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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

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

Data Structures and Algorithms · Computer Science 2026-01-08 Ben Bals , Michelle Döring , Nicolas Klodt , George Skretas

Detecting the origin of information or infection spread in networks is a fundamental challenge with applications in misinformation tracking, epidemiology, and beyond. We study the multi-source detection problem: given snapshot observations…

Social and Information Networks · Computer Science 2025-12-02 Xingchao Jian , Purui Zhang , Lan Tian , Feng Ji , Wenfei Liang , Wee Peng Tay , Bihan Wen , Felix Krahmer

We consider the problem of finding the graph on which an epidemic cascade spreads, given only the times when each node gets infected. While this is a problem of importance in several contexts -- offline and online social networks,…

Social and Information Networks · Computer Science 2012-02-09 Praneeth Netrapalli , Sujay Sanghavi

Spreading processes on graphs are a natural model for a wide variety of real-world phenomena, including information spread over social networks and biological diseases spreading over contact networks. Often, the networks over which these…

Data Structures and Algorithms · Computer Science 2021-02-12 Jessica Enright , Kitty Meeks , George B. Mertzios , Viktor Zamaraev

We consider the problem of detecting the source of a rumor which has spread in a network using only observations about which set of nodes are infected with the rumor and with no information as to \emph{when} these nodes became infected. In…

Probability · Mathematics 2015-11-04 Devavrat Shah , Tauhid Zaman

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

The epidemic spreading of a disease can be described by a contact network whose nodes are persons or centers of contagion and links heterogeneous relations among them. We provide a procedure to identify multiple sources of an outbreak or…

Mathematical Physics · Physics 2012-11-13 Vincenzo Fioriti , Marta Chinnici

Information diffusion in networks can be used to model many real-world phenomena, including rumor spreading on online social networks, epidemics in human beings, and malware on the Internet. Informally speaking, the source localization…

Social and Information Networks · Computer Science 2015-10-08 Kai Zhu , Lei Ying

We study spreading processes in temporal graphs, i. e., graphs whose connections change over time. These processes naturally model real-world phenomena such as infectious diseases or information flows. More precisely, we investigate how…

Data Structures and Algorithms · Computer Science 2021-07-21 Hendrik Molter , Malte Renken , Philipp Zschoche

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 present a modelling framework for the spreading of epidemics on temporal networks from which both the individual-based and pair-based models can be recovered. The proposed temporal pair-based model that is systematically derived from…

Physics and Society · Physics 2020-11-17 Rory Humphries , Kieran Mulchrone , Jamie Tratalos , Simon More , Philipp Hövel

Identifying the infection sources in a network, including the index cases that introduce a contagious disease into a population network, the servers that inject a computer virus into a computer network, or the individuals who started a…

Discrete Mathematics · Computer Science 2015-03-20 Wuqiong Luo , Wee Peng Tay , Mei Leng

This paper studies the problem of detecting the information source in a network in which the spread of information follows the popular Susceptible-Infected-Recovered (SIR) model. We assume all nodes in the network are in the susceptible…

Social and Information Networks · Computer Science 2013-02-20 Kai Zhu , Lei Ying

A rumor spreading in a social network or a disease propagating in a community can be modeled as an infection spreading in a network. Finding the infection source is a challenging problem, which is made more difficult in many applications…

Social and Information Networks · Computer Science 2014-04-08 Wuqiong Luo , Wee Peng Tay , Mei Leng

Given an aftermath of a cascade in the network, i.e. a set $V_I$ of "infected" nodes after an epidemic outbreak or a propagation of rumors/worms/viruses, how can we infer the sources of the cascade? Answering this challenging question is…

Social and Information Networks · Computer Science 2016-08-24 Hung T. Nguyen , Preetam Ghosh , Michael L. Mayo , Thang N. Dinh

We study the epidemic source detection problem in contact tracing networks modeled as a graph-constrained maximum likelihood estimation problem using the susceptible-infected model in epidemiology. Based on a snapshot observation of the…

Social and Information Networks · Computer Science 2022-02-28 Pei-Duo Yu , Chee Wei Tan , Hung-Lin Fu

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

Detection of patient-zero can give new insights to the epidemiologists about the nature of first transmissions into a population. In this paper, we study the statistical inference problem of detecting the source of epidemics from a snapshot…

Social and Information Networks · Computer Science 2015-06-24 Nino Antulov-Fantulin , Alen Lancic , Tomislav Smuc , Hrvoje Stefancic , Mile Sikic

This paper investigates the problem of utilizing network topology and partial timestamps to detect the information source in a network. The problem incurs prohibitive cost under canonical maximum likelihood estimation (MLE) of the source…

Social and Information Networks · Computer Science 2019-06-02 Xuecheng Liu , Luoyi Fu , Bo Jiang , Xiaojun Lin , Xinbing Wang
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