Created
February 16, 2017 19:18
-
-
Save diego898/2b29058140a459b0e7312a6bbe720bab to your computer and use it in GitHub Desktop.
This file contains hidden or 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
{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 10, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"import numpy as np\n", | |
"import scipy as sp\n", | |
"import seaborn as sns; sns.set()\n", | |
"import matplotlib.pyplot as plt\n", | |
"%matplotlib inline\n", | |
"\n", | |
"# Define P\n", | |
"dimension = 2\n", | |
"numberOfSamples = 1000\n", | |
"\n", | |
"# G1\n", | |
"meanP1 = [0, 0]\n", | |
"covP1 = [[3, 0], [0, 10]]\n", | |
"\n", | |
"# G2\n", | |
"meanP2 = [10, 10]\n", | |
"covP2 = [[10, 4], [4, 3]]\n", | |
"\n", | |
"# Define Q\n", | |
"meanQ = [15,-5]\n", | |
"covQ = np.asarray([[3,2],[2,3]])*2\n", | |
"\n", | |
"# check if matrix is PSD\n", | |
"assert(np.all(np.linalg.eigvals(covQ) > 0))\n", | |
"# covQ = np.dot(covQ,covQ.T)\n", | |
"\n", | |
"delta = 0.025\n", | |
"lim = 20\n", | |
"x, y = np.mgrid[-10:25:delta, -15:20:delta]\n", | |
"pos = np.empty(x.shape + (2,))\n", | |
"pos[:, :, 0] = x; pos[:, :, 1] = y\n", | |
"mvGauss = sp.stats.multivariate_normal(meanQ, covQ)\n", | |
"\n", | |
"\n", | |
"def sample_bimodal_gauss(numberOfSamples=500, verbose=False):\n", | |
" # make numOfSamples 0 or 1 choices - if its 1, sample from g1, if its 0, sample from g2\n", | |
" choices = np.random.choice([0, 1], (numberOfSamples, 1))\n", | |
"\n", | |
" # sample from g1\n", | |
" samples1 = np.random.multivariate_normal(meanP1, covP1, numberOfSamples)\n", | |
"\n", | |
" # sample from g2\n", | |
" samples2 = np.random.multivariate_normal(meanP2, covP2, numberOfSamples)\n", | |
"\n", | |
" # make choice between both\n", | |
" samples = np.multiply(choices, samples1) + np.multiply((1 - choices), samples2)\n", | |
"\n", | |
" return samples\n", | |
"\n", | |
"\n", | |
"samplesP = sample_bimodal_gauss(numberOfSamples).T" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 11, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAasAAAGoCAYAAAD4hcrDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nisdgRUREFY/BioiIKh6DFRERVbz/B6Mutxw2rlJPAAAAAElFTkSuQmCC\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x1199bab70>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# plot our samples from P\n", | |
"grid = sns.jointplot(x=samplesP[0,:],y=samplesP[1,:], kind='scatter');" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 9, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAasAAAGoCAYAAAD4hcrDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x1197a5c50>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# plot our samples from P\n", | |
"grid = sns.jointplot(x=samplesP[0,:],y=samplesP[1,:], kind='kde', shade=True);" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 16, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAasAAAGoCAYAAAD4hcrDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEEJUvf8P3x/CQpT5V7wAAAAASUVORK5CYII=\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x119d3b358>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# plot our samples from P\n", | |
"grid = sns.jointplot(x=samplesP[0,:],y=samplesP[1,:], kind='scatter', alpha=0.1).plot_joint(sns.kdeplot, zorder=0, n_levels=6)" | |
] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python [default]", | |
"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": "3.5.2" | |
}, | |
"toc": { | |
"nav_menu": { | |
"height": "12px", | |
"width": "252px" | |
}, | |
"navigate_menu": true, | |
"number_sections": true, | |
"sideBar": true, | |
"threshold": 4, | |
"toc_cell": false, | |
"toc_section_display": "block", | |
"toc_window_display": false | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment