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This article introduces epidemia, an R package for Bayesian, regression-oriented modeling of infectious diseases. The implemented models define a likelihood for all observed data while also explicitly modeling transmission dynamics: an…

Probabilistic forecasting consists in predicting a distribution of possible future outcomes. In this paper, we address this problem for non-stationary time series, which is very challenging yet crucially important. We introduce the STRIPE…

Machine Learning · Statistics 2021-04-13 Vincent Le Guen , Nicolas Thome

Providing accurate and reliable predictions about the future of an epidemic is an important problem for enabling informed public health decisions. Recent works have shown that leveraging data-driven solutions that utilize advances in deep…

Machine Learning · Computer Science 2023-11-21 Harshavardhan Kamarthi , B. Aditya Prakash

In regard to infectious diseases socioeconomic determinants are strongly associated with differential exposure and susceptibility however they are seldom accounted for by standard compartmental infectious disease models. These associations…

Applications · Statistics 2022-11-28 Alison C Hale , Jonathan M Read , Christopher P Jewell

In this paper, a first sample-based formulation of the recently considered population observers, or ensemble observers, which estimate the state distribution of dynamic populations from measurements of the output distribution is…

Optimization and Control · Mathematics 2017-12-01 Shen Zeng

Forecasting infectious disease outbreaks is hard. Forecasting emerging infectious diseases with limited historical data is even harder. In this paper, we investigate ways to improve emerging infectious disease forecasting under operational…

Parameter estimation and associated uncertainty quantification is an important problem in dynamical systems characterized by ordinary differential equation (ODE) models that are often nonlinear. Typically, such models have analytically…

Computation · Statistics 2024-03-26 Wai Meng Kwok , Sarat Chandra Dass , George Streftaris

Spreading processes, e.g. epidemics, wildfires and rumors, are often modeled on static networks. However, their underlying network structures, e.g. changing contacts in social networks, different weather forecasts for wildfires, are due to…

Systems and Control · Electrical Eng. & Systems 2023-02-07 Vera L. J. Somers , Ian R. Manchester

Intuitively, sampling is likely to be more efficient for prevalence estimation, if the cases (or positives) have a relatively higher representation in the sample than in the population. In case the virus is transmitted via personal…

Applications · Statistics 2020-11-18 Li-Chun Zhang

We consider the edge-based compartmental models for infectious disease spread introduced in Part I. These models allow us to consider standard SIR diseases spreading in random populations. In this paper we show how to handle deviations of…

Populations and Evolution · Quantitative Biology 2015-09-03 Joel C. Miller , Erik M. Volz

One difficulty for real-time tracking of epidemics is related to reporting delay. The reporting delay may be due to laboratory confirmation, logistic problems, infrastructure difficulties and so on. The ability to correct the available…

Developing efficient multi-objective optimization methods to compute the Pareto set of optimal compromises between conflicting objectives remains a key challenge, especially for large-scale and expensive problems. To bridge this gap, we…

Machine Learning · Computer Science 2026-02-05 Sedjro Salomon Hotegni , Sebastian Peitz

Prediction models that capture and use the structure of state-space dynamics can be very effective. In practice, however, one rarely has access to full information about that structure, and accurate reconstruction of the dynamics from…

Chaotic Dynamics · Physics 2016-03-01 Joshua Garland , Elizabeth Bradley

When surveillance data of infectious disease incidence (e.g. weekly case counts) are disaggregated by demographic indicators, disparities in long-run health outcomes between these groups become apparent. Accurate identification of high-risk…

Methodology · Statistics 2026-05-29 Miles Moran , Rob Trangucci , Lisa Madsen

Bayesian predictive inference provides a coherent description of entire predictive uncertainty through predictive distributions. We examine several widely used sparsity priors from the predictive (as opposed to estimation) inference…

Statistics Theory · Mathematics 2024-06-03 Veronika Rockova

A plethora of prediction models of SARS-CoV-2 pandemic were proposed in the past. Prediction performances not only depend on the structure and features of the model, but also on its parametrization. Official databases are often biased due…

Populations and Evolution · Quantitative Biology 2021-09-27 Yuri Kheifetz , Holger Kirsten , Markus Scholz

In the following short article we adapt a new and popular machine learning model for inference on medical data sets. Our method is based on the Variational AutoEncoder (VAE) framework that we adapt to survival analysis on small data sets…

Machine Learning · Statistics 2018-12-06 Cédric Beaulac , Jeffrey S. Rosenthal , David Hodgson

A time-delay embedding (TDE), grounded in the framework of Takens's Theorem, provides a mechanism to represent and analyze the inherent dynamics of time-series data. Recently, topological data analysis (TDA) methods have been applied to…

Methodology · Statistics 2024-10-18 Sixtus Dakurah , Jessi Cisewski-Kehe

In this paper we develop a novel approach for estimating large and sparse dynamic factor models using variational inference, also allowing for missing data. Inspired by Bayesian variable selection, we apply slab-and-spike priors onto the…

Methodology · Statistics 2022-10-14 Erik Spånberg

This article analyzes the problem of estimating the time until an event occurs, also known as survival modeling. We observe through substantial experiments on large real-world datasets and use-cases that populations are largely…

Machine Learning · Computer Science 2019-05-13 David Hubbard , Benoit Rostykus , Yves Raimond , Tony Jebara