{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Think Bayes\n", "\n", "This notebook presents code and exercises from Think Bayes, second edition.\n", "\n", "Copyright 2018 Allen B. Downey\n", "\n", "MIT License: https://opensource.org/licenses/MIT" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Configure Jupyter so figures appear in the notebook\n", "%matplotlib inline\n", "\n", "# Configure Jupyter to display the assigned value after an assignment\n", "%config InteractiveShell.ast_node_interactivity='last_expr_or_assign'\n", "\n", "import math\n", "import numpy as np\n", "\n", "from thinkbayes2 import Pmf, Cdf, Suite, Joint\n", "import thinkplot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The flea beetle problem\n", "\n", "Different species of flea beetle can be distinguished by the width and angle of the aedeagus. The data below includes measurements and know species classification for 74 specimens.\n", "\n", "Suppose you discover a new specimen under conditions where it is equally likely to be any of the three species. You measure the aedeagus and width 140 microns and angle 15 (in multiples of 7.5 degrees). What is the probability that it belongs to each species?\n", "\n", "This problem is based on [this data story on DASL](https://web.archive.org/web/20160304083805/http://lib.stat.cmu.edu/DASL/Datafiles/FleaBeetles.html)\n", "\n", "Datafile Name: Flea Beetles\n", "\n", "Datafile Subjects: Biology\n", "\n", "Story Names: Flea Beetles\n", "\n", "Reference: Lubischew, A.A. (1962) On the use of discriminant functions in taxonomy. Biometrics, 18, 455-477. Also found in: Hand, D.J., et al. (1994) A Handbook of Small Data Sets, London: Chapman & Hall, 254-255.\n", "\n", "Authorization: Contact Authors\n", "\n", "Description: Data were collected on the genus of flea beetle Chaetocnema, which contains three species: concinna (Con), heikertingeri (Hei), and heptapotamica (Hep). Measurements were made on the width and angle of the aedeagus of each beetle. The goal of the original study was to form a classification rule to distinguish the three species.\n", "\n", "Number of cases: 74\n", "\n", "Variable Names:\n", "\n", "Width: The maximal width of aedeagus in the forpart (in microns)\n", "\n", "Angle: The front angle of the aedeagus (1 unit = 7.5 degrees)\n", "\n", "Species: Species of flea beetle from the genus Chaetocnema\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To solve this problem we have to account for two sources of uncertainty: given the data, we have some uncertainty about the actual distribution of attributes. Then, given the measurements, we have uncertainty about which species we have.\n", "\n", "First I'll load the data." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(140, 15)" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "measurements = (140, 15)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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WidthAngleSpecies
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" ], "text/plain": [ " Width Angle Species\n", "0 150 15 Con\n", "1 147 13 Con\n", "2 144 14 Con\n", "3 144 16 Con\n", "4 153 13 Con" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import pandas as pd\n", "\n", "df = pd.read_csv('../data/flea_beetles.csv', delimiter='\\t')\n", "df.head()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "def plot_cdfs(df, col):\n", " for name, group in df.groupby('Species'):\n", " cdf = Cdf(group[col], label=name)\n", " thinkplot.Cdf(cdf)\n", " \n", " thinkplot.Config(xlabel=col, legend=True, loc='lower right')" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_cdfs(df, 'Width')" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_cdfs(df, 'Angle')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following class estimates the mean and standard deviation of a normal distribution, given the data:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "from scipy.stats import norm\n", "from thinkbayes2 import EvalNormalPdf\n", "\n", "class Beetle(Suite, Joint):\n", " \n", " def Likelihood(self, data, hypo):\n", " \"\"\"\n", " data: sequence of measurements\n", " hypo: mu, sigma\n", " \"\"\"\n", " mu, sigma = hypo\n", " likes = EvalNormalPdf(data, mu, sigma)\n", " return np.prod(likes)\n", " \n", " def PredictiveProb(self, data):\n", " \"\"\"Compute the posterior total probability of a datum.\n", " \n", " data: sequence of measurements\n", " \"\"\"\n", " total = 0\n", " for (mu, sigma), prob in self.Items():\n", " likes = norm.pdf(data, mu, sigma)\n", " total += prob * np.prod(likes)\n", " return total" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can estimate parameters for the widths, for each of the three species." