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@lhk
Created June 9, 2016 21:20
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"x=np.linspace(0,10,100)\n",
"y=x*10 + np.random.randn(100)*5"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"covmat=np.cov(x,y)\n",
"\n",
"eig_vals, eig_vecs=np.linalg.eig(covmat)\n",
"\n",
"eig_vals\n",
"\n",
"largest_index=np.argmax(eig_vals)\n",
"\n",
"\n",
"# Different indexing. We need a row, not a column\n",
"largest_eig_vec=eig_vecs[:,1] # <-------------------------------------------\n"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"line_x=[]\n",
"line_y=[]\n",
"\n",
"num=100\n",
"scale=1\n",
"center_x=np.mean(x)\n",
"center_y=np.mean(y)\n",
"\n",
"for i in range(num):\n",
" line_x.append(center_x+largest_eig_vec[0]*(i-num/2)*scale)\n",
" line_y.append(center_y+largest_eig_vec[1]*(i-num/2)*scale)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x264336219b0>]"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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ldAv43r7MBISrFEgiBAAAACBCeAoBjubgUJUEXbwoLVggDR5sfj6dfVqDPh2kncd2at1D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\nYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x26433461e48>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig=plt.figure(figsize=(13,13))\n",
"ax=fig.add_subplot(111)\n",
"\n",
"ax.plot(x,y)\n",
"ax.plot(line_x,line_y)"
]
},
{
"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"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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