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Although we have made progress in understanding disease spread in complex systems with non-Poissonian activity patterns, current models still fail to capture the full range of recovery time distributions. In this paper, we propose an…

Social and Information Networks · Computer Science 2025-11-25 Jiexi Tang , Yichao Yao , Meiling Xie , Minyu Feng

Basic principles of statistical inference are commonly violated in network data analysis. Under the current approach, it is often impossible to identify a model that accommodates known empirical behaviors, possesses crucial inferential…

Statistics Theory · Mathematics 2017-01-02 Harry Crane , Walter Dempsey

We discuss various models for epidemics on networks that rely on Markov chains. Random walks on graphs are often used to predict epidemic spread and to investigate possible control actions to mitigate them. In this study, we demonstrate…

Physics and Society · Physics 2022-07-07 Sooyeong Kim , Jane Breen , Ekaterina Dudkina , Federico Poloni , Emanuele Crisostomi

Limited by the encoder-decoder architecture, learning-based edge detectors usually have difficulty predicting edge maps that satisfy both correctness and crispness. With the recent success of the diffusion probabilistic model (DPM), we…

Computer Vision and Pattern Recognition · Computer Science 2024-01-10 Yunfan Ye , Kai Xu , Yuhang Huang , Renjiao Yi , Zhiping Cai

The emergence of infectious disease COVID-19 has challenged and changed the world in an unprecedented manner. The integration of wireless networks with edge computing (namely wireless edge networks) brings opportunities to address this…

Social and Information Networks · Computer Science 2022-10-06 Xuran Li , Shuaishuai Guo , Hong-Ning Dai , Dengwang Li

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…

Computational Complexity · Computer Science 2024-09-04 Michal Dvořák , Dušan Knop , Šimon Schierreich

We study the problem of robust influence maximization in dynamic diffusion networks. In line with recent works, we consider the scenario where the network can undergo insertion and removal of nodes and edges, in discrete time steps, and the…

Databases · Computer Science 2024-12-17 Arkaprava Saha , Bogdan Cautis , Xiaokui Xiao , Laks V. S. Lakshmanan

The spread of an epidemic process is considered in the context of a spatial SIR stochastic model that includes a parameter $0\le p\le 1$ that assigns weights $p$ and $1- p$ to global and local infective contacts respectively. The model was…

Populations and Evolution · Quantitative Biology 2020-01-29 Gabriel Fabricius , Alberto Maltz

We study the Susceptible-Infectious-Susceptible (SIS) model on arbitrary networks. The well-established pair approximation treats neighboring pairs of nodes exactly while making a mean field approximation for the rest of the network. We…

Social and Information Networks · Computer Science 2026-05-05 George Cantwell , Cristopher Moore

In this paper we provide an analytical framework for investigating the efficiency of a consensus-based model for tackling global optimization problems. This work justifies the optimization algorithm in the mean-field sense showing the…

Analysis of PDEs · Mathematics 2018-02-08 José A. Carrillo , Young-Pil Choi , Claudia Totzeck , Oliver Tse

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

An important problem of reconstruction of diffusion network and transmission probabilities from the data has attracted a considerable attention in the past several years. A number of recent papers introduced efficient algorithms for the…

Physics and Society · Physics 2015-09-24 Andrey Y. Lokhov , Theodor Misiakiewicz

The exploration of epidemic dynamics on dynamically evolving ("adaptive") networks poses nontrivial challenges to the modeler, such as the determination of a small number of informative statistics of the detailed network state (that is, a…

Quantitative Methods · Quantitative Biology 2015-07-07 Assimakis A. Kattis , Alexander Holiday , Ana-Andreea Stoica , Ioannis G. Kevrekidis

Much traditional statistical modelling assumes that the outcome variables of interest are independent of each other when conditioned on the explanatory variables. This assumption is strongly violated in the case of infectious diseases,…

Populations and Evolution · Quantitative Biology 2019-11-28 Timothy Kinyanjui , Thomas House

Given a network, the critical node detection problem finds a subset of nodes whose removal disrupts the network connectivity. Since many real-world systems are naturally modeled as graphs, assessing the vulnerability of the network is…

Discrete Mathematics · Computer Science 2025-12-02 Tuguldur Bayarsaikhan , Altannar Chinchuluun , Ashwin Arulselvan , Panos Pardalos

The task of allocating preventative resources to a computer network in order to protect against the spread of viruses is addressed. Virus spreading dynamics are described by a linearized SIS model and protection is framed by an optimization…

Social and Information Networks · Computer Science 2014-01-23 Michael Zargham , Victor M. Preciado

Compartmental models of epidemics are widely used to forecast the effects of communicable diseases such as COVID-19 and to guide policy. Although it has long been known that such processes take place on social networks, the assumption of…

Physics and Society · Physics 2024-03-14 Samuel Johnson

The paper presents an algorithm for syndromic surveillance of an epidemic outbreak formulated in the context of stochastic nonlinear filtering. The dynamics of the epidemic is modeled using a generalized compartmental epidemiological model…

Quantitative Methods · Quantitative Biology 2011-10-24 Alex Skvortsov , Branko Ristic

To unravel the driving patterns of networks, the most popular models rely on community detection algorithms. However, these approaches are generally unable to reproduce the structural features of the network. Therefore, attempts are always…

Social and Information Networks · Computer Science 2022-09-07 Martina Contisciani , Hadiseh Safdari , Caterina De Bacco

This paper studies the problem of distributed classification with a network of heterogeneous agents. The agents seek to jointly identify the underlying target class that best describes a sequence of observations. The problem is first…

Artificial Intelligence · Computer Science 2020-11-24 James Z. Hare , Cesar A. Uribe , Lance Kaplan , Ali Jadbabaie
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