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@enakai00
Last active February 1, 2021 11:41
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Example: Asymptotic equipartition property
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from scipy.stats import entropy, bernoulli"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def H(p):\n",
" return entropy([p, 1-p], base=2)\n",
"\n",
"\n",
"def get_dist(theta, n, uniform=False):\n",
" if uniform:\n",
" sample = bernoulli.rvs(0.5, size=[samples, n])\n",
" else:\n",
" sample = bernoulli.rvs(theta, size=[samples, n])\n",
" dist = sample.sum(1)*np.log2(theta)+(n-sample.sum(1))*np.log2(1-theta)\n",
" return dist\n",
"\n",
"\n",
"def show_plot(n, subplot):\n",
" e = 0.1\n",
" \n",
" dist = get_dist(theta, n, uniform=True)\n",
" values, base = np.histogram(dist, \n",
" range=(n*np.log2(theta),n*np.log2(1-theta)), bins=100)\n",
" cumulative = np.cumsum(values)*1.0/samples\n",
" subplot.plot(base[:-1], cumulative, c='blue',\n",
" label = 'uniform')\n",
" \n",
" dist = get_dist(theta, n, uniform=False)\n",
" values, base = np.histogram(dist, \n",
" range=(n*np.log2(theta),n*np.log2(1-theta)), bins=100)\n",
" cumulative = np.cumsum(values)*1.0/samples\n",
" subplot.plot(base[:-1], cumulative, c='red',\n",
" label = 'real')\n",
" subplot.plot([-n*H(theta)-n*e,-n*H(theta)-n*e],[0,1],\n",
" linestyle='--', c='black')\n",
" subplot.plot([-n*H(theta)+n*e,-n*H(theta)+n*e],[0,1],\n",
" linestyle='--', c='black',\n",
" label=u'-n(H(X)±0.1)')\n",
"\n",
" subplot.set_title('n={}'.format(n))\n",
" subplot.set_xlabel('log p(X)')\n",
" subplot.legend(loc=0)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
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2229ZuHAh1157bYnBl0rZISMD6tWDhg3tjiSMZWVZO3NG6dZMyn+86eaYDixwJBXOqaGx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\nCJBmBwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x42e0110>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"samples = 5000\n",
"theta = 0.3\n",
"\n",
"fig = plt.figure(figsize=(6,7))\n",
"fig.subplots_adjust(wspace=0.4, hspace=0.6)\n",
"\n",
"n = 10\n",
"subplot = fig.add_subplot(311)\n",
"show_plot(n, subplot)\n",
"\n",
"n = 100\n",
"subplot = fig.add_subplot(312)\n",
"show_plot(n, subplot)\n",
"\n",
"n = 1000\n",
"subplot = fig.add_subplot(313)\n",
"show_plot(n, subplot)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.5"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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