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We present the Small-Coupling Dynamic Cavity (SCDC) method, a novel generalized mean-field approximation for epidemic inference and risk assessment within a fully Bayesian framework. SCDC accounts for non-causal effects of observations and…

Disordered Systems and Neural Networks · Physics 2025-05-01 Alfredo Braunstein , Giovanni Catania , Luca Dall'Asta , Matteo Mariani , Fabio Mazza , Mattia Tarabolo

In the present paper, our goal is to establish a framework for the mathematical modelling and the analysis of the spread of an epidemic in a large population commuting regularly, typically along a time-periodic pattern, as is roughly…

Populations and Evolution · Quantitative Biology 2024-08-29 Pierre-Alexandre Bliman , Boureima Sangaré , Assane Savadogo

As the costs of sensors and associated IT infrastructure decreases - as exemplified by the Internet of Things - increasing volumes of observational data are becoming available for use by environmental scientists. However, as the number of…

Machine Learning · Statistics 2022-01-26 Charlie Kirkwood , Theo Economou , Henry Odbert , Nicolas Pugeault

The time-varying reproduction number ($R_t$) gives an indication of the trajectory of an infectious disease outbreak. Commonly used frameworks for inferring $R_t$ from epidemiological time series include those based on compartmental models…

The emergence and spread of deadly pandemics has repeatedly occurred throughout history, causing widespread infections and loss of life. The rapid spread of pandemics have made governments across the world adopt a range of actions,…

Populations and Evolution · Quantitative Biology 2024-01-15 Marianna Karapitta , Andreas Kasis , Charithea Stylianides , Kleanthis Malialis , Panayiotis Kolios

With extreme weather events becoming more common, the risk posed by surface water flooding is ever increasing. In this work we propose a model, and associated Bayesian inference scheme, for generating probabilistic (high-resolution…

This study investigates the spatial integration of agent-based models (ABMs) and compartmental models for infectious disease modeling, presenting a novel hybrid approach and examining its implications. ABMs offer detailed insights by…

Populations and Evolution · Quantitative Biology 2025-02-06 Inan Bostanci , Tim Conrad

Influenza remains a significant burden on health systems. Effective responses rely on the timely understanding of the magnitude and the evolution of an outbreak. For monitoring purposes, data on severe cases of influenza in England are…

A key problem in modelling the evolution dynamics of infectious diseases is the mathematical representation of the mechanism of transmission of the contagion. Models with a finite number of subpopulations can be described via systems of…

Optimization and Control · Mathematics 2017-03-09 Sebastian Anita , Vincenzo Capasso

An expectation-based scan statistic is proposed for the prospective monitoring of spatio-temporal count data with an excess of zeros. The method, which is based on an outbreak model for the zero-inflated Poisson distribution, is shown to be…

Methodology · Statistics 2017-12-27 Benjamin Allévius , Michael Höhle

Bayesian aggregation lets election forecasters combine diverse sources of information, such as state polls and economic and political indicators: as in our collaboration with The Economist magazine. However, the demands of real-time…

Methodology · Statistics 2025-10-23 Geonhee Han , Andrew Gelman , Aki Vehtari

Mutations sometimes increase contagiousness for evolving pathogens. During an epidemic, scientists use viral genome data to infer a shared evolutionary history and connect this history to geographic spread. We propose a model that directly…

Populations and Evolution · Quantitative Biology 2021-09-14 Andrew J. Holbrook , Xiang Ji , Marc A. Suchard

The importance of spatial networks in the spread of an epidemic is an essential aspect in modeling the dynamics of an infectious disease. Additionally, any realistic data-driven model must take into account the large uncertainty in the…

Populations and Evolution · Quantitative Biology 2022-01-17 Giulia Bertaglia , Lorenzo Pareschi

Phylogenetic comparative methods correct for shared evolutionary history among a set of non-independent organisms by modeling sample traits as arising from a diffusion process along on the branches of a possibly unknown history. To…

Applications · Statistics 2020-09-30 Paul Bastide , Lam Si Tung Ho , Guy Baele , Philippe Lemey , Marc A Suchard

In recent years, disease mapping studies have become a routine application within geographical epidemiology and are typically analysed within a Bayesian hierarchical model formulation. A variety of model formulations for the latent level…

Methodology · Statistics 2016-01-07 Andrea Riebler , Sigrunn H. Sørbye , Daniel Simpson , Håvard Rue

Infectious diseases usually originate from a specific location within a city. Due to the heterogenous distribution of population and public facilities, and the structural heterogeneity of human mobility network embedded in space, infectious…

Physics and Society · Physics 2022-04-25 Kang Liu , Ling Yin , Jianzhang Xue

In this paper, we propose a Bayesian matrix-variate spatiotemporal modeling framework for jointly analyzing multiple response variables observed at spatial locations over time. The approach relaxes the standard assumption of spatial…

Methodology · Statistics 2026-04-23 Rodrigo de Souza Bulhões , Marina Silva Paez , Dani Gamerman

Mechanistic mathematical models of within-host viral dynamics are tools for understanding how a virus' biology and its interaction with the immune system shape the infectivity of a host. The biology of the process is encoded by the…

Applications · Statistics 2025-12-11 Dylan J. Morris , Lauren Kennedy , Andrew J. Black

Reconstructing evolutionary histories and estimating the rate of evolution from molecular sequence data is of central importance in evolutionary biology and infectious disease research. We introduce a flexible Bayesian phylogenetic…

Methodology · Statistics 2025-10-15 Pratyusa Datta , Philippe Lemey , Marc A. Suchard

To study the impact of climate variables on morbidity of some diseases in Mexico, we propose a spatio-temporal varying coefficients regression model. For that we introduce a new spatio-temporal dependent process prior, in a Bayesian…

Applications · Statistics 2019-12-02 Luis E. Nieto-Barajas
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