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@bearpaw
Last active March 10, 2017 01:47
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Import numpy and matplotlib library
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Import numpy and matplotlib library\n",
"\n",
"A simple example showing how to standardise the data with zero mean and standard variance."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Define the plot function for visualization."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def plot(x):\n",
" r = 6\n",
" plt.scatter(x[:, 0], x[:, 1], s=5, alpha=0.5)\n",
" plt.ylim([-r, +r])\n",
" plt.xlim([-r, +r])\n",
" plt.grid()\n",
" plt.show()\n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Generate a dataset with 2000 samples from 2D Gaussian distribution."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(2000, 2)\n"
]
},
{
"data": {
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mg1m0sWpE1gYmCg7vvKGeRydOu6IrXVeKMYeCa2L+zJUKRQv2jxYr74JrQU+f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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7ff039c970d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x = np.random.multivariate_normal([2, 2], [[1, 0.1],[0.9, 0.5]], 2000)\n",
"print(x.shape)\n",
"\n",
"plot(x)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Subtract mean to remove the shift of the dataset."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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N55jMljk6kuXkeI4v7OjjxFiOiZxFrmRz4kyOkuUQDXjSrgGxkMFYzkRKyemp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\nRAKjYBcRCYyCXUQkMAp2EZHAKNhFRAKjYBcRCYy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"text/plain": [
"<matplotlib.figure.Figure at 0x7ff034205690>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# normalize by subtracting mean\n",
"x -= np.mean(x, axis=0) \n",
"plot(x)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Devide the standard deviate to remove the scale of the dataset."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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CiUyJQsVB1+ClkSzl6vQ+KCPpMsmCRXc8wK19MXyGzua+OBXb4eGtg4znq5Qt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\nSGAXQogCI4FdCCEKjAR2IYQoMP8f7EFCmnsqCJIAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7ff034095090>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# normalize by divide std\n",
"x /= np.std(x, axis=0)\n",
"plot(x)"
]
}
],
"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": "2.7.13"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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