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "from itertools import product\n", "\n", "def MakeWidthSuite(data):\n", " mus = np.linspace(115, 160, 51)\n", " sigmas = np.linspace(1, 10, 51)\n", " suite = Beetle(product(mus, sigmas))\n", " suite.Update(data)\n", " return suite" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "groups = df.groupby('Species')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here are the posterior distributions for mu and sigma, and the predictive probability of the width measurement, for each species." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Con 0.03801974738109857\n", "Hei 0.0008566504685267518\n", "Hep 0.08356251828048568\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for name, group in groups:\n", " suite = MakeWidthSuite(group.Width)\n", " thinkplot.Contour(suite)\n", " print(name, suite.PredictiveProb(140))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can do the same thing for the angles." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "def MakeAngleSuite(data):\n", " mus = np.linspace(8, 16, 101)\n", " sigmas = np.linspace(0.1, 2, 101)\n", " suite = Beetle(product(mus, sigmas))\n", " suite.Update(data)\n", " return suite" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Con 0.26032388557956415\n", "Hei 0.2846109227983482\n", "Hep 0.00011381214875336172\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for name, group in groups:\n", " suite = MakeAngleSuite(group.Angle)\n", " thinkplot.Contour(suite)\n", " print(name, suite.PredictiveProb(15))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These posterior distributions are used to compute the likelihoods of the measurements." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "class Species:\n", " \n", " def __init__(self, name, suite_width, suite_angle):\n", " self.name = name\n", " self.suite_width = suite_width\n", " self.suite_angle = suite_angle\n", " \n", " def __str__(self):\n", " return self.name\n", " \n", " def Likelihood(self, data):\n", " width, angle = data\n", " like1 = self.suite_width.PredictiveProb(width)\n", " like2 = self.suite_angle.PredictiveProb(angle)\n", " return like1 * like2" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "species = {}\n", "\n", "for name, group in groups:\n", " suite_width = MakeWidthSuite(group.Width)\n", " suite_angle = MakeAngleSuite(group.Angle)\n", " species[name] = Species(name, suite_width, suite_angle)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For example, here's the likelihood of the data given that the species is 'Con'" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.009897448367001037" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "species['Con'].Likelihood(measurements)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can make a `Classifier` that uses the `Species` objects as hypotheses." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "class Classifier(Suite):\n", " \n", " def Likelihood(self, data, hypo):\n", " return hypo.Likelihood(data)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Con 0.3333333333333333\n", "Hei 0.3333333333333333\n", "Hep 0.3333333333333333\n" ] } ], "source": [ "suite = Classifier(species.values())\n", "for hypo, prob in suite.Items():\n", " print(hypo, prob)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Con 0.975044012598624\n", "Hei 0.024019070405034634\n", "Hep 0.0009369169963412622\n" ] } ], "source": [ "suite.Update(measurements)\n", "for hypo, prob in suite.Items():\n", " print(hypo, prob)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Now with MCMC\n", "\n", "Based on [this example](https://docs.pymc.io/notebooks/LKJ.html)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "from warnings import simplefilter\n", "simplefilter('ignore', FutureWarning)\n", "\n", "import pymc3 as pm" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 1.91523279, -0.65515223],\n", " [ 0.18981608, -1.80343534],\n", " [ 1.2697792 , -1.94979024],\n", " ...,\n", " [ 1.42094602, -2.86056394],\n", " [ 1.43987339, -2.38482556],\n", " [-0.24777841, -1.02179959]])" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "N = 10000\n", "\n", "μ_actual = np.array([1, -2])\n", "Σ_actual = np.array([[0.5, -0.3],\n", " [-0.3, 1.]])\n", "\n", "x = np.random.multivariate_normal(μ_actual, Σ_actual, size=N)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Con\n", "[[ 0.31661905 -0.09690476]\n", " [-0.09690476 0.79047619]]\n", "Hei\n", "[[ 0.21369892 -0.03268817]\n", " [-0.03268817 1.21290323]]\n", "Hep\n", "[[ 0.17160173 -0.05021645]\n", " [-0.05021645 0.94372294]]\n" ] } ], "source": [ "df['Width10'] = df.Width / 10\n", "\n", "observed = {}\n", "for name, group in df.groupby('Species'):\n", " observed[name] = group[['Width10', 'Angle']].values\n", " print(name)\n", " print(np.cov(np.transpose(observed[name])))" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[15. , 15. ],\n", " [14.7, 13. ],\n", " [14.4, 14. ],\n", " [14.4, 16. ],\n", " [15.3, 13. ],\n", " [14. , 15. ],\n", " [15.1, 14. ],\n", " [14.3, 14. ],\n", " [14.4, 14. ],\n", " [14.2, 15. ],\n", " [14.1, 13. ],\n", " [15. , 15. ],\n", " [14.8, 13. ],\n", " [15.4, 15. ],\n", " [14.7, 14. ],\n", " [13.7, 14. ],\n", " [13.4, 15. ],\n", " [15.7, 14. ],\n", " [14.9, 13. ],\n", " [14.7, 13. ],\n", " [14.8, 14. ]])" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x = observed['Con']" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "with pm.Model() as model:\n", " packed_L = pm.LKJCholeskyCov('packed_L', n=2,\n", " eta=2, sd_dist=pm.HalfCauchy.dist(2.5))" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "with model:\n", " L = pm.expand_packed_triangular(2, packed_L)\n", " Σ = pm.Deterministic('Σ', L.dot(L.T))" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "with model:\n", " μ = pm.Normal('μ', 0., 10., shape=2,\n", " testval=x.mean(axis=0))\n", " obs = pm.MvNormal('obs', μ, chol=L, observed=x)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [μ, packed_L]\n", "Sampling 4 chains: 100%|██████████| 6000/6000 [00:07<00:00, 790.06draws/s] \n" ] } ], "source": [ "with model:\n", " trace = pm.sample(1000)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.traceplot(trace);" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([14.61898148, 14.09022475])" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "μ_post = trace['μ'].mean(axis=0)" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 0.38057097, -0.09206891],\n", " [-0.09206891, 0.93929195]])" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Σ_post = trace['Σ'].mean(axis=0)" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "from statsmodels.stats.moment_helpers import cov2corr\n", "\n", "from scipy.stats import multivariate_normal" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 1. , -0.15399084],\n", " [-0.15399084, 1. ]])" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cov2corr(Σ_post)" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.11689224823455156" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "measured = (14, 15)\n", "\n", "total = 0\n", "for row in trace:\n", " total += multivariate_normal.pdf(measured, mean=row['μ'], cov=row['Σ'])\n", " \n", "total / len(trace)" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "def compute_posterior_likelihood(measured, species):\n", " x = observed[species]\n", " \n", " with pm.Model() as model:\n", " packed_L = pm.LKJCholeskyCov('packed_L', n=2,\n", " eta=2, sd_dist=pm.HalfCauchy.dist(2.5))\n", " L = pm.expand_packed_triangular(2, packed_L)\n", " Σ = pm.Deterministic('Σ', L.dot(L.T))\n", " μ = pm.Normal('μ', 0., 10., shape=2,\n", " testval=x.mean(axis=0))\n", " obs = pm.MvNormal('obs', μ, chol=L, observed=x)\n", " trace = pm.sample(1000)\n", " \n", " total = 0\n", " for row in trace:\n", " total += multivariate_normal.pdf(measured, mean=row['μ'], cov=row['Σ'])\n", " \n", " return total / len(trace)" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Suite({'Con': 0.3333333333333333, 'Hep': 0.3333333333333333, 'Hei': 0.3333333333333333})" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "suite = Suite(['Con', 'Hep', 'Hei'])" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [μ, packed_L]\n", "Sampling 4 chains: 100%|██████████| 6000/6000 [00:07<00:00, 787.81draws/s] \n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Con 0.11334011474500565\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [μ, packed_L]\n", "Sampling 4 chains: 100%|██████████| 6000/6000 [00:08<00:00, 692.71draws/s] \n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Hep 6.370013033764092e-05\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [μ, packed_L]\n", "Sampling 4 chains: 100%|██████████| 6000/6000 [00:06<00:00, 898.65draws/s] \n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Hei 0.0019856257718865135\n" ] } ], "source": [ "for hypo in suite:\n", " like = compute_posterior_likelihood(measured, hypo)\n", " print(hypo, like)\n", " suite[hypo] *= like" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.03846314688240993" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "suite.Normalize()" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Con 0.9822399182218988\n", "Hei 0.017208037067767717\n", "Hep 0.0005520447103334685\n" ] } ], "source": [ "suite.Print()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "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": "3.6.5" } }, "nbformat": 4, "nbformat_minor": 2 }