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August 9, 2015 03:25
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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# Coursera - Data Visualization\n", | |
"## Programming Assignment #2\n", | |
"#### Yilun (Tom) Zhang\n", | |
"---\n", | |
"### Overview\n", | |
"This assignment is meant to give you the opportunity to do non-coordinate data visualization, specifically using a network of your choosing. \n", | |
"\n", | |
"### Goals\n", | |
"Network data lends itself easily to Graph Visualization. This assignment will allow you to explore the means of network visualization that you have encountered in the course, to decide how best to visualize data, and to analyze other network visualizations.\n", | |
"\n", | |
"### My Objectives\n", | |
"I chose the anonmized social circles from Facebook from http://snap.stanford.edu/data/index.html. It contains 4,039 nodes and 88,234 edges. \n", | |
"I will plot the network and a few other plots and discuss about my findings. I will be using the whole dataset.\n", | |
"\n", | |
"I chose this dataset because it is something that I use on a daily basis and I'm curious about how the connection between friends and friends of friends, etc. look like." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 40, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"source": [ | |
"# import\n", | |
"import networkx as nx\n", | |
"import pandas as pd\n", | |
"import matplotlib.pyplot as plt\n", | |
"%matplotlib inline\n", | |
"import numpy as np" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"# define path to data files\n", | |
"path = \"/Users/Athos/Documents/coursera/data_visualization/programming_assign_2/data/facebook_combined.txt\"" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 21, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"source": [ | |
"# load\n", | |
"df = pd.read_table(path,sep=\" \")" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 22, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/html": [ | |
"<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n", | |
"<table border=\"1\" class=\"dataframe\">\n", | |
" <thead>\n", | |
" <tr style=\"text-align: right;\">\n", | |
" <th></th>\n", | |
" <th>node1</th>\n", | |
" <th>node2</th>\n", | |
" </tr>\n", | |
" </thead>\n", | |
" <tbody>\n", | |
" <tr>\n", | |
" <th>0</th>\n", | |
" <td>0</td>\n", | |
" <td>1</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>1</th>\n", | |
" <td>0</td>\n", | |
" <td>2</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>2</th>\n", | |
" <td>0</td>\n", | |
" <td>3</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>3</th>\n", | |
" <td>0</td>\n", | |
" <td>4</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>4</th>\n", | |
" <td>0</td>\n", | |
" <td>5</td>\n", | |
" </tr>\n", | |
" </tbody>\n", | |
"</table>\n", | |
"</div>" | |
], | |
"text/plain": [ | |
" node1 node2\n", | |
"0 0 1\n", | |
"1 0 2\n", | |
"2 0 3\n", | |
"3 0 4\n", | |
"4 0 5" | |
] | |
}, | |
"execution_count": 22, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"# check head\n", | |
"df.head(5)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 33, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"# create graph object\n", | |
"G=nx.Graph()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 34, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"# add edges\n", | |
"for i in range(df.shape[0]):\n", | |
" G.add_edge(df.iloc[i][0],df.iloc[i][1])" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 66, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
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fQtO8GEY2bnc5bncc4XADgUAbDkc5gYDGmDFl+P1eXK5mgsEgfr8fy7Lwer0sXryYm2++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\nrkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x1102809d0>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# draw the network\n", | |
"nx.draw(G,node_color=\"blue\",alpha=0.5,node_size=100)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"---\n", | |
"#### Discussions\n", | |
"1. From the network plot,we can see that ther are 6 major clusters and a few (dozens) of points that connect each cluster with another.\n", | |
"2. It is similar to how the real world connection looks like where people who are more familiar with gather together to form clusters but there is always a connection link between almost everyone with another." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 45, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"source": [ | |
"# get all the degrees for each node\n", | |
"degrees = map(lambda x: nx.degree(G,x),np.unique(df[\"node1\"]))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 85, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"min degree: 2\n", | |
"max degree: 1045\n", | |
"average degrees: 47.17\n" | |
] | |
} | |
], | |
"source": [ | |
"# summary of degrees information\n", | |
"print \"min degree: \", min(degrees)\n", | |
"print \"max degree: \", max(degrees)\n", | |
"print \"average degrees: \", np.round(np.mean(degrees),2)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 76, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.text.Text at 0x1194065d0>" | |
] | |
}, | |
"execution_count": 76, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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rhf56/wN0x8AZ3WP4gql2S8DRtOT39ZsZfVbrKMkdacfr1zFwFblvO9xIkt+mtYL5UA20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\nRK5CYII=\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x11903f090>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# histogram plot for degree size\n", | |
"f, (ax1, ax2) = plt.subplots(1,2,figsize=(16,6))\n", | |
"ax1.hist(degrees,bins=20,alpha=0.5)\n", | |
"ax2.hist(np.log(degrees),bins=10,alpha=0.5)\n", | |
"ax1.set_xlabel(\"degree\",size=16)\n", | |
"ax1.set_ylabel(\"frequency\",size=16)\n", | |
"ax2.set_xlabel(\"log(degree)\",size=16)\n", | |
"ax2.set_ylabel(\"frequency\",size=16)\n", | |
"ax1.set_title(\"degree Distribution for All Nodes\\n\",size=20)\n", | |
"ax2.set_title(\"log(degree) Distribution for All Nodes\\n\",size=20)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"#### Discussions:\n", | |
"1. From the sammary statistics, the minumum degree size is 2 and the maximum is 1045.\n", | |
"2. On average, each node has 47.17 nodes.\n", | |
"3. By looking at the left histogram, we can see that within this network, a majority of users have connection number of less than 50.\n", | |
"4. The degrees has a exponential decay shape but the log(degrees) has a relatively normal distribution." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"source": [] | |
} | |
], | |
"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": "2.7.9" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 0 | |
} |
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