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Last active October 12, 2015 01:37
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NetworkX homework
{
"metadata": {
"name": "cnetwork"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": "## FOC-CRISIS school, 24-27 Oct 2012, Lucca\n##\n## Tutorial: Analysing financial networks in Python\n## by Michelangelo Puliga (ETH Zurich)\n##\n## Homework by Olga Pustovalova\n## \n## http://nbviewer.ipython.org/3950921/",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": "# Create a correlation-based network for 30 Dow Jones companies.\n# Compute correlations using the closing stock prices for each of 30 companies.",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": "## Preliminary arrangements: which companies and dates to choose?\n\n# UNH replaced KFT on 24 Sep 2012; the first change since 2009.\n# http://www.bloomberg.com/news/2012-09-14/unitedhealth-replaces-kraft-in-\n# dow-jones-industrial-average-1-.html\n# =>\n# We can take the data e.g. from 01 Jan 2010 to 23 Sep 2012,\n# when the Dow Jones companies stayed the same",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": "# Dow Jones companies\ncompanies = ['MMM', 'AA', 'AXP', 'T', 'BAC',\n 'BA', 'CAT', 'CVX', 'CSCO', 'DD',\n 'XOM', 'GE', 'HPQ', 'HD', 'INTC',\n 'IBM', 'JNJ', 'JPM', 'MDC', 'MRK',\n 'MSFT', 'PFE', 'PG', 'KO', 'TRV',\n 'UTX', 'VZ', 'WMT', 'DIS', 'KFT']",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": "## Download the data\n\nfrom pandas.io.data import *\n\ndata = dict()\nfor i in companies:\n raw_data = DataReader(i, 'yahoo', start='01/01/2009', end='23/09/2012')\n data[i] = raw_data['Close'] # we need closing prices only",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": "## A quick visualization: stock prices for each Dow Jones company\n\nimport pylab\nimport random as rn\n\ncolors = 'bcgmry'\nrn.seed = len(companies) # for choosing random colors\npylab.subplot('111') # all time series on a single figure\n\nfor i in companies:\n data[i].plot(style=colors[rn.randint(0, len(colors) - 1)])\npylab.show()",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
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jalojR16lXXv7m3fkAAMGVOrI61vuDmW3btutbdtqBeitEh4OS5bI9//7n3x9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\nVA6A3T26qRsAAAAASUVORK5CYII=\n"
}
],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": "## Compute correlation matrix\n\nimport numpy as np\nn = len(companies)\ncorr_matrix = np.zeros((n, n))\n\nfor i in range(0, n):\n for j in range(0, n):\n if i < j:\n corr_matrix[i][j] = data[companies[i]].corr(\n data[companies[j]],\n method='pearson')\n\n# Output\nnp.set_printoptions(precision=2)\nprint corr_matrix[0]",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "[ 0. 0.53 0.9 0.64 0.16 0.93 0.86 0.73 0.14 0.89 0.41 0.9\n -0.02 0.68 0.76 0.73 0.81 0.68 -0.17 0.8 0.76 0.72 0.87 0.64\n 0.88 0.95 0.55 0.51 0.89 0.71]\n"
}
],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": "## Remove weak correlations to construct a graph\nthreshold = 0.7\ncorr_matrix[np.where(abs(corr_matrix) < threshold)] = 0\n\n# Output\nprint corr_matrix[0]",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "[ 0. 0. 0.9 0. 0. 0.93 0.86 0.73 0. 0.89 0. 0.9 0.\n 0. 0.76 0.73 0.81 0. 0. 0.8 0.76 0.72 0.87 0. 0.88\n 0.95 0. 0. 0.89 0.71]\n"
}
],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": "# Constructing a graph\nimport networkx as nx\nG = nx.Graph(corr_matrix)",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 9
},
{
"cell_type": "code",
"collapsed": false,
"input": "## Explore graph properties\n\nnodes, edges = G.order(), G.size()\nprint \"Number of nodes:\", nodes\nprint \"Number of edges:\", edges\nprint \"Average degree:\", edges / float(nodes)",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "Number of nodes: 30\nNumber of edges: 216\nAverage degree: 7.2\n"
}
],
"prompt_number": 20
},
{
"cell_type": "code",
"collapsed": false,
"input": "## Count degrees\n\ndegrees = G.degree()\nvalues = sorted(set(degrees.values()))\ncounts = [degrees.values().count(x) for x in values]",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 21
},
{
"cell_type": "code",
"collapsed": false,
"input": "# Connected components: color them differently\n\nrn.seed = 5 # for choosing random colors\ncomponents = nx.connected_components(G)\n\nfor i in components:\n component = G.subgraph(i)\n nx.draw_graphviz(component,\n node_color = colors[rn.randint(0, len(colors) - 1)],\n node_size = [component.degree(i) * 100 + 15\n for i in component.nodes()],\n edge_color = [corr_matrix[i][j] * 0.5\n for (i, j) in component.edges()],\n with_labels = True,\n labels = dict([(x, companies[x]) for x in component.nodes()])\n )\npylab.show()\n\nprint \"Smallest components (size < 5):\"\nfor i in components:\n if len(i) < 5:\n print [companies[j] for j in i]\n\nprint \"Companies with degrees < 5:\"\nprint [(companies[i], degrees[i]) for i in range(0, n) if degrees[i] < 5]",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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cXV0xoEcPjB45Evb29rm6bmxsLASqy5zGjqXqdCEhwE8/AdbW9G/VoKvQpg2w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\nDMhEREQq8P9ggZ0fsSw4fgAAAABJRU5ErkJggg==\n"
},
{
"output_type": "stream",
"stream": "stdout",
"text": "Smallest components (size < 5):\n['MDC']\nCompanies with degrees < 5:\n[('AA', 1), ('BAC', 3), ('CSCO', 2), ('HPQ', 3), ('JPM', 2), ('MDC', 0)]\n"
}
],
"prompt_number": 27
},
{
"cell_type": "code",
"collapsed": false,
"input": "# Generate colors -\n# http://stackoverflow.com/questions/876853/generating-\n# color-ranges-in-python\n\nimport colorsys\nncolors = len(values)\nHSV_tuples = [(x * 1.0 / ncolors, 0.5, 0.5) for x in range(ncolors)]\nRGB_tuples = map(lambda x: colorsys.hsv_to_rgb(*x), HSV_tuples)",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 28
},
{
"cell_type": "code",
"collapsed": false,
"input": "# Plot degree distribution\npylab.xlabel('Degree')\npylab.ylabel('Number of nodes')\npylab.title('Dow Jones network: degree distribution')\npylab.bar(values, counts, color=RGB_tuples)\npylab.show()\n\nprint \"Highest degree:\", max(values)",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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3bo3PPvsMAQEBtV0W1ROKH65JSEjA/PnzsXfvXiW7ISKiCih+4vXrr7/G+PHjle6GiIgq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\nAElFTkSuQmCC\n"
},
{
"output_type": "stream",
"stream": "stdout",
"text": "Highest degree: 22\n"
}
],
"prompt_number": 29
}
],
"metadata": {}
}
]
}
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