Optimal deployment of resources for maximizing impact in spreading processes
Abstract
The effective use of limited resources for controlling spreading processes on networks is of prime significance in diverse contexts, ranging from the identification of “influential spreaders” for maximizing information dissemination and targeted interventions in regulatory networks, to the development of mitigation policies for infectious diseases and financial contagion in economic systems. Solutions for these optimization tasks that are based purely on topological arguments are not fully satisfactory; in realistic settings, the problem is often characterized by heterogeneous interactions and requires interventions in a dynamic fashion over a finite time window via a restricted set of controllable nodes. The optimal distribution of available resources hence results from an interplay between network topology and spreading dynamics. Here, we show how these problems can be addressed as particular instances of a universal analytical framework based on a scalable dynamic message-passing approach and demonstrate the efficacy of the method on a variety of real-world examples.
- Authors:
-
[1];
[2]
- Center for Nonlinear Studies and Theoretical Division T-4, Los Alamos National Laboratory, Los Alamos, NM 87545,
- The Nonlinearity and Complexity Research Group, Aston University, Birmingham B4 7ET, United Kingdom
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1389879
- Alternate Identifier(s):
- OSTI ID: 1392871
- Report Number(s):
- LA-UR-16-26490
Journal ID: ISSN 0027-8424
- Grant/Contract Number:
- AC52-06NA25396
- Resource Type:
- Published Article
- Journal Name:
- Proceedings of the National Academy of Sciences of the United States of America
- Additional Journal Information:
- Journal Name: Proceedings of the National Academy of Sciences of the United States of America Journal Volume: 114 Journal Issue: 39; Journal ID: ISSN 0027-8424
- Publisher:
- Proceedings of the National Academy of Sciences
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 97 MATHEMATICS AND COMPUTING; 60 APPLIED LIFE SCIENCES; Mathematics
Citation Formats
Lokhov, Andrey Y., and Saad, David. Optimal deployment of resources for maximizing impact in spreading processes. United States: N. p., 2017.
Web. doi:10.1073/pnas.1614694114.
Lokhov, Andrey Y., & Saad, David. Optimal deployment of resources for maximizing impact in spreading processes. United States. https://doi.org/10.1073/pnas.1614694114
Lokhov, Andrey Y., and Saad, David. Tue .
"Optimal deployment of resources for maximizing impact in spreading processes". United States. https://doi.org/10.1073/pnas.1614694114.
@article{osti_1389879,
title = {Optimal deployment of resources for maximizing impact in spreading processes},
author = {Lokhov, Andrey Y. and Saad, David},
abstractNote = {The effective use of limited resources for controlling spreading processes on networks is of prime significance in diverse contexts, ranging from the identification of “influential spreaders” for maximizing information dissemination and targeted interventions in regulatory networks, to the development of mitigation policies for infectious diseases and financial contagion in economic systems. Solutions for these optimization tasks that are based purely on topological arguments are not fully satisfactory; in realistic settings, the problem is often characterized by heterogeneous interactions and requires interventions in a dynamic fashion over a finite time window via a restricted set of controllable nodes. The optimal distribution of available resources hence results from an interplay between network topology and spreading dynamics. Here, we show how these problems can be addressed as particular instances of a universal analytical framework based on a scalable dynamic message-passing approach and demonstrate the efficacy of the method on a variety of real-world examples.},
doi = {10.1073/pnas.1614694114},
journal = {Proceedings of the National Academy of Sciences of the United States of America},
number = 39,
volume = 114,
place = {United States},
year = {Tue Sep 12 00:00:00 EDT 2017},
month = {Tue Sep 12 00:00:00 EDT 2017}
}
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https://doi.org/10.1073/pnas.1614694114
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Works referenced in this record:
Immunization of complex networks
journal, February 2002
- Pastor-Satorras, Romualdo; Vespignani, Alessandro
- Physical Review E, Vol. 65, Issue 3
Resistance mechanisms matter in SIR models
journal, May 2007
- Reluga, Timothy C.; Medlock, Jan
- Mathematical Biosciences and Engineering, Vol. 4, Issue 3
A partitioning approach to structural balance
journal, April 1996
- Doreian, Patrick; Mrvar, Andrej
- Social Networks, Vol. 18, Issue 2
Emergence of structural and dynamical properties of ecological mutualistic networks
journal, August 2013
- Suweis, Samir; Simini, Filippo; Banavar, Jayanth R.
- Nature, Vol. 500, Issue 7463
Information and Influence Propagation in Social Networks
journal, October 2013
- Chen, Wei; Lakshmanan, Laks V. S.; Castillo, Carlos
- Synthesis Lectures on Data Management, Vol. 5, Issue 4
A simple vaccination model with multiple endemic states
journal, April 2000
- Kribs-Zaleta, Christopher M.; Velasco-Hernández, Jorge X.
- Mathematical Biosciences, Vol. 164, Issue 2
Topological structure analysis of the protein-protein interaction network in budding yeast
journal, May 2003
- Bu, D.
