{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Joint Distributions\n", "Author(s) Paul Miles | August 7, 2018\n", "\n", "This tutorial provides a demonstration of the joint distributions plotting routine available in `mcmcplot`." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "# import required packages\n", "import numpy as np\n", "from mcmcplot import mcseaborn as mcs\n", "import warnings\n", "warnings.filterwarnings(\"ignore\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Generate Random Chains\n", "The plotting routines are designed to be used in conjunction with the result of a MCMC simulation. For the purpose of this example, we consider a randomly generated chain. We will consider a chain with 3 parameters that have the following distributions:\n", "- $p_{0} \\sim N(1.0, 0.5)$\n", "- $p_{1} \\sim N(2.5, 3.0)$\n", "- $p_{2} \\sim N(-1.3, 0.75)$" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "nsimu = 1000\n", "npar = 3\n", "mu = np.array([1.0, 2.5, -1.3])\n", "sig = np.array([0.5, 3.0, 0.75])\n", "chain = np.zeros([nsimu, npar])\n", "for ii in range(npar):\n", " chain[:,ii] = sig[ii]*np.random.randn(nsimu,) + mu[ii]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot Default Joint Distributions\n", "This routine will generate a joint distribution plot for each parameter combination in the chain. For this example, `npar = 3`, so 3 different plots will be generated representing the combinations:\n", "- $p_0$, $p_1$\n", "- $p_0$, $p_2$\n", "- $p_1$, $p_2$\n", "\n", "Note, that each function call returns the figure handles as well as the settings used to generate the plots." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fjd, used_settings = mcs.plot_joint_distributions(chains = chain, settings = None)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Change the Type of Joint Plot, Figure Size, and Color\n", "We can easily adjust the type of joint plot, size of the figure, and color map defining the following settings." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "settings = {'jointplot': {'kind': 'hex', 'height': 4, 'color': 'g'}}\n", "fjd, used_settings = mcs.plot_joint_distributions(chains = chain[:,0:2], settings = settings)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "settings = {'jointplot': {'kind': 'reg', 'height': 6, 'color': 'b'}}\n", "fjd, used_settings = mcs.plot_joint_distributions(chains = chain[:,0:2], settings = settings)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Edit the seaborn Style\n", "The default seaborn style is `white`, but it can be changed by defining the `sns_style` variable. Each style has it's own settings, so see the [seaborn style documentation](https://seaborn.pydata.org/tutorial/aesthetics.html) for details." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "settings = {'jointplot': {'kind': 'scatter', 'height': 4, 'color': 'k'}}\n", "fjd, used_settings = mcs.plot_joint_distributions(chains = chain[:,0:2], sns_style='dark', settings = settings)\n", "\n", "settings = {'sns': {'figure.facecolor': 'yellow'}}\n", "fjd, used_settings = mcs.plot_joint_distributions(chains = chain[:,0:2], settings = settings)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Manually Edit Features\n", "As seaborn is built on top of matplotlib, you can edit various plot features in the same way. The output from the `plot_joint_distributions` method will contain the figure handles inside a `list`." ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fjd, used_settings = mcs.plot_joint_distributions(chains = chain[:,0:2], settings = None)\n", "a = fjd[0].ax_joint;\n", "a.set_xticklabels(a.get_xticklabels(), fontsize = 22);\n", "a.set_yticklabels(a.get_yticklabels(), fontsize = 22);\n", "a.set_xlabel(a.get_xlabel(), fontsize = 22);\n", "a.set_ylabel(a.get_ylabel(), fontsize = 22);\n", "f = fjd[0]\n", "f.savefig('basic_joint_distributions.png')" ] } ], "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": "3.6.6" } }, "nbformat": 4, "nbformat_minor": 2 }