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@LuxXx
Created April 18, 2020 08:53
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Bayes vs ML
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"def freq(data):\n",
" c = 0\n",
" p = []\n",
" for i in range(len(data)):\n",
" if data[i]:\n",
" c += 1\n",
" p.append(c /(i + 1))\n",
" \n",
" return np.array(p)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"def bayes(data, prior=0.5):\n",
" c = 0\n",
" p = []\n",
" for i in range(len(data)):\n",
" n = i + 1\n",
" if data[i]:\n",
" \n",
" c += 1\n",
" p.append((1-n/(n+2))*prior+n/(n+2) * c / n)\n",
" \n",
" return np.array(p)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0,\n",
" 0, 1, 1])"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1440x720 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"v = np.random.randint(0, 2, 25)\n",
"plt.figure(figsize=(20, 10))\n",
"plt.plot(freq(v), '--r')\n",
"plt.plot(bayes(v))\n",
"plt.savefig('out.png')\n",
"v"
]
}
],
"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": "3.7.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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