- Nucleic Acids Research, Vol. 31, Issue 9
Optimizing spread dynamics on graphs by message passing
journal, September 2013
- Altarelli, F.; Braunstein, A.; Dall’Asta, L.
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2013, Issue 09
Optimizing Active Cyber Defense
book, January 2013
- Lu, Wenlian; Xu, Shouhuai; Yi, Xinlei
- Lecture Notes in Computer Science
Efficient immunization strategies on complex networks
journal, May 2010
- Nian, Fuzhong; Wang, Xingyuan
- Journal of Theoretical Biology, Vol. 264, Issue 1
MuxViz: a tool for multilayer analysis and visualization of networks
journal, October 2014
- De Domenico, M.; Porter, M. A.; Arenas, A.
- Journal of Complex Networks, Vol. 3, Issue 2
Structure and dynamics of molecular networks: A novel paradigm of drug discovery
journal, June 2013
- Csermely, Peter; Korcsmáros, Tamás; Kiss, Huba J. M.
- Pharmacology & Therapeutics, Vol. 138, Issue 3
An Efficient Curing Policy for Epidemics on Graphs
journal, July 2014
- Drakopoulos, Kimon; Ozdaglar, Asuman; Tsitsiklis, John N.
- IEEE Transactions on Network Science and Engineering, Vol. 1, Issue 2
Finding the probability of infection in an SIR network is NP-Hard
journal, December 2012
- Shapiro, Michael; Delgado-Eckert, Edgar
- Mathematical Biosciences, Vol. 240, Issue 2
Robust network community detection using balanced propagation
journal, May 2011
- Šubelj, L.; Bajec, M.
- The European Physical Journal B, Vol. 81, Issue 3
Frequent Travelers and Rate of Spread of Epidemics
journal, September 2007
- Hollingsworth, T. Déirdre; Ferguson, Neil M.; Anderson, Roy M.
- Emerging Infectious Diseases, Vol. 13, Issue 9
Robust Influence Maximization
conference, January 2016
- Chen, Wei; Lin, Tian; Tan, Zihan
- Proceedings of the 22nd ACM SIGKDD International Conference on Knowledge Discovery and Data Mining - KDD '16
Collective Influence Algorithm to find influencers via optimal percolation in massively large social media
journal, July 2016
- Morone, Flaviano; Min, Byungjoon; Bo, Lin
- Scientific Reports, Vol. 6, Issue 1
Contagion in an interacting economy
journal, March 2015
- Paga, Pierre; Kühn, Reimer
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2015, Issue 3
The role of the airline transportation network in the prediction and predictability of global epidemics
journal, February 2006
- Colizza, Vittoria; Barrat, Alain; Barthélemy, Marc
- Proceedings of the National Academy of Sciences, Vol. 103, Issue 7
Spread of epidemic disease on networks
journal, July 2002
- Newman, M. E. J.
- Physical Review E, Vol. 66, Issue 1
Global efficiency of local immunization on complex networks
journal, July 2013
- Hébert-Dufresne, Laurent; Allard, Antoine; Young, Jean-Gabriel
- Scientific Reports, Vol. 3, Issue 1
Bayesian Inference of Epidemics on Networks via Belief Propagation
journal, March 2014
- Altarelli, Fabrizio; Braunstein, Alfredo; Dall’Asta, Luca
- Physical Review Letters, Vol. 112, Issue 11
Maximizing the spread of influence through a social network
conference, January 2003
- Kempe, David; Kleinberg, Jon; Tardos, Éva
- Proceedings of the ninth ACM SIGKDD international conference on Knowledge discovery and data mining - KDD '03
Rescuing ecosystems from extinction cascades through compensatory perturbations
journal, January 2011
- Sahasrabudhe, Sagar; Motter, Adilson E.
