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This paper develops and analyzes optimization models for rapid detection of viruses in large contact networks. In the model, a virus spreads in a stochastic manner over an undirected connected graph, under various assumptions on the spread…

Optimization and Control · Mathematics 2021-06-16 Sudesh K. Agrawal , John J. Hasenbein

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

Source localization aims to locate information diffusion sources only given the diffusion observation, which has attracted extensive attention in the past few years. Existing methods are mostly tailored for single networks and may not be…

Social and Information Networks · Computer Science 2024-04-24 Chen Ling , Tanmoy Chowdhury , Jie Ji , Sirui Li , Andreas Züfle , Liang Zhao

We consider the problem of learning the weighted edges of a graph by observing the noisy times of infection for multiple epidemic cascades on this graph. Past work has considered this problem when the cascade information, i.e., infection…

Social and Information Networks · Computer Science 2019-08-13 Jessica Hoffmann , Constantine Caramanis

Most studies that consider the problem of estimating the location of a point source in wireless sensor networks assume that the source location is estimated by a set of spatially distributed sensors, whose locations are fixed. Motivated by…

Information Theory · Computer Science 2016-11-18 Mohammad Fanaei , Matthew C. Valenti , Natalia A. Schmid

In the classical facility location problem we consider a graph $G$ with fixed weights on the edges of $G$. The goal is then to find an optimal positioning for a set of facilities on the graph with respect to some objective function. We…

Data Structures and Algorithms · Computer Science 2014-06-10 Boaz Ben-Moshe , Michael Elkin , Lee-Ad Gottlieb , Eran Omri

We consider the problem of detecting an epidemic in a population where individual diagnoses are extremely noisy. The motivation for this problem is the plethora of examples (influenza strains in humans, or computer viruses in smartphones,…

Social and Information Networks · Computer Science 2014-02-07 Eli A. Meirom , Chris Milling , Constantine Caramanis , Shie Mannor , Ariel Orda , Sanjay Shakkottai

In this paper we use the MAP criterion to locate a region containing a source. Sensors placed in a field of interest divide the latter into smaller regions and take measurements that are transmitted over noisy wireless channels. We propose…

Optimization and Control · Mathematics 2009-03-19 S. H. Dandach , F. Bullo

We address the nonlinear inverse source problem of identifying a time-dependent source occurring in one node of a network governed by a wave equation. We prove that time records of the associated state taken at a strategic set of two nodes…

Optimization and Control · Mathematics 2019-05-22 J. G. Caputo , A. Hamdi , A. Knippel

Identifying important nodes for disease spreading is a central topic in network epidemiology. We investigate how well the position of a node, characterized by standard network measures, can predict its epidemiological importance in any…

Populations and Evolution · Quantitative Biology 2020-07-28 Doina Bucur , Petter Holme

We couple a multi-type stochastic epidemic process with a directed random graph, where edges have random lengths. This random graph representation is used to characterise the fractions of individuals infected by the different types of…

Probability · Mathematics 2018-01-29 Tom Britton , Ka Yin Leung , Pieter Trapman

The vast majority of strategies aimed at controlling contagion processes on networks considers the connectivity pattern of the system as either quenched or annealed. However, in the real world many networks are highly dynamical and evolve…

Physics and Society · Physics 2015-06-17 Suyu Liu , Nicola Perra , Marton Karsai , Alessandro Vespignani

We introduce an algorithm to locate contours of functions that are expensive to evaluate. The problem of locating contours arises in many applications, including classification, constrained optimization, and performance analysis of…

Machine Learning · Statistics 2018-12-20 Alexandre N. Marques , Remi R. Lam , Karen E. Willcox

Given a network of nodes, minimizing the spread of a contagion using a limited budget is a well-studied problem with applications in network security, viral marketing, social networks, and public health. In real graphs, virus may infect a…

Discrete Mathematics · Computer Science 2017-11-03 Muhammad Ahmad , Juvaria Tariq , Mudassir Shabbir , Imdadullah Khan

We consider the problem of learning over non-stationary ranking streams. The rankings can be interpreted as the preferences of a population and the non-stationarity means that the distribution of preferences changes over time. Our goal is…

Machine Learning · Statistics 2020-10-28 Ekhine Irurozki , Jesus Lobo , Aritz Perez , Javier Del Ser

We study the curing of epidemics of a network contagion, which is modelled using a variation of the classical Polya urn process that takes into account spatial infection among neighbouring nodes. We introduce several quantities for…

Optimization and Control · Mathematics 2017-11-09 Mikhail Hayhoe , Fady Alajaji , Bahman Gharesifard

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…

Physics and Society · Physics 2014-11-20 Andrey Y. Lokhov , Marc Mézard , Hiroki Ohta , Lenka Zdeborová

The investigation of dynamical processes on networks has been one focus for the study of contagion processes. It has been demonstrated that contagions can be used to obtain information about the embedding of nodes in a Euclidean space.…

Algebraic Topology · Mathematics 2022-07-20 Florian Klimm

We consider the optimization problem of seeding a spreading process on a temporal network so that the expected size of the resulting outbreak is maximized. We frame the problem for a spreading process following the rules of the…

Physics and Society · Physics 2020-10-20 Sirag Erkol , Dario Mazzilli , Filippo Radicchi

This paper presents a novel approach to root cause attribution of delivery risks within supply chains by integrating causal discovery with reinforcement learning. As supply chains become increasingly complex, traditional methods of root…

Artificial Intelligence · Computer Science 2025-06-12 Minheng Xiao
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