Skip to content

Instantly share code, notes, and snippets.

@rabimba
Created September 5, 2015 01:57
Show Gist options
  • Save rabimba/dce42416125b6a7adc78 to your computer and use it in GitHub Desktop.
Save rabimba/dce42416125b6a7adc78 to your computer and use it in GitHub Desktop.
Display the source blob
Display the rendered blob
Raw
{
"metadata": {
"name": "",
"signature": "sha256:4b29fe7d8876974aa63d9933e4993a5eb96477bb4c13afcae551b15a438d5072"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Here we generate a and load the data and set the relevant parameters"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy as np\n",
"import matplotlib.pyplot as plt \n",
"from sklearn.cluster import KMeans\n",
"# Active in line mode \n",
"%pylab inline \n",
"# This is for making plots appeared in the document and not as an external window"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
},
{
"output_type": "stream",
"stream": "stderr",
"text": [
"WARNING: pylab import has clobbered these variables: ['mean', 'cov']\n",
"`%matplotlib` prevents importing * from pylab and numpy\n"
]
}
],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Quantityt of data \n",
"N_total = 1000 \n",
"# Percentage of data is that is anomalous \n",
"p_anomaly = 0.10\n",
"N_normal = (1 - p_anomaly) * N_total\n",
"N_anomal = p_anomaly * N_total\n",
"# Make the number integeres\n",
"N_normal = int(N_normal)\n",
"N_anomal = int(N_anomal)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 9
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Generate anomaly data\n",
"mean = np.array([5, 5])\n",
"cov = np.array([[1, 0], [0, 1]])\n",
"data_anomal = np.random.multivariate_normal(mean, cov, N_anomal)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 27
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Generate normal data \n",
"mean = np.array([0, 0])\n",
"cov = np.array([[1, 0], [0, 1]])\n",
"data_normal = np.random.multivariate_normal(mean, cov, N_normal)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 28
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Gather the data in one vector\n",
"data = np.concatenate([data_normal, data_anomal])"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 29
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print data_normal.shape\n",
"print data_anomal.shape\n",
"print data.shape"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"(900, 2)\n",
"(100, 2)\n",
"(1000, 2)\n"
]
}
],
"prompt_number": 30
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.plot(data_normal[:,0], data_normal[:,1], '*r')\n",
"plt.plot(data_anomal[:,0], data_anomal[:, 1], '*b')\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAXMAAAEACAYAAABBDJb9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n3sCzY5GEAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x4b06d90>"
]
}
],
"prompt_number": 31
},
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"This is an exmaple of header"
]
},
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"K-means algorithm to cluster the data"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"clusters = 2\n",
"anomaly_distance = 4\n",
"k_means = KMeans(n_clusters=clusters, init='k-means++', n_init=10, max_iter=300, tol=0.0001, precompute_distances=True)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 51
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"k_means.fit(data)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 52,
"text": [
"KMeans(copy_x=True, init='k-means++', max_iter=300, n_clusters=2, n_init=10,\n",
" n_jobs=1, precompute_distances=True, random_state=None, tol=0.0001,\n",
" verbose=0)"
]
}
],
"prompt_number": 52
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"cluster_centers = k_means.cluster_centers_"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 53
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"data_labels = k_means.labels_"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 54
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"circle_1 = plt.Circle(cluster_centers[0], anomaly_distance, color='b', fill=False)\n",
"circle_2 = plt.Circle(cluster_centers[1], anomaly_distance, color='b', fill=False)\n",
"plt.plot(data[:,0], data[:, 1], '*')\n",
"fig = plt.gcf()\n",
"fig.gca().add_artist(circle_1)\n",
"fig.gca().add_artist(circle_2)\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAXMAAAEACAYAAABBDJb9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSwDTmZuYmJhcAvx/rggMkKFFJJYAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x4b2fb90>"
]
}
],
"prompt_number": 57
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment