams[\"axes.edgecolor\"] = \"black\"\n", + "plt.rcParams['axes.titlesize'] = 24\n", + "plt.rcParams['figure.figsize'] = 8, 8\n", + "from IPython.display import Image" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/usr/local/lib/python3.6/site-packages/h5py/__init__.py:36: FutureWarning: Conversion of the second argument of issubdtype from `float` to `np.floating` is deprecated. In future, it will be treated as `np.float64 == np.dtype(float).type`.\n", + " from ._conv import register_converters as _register_converters\n" + ] + } + ], + "source": [ + "from scipy.stats import beta, binom\n", + "import pymc3 as pm\n", + "import numpy as np" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exercises\n", + "\n", + "### Exercise 7.1. \n", + "[Purpose: Experiment with the Metropolis algorithm as displayed in Figure 7.4.] Open the program named BernMetrop.R from the files hat accompany this book. The script implements a Metropolis algorithm for Figure 7.4 Midway through the script, you will find a line that specifies the SD of the proposal distribution:\n", + "\n", + "proposalSD = c(0.02,0.2,2.0)[2]\n", + "\n", + "The line may look strange but it’s merely a vector of constants with an index at the end to specify which component should be used. Thus, it’s a simple way of specifying three options and then selecting one option. Run the script three times, once with each option (i.e., once with [1], once with [2], and once with [3]). There is also a line that specifies the seed for the random number generator; comment it out so that you get a different trajectory than the ones shown in Figure 7.4. Notice at the end of the script that you can specify the format of the graphic file for saving the resulting graph. Include the graphs in your write-up and describe whether they show similar behavior as the corresponding trajectories in Figure 7.4. Be sure to discuss the ESS.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 126, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Multiprocess sampling (2 chains in 2 jobs)\n", + "Metropolis: [p_logodds__]\n", + "100%|██████████| 50500/50500 [00:06<00:00, 7452.92it/s]\n", + "The number of effective samples is smaller than 10% for some parameters.\n", + "Multiprocess sampling (2 chains in 2 jobs)\n", + "Metropolis: [p_logodds__]\n", + "100%|██████████| 50500/50500 [00:06<00:00, 7760.76it/s]\n", + "The number of effective samples is smaller than 25% for some parameters.\n", + "Multiprocess sampling (2 chains in 2 jobs)\n", + "Metropolis: [p_logodds__]\n", + "100%|██████████| 50500/50500 [00:06<00:00, 8273.63it/s]\n", + "The number of effective samples is smaller than 25% for some parameters.\n" + ] + } + ], + "source": [ + "z = 14\n", + "N = 20\n", + "a, b = 1, 1\n", + "\n", + "thetas = np.linspace(0,1,1001)\n", + "\n", + "with pm.Model() as model:\n", + " samples = 1000\n", + " # prior\n", + " p = pm.Beta('p', a, b)\n", + " # likelihood\n", + " y = pm.Binomial('y', n=N, p=p, observed=z)\n", + " \n", + " step1 = pm.Metropolis(S=np.array([0.02]))\n", + " step2 = pm.Metropolis(S=np.array([0.2]))\n", + " step3 = pm.Metropolis(S=np.array([2]))\n", + "\n", + " trace1 = pm.sample(50000, step=step1, progressbar=True, chains=2)\n", + " trace2 = pm.sample(50000, step=step2, progressbar=True, chains=2)\n", + " trace3 = pm.sample(50000, step=step3, progressbar=True, chains=2)" + ] + }, + { + "cell_type": "code", + "execution_count": 130, + "metadata": {}, + "outputs": [], + "source": [ + "effs1 = pm.effective_n(trace1)['p']\n", + "effs2 = pm.effective_n(trace2)['p']\n", + "effs3 = pm.effective_n(trace3)['p']" + ] + }, + { + "cell_type": "code", + "execution_count": 142, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 142, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axs = plt.subplots(3,3, figsize=(12, 8))\n", + "\n", + "x = [i for i in range(100)]\n", + "\n", + "pm.plots.plot_posterior(trace1, label='post', color = 'lightsteelblue', ax = axs[0,0], point_estimate = 'mode')\n", + "axs[0,0].set_title('Prpsl.SD = 0.02, Eff.Sz. = {}'.format(effs1), fontsize=10)\n", + "axs[1,0].plot(trace1['p'][:100], x)\n", + "axs[2,0].plot(trace1['p'][49900:50000], x)\n", + "\n", + "pm.plots.plot_posterior(trace2, label='post', color = 'lightsteelblue', ax = axs[0,1], point_estimate = 'mode')\n", + "axs[0,1].set_title('Prpsl.SD = 0.2, Eff.Sz. = {}'.format(effs2), fontsize=10)\n", + "axs[1,1].plot(trace2['p'][:100], x)\n", + "axs[2,1].plot(trace2['p'][49900:50000], x)\n", + "\n", + "pm.plots.plot_posterior(trace3, label='post', color = 'lightsteelblue', ax = axs[0,2], point_estimate = 'mode')\n", + "axs[0,2].set_title('Prpsl.SD = 2, Eff.Sz. = {}'.format(effs3), fontsize=10)\n", + "axs[1,2].plot(trace3['p'][:100], x)\n", + "axs[2,2].plot(trace3['p'][49900:50000], x)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercise 7.2. \n", + "[Purpose: To explore the autocorrelation function in Fig- ure 7.12.] At the end of the script BernMetrop.R, add these lines:\n" + ] + }, + { + "cell_type": "code", + "execution_count": 173, + "metadata": {}, + "outputs": [], + "source": [ + "import statsmodels.api as sm\n", + "acf_list = sm.tsa.stattools.acf(trace1['p'], nlags=10)\n", + "acf_lag_1 = acf_list[1]\n", + "acf_lag_5 = acf_list[5]\n", + "acf_lag_10 = acf_list[10]" + ] + }, + { + "cell_type": "code", + "execution_count": 178, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[,\n", + " ]],\n", + " dtype=object)" + ] + }, + "execution_count": 178, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axs = plt.subplots(2,3, figsize=(12, 6))\n", + "\n", + "axs[0,0].plot(trace1['p'][:100])\n", + "axs[0,0].plot(trace1['p'][1:101])\n", + "axs[0,0].plot(trace1['p'][2:102])\n", + "axs[1,0].scatter(trace1['p'][1:101], trace1['p'][:100])\n", + "axs[1,0].set_title('ACF(1) = {}'.format(acf_lag_1), fontsize=10)\n", + "\n", + "axs[0,1].plot(trace1['p'][:100])\n", + "axs[0,1].plot(trace1['p'][5:105])\n", + "axs[0,1].plot(trace1['p'][10:110])\n", + "axs[1,1].scatter(trace1['p'][5:105], trace1['p'][:100])\n", + "axs[1,1].set_title('ACF(5) = {}'.format(acf_lag_5), fontsize=10)\n", + "\n", + "axs[0,2].plot(trace1['p'][:100])\n", + "axs[0,2].plot(trace1['p'][10:110])\n", + "axs[0,2].plot(trace1['p'][20:120])\n", + "axs[1,2].scatter(trace1['p'][10:110], trace1['p'][:100])\n", + "axs[1,2].set_title('ACF(10) = {}'.format(acf_lag_10), fontsize=10)\n", + "plt.tight_layout()\n", + "pm.autocorrplot(trace1)\n", + "\n" + ] + } + ], + "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": "3.6.4" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +}