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Complex contagion models have been developed to understand a wide range of social phenomena such as adoption of cultural fads, the diffusion of belief, norms, and innovations in social networks, and the rise of collective action to join a…

Physics and Society · Physics 2018-07-04 Yong Zhuang , Osman Yağan

We study diffusion and consensus dynamics in a Network of Networks model. In this model, there is a collection of sub-networks, connected to one another using a small number of links. We consider a setting where the links between networks…

Social and Information Networks · Computer Science 2020-02-17 Yuhao Yi , Anirban Das , Stacy Patterson , Bassam Bamieh , Zhongzhi Zhang

How does network structure affect diffusion? Recent studies suggest that the answer depends on the type of contagion. Complex contagions, unlike infectious diseases (simple contagions), are affected by social reinforcement and homophily.…

Social and Information Networks · Computer Science 2013-11-12 Lilian Weng , Filippo Menczer , Yong-Yeol Ahn

A growing set of applications consider the process of network formation by using subgraphs as a tool for generating the network topology. One of the pressing research challenges is thus to be able to use these subgraphs to understand the…

Social and Information Networks · Computer Science 2019-04-11 Soumajyoti Sarkar , Hamidreza Alvari , Paulo Shakarian

The diffusion of information and behaviors over social networks is of considerable interest in research fields ranging from sociology to computer science and application domains such as marketing, finance, human health, and national…

Adaptation and Self-Organizing Systems · Physics 2009-12-31 Richard Colbaugh , Kristin Glass

When dealing with spreading processes on networks it can be of the utmost importance to test the reliability of data and identify potential unobserved spreading paths. In this paper we address these problems and propose methods for hidden…

Physics and Society · Physics 2021-08-18 Łukasz G. Gajewski , Jan Chołoniewski , Mateusz Wilinski

Community structures have been identified in various complex real-world networks, for example, communication, information, internet and shareholder networks. The scaling of community size distribution indicates the heterogeneity in the…

Physics and Society · Physics 2022-07-11 Qing Yao , Bingsheng Chen , Tim S. Evans , Kim Christensen

Most theoretical tools available for the analysis of spreading processes over networks assume exponentially distributed transmission and recovery times. In practice, the empirical distribution of transmission times for many real spreading…

Social and Information Networks · Computer Science 2016-11-04 Masaki Ogura , Victor M. Preciado

A detailed analysis of Twitter-based information cascades is performed, and it is demonstrated that branching process hypotheses are approximately satisfied. Using a branching process framework, models of agent-to-agent transmission are…

Typically, contagion strength is modeled by a transmission rate $\lambda$, whereby all nodes in a network are treated uniformly in a mean-field approximation. However, local agents react differently to the same contagion based on their…

Physics and Society · Physics 2014-01-28 Pouya Manshour , Afshin Montakhab

Interaction networks, consisting of agents linked by their interactions, are ubiquitous across many disciplines of modern science. Many methods of analysis of interaction networks have been proposed, mainly concentrating on node degree…

Molecular Networks · Quantitative Biology 2011-12-20 Aleksandar Stojmirović , Yi-Kuo Yu

We study properties of multi-layered, interconnected networks from an ensemble perspective, i.e. we analyze ensembles of multi-layer networks that share similar aggregate characteristics. Using a diffusive process that evolves on a…

Physics and Society · Physics 2017-01-24 Nicolas Wider , Antonios Garas , Ingo Scholtes , Frank Schweitzer

Using the dynamics of information propagation on a network as our illustrative example, we present and discuss a systematic approach to quantifying heterogeneity and its propagation that borrows established tools from Uncertainty…

Adaptation and Self-Organizing Systems · Physics 2015-11-25 Karthikeyan Rajendran , Andreas C. Tsoumanis , Constantinos I. Siettos , Carlo R. Laing , Ioannis G. Kevrekidis

Many social and biological networks consist of communities - groups of nodes within which connections are dense, but between which connections are sparser. Recently, there has been considerable interest in designing algorithms for detecting…

Physics and Society · Physics 2009-11-11 Chunguang Li , Philip K. Maini

Models of contagion dynamics, originally developed for infectious diseases, have proven relevant to the study of information, news, and political opinions in online social systems. Modelling diffusion processes and predicting viral…

Physics and Society · Physics 2019-06-19 Weihua Li , Skyler J. Cranmer , Zhiming Zheng , Peter J. Mucha

Global transport and communication networks enable information, ideas and infectious diseases now to spread at speeds far beyond what has historically been possible. To effectively monitor, design, or intervene in such epidemic-like…

Physics and Society · Physics 2020-02-13 Sam Moore , Tim Rogers

We propose a framework for studying predictability of extreme events in complex systems. Major conceptual elements -- direct cascading or fragmentation, spatial dynamics, and external driving -- are combined in a classical age-dependent…

Adaptation and Self-Organizing Systems · Physics 2007-08-14 Andrei Gabrielov , Vladimir Keilis-Borok , Ilya Zaliapin

Networks are widely used in the biological, physical, and social sciences as a concise mathematical representation of the topology of systems of interacting components. Understanding the structure of these networks is one of the outstanding…

Data Analysis, Statistics and Probability · Physics 2007-06-21 M. E. J. Newman , E. A. Leicht

Information, ideas, and diseases, or more generally, contagions, spread over space and time through individual transmissions via social networks, as well as through external sources. A detailed picture of any diffusion process can be…

Social and Information Networks · Computer Science 2021-02-08 Fangcao Xu , Bruce Desmarais , Donna Peuquet

Contagion processes have been proven to fundamentally depend on the structural properties of the interaction networks conveying them. Many real networked systems are characterized by clustered substructures representing either collections…

Physics and Society · Physics 2021-06-01 Giulio Burgio , Alex Arenas , Sergio Gómez , Joan T. Matamalas