- Nature Communications, Vol. 2, Issue 1
Stability analysis of financial contagion due to overlapping portfolios
journal, September 2014
- Caccioli, Fabio; Shrestha, Munik; Moore, Cristopher
- Journal of Banking & Finance, Vol. 46
Mining the network value of customers
conference, January 2001
- Domingos, Pedro; Richardson, Matt
- Proceedings of the seventh ACM SIGKDD international conference on Knowledge discovery and data mining - KDD '01
Financial Contagion
journal, February 2000
- Allen, Franklin; Gale, Douglas
- Journal of Political Economy, Vol. 108, Issue 1
Network dismantling
journal, October 2016
- Braunstein, Alfredo; Dall’Asta, Luca; Semerjian, Guilhem
- Proceedings of the National Academy of Sciences, Vol. 113, Issue 44
Efficient Immunization Strategies for Computer Networks and Populations
journal, December 2003
- Cohen, Reuven; Havlin, Shlomo; ben-Avraham, Daniel
- Physical Review Letters, Vol. 91, Issue 24
UbiCrawler: a scalable fully distributed Web crawler
journal, July 2004
- Boldi, Paolo; Codenotti, Bruno; Santini, Massimo
- Software: Practice and Experience, Vol. 34, Issue 8
Controlling Pandemic Flu: The Value of International Air Travel Restrictions
journal, May 2007
- Epstein, Joshua M.; Goedecke, D. Michael; Yu, Feng
- PLoS ONE, Vol. 2, Issue 5
Message-passing approach for threshold models of behavior in networks
journal, February 2014
- Shrestha, Munik; Moore, Cristopher
- Physical Review E, Vol. 89, Issue 2
Graph evolution: Densification and shrinking diameters
journal, March 2007
- Leskovec, Jure; Kleinberg, Jon; Faloutsos, Christos
- ACM Transactions on Knowledge Discovery from Data, Vol. 1, Issue 1
Locating the Source of Diffusion in Large-Scale Networks
journal, August 2012
- Pinto, Pedro C.; Thiran, Patrick; Vetterli, Martin
- Physical Review Letters, Vol. 109, Issue 6
Targeting the Raf-MEK-ERK mitogen-activated protein kinase cascade for the treatment of cancer
journal, May 2007
- Roberts, P. J.; Der, C. J.
- Oncogene, Vol. 26, Issue 22
Optimal trajectories of brain state transitions
journal, March 2017
- Gu, Shi; Betzel, Richard F.; Mattar, Marcelo G.
- NeuroImage, Vol. 148
Epidemic processes in complex networks
journal, August 2015
- Pastor-Satorras, Romualdo; Castellano, Claudio; Van Mieghem, Piet
- Reviews of Modern Physics, Vol. 87, Issue 3
Computational model for autophagic vesicle dynamics in single cells
journal, January 2013
- Martin, Katie R.; Barua, Dipak; Kauffman, Audra L.
- Autophagy, Vol. 9, Issue 1
The Hidden Geometry of Complex, Network-Driven Contagion Phenomena
journal, December 2013
- Brockmann, D.; Helbing, D.
- Science, Vol. 342, Issue 6164
Influence maximization in complex networks through optimal percolation
journal, July 2015
- Morone, Flaviano; Makse, Hernán A.
- Nature, Vol. 524, Issue 7563
How to distribute antidote to control epidemics: How to Distribute Antidote to Control Epidemics
journal, February 2010
- Borgs, Christian; Chayes, Jennifer; Ganesh, Ayalvadi
- Random Structures & Algorithms, Vol. 37, Issue 2
Message passing approach for general epidemic models
journal, July 2010
- Karrer, Brian; Newman, M. E. J.
- Physical Review E, Vol. 82, Issue 1
The search engine manipulation effect (SEME) and its possible impact on the outcomes of elections
journal, August 2015
- Epstein, Robert; Robertson, Ronald E.
- Proceedings of the National Academy of Sciences, Vol. 112, Issue 33
Minimal Contagious Sets in Random Regular Graphs
journal, October 2014
- Guggiola, Alberto; Semerjian, Guilhem
- Journal of Statistical Physics, Vol. 158, Issue 2
Targeting the mitogen-activated protein kinase cascade to treat cancer
journal, December 2004
- Sebolt-Leopold, Judith S.; Herrera, Roman
- Nature Reviews Cancer, Vol. 4, Issue 12, p. 937-947
Attack vulnerability of complex networks
journal, May 2002
- Holme, Petter; Kim, Beom Jun; Yoon, Chang No
- Physical Review E, Vol. 65, Issue 5
Identification of influential spreaders in complex networks
journal, August 2010
- Kitsak, Maksim; Gallos, Lazaros K.; Havlin, Shlomo
- Nature Physics, Vol. 6, Issue 11
Estimated global mortality associated with the first 12 months of 2009 pandemic influenza A H1N1 virus circulation: a modelling study
journal, September 2012
- Dawood, Fatimah S.; Iuliano, A. Danielle; Reed, Carrie
- The Lancet Infectious Diseases, Vol. 12, Issue 9
Robust Influence Maximization
conference, January 2016
- He, Xinran; Kempe, David
- Proceedings of the 22nd ACM SIGKDD International Conference on Knowledge Discovery and Data Mining - KDD '16
Inferring the origin of an epidemic with a dynamic message-passing algorithm
journal, July 2014
- Lokhov, Andrey Y.; Mézard, Marc; Ohta, Hiroki
- Physical Review E, Vol. 90, Issue 1
Complex networks: Structure and dynamics
journal, February 2006
- Boccaletti, S.; Latora, V.; Moreno, Y.
- Physics Reports, Vol. 424, Issue 4-5
Efficient local strategies for vaccination and network attack
journal, December 2004
- Holme, P.
- Europhysics Letters (EPL), Vol. 68, Issue 6
Threshold Models of Collective Behavior
journal, May 1978
- Granovetter, Mark
- American Journal of Sociology, Vol. 83, Issue 6