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We consider the testing and estimation of change-points -- locations where the distribution abruptly changes -- in a data sequence. A new approach, based on scan statistics utilizing graphs representing the similarity between observations,…

Methodology · Statistics 2015-02-18 Hao Chen , Nancy Zhang

The rapid spread of COVID-19 disease has had a significant impact on the world. In this paper, we study COVID-19 data interpretation and visualization using open-data sources for 351 cities and towns in Massachusetts from December 6, 2020…

Social and Information Networks · Computer Science 2022-08-04 Ru Geng , Yixian Gao , Hongkun Zhang , Jian Zu

Metapopulation models provide the theoretical framework for describing disease spread between different populations connected by a network. In particular, these models are at the basis of most simulations of pandemic spread. They are…

Disordered Systems and Neural Networks · Physics 2010-10-12 Marc Barthelemy , Claude Godreche , Jean-Marc Luck

The rapid worldwide spread of the severe acute respiratory syndrome (SARS) demonstrated the potential threat an infectious disease poses in a closely interconnected and interdependent world. Here we introduce a probabilistic model which…

Disordered Systems and Neural Networks · Physics 2009-11-10 L. Hufnagel , D. Brockmann , T. Geisel

Stochasticity and spatial heterogeneity are of great interest recently in studying the spread of an infectious disease. The presented method solves an inverse problem to discover the effectively decisive topology of a heterogeneous network…

Artificial Intelligence · Computer Science 2015-03-13 Yoshiharu Maeno

We study the susceptible-infected-recovered (SIR) epidemic on a random graph chosen uniformly over all graphs with certain critical, heavy-tailed degree distributions. For this model, each vertex infects all its susceptible neighbors and…

Probability · Mathematics 2021-05-14 David Clancy

Recent research has focused on the monitoring of global-scale online data for improved detection of epidemics, mood patterns, movements in the stock market, political revolutions, box-office revenues, consumer behaviour and many other…

Social and Information Networks · Computer Science 2012-11-29 Manuel Garcia-Herranz , Esteban Moro Egido , Manuel Cebrian , Nicholas A. Christakis , James H. Fowler

We develop an extension of the Susceptible-Infected-Recovery (SIR) model to account for spatial variations in population as well as infection and recovery parameters. The equations are derived by taking the continuum limit of discrete…

Mesoscale and Nanoscale Physics · Physics 2025-02-04 Abhimanyu Ghosh

We analyze the dynamics of a population of independent random walkers on a graph and develop a simple model of epidemic spreading. We assume that each walker visits independently the nodes of a finite ergodic graph in a discrete-time…

Physics and Society · Physics 2021-01-19 Michael Bestehorn , Alejandro P. Riascos , Thomas M. Michelitsch , Bernard A. Collet

We investigate the information-theoretical limits of inference tasks in epidemic spreading on graphs in the thermodynamic limit. The typical inference tasks consist in computing observables of the posterior distribution of the epidemic…

Physics and Society · Physics 2023-12-25 Alfredo Braunstein , Louise Budzynski , Matteo Mariani

Population inhomogeneity, in the variation of the individual social contact networks and the individual infectious-recovery rates, renders the dynamics of infectious disease spreading uncertain. As a consequence the overlaying economical…

Physics and Society · Physics 2021-09-01 Jan B. Broekaert , Davide La Torre

The coronavirus pandemic has rapidly evolved into an unprecedented crisis. The susceptible-infectious-removed (SIR) model and its variants have been used for modeling the pandemic. However, time-independent parameters in the classical…

Populations and Evolution · Quantitative Biology 2020-09-09 Hyokyoung G. Hong , Yi Li

Influential nodes play a critical role in boosting or curbing spreading phenomena in complex networks. Numerous centrality measures have been proposed for identifying and ranking the nodes according to their importance. Classical centrality…

Social and Information Networks · Computer Science 2022-05-17 Stephany Rajeh , Marinette Savonnet , Eric Leclercq , Hocine Cherifi

Graph convolutional neural networks (GCNs) have shown tremendous promise in addressing data-intensive challenges in recent years. In particular, some attempts have been made to improve predictions of Susceptible-Infected-Recovered (SIR)…

Machine Learning · Statistics 2025-01-07 Petr Kisselev , Padmanabhan Seshaiyer

The COVID-19 pandemic has affected countries across the world, demanding drastic public health policies to mitigate the spread of infection, leading to economic crisis as a collateral damage. In this work, we investigated the impact of…

Machine Learning · Computer Science 2022-10-21 Syed Rizvi , Akash Awasthi , Maria J. Peláez , Zhihui Wang , Vittorio Cristini , Hien Van Nguyen , Prashant Dogra

The acute phase of the Covid-19 pandemic has made apparent the need for decision support based upon accurate epidemic modeling. This process is substantially hampered by under-reporting of cases and related data incompleteness issues. In…

Applications · Statistics 2026-03-10 Anastasios Apsemidis , Nikolaos Demiris

We study epidemic spreading processes in large networks, when the spread is assisted by a small number of external agents: infection sources with bounded spreading power, but whose movement is unrestricted vis-\`a-vis the underlying network…

Social and Information Networks · Computer Science 2014-04-15 Siddhartha Banerjee , Aditya Gopalan , Abhik Kumar Das , Sanjay Shakkottai

Non-Pharmaceutical Interventions (NPIs), such as social gathering restrictions, have shown effectiveness to slow the transmission of COVID-19 by reducing the contact of people. To support policy-makers, multiple studies have first modeled…

Machine Learning · Computer Science 2022-12-13 Yang Liu , Yu Rong , Zhuoning Guo , Nuo Chen , Tingyang Xu , Fugee Tsung , Jia Li

Forecasting disease spread is a critical tool to help public health officials design and plan public health interventions. However, the expected future state of an epidemic is not necessarily well defined as disease spread is inherently…

Populations and Evolution · Quantitative Biology 2026-05-05 Mariah C. Boudreau , Andrea J. Allen , Nicholas J. Roberts , Antoine Allard , Laurent Hébert-Dufresne

Identifying the most influential nodes in information networks has been the focus of many research studies. This problem has crucial applications in various contexts, such as controlling the propagation of viruses or rumours in real-world…

Social and Information Networks · Computer Science 2022-08-30 Ahmad Asgharian Rezaei , Justin Munoz , Mahdi Jalili , Hamid Khayyam