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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

When an epidemic spreads in a network, a key question is where was its source, i.e., the node that started the epidemic. If we know the time at which various nodes were infected, we can attempt to use this information in order to identify…

Social and Information Networks · Computer Science 2016-12-28 Brunella Spinelli , L. Elisa Celis , Patrick Thiran

The problem of identifying the source of a propagation based on limited observations has been studied significantly in recent years, as it can help reducing the damage caused by unwanted infections. In this paper we present an efficient…

Social and Information Networks · Computer Science 2018-08-17 Shabnam Behzad , Arman Sepehr , Hamid Beigy , Mohammadzaman Zamani

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

How can we localize the source of diffusion in a complex network? Due to the tremendous size of many real networks--such as the Internet or the human social graph--it is usually infeasible to observe the state of all nodes in a network. We…

Social and Information Networks · Computer Science 2015-06-11 Pedro C. Pinto , Patrick Thiran , Martin Vetterli

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

Source localization, the act of finding the originator of a disease or rumor in a network, has become an important problem in sociology and epidemiology. The localization is done using the infection state and time of infection of a few…

Social and Information Networks · Computer Science 2017-02-07 Brunella Spinelli , L. Elisa Celis , Patrick Thiran

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

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

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 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

We study the problem of identifying the source of a diffusion spreading over a regular tree. When the degree of each node is at least three, we show that it is possible to construct confidence sets for the diffusion source with size…

Statistics Theory · Mathematics 2018-08-08 Justin Khim , Po-Ling Loh

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

Source detection (SD) is the task of finding the origin of a spreading process in a network. Algorithms for SD help us combat diseases, misinformation, pollution, and more, and have been studied by physicians, physicists, sociologists, and…

Data Structures and Algorithms · Computer Science 2025-08-14 Ben Bals , Michelle Döring , Nicolas Klodt , George Skretas

We study the nonlinear inverse source problem of detecting, localizing and identifying unknown accidental disturbances on forced and damped transmission networks. A first result is that strategic observation sets are enough to guarantee…

Optimization and Control · Mathematics 2024-11-11 Jean-Guy Caputo , Adel Hamdi

This paper continues the study of local detectability and observability requirements on components of distributed observers networks to ensure detectability properties of the network. First, we present a sketch of an elementary proof of the…

Systems and Control · Computer Science 2014-09-09 V. Ugrinovskii

To infer a diffusion network based on observations from historical diffusion processes, existing approaches assume that observation data contain exact occurrence time of each node infection, or at least the eventual infection statuses of…

Social and Information Networks · Computer Science 2023-12-14 Hao Huang , Qian Yan , Keqi Han , Ting Gan , Jiawei Jiang , Quanqing Xu , Chuanhui Yan

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

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

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
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