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Modeling epidemic dynamics plays an important role in studying how diseases spread, predicting their future course, and designing strategies to control them. In this letter, we introduce a model of SIR (susceptible-infected-removed) type…

种群与进化 · 定量生物学 2013-12-17 Li Chen , Fakhteh Ghanbarnejad , Weiran Cai , Peter Grassberger

The analysis of data from multiple experiments, such as observations of several individuals, is commonly approached using mixed-effects models, which account for variation between individuals through hierarchical representations. This makes…

统计计算 · 统计学 2026-03-05 Henrik Häggström , Sebastian Persson , Marija Cvijovic , Umberto Picchini

This paper develops mathematical tools to estimate seasonal changes in measles transmission rates and corresponding variation in population susceptibility. The tools are designed to leverage times series of cases in the absence of…

种群与进化 · 定量生物学 2024-05-17 Niket Thakkar , Sonia Jindal , Katherine Rosenfeld

In this article, we construct a numerical method for a stochastic version of the Susceptible Infected Susceptible (SIS) epidemic model, expressed by a suitable stochastic differential equation (SDE), by using the semi-discrete method to a…

数值分析 · 数学 2023-07-28 Yiannis Kiouvrekis , Ioannis S. Stamatiou

This paper presents a scenario-based model predictive control (MPC) scheme designed to control an evolving pandemic via non-pharmaceutical intervention (NPIs). The proposed approach combines predictions of possible pandemic evolution to…

We consider state and parameter estimation for compartmental models having both time-varying and time-invariant parameters. Though the described Bayesian computational framework is general, we look at a specific application to the…

计算工程、金融与科学 · 计算机科学 2023-11-07 Brandon Robinson , Philippe Bisaillon , Jodi D. Edwards , Tetyana Kendzerska , Mohammad Khalil , Dominique Poirel , Abhijit Sarkar

The expected number of secondary infections arising from each index case, referred to as the reproduction or $R$ number, is a vital summary statistic for understanding and managing epidemic diseases. There are many methods for estimating…

应用统计 · 统计学 2022-02-22 Joe Meagher , Nial Friel

Traditional epidemic models consider that individual processes occur at constant rates. That is, an infected individual has a constant probability per unit time of recovering from infection after contagion. This assumption certainly fails…

种群与进化 · 定量生物学 2013-03-18 Guillermo Abramson , Sebastian Gonçalves , Marcelo F. C. Gomes

Coronavirus COVID-19 spreads through the population mostly based on social contact. To gauge the potential for widespread contagion, to cope with associated uncertainty and to inform its mitigation, more accurate and robust modelling is…

Survival Analysis (SA) constitutes the default method for time-to-event modeling due to its ability to estimate event probabilities of sparsely occurring events over time. In this work, we show how to improve the training and inference of…

机器学习 · 计算机科学 2023-12-12 Chris Solomou

This paper introduces methodology for performing Bayesian inference sequentially on a sequence of posteriors on spaces of different dimensions. We show how this may be achieved through the use of sequential Monte Carlo (SMC) samplers (Del…

统计计算 · 统计学 2020-06-02 Richard G Everitt , Richard Culliford , Felipe Medina-Aguayo , Daniel J Wilson

Given the urgent informational needs connected with the diffusion of infection with regard to the COVID-19 pandemic, in this paper, we propose a sampling design for building a continuous-time surveillance system. Compared with other…

Background: Seasonal influenza causes a substantial burden on healthcare services over the winter period when these systems are already under pressure. Policies during the COVID-19 pandemic supressed the transmission of season influenza,…

Bangladesh's worsening dengue crisis, fueled by its tropical climate, poor waste management infrastructure, rapid urbanization, and dense population, has led to increasingly deadly outbreaks, posing a significant public health threat. To…

应用统计 · 统计学 2024-10-03 Mahmudul Bari Hridoy , S M Mustaquim

We investigate the effects of modular and temporal connectivity patterns on epidemic spreading. To this end, we introduce and analytically characterise a model of time-varying networks with tunable modularity. Within this framework, we…

物理与社会 · 物理学 2017-10-05 Matthieu Nadini , Kaiyuan Sun , Enrico Ubaldi , Michele Starnini , Alessandro Rizzo , Nicola Perra

We study the stochastic susceptible-infected-recovered (SIR) model with time-dependent forcing using analytic techniques which allow us to disentangle the interaction of stochasticity and external forcing. The model is formulated as a…

种群与进化 · 定量生物学 2010-11-23 Andrew J Black , Alan J McKane

This paper proposes a Sequential Monte Carlo approach for the Bayesian estimation of mixed causal and noncausal models. Unlike previous Bayesian estimation methods developed for these models, Sequential Monte Carlo offers extensive…

计量经济学 · 经济学 2025-01-08 Gianluca Cubadda , Francesco Giancaterini , Stefano Grassi

Empirical studies suggest that contact patterns follow heterogeneous inter-event times, meaning that intervals of high activity are followed by periods of inactivity. Combined with birth and death of individuals, these temporal constraints…

物理与社会 · 物理学 2013-03-25 Luis Enrique Correa Rocha , Vincent D. Blondel

Asynchronous events on the continuous time domain, e.g., social media actions and stock transactions, occur frequently in the world. The ability to recognize occurrence patterns of event sequences is crucial to predict which typeof events…

机器学习 · 计算机科学 2020-02-17 Qiang Zhang , Aldo Lipani , Omer Kirnap , Emine Yilmaz

Distribution-free uncertainty estimation for ensemble methods is increasingly desirable due to the widening deployment of multi-modal black-box predictive models. Conformal prediction is one approach that avoids such distributional…

统计方法学 · 统计学 2025-05-26 Eduardo Ochoa Rivera , Yash Patel , Ambuj Tewari
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