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A Geometric Model of 
Collective Human Behavior 
LingfeiWu 
Attention Balls 
Post-doc @ Center for the Study of Institutional Diversity 
Collaborators 
Attention networks, balls, and allometric growth 
Geometric models on human behavior for computational 
social scientists
Collaborators 
Lingfei 
Wu 
Marco Janssen Cheng-Jun Wang Jiang Zhang Min Zhao 
AS 
U 
AS 
U 
Nanjing U Beijing Normal U Baidu Inc. 
Computational Social Scientist 
Physicist Computer Scientist
Attention networks and allometric growth 
Flow network model 
Information systems 
Circulatory systems 
Energy vs. body size Wealth vs. population 
Clicks vs. visitors 
Bettencourt et al., 2007; Wu et al., 2014 
Energy 
Money 
Attention 
West et al., 2011
Journal Articles Media Coverage 
Wu, L., J. Zhang, and M. Zhao, PLoS ONE, 2014 
Zhang J. and L. Wu, PLoS ONE, 2013 
Wu L. and J. Zhang, European Physical Journal B, 2013 
Wu L. and J. Zhang, Physical Review E, 2011 
Wu L, European Physical Journal B, 2011 
2013.1.14 Science Daily 
2013.1.14 Springer Select 
2011.1.11 New Scientist 
2011.9.1 Science Daily
From discrete (networks) to continuous (balls) space 
Flow network 
Dreyer, 2001; Wu et al., 2014 
Flow distance from source 
Li = radius r 
Li 
A d-dimensional flow ball 
24-h scaling in time q 24 hourly scaling 
relationships in space g 
Clicks 
vs. 
visitors 
1,000 Web forums 
g predicts q
Can we have elegant models that are useful? 
Geometric models on human behavior for computational social 
scientists 
Social Scientists know how to ask good questions on 
human behavior. 
Physicists know how to deal with geometric structures 
(e.g., Minkowski space as space-time manifold). 
Computer scientists know how to solve problems 
using geometric structures (e.g., manifold learning in 
machine learning).
Two Good Examples: 
Hyperbolic space model 
of social networks 
Papadopoulos et al., 2012 
Effective distance of 
disease diffusion in 
transportation networks 
Brockmann et al., 2013 
Escher, Circle Limit III, 1959.
Future work: 
Dynamics modeling and machine learning based on latent spaces 
Attention flows from English sites to Chinese ones 
and from the latest news to the older ones. 
DeepWalk by Bryan et al., SIGKDD 2014 
https://sites.google.com/site/bryanperozzi/projects/deepwalk 
Link prediction, community detection, 
recommendation… 
Money flows from the developed 
countries to the developing ones.
Thank you for your attention flow! 
http://lingfeiw.gitbooks.io/data-mining-in-social-science/ 
Lingfei.Wu@asu.edu

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Attention balls a geometric model of collective human behavior

  • 1. A Geometric Model of Collective Human Behavior LingfeiWu Attention Balls Post-doc @ Center for the Study of Institutional Diversity Collaborators Attention networks, balls, and allometric growth Geometric models on human behavior for computational social scientists
  • 2. Collaborators Lingfei Wu Marco Janssen Cheng-Jun Wang Jiang Zhang Min Zhao AS U AS U Nanjing U Beijing Normal U Baidu Inc. Computational Social Scientist Physicist Computer Scientist
  • 3. Attention networks and allometric growth Flow network model Information systems Circulatory systems Energy vs. body size Wealth vs. population Clicks vs. visitors Bettencourt et al., 2007; Wu et al., 2014 Energy Money Attention West et al., 2011
  • 4. Journal Articles Media Coverage Wu, L., J. Zhang, and M. Zhao, PLoS ONE, 2014 Zhang J. and L. Wu, PLoS ONE, 2013 Wu L. and J. Zhang, European Physical Journal B, 2013 Wu L. and J. Zhang, Physical Review E, 2011 Wu L, European Physical Journal B, 2011 2013.1.14 Science Daily 2013.1.14 Springer Select 2011.1.11 New Scientist 2011.9.1 Science Daily
  • 5. From discrete (networks) to continuous (balls) space Flow network Dreyer, 2001; Wu et al., 2014 Flow distance from source Li = radius r Li A d-dimensional flow ball 24-h scaling in time q 24 hourly scaling relationships in space g Clicks vs. visitors 1,000 Web forums g predicts q
  • 6. Can we have elegant models that are useful? Geometric models on human behavior for computational social scientists Social Scientists know how to ask good questions on human behavior. Physicists know how to deal with geometric structures (e.g., Minkowski space as space-time manifold). Computer scientists know how to solve problems using geometric structures (e.g., manifold learning in machine learning).
  • 7. Two Good Examples: Hyperbolic space model of social networks Papadopoulos et al., 2012 Effective distance of disease diffusion in transportation networks Brockmann et al., 2013 Escher, Circle Limit III, 1959.
  • 8. Future work: Dynamics modeling and machine learning based on latent spaces Attention flows from English sites to Chinese ones and from the latest news to the older ones. DeepWalk by Bryan et al., SIGKDD 2014 https://sites.google.com/site/bryanperozzi/projects/deepwalk Link prediction, community detection, recommendation… Money flows from the developed countries to the developing ones.
  • 9. Thank you for your attention flow! http://lingfeiw.gitbooks.io/data-mining-in-social-science/ Lingfei.Wu@asu.edu