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tracing.html
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tracing.html
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<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<meta http-equiv="X-UA-Compatible" content="chrome=1" />
<meta name="apple-mobile-web-app-capable" content="yes" />
<meta name="apple-mobile-web-app-status-bar-style" content="black-translucent" />
<title>Tracing slides</title>
<script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.1.10/require.min.js"></script>
<script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/2.0.3/jquery.min.js"></script>
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var link = document.createElement( 'link' );
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document.getElementsByTagName( 'head' )[0].appendChild( link );
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<script type="text/x-mathjax-config">
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tex2jax: {
inlineMath: [ ['$','$'], ["\\(","\\)"] ],
displayMath: [ ['$$','$$'], ["\\[","\\]"] ],
processEscapes: true,
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// Center justify equations in code and markdown cells. Elsewhere
// we use CSS to left justify single line equations in code cells.
displayAlign: 'center',
"HTML-CSS": {
styles: {'.MathJax_Display': {"margin": 0}},
linebreaks: { automatic: true }
}
});
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<link rel="stylesheet" href="//netdna.bootstrapcdn.com/font-awesome/4.1.0/css/font-awesome.css">
<style type="text/css">
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<h1 id="Tracing-the-Attention-of-Moving-Citizens">Tracing the Attention of Moving Citizens<a class="anchor-link" href="#Tracing-the-Attention-of-Moving-Citizens">¶</a></h1><p>Cheng-Jun Wang 1, Lingfei Wu 2</p>
<p>1 Computational Communication Collaboratory, School of Journalism and Communication, Nanjing University, Nanjing 210093, P.R. China</p>
<p>2 Knowledge Lab, Computation Institute, University of Chicago, Chicago, IL., 60607, United States 2016 Apr 22</p>
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<h1 id="Introduction">Introduction<a class="anchor-link" href="#Introduction">¶</a></h1><blockquote><h2 id="Physical-Space-and-Virtual-World">Physical Space and Virtual World<a class="anchor-link" href="#Physical-Space-and-Virtual-World">¶</a></h2>
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<li>Mobile computing devices </li>
<li>Using the anonymous smartphone data of 100000 users in 30 days<ul>
<li>we constructed the mobility network and the attention network <ul>
<li>to study the correlations between online and offline human behaviors. </li>
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<h1 id="Small-world-vs.-Fractal">Small-world vs. Fractal<a class="anchor-link" href="#Small-world-vs.-Fractal">¶</a></h1><ul>
<li>Most complex networks are found to be small-world </li>
<li>Many complex networks are featured by fractal patterns </li>
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<p>The investigated network properties include the size of box $l_B$ and the number of boxes $N(l_B)$.</p>
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<li>Small-world property, $N (l_B ) =e^{−l_B}$ , </li>
<li>Self-similar property $N(l_B) = l^{−\gamma}$. </li>
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<h1 id="Mobility-network-and-Attention-Network">Mobility network and Attention Network<a class="anchor-link" href="#Mobility-network-and-Attention-Network">¶</a></h1><ul>
<li>Mobility network<ul>
<li>nodes are physical locations </li>
<li>edges represent the movements between locations </li>
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<li>Attention network<ul>
<li>nodes are websites</li>
<li>edges represent the switch of users between websites </li>
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<h1 id="Mobility-Network">Mobility Network<a class="anchor-link" href="#Mobility-Network">¶</a></h1><ul>
<li>There are 9899 nodes and 39,083 edges <ul>
<li>Density = 7.9×10−4</li>
<li>The diameter of the mobility network is 15,</li>
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<h1 id="Attention-Network">Attention Network<a class="anchor-link" href="#Attention-Network">¶</a></h1><ul>
<li>and there are 16,476 nodes and 144,909 edges<ul>
<li>Density = 10.6 × 10−4</li>
<li>The diameter of the attention network is only 10. </li>
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<p><img src = './arxiv/Figure6.png'></p>
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<h1 id="Network-Renormalization-Method">Network Renormalization Method<a class="anchor-link" href="#Network-Renormalization-Method">¶</a></h1><ul>
<li>Box-covering method <ul>
<li>Box-counting method in calculating the fractal dimension </li>
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</li>
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<p>we cover the network with boxes of size $l_B$, and the number of boxes needed is denoted as $N_B$.</p>
<p>Thus the fractal dimension or box dimension $d_B$ can be given from $N_B = l_B^{−d_B}$.</p>
