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The Jordan center of a graph is defined as a vertex whose maximum distance to other nodes in the graph is minimal, and it finds applications in facility location and source detection problems. We study properties of the Jordan Center in the…

社会与信息网络 · 计算机科学 2018-10-23 Sarath Pattathil , Nikhil Karamchandani , Dhruti Shah

We study the problem of estimating the origin of an epidemic outbreak -- given a contact network and a snapshot of epidemic spread at a certain time, determine the infection source. Finding the source is important in different contexts of…

物理与社会 · 物理学 2014-11-20 Andrey Y. Lokhov , Marc Mézard , Hiroki Ohta , Lenka Zdeborová

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…

社会与信息网络 · 计算机科学 2023-12-14 Hao Huang , Qian Yan , Keqi Han , Ting Gan , Jiawei Jiang , Quanqing Xu , Chuanhui Yan

In this paper we introduce a statistical inference framework for estimating the contagion source from a partially observed contagion spreading process on an arbitrary network structure. The framework is based on a maximum likelihood…

社会与信息网络 · 计算机科学 2015-03-12 Nino Antulov-Fantulin , Alen Lancic , Hrvoje Stefancic , Mile Sikic , Tomislav Smuc

We study the following model of disease spread in a social network. At first, all individuals are either infected or healthy. Next, in discrete rounds, the disease spreads in the network from infected to healthy individuals such that a…

计算复杂性 · 计算机科学 2024-09-04 Michal Dvořák , Dušan Knop , Šimon Schierreich

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…

社会与信息网络 · 计算机科学 2022-02-28 Pei-Duo Yu , Chee Wei Tan , Hung-Lin Fu

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…

社会与信息网络 · 计算机科学 2024-10-10 Pei-Duo Yu , Chee Wei Tan

How does one find important or influential people in an online social network? Researchers have proposed a variety of centrality measures to identify individuals that are, for example, often visited by a random walk, infected in an…

社会与信息网络 · 计算机科学 2013-03-20 Kristina Lerman , Prachi Jain , Rumi Ghosh , Jeon-Hyung Kang , Ponnurangam Kumaraguru

We present a Bayesian approach for the Contamination Source Detection problem in Water Distribution Networks. Given an observation of contaminants in one or more nodes in the network, we try to give probable explanation for it assuming that…

数据分析、统计与概率 · 物理学 2018-09-28 Ernesto Ortega , Alfredo Braunstein , Alejandro Lage-Castellanos

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…

物理与社会 · 物理学 2018-05-09 Abigail L. Horn , Hanno Friedrich

Nowadays, the diffusion of information through social networks is a powerful phenomenon. One common way to model diffusions in social networks is the Independent Cascade (IC) model. Given a set of infected nodes according to the IC model, a…

社会与信息网络 · 计算机科学 2026-05-20 Yael Sabato , Amos Azaria , Noam Hazon

We introduce a new method to efficiently approximate the number of infections resulting from a given initially-infected node in a network of susceptible individuals. Our approach is based on counting the number of possible infection walks…

生物物理 · 物理学 2012-10-25 Frank Bauer , Joseph T. Lizier

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…

数据结构与算法 · 计算机科学 2025-03-19 Ben Bals

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…

社会与信息网络 · 计算机科学 2023-07-11 Chee Wei Tan , Pei-Duo Yu

Consider stochastic models for the spread of an infection in a structured community, where this structured community is itself described by a random network model. Some common network models and transmission models are defined and large…

种群与进化 · 定量生物学 2019-08-16 Tom Britton

Global transport and communication networks enable information, ideas and infectious diseases now to spread at speeds far beyond what has historically been possible. To effectively monitor, design, or intervene in such epidemic-like…

物理与社会 · 物理学 2020-02-13 Sam Moore , Tim Rogers

In many cases, tainted information in a computer network can spread in a way similar to an epidemics in the human world. On the other had, information processing paths are often redundant, so a single infection occurrence can be easily…

物理与社会 · 物理学 2024-03-07 Franco Bagnoli , Emanuele Bellini , Emanuele Massaro

In this paper we consider a simple virus infection spread model on a finite population of $n$ agents connected by some neighborhood structure. Given a graph $G$ on $n$ vertices, we begin with some fixed number of initial infected vertices.…

概率论 · 数学 2013-03-21 Antar Bandyopadhyay , Farkhondeh Sajadi

The network inference problem consists of reconstructing the edge set of a network given traces representing the chronology of infection times as epidemics spread through the network. This problem is a paradigmatic representative of…

数据结构与算法 · 计算机科学 2013-08-14 Bruno Abrahao , Flavio Chierichetti , Robert Kleinberg , Alessandro Panconesi

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.…

统计理论 · 数学 2023-02-13 Anirudh Sridhar , Tirza Routtenberg , H. Vincent Poor