Created
December 30, 2012 18:27
-
-
Save anonymous/4414264 to your computer and use it in GitHub Desktop.
Conversion of the tutorial code example in PyMC to an ipython notebook
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
{ | |
"metadata": { | |
"name": "PyMC Example" | |
}, | |
"nbformat": 3, | |
"nbformat_minor": 0, | |
"worksheets": [ | |
{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"This notebook follows the examples in the [PyMC tutorial](http://pymc-devs.github.com/pymc/tutorial.html). " | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Import Methods/Functions:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"from pymc import DiscreteUniform, Exponential, \\\n", | |
" MCMC, deterministic, Poisson, \\\n", | |
" Uniform\n", | |
"from pymc.Matplot import plot\n", | |
"import numpy as np" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 1 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Time Series: recorded coal mining disasters in the UK from 1851 to 1962 [Jarrett1979]." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"disasters_array = \\\n", | |
" np.array([ 4, 5, 4, 0, 1, 4, 3, 4, 0, 6, 3, 3, 4, 0, 2, 6,\n", | |
" 3, 3, 5, 4, 5, 3, 1, 4, 4, 1, 5, 5, 3, 4, 2, 5,\n", | |
" 2, 2, 3, 4, 2, 1, 3, 2, 2, 1, 1, 1, 1, 3, 0, 0,\n", | |
" 1, 0, 1, 1, 0, 0, 3, 1, 0, 3, 2, 2, 0, 1, 1, 1,\n", | |
" 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2,\n", | |
" 3, 3, 1, 1, 2, 1, 1, 1, 1, 2, 4, 2, 0, 0, 1, 4,\n", | |
" 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1])\n", | |
"# Plot points to visualize\n", | |
"pylab.ylim(-0.5,7.0)\n", | |
"pylab.plot(disasters_array, '.r',)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "pyout", | |
"prompt_number": 37, | |
"text": [ | |
"[<matplotlib.lines.Line2D at 0x1104262d0>]" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"png": "iVBORw0KGgoAAAANSUhEUgAAAW8AAAD+CAYAAAD1cYRGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nY6S7JxWD7BUAAAAASUVORK5CYII=\n" | |
} | |
], | |
"prompt_number": 37 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Create PyMC Variables: this code needs to be put into a file called disaster_model.py and imported." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"switchpoint = DiscreteUniform('switchpoint', lower=0, upper=110, doc='Switchpoint[year]')\n", | |
"\n", | |
"early_mean = Exponential('early_mean', beta=1.0)\n", | |
"late_mean = Exponential('late_mean', beta=1.)\n", | |
"\n", | |
"@deterministic(plot=False)\n", | |
"def rate(s=switchpoint, e=early_mean, l=late_mean):\n", | |
" out=np.empty(len(disasters_array))\n", | |
" out[:s] = e\n", | |
" out[s:] = l\n", | |
" return out\n", | |
"\n", | |
"disasters = Poisson('disasters', mu=rate, value=disasters_array, observed=True)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Import model and fit with MCMC" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"import disaster_model\n", | |
"M = MCMC(disaster_model)\n", | |
"M.sample(iter=10000,burn=1000,thin=10)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Plot Output:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"plot(M)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"stream": "stdout", | |
"text": [ | |
"Plotting switchpoint\n", | |
"Plotting" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"stream": "stdout", | |
"text": [ | |
" late_mean\n", | |
"Plotting" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"stream": "stdout", | |
"text": [ | |
" early_mean\n" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"png": "iVBORw0KGgoAAAANSUhEUgAAAlgAAAFvCAYAAACW8bVUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n" | |
}, | |
{ | |
"output_type": "display_data", | |
"png": "iVBORw0KGgoAAAANSUhEUgAAAloAAAFvCAYAAACSBGVpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n8v8AHSs6Lc8YR/YAAAAASUVORK5CYII=\n" | |
}, | |
{ | |
"output_type": "display_data", | |
"png": "iVBORw0KGgoAAAANSUhEUgAAAlsAAAFvCAYAAAB9xg5XAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n" | |
} | |
], | |
"prompt_number": 27 | |
} | |
], | |
"metadata": {} | |
} | |
] | |
} |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment