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We consider the task of estimating a network cascade as fast as possible. The cascade is assumed to spread according to a general Susceptible-Infected process with heterogeneous transmission rates from an unknown source in the network.…

Statistics Theory · Mathematics 2023-02-13 Anirudh Sridhar , Tirza Routtenberg , H. Vincent Poor

Suppose that a cascade (e.g., an epidemic) spreads on an unknown graph, and only the infection times of vertices are observed. What can be learned about the graph from the infection times caused by multiple distinct cascades? Most of the…

Statistics Theory · Mathematics 2024-05-07 Elchanan Mossel , Anirudh Sridhar

We study the problem of identifying the source of emerging large-scale outbreaks of foodborne disease. To solve the source identification problem we formulate a probabilistic model of the contamination diffusion process as a random walk on…

Physics and Society · Physics 2018-05-09 Abigail L. Horn , Hanno Friedrich

When dealing with the dissemination of epidemics, one important question that can be asked is the location where the contamination began. In this paper, we analyze three spreading schemes and propose and validate an effective methodology…

Physics and Society · Physics 2016-07-27 Cesar Henrique Comin , Luciano da Fontoura Costa

In many real-world scenarios, it is nearly impossible to collect explicit social network data. In such cases, whole networks must be inferred from underlying observations. Here, we formulate the problem of inferring latent social networks…

Social and Information Networks · Computer Science 2010-10-28 Seth A. Myers , Jure Leskovec

Information and individual activities often spread globally through the network of social ties. While social contagion phenomena have been extensively studied within the framework of threshold models, it is common to make an assumption that…

Physics and Society · Physics 2023-06-07 Teruyoshi Kobayashi

Current methods for the detection of contagious outbreaks give contemporaneous information about the course of an epidemic at best. Individuals at the center of a social network are likely to be infected sooner, on average, than those at…

Physics and Society · Physics 2011-07-26 Nicholas A. Christakis , James H. Fowler

Community structure is an important factor in the behavior of real-world networks because it strongly affects the stability and thus the phase transition order of the spreading dynamics. We here propose a reversible social contagion model…

Physics and Society · Physics 2018-06-13 Zhen Su , Wei Wang , Lixiang Li , H. Eugene Stanley , Lidia A. Braunstein

We consider the problem of identifying an infection source based only on an observed set of infected nodes in a network, assuming that the infection process follows a Susceptible-Infected-Susceptible (SIS) model. We derive an estimator…

Social and Information Networks · Computer Science 2013-09-17 Wuqiong Luo , Wee Peng Tay

In this paper, we consider the problem of locating the information source with sparse observations. We assume that a piece of information spreads in a network following a heterogeneous susceptible-infected-recovered (SIR) model and that a…

Social and Information Networks · Computer Science 2013-09-20 Kai Zhu , Lei Ying

Individual-based models of contagious processes are useful for predicting epidemic trajectories and informing intervention strategies. In such models, the incorporation of contact network information can capture the non-randomness and…

Populations and Evolution · Quantitative Biology 2023-11-09 Maxwell H. Wang , Jukka-Pekka Onnela

Bootstrap percolation is a process that is used to model the spread of an infection on a given graph. In the model considered here each vertex is equipped with an individual threshold. As soon as the number of infected neighbors exceeds…

Probability · Mathematics 2022-10-25 Nils Detering , Thilo Meyer-Brandis , Konstantinos Panagiotou

We study the problem of identifying infection sources in a network based on the network topology, and a subset of infection timestamps. In the case of a single infection source in a tree network, we derive the maximum likelihood estimator…

Social and Information Networks · Computer Science 2019-03-06 Wenchang Tang , Feng Ji , Wee Peng Tay

Identifying super-spreaders can be framed as a subtask of the influence maximisation problem. It seeks to pinpoint agents within a network that, if selected as single diffusion seeds, disseminate information most effectively. Multilayer…

Social and Information Networks · Computer Science 2025-10-27 Michał Czuba , Mateusz Stolarski , Adam Piróg , Piotr Bielak , Piotr Bródka

Detecting spreading outbreaks in social networks with sensors is of great significance in applications. Inspired by the formation mechanism of human's physical sensations to external stimuli, we propose a new method to detect the influence…

Physics and Society · Physics 2017-02-08 Sen Pei , Shaoting Tang , Zhiming Zheng

Several biological and social contagion phenomena, such as superspreading events or social reinforcement, are the results of multi-body interactions, for which hypergraphs offer a natural mathematical description. In this paper, we develop…

Influencing (and being influenced by) others through social networks is fundamental to all human societies. Whether this happens through the diffusion of rumors, opinions, or viruses, identifying the diffusion source (i.e., the person that…

Social and Information Networks · Computer Science 2022-09-05 Marcin Waniek , Manuel Cebrian , Petter Holme , Talal Rahwan

We develop a theoretical framework for the study of epidemic-like social contagion in large scale social systems. We consider the most general setting in which different communication platforms or categories form multiplex networks.…

Physics and Society · Physics 2015-06-16 E. Cozzo , R. A. Baños , S. Meloni , Y. Moreno

This monograph provides an overview of the mathematical theories and computational algorithm design for contagion source detection in large networks. By leveraging network centrality as a tool for statistical inference, we can accurately…

Social and Information Networks · Computer Science 2023-07-11 Chee Wei Tan , Pei-Duo Yu

Infectious or contagious diseases can be transmitted from one person to another through social contact networks. In today's interconnected global society, such contagion processes can cause global public health hazards, as exemplified by…

Social and Information Networks · Computer Science 2020-07-30 Anirban Dasgupta , Srijan Sengupta