{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Chain Panel\n", "Author(s) Paul Miles | August 7, 2018\n", "\n", "This tutorial provides a demonstration of the chain panel plotting routine available in `mcmcplot`." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# import required packages\n", "import numpy as np\n", "from mcmcplot import mcmatplot as mcm\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": 3, "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": [ "### Default Chain Panel\n", "The chain panel simply demonstrates the sampling history of the chains. Note, the plotting routines output the figure handle as well as a dictionary containing the settings used in generating the plot." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'maxpoints': 500, 'fig': {'figsize': (5, 4), 'dpi': 100}, 'plot': {'color': 'b', 'marker': '.', 'linestyle': 'none'}, 'xlabel': {'s': 'Iteration'}, 'ylabel': {}, 'add_pm2std': False, 'mean': {'color': 'k', 'marker': None, 'linestyle': '-', 'linewidth': 3}, 'sig': {'color': 'r', 'marker': None, 'linestyle': '--', 'linewidth': 3}}\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f, settings = mcm.plot_chain_panel(chains = chain)\n", "print(settings)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Add Lines Represented Mean and $\\pm$ 2 Standard Deviations\n", "We can adjust various aspects of the figure. For example, we can add lines to represent the mean and $\\pm$ 2 standard deviations (adjust the colors), and make the sample points black." ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f, settings = mcm.plot_chain_panel(chains = chain, settings = dict(add_pm2std = True, mean = dict(color = 'b'), plot = dict(color = 'k')))\n", "f.savefig('basic_chain_panel.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As a sanity check we observe that the reported standard deviation for $p_{0}$ was 0.5, and the red lines are roughly at 0 and 2 as expected." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Change Marker Style and Define Parameter Names\n", "We can change the marker style, define the parameter names to be displayed on the plots, and change the dimensions of the figure." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "user_settings = dict(plot = dict(marker = 's', mfc = 'none'), fig = dict(figsize = (6,6)))\n", "names = ['a', 'b', 'c']\n", "f, settings = mcm.plot_chain_panel(chains = chain, names = names, settings = user_settings)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Update Label Features\n", "You can also edit the settings for the axis labels." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "user_settings = dict(ylabel = dict(fontsize = 22))\n", "f, settings = mcm.plot_chain_panel(chains = chain, names = names, settings = user_settings)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Manually Manipulate Plot Features\n", "With the figure handle, you can also individual edit different aspects of the plot. See [matplotlib's documentation](https://matplotlib.org/index.html) for more details on editing figures." ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f, settings = mcm.plot_chain_panel(chains = chain)\n", "ax = f.get_axes()\n", "for ai in ax:\n", " ai.set_ylabel(ylabel = ai.get_ylabel(), fontsize = 22)\n", " ai.set_yticklabels(labels = ai.get_yticklabels(), fontsize = 22)\n", "# reset positions to avoid overlap \n", "f.tight_layout()" ] } ], "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 }