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We propose an extension of the classical susceptible infectious recovered (SIR) model that incorporates the effects of spatial propagation of an epidemic through a small number of additional compartments. The model is designed to capture…

Numerical Analysis · Mathematics 2026-03-02 M. Soledad Aronna , Mariana Bergonzi , Ernesto Kofman

We propose to use quantum computers to simulate infection spreading in networks. We first show the analogy between the infection distribution and spin-lattice configurations with Ising-type interactions. Then, since the spreading process…

Quantum Physics · Physics 2023-06-16 Xiaoyang Wang , Yinchenguang Lyu , Changyu Yao , Xiao Yuan

Providing computational infrastructure for handling diverse intensive care unit (ICU) datasets, the R package 'ricu' enables writing dataset-agnostic analysis code, thereby facilitating multi-center training and validation of machine…

Applications · Statistics 2021-08-03 Nicolas Bennett , Drago Plečko , Ida-Fong Ukor , Nicolai Meinshausen , Peter Bühlmann

To forecast the time dynamics of an epidemic, we propose a discrete stochastic model that unifies and generalizes previous approaches to the subject. Viewing a given population of individuals or groups of individuals with given health state…

This paper introduces an R package that implements Simultaneous non-Gaussian Component Analysis for data integration. SING uses a non-Gaussian measure of information to extract feature loadings and scores (latent variables) that are shared…

Applications · Statistics 2022-11-11 Liangkang Wang , Irina Gaynanova , Benjamin Risk

Compartmental models provide simple and efficient tools to analyze the relevant transmission processes during an outbreak, to produce short-term forecasts or transmission scenarios, and to assess the impact of vaccination campaigns.…

Numerical Analysis · Mathematics 2025-02-19 Caterina Millevoi , Damiano Pasetto , Massimiliano Ferronato

Partially observed Markov process (POMP) models, also known as hidden Markov models or state space models, are ubiquitous tools for time series analysis. The R package pomp provides a very flexible framework for Monte Carlo statistical…

Methodology · Statistics 2021-05-27 Aaron A. King , Dao Nguyen , Edward L. Ionides

Generation of realistic synthetic data has garnered considerable attention in recent years, particularly in the health research domain due to its utility in, for instance, sharing data while protecting patient privacy or determining optimal…

Other Statistics · Statistics 2025-01-30 Niki Z. Petrakos , Erica E. M. Moodie , Nicolas Savy

Epidemic spreading of infectious diseases is ubiquitous and has often considerable impact on public health and economic wealth. The large variability in spatio-temporal patterns of epidemics prohibits simple interventions and demands for a…

Populations and Evolution · Quantitative Biology 2010-11-25 Christel Kamp

This paper introduces the R package sgmcmc; which can be used for Bayesian inference on problems with large datasets using stochastic gradient Markov chain Monte Carlo (SGMCMC). Traditional Markov chain Monte Carlo (MCMC) methods, such as…

Computation · Statistics 2018-04-16 Jack Baker , Paul Fearnhead , Emily B. Fox , Christopher Nemeth

The patterns of human mobility play a key role in the spreading of infectious diseases and thus represent a key ingredient of epidemic modeling and forecasting. Unfortunately, as the Covid-19 pandemic has dramatically highlighted, for the…

Physics and Society · Physics 2024-08-28 Antonio Desiderio , Giulio Cimini , Gaetano Salina

Stochastic epidemic models describe the dynamics of an epidemic as a disease spreads through a population. Typically, only a fraction of cases are observed at a set of discrete times. The absence of complete information about the time…

Computation · Statistics 2017-02-14 Jonathan Fintzi , Xiang Cui , Jon Wakefield , Vladimir N. Minin

The software package $\texttt{mstate}$, in articulation with the package $\texttt{survival}$, provides not only a well-established multi-state survival analysis framework in R, but also one of the most complete, as it includes point and…

Computation · Statistics 2022-01-21 Rui J. Costa , Moritz Gerstung

Network science has increasingly become central to the field of epidemiology and our ability to respond to infectious disease threats. However, many networks derived from modern datasets are not just large, but dense, with a high ratio of…

Populations and Evolution · Quantitative Biology 2023-01-11 Alexander M. Mercier , Samuel V. Scarpino , Cristopher Moore

Sequential Monte Carlo methods are a powerful framework for approximating the posterior distribution of a state variable in a sequential manner. They provide an attractive way of analyzing dynamic systems in real-time, taking into account…

Populations and Evolution · Quantitative Biology 2024-08-29 Dhorasso Temfack , Jason Wyse

It is shown how to set up, conduct, and analyze large simulation studies with the new R package simsalapar = simulations simplified and launched parallel. A simulation study typically starts with determining a collection of input variables…

Computation · Statistics 2013-09-18 Marius Hofert , Martin Mächler

Monitoring the quality of statistical processes has been of great importance, mostly in industrial applications. Control charts are widely used for this purpose, but often lack the possibility to monitor survival outcomes. Recently,…

Applications · Statistics 2024-06-19 Daniel Gomon , Marta Fiocco , Hein Putter , Mirko Signorelli

We introduce a Python package for modeling and studying the spread of infectious diseases using an agent-based SEIR style epidemiological model with a focus on university campuses. This document explains the epidemiological model used in…

Populations and Evolution · Quantitative Biology 2020-11-13 Matthew Zalesak , Samitha Samaranayake

The stochastic modelling of biological systems is an informative, and in some cases, very adequate technique, which may however result in being more expensive than other modelling approaches, such as differential equations. We present…

Computational Engineering, Finance, and Science · Computer Science 2010-07-13 Marco Aldinucci , Andrea Bracciali , Pietro Liò , Anil Sorathiya , Massimo Torquati

Extensions in the field of joint modeling of correlated data and dynamic predictions improve the development of prognosis research. The R package frailtypack provides estimations of various joint models for longitudinal data and survival…

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