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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

Much research has been done on studying the diffusion of ideas or technologies on social networks including the \textit{Influence Maximization} problem and many of its variations. Here, we investigate a type of inverse problem. Given a…

Social and Information Networks · Computer Science 2014-04-28 Georgios Askalidis , Randall A. Berry , Vijay G. Subramanian

The scope of this paper is generative modeling through diffusion processes. An approach falling within this paradigm is the work of Song et al. (2021), which relies on a time-reversal argument to construct a diffusion process targeting the…

Machine Learning · Computer Science 2023-12-25 Stefano Peluchetti

Source localization is a representative inverse inference task in information propagation, aiming to identify the source node or node set that triggers the propagation results based on the observed information. A primary challenge is…

Social and Information Networks · Computer Science 2026-05-06 Yansong Wang , Qisen Chai , Longlong Lin , Tao Jia

Information diffusion and virus propagation are fundamental processes taking place in networks. While it is often possible to directly observe when nodes become infected with a virus or adopt the information, observing individual…

Data Structures and Algorithms · Computer Science 2015-03-17 Manuel Gomez-Rodriguez , Jure Leskovec , Andreas Krause

Diffusion processes in networks are increasingly used to model the spread of information and social influence. In several applications in computational sustainability such as the spread of wildlife, infectious diseases and traffic mobility…

Social and Information Networks · Computer Science 2013-09-27 Akshat Kumar , Daniel Sheldon , Biplav Srivastava

Localization phenomena permeate many branches of physics playing a fundamental role on dynamical processes evolving on heterogeneous networks. These localization analyses are frequently grounded, for example, on eigenvectors of adjacency or…

Physics and Society · Physics 2020-11-24 Diogo H. Silva , Silvio C. Ferreira

As the world becomes more and more interconnected, our everyday objects become part of the Internet of Things, and our lives get more and more mirrored in virtual reality, where every piece of~information, including misinformation, fake…

Social and Information Networks · Computer Science 2020-12-04 Robert Paluch , Łukasz G. Gajewski , Janusz A. Hołyst , Boleslaw K. Szymanski

Random walk is one of the basic mechanisms found in many network applications. We study the epidemic spreading dynamics driven by biased random walks on complex networks. In our epidemic model, each time infected nodes constantly spread…

Physics and Society · Physics 2015-06-22 Cunlai Pu , Siyuan Li , Jian Yang

Researchers, policy makers, and engineers need to make sense of data on spreading processes as diverse as viral infections, water contamination, and misinformation in social networks. Classical questions include predicting infection…

Data Structures and Algorithms · Computer Science 2025-03-19 Ben Bals

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

Epidemic spreading often occurs in spatially heterogeneous environments, yet how quenched heterogeneity reshapes its onset and critical dynamics remains poorly understood. The diffusive epidemic process, a minimal reaction-diffusion model…

Statistical Mechanics · Physics 2026-03-24 Valentin Anfray , Hong-Yan Shih

We consider the problem of identifying rumor sources in a network, in which rumor spreading obeys a time-slotted susceptible-infected model. Unlike existing approaches, our proposed algorithm identifies as sources those nodes, which when…

Signal Processing · Electrical Eng. & Systems 2018-10-02 Jiachun Pan , Wenyi Zhang

An important problem of reconstruction of diffusion network and transmission probabilities from the data has attracted a considerable attention in the past several years. A number of recent papers introduced efficient algorithms for the…

Physics and Society · Physics 2015-09-24 Andrey Y. Lokhov , Theodor Misiakiewicz

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

We study epidemic spreading processes in large networks, when the spread is assisted by a small number of external agents: infection sources with bounded spreading power, but whose movement is unrestricted vis-\`a-vis the underlying network…

Social and Information Networks · Computer Science 2014-04-15 Siddhartha Banerjee , Aditya Gopalan , Abhik Kumar Das , Sanjay Shakkottai

We consider the problem of identifying the source of an epidemic, spreading through a network, from a complete observation of the infected nodes in a snapshot of the network. Previous work on the problem has often employed geometric,…

Social and Information Networks · Computer Science 2019-06-13 S. Jalil Kazemitabar , Arash A. Amini

Identifying the source of epidemic-like spread in networks is crucial for removing internet viruses or finding the source of rumors in online social networks. The challenge lies in tracing the source from a snapshot observation of infected…

Social and Information Networks · Computer Science 2024-10-10 Pei-Duo Yu , Chee Wei Tan

We propose a model for epidemic spreading on a finite complex network with a restriction to at most one contamination per time step. Because of a highly discrete character of the process, the analysis cannot use the continous approximation,…

Physics and Society · Physics 2013-07-23 Wojciech Ganczarek

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…