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Information diffusion, spreading of infectious diseases, and spreading of rumors are fundamental processes occurring in real-life networks. In many practical cases, one can observe when nodes become infected, but the underlying network,…

Social and Information Networks · Computer Science 2022-03-31 Liudmila Prokhorenkova , Alexey Tikhonov , Nelly Litvak

A growing body of literature attempts to learn about contagion using observational (i.e. non-experimental) data collected from a single social network. While the conclusions of these studies may be correct, the methods rely on assumptions…

Applications · Statistics 2017-06-30 Elizabeth L. Ogburn

In recent years the research community has accumulated overwhelming evidence for the emergence of complex and heterogeneous connectivity patterns in a wide range of biological and sociotechnical systems. The complex properties of real-world…

Physics and Society · Physics 2015-09-21 Romualdo Pastor-Satorras , Claudio Castellano , Piet Van Mieghem , Alessandro Vespignani

One of the major issues in the theoretical modeling of epidemic spreading is the development of methods to control the transmission of an infectious agent. Human behavior plays a fundamental role in the spreading dynamics and can be used to…

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

A key question in many network studies is whether the observed correlations between units are primarily due to contagion or latent confounding. Here, we study this question using a segregated graph (Shpitser, 2015) representation of these…

Machine Learning · Computer Science 2025-03-07 Yufeng Wu , Rohit Bhattacharya

During the ongoing COVID-19 pandemic, mathematical models of epidemic spreading have emerged as powerful tools to produce valuable predictions of the evolution of the pandemic, helping public health authorities decide which intervention…

Dynamical Systems · Mathematics 2021-11-18 Lorenzo Zino , Ming Cao

Contagion dynamics in complex networks drive critical phenomena such as epidemic spread and information diffusion,but their analysis remains computationally prohibitive in large-scale, high-complexity systems. Here, we introduce the…

Physics and Society · Physics 2024-12-31 Leyang Xue , Zengru Di , An Zeng

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

Change-point analysis has been successfully applied to the detect changes in multivariate data streams over time. In many applications, when data are observed over a graph/network, change does not occur simultaneously but instead spread…

Methodology · Statistics 2023-06-21 Hanqing Cai , Tengyao Wang

Influence propagation has been the subject of extensive study due to its important role in social networks, epidemiology, and many other areas. Understanding propagation mechanisms is critical to control the spread of fake news or…

Optimization and Control · Mathematics 2022-09-28 Vinicius Ferreira , Artur Pessoa , Thibaut Vidal

In many cases, tainted information in a computer network can spread in a way similar to an epidemics in the human world. On the other had, information processing paths are often redundant, so a single infection occurrence can be easily…

Physics and Society · Physics 2024-03-07 Franco Bagnoli , Emanuele Bellini , Emanuele Massaro

The paper presents an algorithm for syndromic surveillance of an epidemic outbreak formulated in the context of stochastic nonlinear filtering. The dynamics of the epidemic is modeled using a generalized compartmental epidemiological model…

Quantitative Methods · Quantitative Biology 2011-10-24 Alex Skvortsov , Branko Ristic

Though the studies of social contagions are regularly borrowing network models to study the propagation of social influences and opinions to include social heterogeneity. Such studies provide valuable insights regarding these, but the…

Physics and Society · Physics 2023-09-28 Dibyajyoti Mallick , Kumar Gaurav , Saumik Bhattacharya , Sayantari Ghosh

When modeling the dynamics of infectious disease, the incorporation of contact network information allows for the capture of the non-randomness and heterogeneity of realistic contact patterns. Oftentimes, it is assumed that the underlying…

Populations and Evolution · Quantitative Biology 2024-04-17 Maxwell H. Wang , Jukka-Pekka Onnela

We derive analytic expressions for the possibility, probability, and expected size of global spreading events starting from a single infected seed for a broad collection of contagion processes acting on random networks with both directed…

Physics and Society · Physics 2015-05-27 Joshua L. Payne , Kameron Decker Harris , Peter Sheridan Dodds

Models of epidemics over networks have become popular, as they describe the impact of individual behavior on infection spread. However, they come with high computational complexity, which constitutes a problem in case large-scale scenarios…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Davide Zorzenon , Fabio Molinari , Joerg Raisch

We investigate the information-theoretical limits of inference tasks in epidemic spreading on graphs in the thermodynamic limit. The typical inference tasks consist in computing observables of the posterior distribution of the epidemic…

Physics and Society · Physics 2023-12-25 Alfredo Braunstein , Louise Budzynski , Matteo Mariani

Centrality is a key property of complex networks that influences the behavior of dynamical processes, like synchronization and epidemic spreading, and can bring important information about the organization of complex systems, like our brain…

Physics and Society · Physics 2019-01-24 Francisco Aparecido Rodrigues

Epidemics-inspired techniques have received huge attention in recent years from the distributed systems and networking communities. These algorithms and protocols rely on probabilistic message replication and redundancy to ensure reliable…

Networking and Internet Architecture · Computer Science 2007-11-20 Salvatore Scellato , Cecilia Mascolo , Mirco Musolesi , Vito Latora