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The growing literature on the propagation of COVID-19 relies on various dynamic SIR-type models (Susceptible-Infected-Recovered) which yield model-dependent results. For transparency and ease of comparing the results, we introduce a common…

Populations and Evolution · Quantitative Biology 2020-06-19 Christian Gourieroux , Joann Jasiak

In this work, we integrate the predictive capabilities of compartmental disease dynamics models with machine learning ability to analyze complex, high-dimensional data and uncover patterns that conventional models may overlook.…

Numerical Analysis · Mathematics 2025-05-28 Muhammad Awais , Abu Safyan Ali , Giacomo Dimarco , Federica Ferrarese , Lorenzo Pareschi

Social networks are an important infrastructure for information, viruses and innovations propagation. Since users behavior has influenced by other users activity, some groups of people would be made regard to similarity of users interests.…

Social and Information Networks · Computer Science 2013-09-30 Hamidreza Sotoodeh , Farshad Safaei , Arghavan Sanei , Elahe Daei

We introduce an \verb|R| package, called \verb|MPS|, for computing the probability density function, computing the cumulative distribution function, computing the quantile function, simulating random variables, and estimating the parameters…

Computation · Statistics 2018-09-11 Mahdi Teimouri

We consider a continuous-time Markov chain model of SIR disease dynamics with two levels of mixing. For this so-called stochastic households model, we provide two methods for inferring the model parameters---governing within-household…

Populations and Evolution · Quantitative Biology 2018-02-07 James N. Walker , Joshua V. Ross , Andrew J. Black

R has become a cornerstone of scientific and statistical computing due to its extensive package ecosystem, expressive syntax, and strong support for reproducible analysis. However, as data sizes and computational demands grow, native R…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-13 Xiran Zhang , Javier Conejero , Sameh Abdulah , Jorge Ejarque , Ying Sun , Rosa M. Badia , David E. Keyes , Marc G. Genton

The SIR model is a classical model characterizing the spreading of infectious diseases. This model describes the time-dependent quantity changes among Susceptible, Infectious, and Recovered groups. By introducing space-depend effects such…

Quantitative Methods · Quantitative Biology 2024-09-18 Md Abu Talha , Yongjia Xu , Shan Zhao , Weihua Geng

The present paper introduces a data-driven framework for describing the time-varying nature of an SIRD model in the context of COVID-19. By embedding a rolling regression in a mixed integer bilevel nonlinear programming problem, our aim is…

Populations and Evolution · Quantitative Biology 2021-03-04 Javier Rubio-Herrero , Yuchen Wang

We present a modelling framework for the spreading of epidemics on temporal networks from which both the individual-based and pair-based models can be recovered. The proposed temporal pair-based model that is systematically derived from…

Physics and Society · Physics 2020-11-17 Rory Humphries , Kieran Mulchrone , Jamie Tratalos , Simon More , Philipp Hövel

We propose a robust framework for interpretable, few-shot analysis of non-stationary sequential data based on flexible graphical models to express the structured distribution of sequential events, using prototype radial basis function (RBF)…

Machine Learning · Computer Science 2021-02-09 Yazan Qarout , Yordan P. Raykov , Max A. Little

We develop a new methodology for the efficient computation of epidemic final size distributions for a broad class of Markovian models. We exploit a particular representation of the stochastic epidemic process to derive a method which is…

Populations and Evolution · Quantitative Biology 2015-01-06 Andrew J. Black , J. V. Ross

In the past decade, the healthcare industry has made significant advances in the digitization of patient information. However, a lack of interoperability among healthcare systems still imposes a high cost to patients, hospitals, and…

Information Retrieval · Computer Science 2019-12-03 Daniel Cotter , V. K. Cody Bumgardner

Computational models for the simulation of the severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) epidemic evolution would be extremely useful to support authorities in designing healthcare policies and lockdown measures to…

Populations and Evolution · Quantitative Biology 2020-04-20 Marco Paggi

The past decade has witnessed a dramatic increase in the size and scope of biological and behavioral experiments. These experiments are providing an unprecedented level of detail and depth of data. However, this increase in data presents…

Quantitative Methods · Quantitative Biology 2014-04-03 Samuel V. Scarpino , Ross Gillette , David Crews

Bootstrapping is a popular and computationally demanding resampling method used for measuring the accuracy of sample estimates and assisting with statistical inference. R is a freely available language and environment for statistical…

Computation · Statistics 2014-01-27 T. M. Sloan , M. Piotrowski , T. Forster , P. Ghazal

Pairwise models are used widely to model epidemic spread on networks. These include the modelling of susceptible-infected-removed (SIR) epidemics on regular networks and extensions to SIS dynamics and contact tracing on more exotic networks…

Populations and Evolution · Quantitative Biology 2018-09-24 István Z. Kiss , Joel C. Miller , Péter L. Simon

Bringing together the information latent in distributed medical databases promises to personalize medical care by enabling reliable, stable modeling of outcomes with rich feature sets (including patient characteristics and treatments…

In this paper we propose a data-driven model for the spread of SARS-CoV-2 and use it to design optimal control strategies of human-mobility restrictions that both curb the epidemic and minimize the economic costs associated with…

Optimization and Control · Mathematics 2021-05-21 Mikhail Hayhoe , Francisco Barreras , Victor M. Preciado

Increasing rates of global trade and travel, as well as changing climatic patterns, have led to more frequent outbreaks of plant disease epidemics worldwide. Mathematical modelling is a key tool in predicting where and how these new threats…

Populations and Evolution · Quantitative Biology 2019-11-28 Frédéric Fabre , Jérôme Coville , Nik J. Cunniffe

Joint modeling has become increasingly popular for characterizing the association between one or more longitudinal biomarkers and competing risks time-to-event outcomes. However, semiparametric multivariate joint modeling for large-scale…

Methodology · Statistics 2025-06-17 Shanpeng Li , Emily Ouyang , Jin Zhou , Xinping Cui , Gang Li