{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Demonstration: Assigning probabilities" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Python/Jupyter set up" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "code_folding": [] }, "outputs": [], "source": [ "%matplotlib inline " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "\n", "import scipy.stats as stats\n", "from scipy.stats import norm, uniform\n", "\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Prior pdfs for straight line model" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Modules needed for Example 1\n", "import emcee" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will define three different priors for the straight line model. Using always a flat prior U(-100,100) for the intercept, and a non-zero pdf range -100 <= slope <= 100." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "def log_flat_prior(theta):\n", " theta = np.asarray(theta, dtype=object)\n", " if np.all(np.abs(theta) < 100*np.ones_like(theta)):\n", " return 0 # log(1)\n", " else:\n", " return -np.inf # log(0)\n", " \n", "def log_jeffreys_prior(theta):\n", " if np.abs(theta[0]) < 100:\n", " return -0.5 * np.log(theta[1] ** 2)\n", " else:\n", " return -np.inf # log(0) \n", " \n", "def log_symmetric_prior(theta):\n", " if np.abs(theta[0]) < 100:\n", " return -1.5 * np.log(1 + theta[1] ** 2)\n", " else:\n", " return -np.inf # log(0)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Let us create 1000 samples from each prior pdf and plot the resulting sample of straight lines.\n", "Since the intercept is uniformly distributed in all three prior alternatives, we will just consider straight lines with intercept 0 since it makes it easier to compare the distribution of slopes." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "def log_prior(th1,logp):\n", " return logp([0,th1])" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "ndim = 1 # number of parameters in the model\n", "nwalkers = 10 # number of MCMC walkers\n", "nburn = 1000 # \"burn-in\" period to let chains stabilize\n", "nsteps = 10000 # number of MCMC steps to take\n", "ncorr = 100 # just keep every ncorr sample\n", "\n", "# we'll start at random locations within the prior volume\n", "np.random.seed(2020)\n", "starting_guesses = 100 * np.random.rand(nwalkers,ndim)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MCMC sampling of log_flat_prior using emcee with 10 walkers\n", "Mean acceptance fraction: 0.827 (in total 100000 steps)\n", "MCMC sampling of log_jeffreys_prior using emcee with 10 walkers\n", "Mean acceptance fraction: 0.441 (in total 100000 steps)\n", "MCMC sampling of log_symmetric_prior using emcee with 10 walkers\n", "Mean acceptance fraction: 0.776 (in total 100000 steps)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = [-1,1]\n", "fig,axs = plt.subplots(1,3, figsize=(12,4), sharex=True, sharey=True)\n", "\n", "for ipr,logpr in enumerate([log_flat_prior,log_jeffreys_prior,log_symmetric_prior]):\n", " np.random.seed(2020)\n", " strprior = str(logpr).split()[1]\n", " print(f\"MCMC sampling of {strprior} using emcee with {nwalkers} walkers\")\n", " sampler = emcee.EnsembleSampler(nwalkers, ndim, log_prior, args=[logpr])\n", "\n", " # \"burn-in\" period; save final positions and then reset\n", " state = sampler.run_mcmc(starting_guesses, nburn)\n", " sampler.reset()\n", "\n", " # sampling period\n", " sampler.run_mcmc(None, nsteps)\n", "\n", " print(f\"Mean acceptance fraction: {np.mean(sampler.acceptance_fraction):.3f}\",\\\n", " f\" (in total {nwalkers*nsteps:.0f} steps)\")\n", "\n", " # discard burn-in points and flatten the walkers; the shape of samples is (nwalkers*nsteps, ndim)\n", " samples = sampler.chain.reshape((-1, ndim))\n", "\n", " # just keep every ncorr sample\n", " samples_sparse = samples[::ncorr]\n", " \n", " for sample in samples_sparse:\n", " axs[ipr].plot(x,x*sample,'k',alpha=0.1)\n", " axs[ipr].set_title(strprior.split('_')[1]+' prior')\n", " \n", "axs[0].set_xlim([0,1]);\n", "axs[0].set_ylim([0,1]);\n", "axs[0].set_xlabel(r'$x$');\n", "axs[0].set_ylabel(r'$y=\\theta x$');\n", "#fig.savefig('slope_priors.png')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Entropy for Scandinavians" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Consider the following table with probabilities for different traits of Scandinavians. It is based on the knowledge that 70% of Scandinavians are blonde and that 10% are left handed. It should be admitted that these numbers are guesses since no reliable data was found, but it will be considered a fact for this study.\n", "\n", "| | Left-handed | Right-handed |\n", "|--|----------------|--------------|\n", "| Blonde | $0\\le x \\le 0.1$ | $0.7 - x$ |\n", "| Not blonde | $0.1 - x$ | $0.2 + x$ |" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "**Question:**\n", "Can you explain why $x \\lt 0.07$ implies a negative correlation between left-handedness and blonde hair, while $x \\gt 0.07$ implies a positive correlation?" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "# Insert your answer here\n", "#" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "def pdf_Scandinavian(x):\n", " '''Returns the pdf (p1,p2,p3,p4)'''\n", " return np.array([x,0.7-x,0.1-x,0.2+x])" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "-sum p log(p): x=0.070\n", "sum sqrt(p(1-p)): x=0.066\n", "sum log(p): x=0.053\n", "-sum p**2*log(p): x=0.100\n" ] } ], "source": [ "x=np.linspace(0.001,0.0999,1000)\n", "pdf = pdf_Scandinavian(x)\n", "fun0=-np.sum(pdf*np.log(pdf),axis=0)\n", "x0 = x[np.argmax(fun0)]\n", "print(f\"-sum p log(p): x={x0:.3f}\")\n", "fun1=np.sum(np.sqrt(pdf*(1.-pdf)),axis=0)\n", "x1 = x[np.argmax(fun1)]\n", "print(f\"sum sqrt(p(1-p)): x={x1:.3f}\")\n", "fun2=np.sum(np.log(pdf),axis=0)\n", "x2 = x[np.argmax(fun2)]\n", "print(f\"sum log(p): x={x2:.3f}\")\n", "fun3=-np.sum(pdf**2*np.log(pdf),axis=0)\n", "x3 = x[np.argmax(fun3)]\n", "print(f\"-sum p**2*log(p): x={x3:.3f}\")" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig,ax = plt.subplots(figsize=(10,8))\n", "ax.plot(x,fun0/np.abs(np.max(fun0)),'k-',label=r'$-p \\log(p)$')\n", "ax.plot(x0,1,'ko')\n", "ax.plot(x,0.9*fun1/np.abs(np.max(fun1)),'b--',label=r'$\\sqrt{p(1-p)}$')\n", "ax.plot(x1,.9,'bo')\n", "ax.plot(x,0.8*(2+fun2/np.abs(np.max(fun2))),'g-.',label=r'$\\log(p)$')\n", "ax.plot(x2,0.8,'go')\n", "ax.plot(x,0.7*fun3/np.abs(np.max(fun3)),'r:',label=r'$-p^2 \\log(p)$')\n", "ax.plot(x3,0.7,'ro')\n", "ax.axvline(0.07)\n", "ax.set_xlabel(r'$x$')\n", "ax.set_ylabel('variational function')\n", "ax.legend(loc='best');" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "celltoolbar": "Slideshow", "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.9.6" } }, "nbformat": 4, "nbformat_minor": 4 }