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This study aims to estimate the parameters of a stochastic exposed-infected epidemiological model for the transmission dynamics of notifiable infectious diseases, based on observations related to isolated cases counts only. We use the…

Applications · Statistics 2024-04-15 Ibrahim Bouzalmat , Benoîte de Saporta , Solym M. Manou-Abi

We present an SI epidemic model whereby a continuous variable captures variability in proliferative potential and resistance to infection among susceptibles. The occurrence of heritable, spontaneous changes in these phenotype and the…

Populations and Evolution · Quantitative Biology 2021-12-30 Tommaso Lorenzi , Andrea Pugliese , Mattia Sensi , Agnese Zardini

Parameter inference is a fundamental problem in data-driven modeling. Given observed data that is believed to be a realization of some parameterized model, the aim is to find parameter values that are able to explain the observed data. In…

Data Structures and Algorithms · Computer Science 2016-04-20 Carlo Albert , Simone Ulzega , Ruedi Stoop

The recent COVID-19 pandemic has thrown the importance of accurately forecasting contagion dynamics and learning infection parameters into sharp focus. At the same time, effective policy-making requires knowledge of the uncertainty on such…

Machine Learning · Computer Science 2025-07-04 Thomas Gaskin , Tim Conrad , Grigorios A. Pavliotis , Christof Schütte

Seasonal variations in the incidence of infectious diseases are a well-established phenomenon, driven by factors such as climate changes, social behaviors, and ecological interactions that influence host susceptibility and transmission…

Populations and Evolution · Quantitative Biology 2024-10-23 Mahmudul Bari Hridoy

Recently, the world has witnessed the most severe pandemic (COVID-19) in this century. Studies on epidemic prediction and simulation have received increasing attention. However, the current methods suffer from three issues. First, most of…

Social and Information Networks · Computer Science 2023-03-31 Haoyu Geng , Guanjie Zheng , Zhengqing Han , Hua Wei , Zhenhui Li

Households represent a key unit of interest in infectious disease epidemiology, in both empirical studies and mathematical modelling. The within-household transmission potential of a disease is often summarised by a secondary attack ratio…

Applications · Statistics 2026-03-27 Joseph Brooks , Thomas House , Lorenzo Pellis , Joe Hilton

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

We present a new Bayesian inference method for compartmental models that takes into account the intrinsic stochasticity of the process. We show how to formulate a SIR-type Markov jump process as the solution of a stochastic differential…

Methodology · Statistics 2020-04-23 Benjamin Nguyen-Van-Yen , Pierre Del Moral , Bernard Cazelles

Many epidemic models are naturally defined as individual-based models: where we track the state of each individual within a susceptible population. Inference for individual-based models is challenging due to the high-dimensional state-space…

Methodology · Statistics 2025-08-04 Lorenzo Rimella , Christopher Jewell , Paul Fearnhead

Covariate-specific treatment effects (CSTEs) represent heterogeneous treatment effects across subpopulations defined by certain selected covariates. In this article, we consider marginal structural models where CSTEs are linearly…

Methodology · Statistics 2021-05-25 Peng Wu , Zhiqiang Tan , Wenjie Hu , Xiao-Hua Zhou

Unsupervised structure learning in high-dimensional time series data has attracted a lot of research interests. For example, segmenting and labelling high dimensional time series can be helpful in behavior understanding and medical…

Machine Learning · Computer Science 2017-05-25 Hao Liu , Haoli Bai , Lirong He , Zenglin Xu

Comparison of appropriate models to describe observational data is a fundamental task of science. The Bayesian model evidence, or marginal likelihood, is a computationally challenging, yet crucial, quantity to estimate to perform Bayesian…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-10 A. Spurio Mancini , M. M. Docherty , M. A. Price , J. D. McEwen

Computer simulations have long presented the exciting possibility of scientific insight into complex real-world processes. Despite the power of modern computing, however, it remains challenging to systematically perform inference under…

Machine Learning · Computer Science 2024-12-10 Sam Griesemer , Defu Cao , Zijun Cui , Carolina Osorio , Yan Liu

The impact of spatial structure on the spread of an epidemic is an important issue in the propagation of infectious diseases. Recent studies, both deterministic and stochastic, have made it possible to understand the importance of the…

Probability · Mathematics 2023-01-09 Alphonse Emakoua

Infectious disease dynamics operate across multiple biological scales, with within-host viral dynamics being a key driver of between-host transmission. However, while models that explicitly link these scales exist, none have been developed…

Applications · Statistics 2026-04-23 Dylan J. Morris , Lauren Kennedy , Andrew J. Black

The long duration of the COVID-19 pandemic allowed for multiple bursts in the infection and death rates, the so-called epidemic waves. This complex behavior is no longer tractable by simple compartmental model and requires more…

Electronic health records (EHR) are characterized as non-stationary, heterogeneous, noisy, and sparse data; therefore, it is challenging to learn the regularities or patterns inherent within them. In particular, sparseness caused mostly by…

Machine Learning · Computer Science 2020-03-03 Eunji Jun , Ahmad Wisnu Mulyadi , Jaehun Choi , Heung-Il Suk

In the Staged Progression (SP) epidemic models, infected individuals are classified into a suitable number of states. The goal of these models is to describe as closely as possible the effect of differences in infectiousness exhibited by…

Dynamical Systems · Mathematics 2024-02-08 Luis Sanz-Lorenzo , Rafael Bravo de la Parra

Infectious disease modeling and forecasting have played a key role in helping assess and respond to epidemics and pandemics. Recent work has leveraged data on disease peak infection and peak hospital incidence to fit compartmental models…