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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 provide a systematic study of the problem of finding the source of a rumor in a network. We model rumor spreading in a network with a variant of the popular SIR model and then construct an estimator for the rumor source. This estimator…

Machine Learning · Statistics 2010-11-03 Devavrat Shah , Tauhid Zaman

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

This paper addresses the rumor source identification problem, where the goal is to find the origin node of a rumor in a network among a given set of nodes with the rumor. In this paper, we focus on a network represented by a regular tree…

Information Theory · Computer Science 2019-01-23 Tetsunao Matsuta , Tomohiko Uyematsu

We consider the so-called Independent Cascade Model for rumor spreading or epidemic processes popularized by Kempe et al.\ [2003]. In this model, a small subset of nodes from a network are the source of a rumor. In discrete time steps, each…

Social and Information Networks · Computer Science 2022-05-25 Petra Berenbrink , Max Hahn-Klimroth , Dominik Kaaser , Lena Krieg , Malin Rau

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

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

Social networks are the major routes for most individuals to exchange their opinions about new products, social trends and political issues via their interactions. It is often of significant importance to figure out who initially diffuses…

Social and Information Networks · Computer Science 2020-10-27 Jaeyoung Choi , Sangwoo Moon , Jiin Woo , Kyunghwan Son , Jinwoo Shin , Yung Yi

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

We study a rumor spreading model where individuals are connected via a network structure. Initially, only a small subset of the individuals are spreading a rumor. Each individual who is connected to a spreader, starts spreading the rumor…

Social and Information Networks · Computer Science 2023-05-16 Ahad N. Zehmakan , Charlotte Out , Sajjad Hesamipour Khelejan

Rumor source identification in large social networks has received significant attention lately. Most recent works deal with the scale of the problem by observing a subset of the nodes in the network, called sensors, to estimate the source.…

Social and Information Networks · Computer Science 2015-09-03 Alireza Louni , Anand Santhanakrishnan , K. P. Subbalakshmi

Push-Pull is a well-studied round-robin rumor spreading protocol defined as follows: initially a node knows a rumor and wants to spread it to all nodes in a network quickly. In each round, every informed node sends the rumor to a random…

Social and Information Networks · Computer Science 2014-10-31 Abbas Mehrabian , Ali Pourmiri

We develop a simple and generic method to analyze randomized rumor spreading processes in fully connected networks. In contrast to all previous works, which heavily exploit the precise definition of the process under investigation, we only…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-03-21 Benjamin Doerr , Anatolii Kostrygin

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

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

The wide spread of rumors on social media has caused a negative impact on people's daily life, leading to potential panic, fear, and mental health problems for the public. How to debunk rumors as early as possible remains a challenging…

Artificial Intelligence · Computer Science 2024-04-03 Tianrui Liu , Qi Cai , Changxin Xu , Bo Hong , Fanghao Ni , Yuxin Qiao , Tsungwei Yang

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 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

Recent years have seen various rumor diffusion models being assumed in detection of rumor source research of the online social network. Diffusion model is arguably considered as a very important and challengeable factor for source detection…

Social and Information Networks · Computer Science 2026-02-24 Rong Jin , Weili Wu

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
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