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<h1 id="Renormalizations-of-the-mobility-network-and-attention-network.">Renormalizations of the mobility network and attention network.<a class="anchor-link" href="#Renormalizations-of-the-mobility-network-and-attention-network.">¶</a></h1><p>A. The renormalization process of the mobility network. Fixing the length of boxes $l_B$ to be 1, it takes 15 steps to tile the mobility network into one single node.</p>
<p>B. The renormalization process of the attention network. Fixing the length of boxes $l_B$ to be 1, it takes 10 steps to collapse the attention network into one node.</p>
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<p><img src = './arxiv/Figure1.png' width = 800 height = 500></p>
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<h1 id="Two-Universal-Classes-of-Behaviors">Two Universal Classes of Behaviors<a class="anchor-link" href="#Two-Universal-Classes-of-Behaviors">¶</a></h1>
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<h1 id="Location-Based-Human-Behaviors">Location-Based Human Behaviors<a class="anchor-link" href="#Location-Based-Human-Behaviors">¶</a></h1>
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<h3 id="Geographical-distribution-of-three-kinds-of-mobile-Internet-use-behaviors">Geographical distribution of three kinds of mobile Internet use behaviors<a class="anchor-link" href="#Geographical-distribution-of-three-kinds-of-mobile-Internet-use-behaviors">¶</a></h3><ul>
<li>A. Shopping (red), B. Dating (blue), and C. Taxi-calling (orange). Please check the <a href="http://computational-class.github.io/cjc2016/vis/beijing_mobile_with_line.html">interactive map online</a>.</li>
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<p><img src= './arxiv/Figure4.png' width = 700></p>
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<h1 id="Geometric-Network-Models">Geometric Network Models<a class="anchor-link" href="#Geometric-Network-Models">¶</a></h1>
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<li>Node location and edge-generating mechanisms are spatial-constrained. </li>
<li>Spatial-constrained attachment (SCA) mechanism </li>
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<p>Jiang Zhang, Xintong Li, Xinran Wang, Wen-Xu Wang, and Lingfei Wu. Scaling behaviours in the growth of networked systems and their geometric origins. Scientific Reports, 5:9767 04 2015.</p>
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<p>Initially, there is only one node as the seed of the growing graph located in the center of the space.</p>
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<li>At each time t a new node P is generated, and <ul>
<li>P will be added to the graph if only it is within the radius r of at least an existing node Q,</li>
<li>or else P will not be added to the graph. </li>
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<p>If P are within the radius of more than one node $Q_s$,</p>
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<li>an edge will be established between P and each node of $Q_s$. </li>
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<p>Since the new node P will be connected with all the nodes within a given radius, this original model could be named as Model all.</p>
<p>Based on Model all, more practical extensions can be implemented.</p>
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<p><img src= './arxiv/Figure5.png' width = 700></p>
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<h1 id="Conclusion">Conclusion<a class="anchor-link" href="#Conclusion">¶</a></h1><p>The investigated network properties include the size of box $l_B$ and the number of boxes $N(l_B)$.</p>
<p>We find two universal classes of behaviours:</p>
<ul>
<li>the mobility network is featured by a small-world property, $N (l_B ) =e^{−l_B}$ , </li>
<li>whereas the attention network is characterised by a self-similar property $N(l_B) = l^{−\gamma}$. </li>
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<p>In particular, with the increasing of the length of box $l_B$, the degree correlation of the network changes from positive to negative which indicates that there are two layers of structure in the mobility network.</p>
<ul>
<li><p>We use the results of network renormalisation to detect the community and map the structure of the mobility network.</p>
</li>
<li><p>Further, we located the most relevant websites visited in these communities, and identified three typical location-based behaviours, including the shopping, dating, and taxi-calling.</p>
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<p>Finally, we offered a revised geometric network model to explain our findings in the perspective of spatial-constrained attachment.</p>
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<h1 id="This-is-the-end.">This is the end.<a class="anchor-link" href="#This-is-the-end.">¶</a></h1><blockquote><p>Thank you for your attention.</p>
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<p>wangchengjun@nju.edu.cn</p>
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