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@dcalacci
Last active August 29, 2015 14:16
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testing networks
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"import requests\n",
"import json\n",
"import datetime\n",
"\n",
"# project imports\n",
"import sys\n",
"sys.path.append('../src')"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%load_ext autoreload\n",
"%autoreload 2"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"base_url = 'https://www.sensible.dtu.dk/sensible-dtu/connectors/connector_raw/v1/'\n",
"token = '45c01778fecc3ed3bc9b399397d1f5'"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"start = pd.to_datetime('9/1/14 05:00').strftime('%s')\n",
"end = pd.to_datetime('9/1/14 6:00').strftime('%s')"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"('1409540400', '1409544000')"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"start, end"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import sensible_utils as su\n",
"res = su.get_bt_data(int(start), int(end), token)"
]
},
{
"cell_type": "code",
"execution_count": 84,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"scans = res['data']\n",
"users = [s['user'] for s in scans]"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(41427, 69983)"
]
},
"execution_count": 46,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"non_empty_scans = [s for s in scans if s['scanned_user']]\n",
"len(non_empty_scans), len(scans)"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(37800, 69983)"
]
},
"execution_count": 47,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"user_scans = [s for s in non_empty_scans if s['scanned_user'] in users]\n",
"len(user_scans), len(scans)"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"{u'bt_mac': u'9e1a886daf2e029f844ce9c6f2badace05cff4a19e35648873a0397d415adbe3',\n",
" u'class': 5898764,\n",
" u'id': 133543900,\n",
" u'name': u'd565ccd0b683ad49f3d1cdd5d02ae79e',\n",
" u'rssi': -93,\n",
" u'scanned_user': u'cfff503ae13e87f1073fff40234c68',\n",
" u'timestamp': 1409540404,\n",
" u'user': u'03eb449d4c70f8e3ac56103ac73c3b'}"
]
},
"execution_count": 48,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"user_scans[0]"
]
},
{
"cell_type": "code",
"execution_count": 64,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import collections\n",
"import networkx as nx\n",
"\n",
"graph = collections.defaultdict(list)\n",
"\n",
"for scan in user_scans:\n",
" graph[scan['user']].append(scan['scanned_user'])\n",
" \n",
"\n",
"G = nx.Graph()\n",
"for user, scans in graph.items():\n",
" scan_counter = collections.Counter(scans)\n",
" for scanned_user, count in scan_counter.items():\n",
" G.add_edge(user, scanned_user, weight=count)"
]
},
{
"cell_type": "code",
"execution_count": 81,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
},
{
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],
"text/plain": [
"<matplotlib.figure.Figure at 0x8c44190>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"%pylab inline\n",
"nx.draw(G)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Wow, that's really hairbally..."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Weight distribution:"
]
},
{
"cell_type": "code",
"execution_count": 128,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x18a98b90>"
]
},
"execution_count": 128,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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],
"text/plain": [
"<matplotlib.figure.Figure at 0x12931210>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"weights = [attrs['weight'] for source, target, attrs in G.edges_iter(data=True)]\n",
"weights = pd.Series(weights)\n",
"weights.hist(bins=50)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Wow, this is just from one hour. Let's use serrano 2008 to get just the backbone:\n",
"## Backbone\n",
"\n",
"I'm using an algorithm from [this paper](http://www.pnas.org/content/106/16/6483.abstract)\n",
"\n",
"setting alpha to 0.05 works well"
]
},
{
"cell_type": "code",
"execution_count": 154,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# from: https://gist.github.com/brianckeegan/8846206\n",
"def extract_backbone(g, alpha):\n",
" backbone_graph = nx.Graph()\n",
" for node in g:\n",
" k_n = len(g[node])\n",
" if k_n > 1:\n",
" sum_w = sum( g[node][neighbor]['weight'] for neighbor in g[node] )\n",
" for neighbor in g[node]:\n",
" edgeWeight = g[node][neighbor]['weight']\n",
" pij = float(edgeWeight)/sum_w\n",
" if (1-pij)**(k_n-1) < alpha: # equation 2\n",
" backbone_graph.add_edge( node,neighbor, weight = edgeWeight)\n",
" return backbone_graph"
]
},
{
"cell_type": "code",
"execution_count": 180,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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],
"text/plain": [
"<matplotlib.figure.Figure at 0x17b6f510>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"backbone = extract_backbone(G, 0.05)\n",
"nx.draw(backbone)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Let's remove isolated nodes and 1-degree nodes"
]
},
{
"cell_type": "code",
"execution_count": 181,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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],
"text/plain": [
"<matplotlib.figure.Figure at 0x12022b10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import networkx.algorithms.isolate as isolate\n",
"\n",
"# remove one degree nodes first\n",
"one_degree = [n for n, d in backbone.degree_iter() if d == 1]\n",
"backbone.remove_nodes_from(one_degree)\n",
"\n",
"# now remove isolates\n",
"backbone.remove_nodes_from(isolate.isolates(backbone))\n",
"nx.draw(backbone)"
]
},
{
"cell_type": "code",
"execution_count": 182,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"nx.write_gexf(G, '../data/9-1-14-5:00_9-1-14-6:00_backbone_trimmed.gexf')"
]
}
],
"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": "2.7.3"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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