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@christianb93
Last active March 30, 2018 14:28
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Visualization of a Gaussian random walk
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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"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def do_walk(runs, steps):\n",
" walks=[]\n",
" for i in range(runs):\n",
" X=[]\n",
" X.append(0)\n",
" for j in range(steps):\n",
" X.append(X[j] + np.random.randn())\n",
" walks.append(X)\n",
" return walks"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"walks = do_walk(3, 5000)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"fig = plt.figure(figsize=(10,5))\n",
"ax = fig.add_subplot(1,1,1)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"for i in range(3):\n",
" ax.plot(walks[i])"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
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WZYNZlk0Tjb3CsmwjlmUbsyw7kGVZ5W+bQnkCOH07WbXcf/5OId9gh428nfzQcHk7Fgut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\n+H3nZGPrAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f1359ce5ac8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.show()"
]
}
],
"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": "3.6.2"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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