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@slarson
Created February 1, 2016 08:07
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pca over time series, graphs, 3d plots
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{
"cells": [
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 0.26736248, 0.35454615, -0.1244638 , -0.04687147, 0.70290632,\n",
" -0.16055252, -0.37969099, -0.13532673, 0.31875258, -0.03449603],\n",
" [-0.05697584, -0.03982691, 0.31500192, 0.28844213, 0.02298247,\n",
" -0.54362906, 0.10714412, 0.20922111, 0.07640759, -0.67497429],\n",
" [ 0.16240764, 0.18743415, -0.17246126, -0.21423741, -0.22942478,\n",
" 0.30316483, -0.50249525, 0.09763934, -0.40087097, -0.54366768]])"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"from sklearn.decomposition import PCA\n",
"\n",
"df = pd.DataFrame(data=np.random.normal(0, 1, (20, 10)))\n",
"\n",
"pca = PCA(n_components=3)\n",
"pca.fit(df)\n",
"pca.components_"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from ipywidgets import interact\n",
"%matplotlib inline\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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SdJoFRLUgjGRLmDJFxc9+JiIc5hEM2iO+fFlxrOqBbWJZ6jGRZE+WZb0le7n6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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f8e1e609850>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib as mpl\n",
"from mpl_toolkits.mplot3d import Axes3D\n",
"\n",
"mpl.rcParams['legend.fontsize'] = 10\n",
"\n",
"fig = plt.figure()\n",
"ax = fig.gca(projection='3d')\n",
"theta = np.linspace(-4 * np.pi, 4 * np.pi, 100)\n",
"z = np.linspace(-2, 2, 100)\n",
"r = z**2 + 1\n",
"x = r * np.sin(theta)\n",
"y = r * np.cos(theta)\n",
"ax.plot(x, y, z, label='parametric curve')\n",
"ax.legend()\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import networkx as nx\n",
"\n",
"# wrap a few graph generation functions so they have the same signature\n",
"\n",
"def random_lobster(n, m, k, p):\n",
" return nx.random_lobster(n, p, p / m)\n",
"\n",
"def powerlaw_cluster(n, m, k, p):\n",
" return nx.powerlaw_cluster_graph(n, m, p)\n",
"\n",
"def erdos_renyi(n, m, k, p):\n",
" return nx.erdos_renyi_graph(n, p)\n",
"\n",
"def newman_watts_strogatz(n, m, k, p):\n",
" return nx.newman_watts_strogatz_graph(n, k, p)\n",
"\n",
"def plot_random_graph(n, m, k, p, generator):\n",
" g = generator(n, m, k, p)\n",
" nx.draw(g)\n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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xYoU4AJWVleEzFxcYa2khVE9PbmanADU1mBkYoEnjxhg5cmSV17t69SpiY2Oh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\nAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f8e1feb4110>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"interact(plot_random_graph, n=(2,30), m=(1,10), k=(1,10), p=(0.0, 1.0, 0.001),\n",
" generator={'lobster': random_lobster,\n",
" 'power law': powerlaw_cluster,\n",
" 'Newman-Watts-Strogatz': newman_watts_strogatz,\n",
" u'Erdős-Rényi': erdos_renyi,\n",
" });"
]
}
],
"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": "2.7.11"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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