Skip to content

Instantly share code, notes, and snippets.

@taku-y
Created September 1, 2016 10:11
Show Gist options
  • Star 0 You must be signed in to star a gist
  • Fork 0 You must be signed in to fork a gist
  • Save taku-y/65b0887335984ae9140b90c20eecd91f to your computer and use it in GitHub Desktop.
Save taku-y/65b0887335984ae9140b90c20eecd91f to your computer and use it in GitHub Desktop.
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Check samples from Dirichlet distribution with PyMC3"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"application/javascript": [
"IPython.notebook.set_autosave_interval(0)"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Autosave disabled\n",
"Applied stickbreaking-transform to p and added transformed p_stickbreaking_ to model.\n",
" [-----------------100%-----------------] 2000 of 2000 complete in 0.7 sec\n",
"38 1021\n",
" [-----------------100%-----------------] 2000 of 2000 complete in 0.3 sec\n",
"32 1467\n"
]
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA1YAAACKCAYAAACpSNuiAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7ff90640dcf8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA1YAAACKCAYAAACpSNuiAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nXCL/D3xcxXNVlraLAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7ff90642f550>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%autosave 0\n",
"%matplotlib inline\n",
"\n",
"import os, sys\n",
"sys.path.insert(0, os.path.expanduser('~/work/git/github/pymc-devs/pymc3'))\n",
"\n",
"from pymc3 import *\n",
"import numpy as np\n",
"\n",
"n = 3\n",
"a = 1.0\n",
"\n",
"# stickbreaking is the default transform\n",
"with Model() as test_stickbreaking:\n",
" alphas = a * np.ones(n)\n",
" p = Dirichlet('p', a = alphas, shape = (n,))\n",
" m1 = Metropolis(p)\n",
" trace1 = sample(2000, step=m1)\n",
"\n",
"with Model() as test_none:\n",
" alphas = a * np.ones(n)\n",
" p = Dirichlet('p', a = alphas, shape = (n,), transform=None)\n",
" m2 = Metropolis(p)\n",
" trace2 = sample(2000, step=m2)\n",
"\n",
"traceplot(trace1)\n",
"traceplot(trace2)"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def to_simplex(xs):\n",
" assert((xs.ndim == 2) and xs.shape[1] == 3)\n",
" \n",
" center = (1 / 3.0) * np.ones(3)\n",
" e_ = np.array([[-1.0, 1.0, 0.0], \n",
" [-0.5, -0.5, 1.0]]).T\n",
" e = e_ / np.sqrt(np.sum(e_**2, axis=0))\n",
" e[:, 0] = e[:, 0] * np.sqrt(2)\n",
" e[:, 1] = e[:, 1] * np.sqrt(1 + 0.5)\n",
" \n",
" return (xs - center).dot(e)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can see that samples drawn with stick-breaking transformation distribute uniformly on the simplex in the 3D space (left), while samples drawn without any transformation can be outside on the simplex (right). "
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7ff9056db128>"
]
},
"execution_count": 50,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAmMAAADLCAYAAAAiGJTXAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQ1qFaZoAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7ff9057f0898>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(10, 3))\n",
"\n",
"fig.add_subplot(121)\n",
"xs = to_simplex(trace1.p)\n",
"plt.scatter(xs[:, 0], xs[:, 1])\n",
"\n",
"fig.add_subplot(122)\n",
"xs = to_simplex(trace2.p)\n",
"plt.scatter(xs[:, 0], xs[:, 1], c='r')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The latter violates sum-to-1 condition. "
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7ff9057829b0>]"
]
},
"execution_count": 51,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYAAAAEDCAYAAAA849PJAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nD5yn9UkcQpJ8AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7ff905782dd8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(np.sum(trace1.p, axis=1))\n",
"plt.plot(np.sum(trace2.p, axis=1), c='r')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"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": "3.5.1"
},
"nav_menu": {},
"toc": {
"navigate_menu": true,
"number_sections": true,
"sideBar": true,
"threshold": 6,
"toc_cell": false,
"toc_section_display": "block",
"toc_window_display": true
},
"widgets": {
"state": {},
"version": "1.1.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment