{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "https://pymc-devs.github.io/pymc/tutorial.html#dag" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Adapated from the pymc coal mining disaster example" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/kersten/anaconda/envs/pymc3/lib/python2.7/site-packages/matplotlib/font_manager.py:273: UserWarning: Matplotlib is building the font cache using fc-list. This may take a moment.\n", " warnings.warn('Matplotlib is building the font cache using fc-list. This may take a moment.')\n" ] } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from pymc3 import Model, Normal, HalfNormal,sampling\n", "\n", "from pymc3 import find_MAP\n", "\n", "\n", "from pymc3 import NUTS, sample\n", "from scipy import optimize\n", "\n", "from pymc3 import traceplot, summary\n", "\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from pymc3 import Exponential, StudentT, Deterministic\n", "from pymc3.math import exp\n", "from pymc3.distributions.timeseries import GaussianRandomWalk" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "x = np.linspace(1, 1000, 1000)\n", "spikes = np.piecewise(x, [x < 453, x >= 453], [35, 39])\n", "noise = np.ceil(4.*np.random.randn(1000))\n", "spikes_data = spikes + noise\n", "spikes_data[999]=-1 ;" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAiIAAAF5CAYAAACiFUGDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nVwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rate_data = np.ma.masked_values(spikes_data, value = -1)\n", "\n", "time = np.arange(0, 1000)\n", "\n", "plt.plot(time, rate_data, 'o', markersize=1);\n", "plt.ylabel(\"Rate\")\n", "plt.xlabel(\"Time\")" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(1000,)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.shape(rate_data)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Applied log-transform to early_rate and added transformed early_rate_log_ to model.\n", "Applied log-transform to late_rate and added transformed late_rate_log_ to model.\n" ] } ], "source": [ "from pymc3 import DiscreteUniform, Poisson\n", "from pymc3.math import switch\n", "\n", "with Model() as rate_model:\n", "\n", " switchpoint = DiscreteUniform('switchpoint', lower=time.min(), upper=time.max(), testval=500)\n", "\n", " # Priors for pre- and post-switch rates number of spikes\n", " early_rate = Exponential('early_rate', 1./25)\n", " late_rate = Exponential('late_rate', 1./25)\n", "\n", " # Allocate appropriate Poisson rates to time before and after current\n", " rate = switch(switchpoint >= time, early_rate, late_rate)\n", "\n", " spikes = Poisson('spikes', rate, observed=rate_data)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import theano.tensor as T" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$f(x \\mid \\lambda) = \\lambda \\exp\\left\\{ -\\lambda x \\right\\}$" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "rate = switch(switchpoint >= time, early_rate, late_rate)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "switchpoint __str__ = 500\n", "early_rate __str__ = 17.3286789401\n", "late_rate __str__ = 17.3286789401\n" ] } ], "source": [ "switchpoint_print = T.printing.Print('switchpoint')(switchpoint)\n", "early_rate_print = T.printing.Print('early_rate')(early_rate)\n", "late_rate_print = T.printing.Print('late_rate')(late_rate)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 1000/1000 [00:01<00:00, 862.11it/s]\n" ] } ], "source": [ "from pymc3 import Metropolis\n", "\n", "with rate_model:\n", " step1 = NUTS([early_rate, late_rate])\n", "\n", " # Use Metropolis for switchpoint, and missing values since it accommodates discrete variables\n", " step2 = Metropolis([switchpoint, spikes.missing_values[0]])\n", "\n", " trace = sample(1000, step=[step1, step2])" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABKYAAAMWCAYAAADLc44dAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nA7BMDaHuBsB3AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "traceplot(trace);" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "true switchpoint is at 453. true early mean is 39, and late mean is 35" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [], "source": [ "ppc = sampling.sample_ppc(trace, samples=1000, model=rate_model, size=10)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python [conda env:pymc3]", "language": "python", "name": "conda-env-pymc3-py" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.12" } }, "nbformat": 4, "nbformat_minor": 1 }