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We propose an integral model describing an epidemic of an infectious disease. The model is behavioural in the sense that the constitutive law for the force of infection includes a distributed delay, called "information index", that…

Dynamical Systems · Mathematics 2024-05-31 Bruno Buonomo , Eleonora Messina , Claudia Panico , Antonia Vecchio

Many real-world offline reinforcement learning (RL) problems involve continuous-time environments with delays. Such environments are characterized by two distinctive features: firstly, the state x(t) is observed at irregular time intervals,…

Machine Learning · Computer Science 2023-04-12 Samuel Holt , Alihan Hüyük , Zhaozhi Qian , Hao Sun , Mihaela van der Schaar

Counterfactual explanations utilize feature perturbations to analyze the outcome of an original decision and recommend an actionable recourse. We argue that it is beneficial to provide several alternative explanations rather than a single…

Machine Learning · Computer Science 2023-01-24 Natraj Raman , Daniele Magazzeni , Sameena Shah

It is not always clear how to adjust for control data in causal inference, balancing the goals of reducing bias and variance. We show how, in a setting with repeated experiments, Bayesian hierarchical modeling yields an adaptive procedure…

Methodology · Statistics 2025-01-23 Andrew Gelman , Matthijs Vákár

Delayed processes are ubiquitous in biological systems and are often characterized by delay differential equations (DDEs) and their extension to include stochastic effects. DDEs do not explicitly incorporate intermediate states associated…

Quantitative Methods · Quantitative Biology 2016-09-28 Jingchen Feng , Stuart Sevier , Bin Huang , Dongya Jia , Herbert Levine

Geostatistical analysis of health data is increasingly used to model spatial variation in malaria prevalence, burden, and other metrics. Traditional inference methods for geostatistical modelling are notoriously computationally intensive,…

Applications · Statistics 2023-05-04 Spencer Wong , Jennifer A. Flegg , Nick Golding , Sevvandi Kandanaarachchi

Within epidemiological modeling, the majority of analyses assume a single epidemic process for generating ground-truth data. However, this assumed data generation process can be unrealistic, since data sources for epidemics are often…

Artificial Intelligence · Computer Science 2021-06-22 Anna L. Trella , Peniel N. Argaw , Michelle M. Li , James A. Hay

Spatio-temporal counts of infectious disease cases often contain an excess of zeros. With existing zero inflated count models applied to such data it is difficult to quantify space-time heterogeneity in the effects of disease spread between…

Applications · Statistics 2022-04-19 Dirk Douwes-Schultz , Alexandra M. Schmidt

This paper presents a stochastic delayed differential model for rumor propagation during infodemic that incorporates human behavioral response, public skepticism and fact-checking mechanisms. A discrete time delay is introduced to model…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Lamia Alyami , Anis Hamadouche , Amir Hussain

In the wake of the 2020 COVID-19 epidemic, much work has been performed on the development of mathematical models for the simulation of the epidemic, and of disease models generally. Most works follow the susceptible-infected-removed (SIR)…

Numerical Analysis · Mathematics 2022-05-18 Nicola Guglielmi , Elisa Iacomini , Alex Viguerie

The paper presents an algorithm for syndromic surveillance of an epidemic outbreak formulated in the context of stochastic nonlinear filtering. The dynamics of the epidemic is modeled using a generalized compartmental epidemiological model…

Quantitative Methods · Quantitative Biology 2011-10-24 Alex Skvortsov , Branko Ristic

Deterministic compartmental models are predominantly used in the modeling of infectious diseases, though stochastic models are considered more realistic, yet are complicated to estimate due to missing data. In this paper we present a novel…

Computation · Statistics 2022-06-22 Shuying Wang , Stephen G. Walker

While the volume of electronic health records (EHR) data continues to grow, it remains rare for hospital systems to capture dense physiological data streams, even in the data-rich intensive care unit setting. Instead, typical EHR records…

Machine Learning · Computer Science 2018-12-04 Satya Narayan Shukla , Benjamin M. Marlin

The Integrated Nested Laplace Approximation (INLA) is a convenient way to obtain approximations to the posterior marginals for parameters in Bayesian hierarchical models when the latent effects can be expressed as a Gaussian Markov Random…

Computation · Statistics 2017-02-14 Virgilio Gómez-Rubio , Francisco Palmí-Perales

In this paper we address the problem of state observation of linear time-varying systems with delayed measurements, which has attracted the attention of many researchers|see [7] and references therein. We show that, adopting the parameter…

Systems and Control · Electrical Eng. & Systems 2020-08-21 Alexey Bobtsov , Nikolay Nikolaev , Romeo Ortega , Denis Efimov

Bayesian hierarchical models with latent Gaussian layers have proven very flexible in capturing complex stochastic behavior and hierarchical structures in high-dimensional spatial and spatio-temporal data. Whereas simulation-based Bayesian…

Methodology · Statistics 2017-08-10 Thomas Opitz

Identifiability is the property in mathematical modelling that determines if model parameters can be uniquely estimated from data. For infectious disease models, failure to ensure identifiability can lead to misleading parameter estimates…

Methodology · Statistics 2025-06-10 Fanny Bergström , Martina Favero , Tom Britton

The Integrated Nested Laplace Approximation (INLA) is a deterministic approach to Bayesian inference on latent Gaussian models (LGMs) and focuses on fast and accurate approximation of posterior marginals for the parameters in the models.…

Computation · Statistics 2021-03-05 Martin Outzen Berild , Sara Martino , Virgilio Gómez-Rubio , Håvard Rue

In record linkage (RL), or exact file matching, the goal is to identify the links between entities with information on two or more files. RL is an important activity in areas including counting the population, enhancing survey frames and…

Statistics Theory · Mathematics 2012-12-21 Michael D. Larsen

This work has been motivated by the challenge of the 2017 conference on Extreme-Value Analysis (EVA2017), with the goal of predicting daily precipitation quantiles at the $99.8\%$ level for each month at observed and unobserved locations.…

Methodology · Statistics 2018-02-06 Thomas Opitz , Raphaël Huser , Haakon Bakka , Håvard Rue
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