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Despite the progress in medical data collection the actual burden of SARS-CoV-2 remains unknown due to under-ascertainment of cases. This was apparent in the acute phase of the pandemic and the use of reported deaths has been pointed out as…

Applications · Statistics 2023-07-13 Anastasia Chatzilena , Nikolaos Demiris , Konstantinos Kalogeropoulos

In the face of an infectious disease, a key epidemiological measure is the basic reproduction number, which quantifies the average secondary infections caused by a single case in a susceptible population. In practice, the effective…

Physics and Society · Physics 2025-03-11 Xin-Jian Xu , Song-Jie He , Li-Jie Zhang

The automatic generation of radiology reports has emerged as a promising solution to reduce a time-consuming task and accurately capture critical disease-relevant findings in X-ray images. Previous approaches for radiology report generation…

Computer Vision and Pattern Recognition · Computer Science 2025-04-17 Sang-Jun Park , Keun-Soo Heo , Dong-Hee Shin , Young-Han Son , Ji-Hye Oh , Tae-Eui Kam

Nowcasting and forecasting of epidemic spreading rely on incidence series of reported cases to derive the fundamental epidemiological parameters for a given pathogen. Two relevant drawbacks for predictions are the unknown fractions of…

Populations and Evolution · Quantitative Biology 2022-08-31 Guilherme S. Costa , Wesley Cota , Silvio C. Ferreira

Accurate estimates of the reproduction ratio are crucial to project infectious disease epidemic evolution and guide public health response. Here, we prove that estimates of the reproduction ratio based on inference from surveillance data…

Physics and Society · Physics 2025-01-08 Piero Birello , Michele Re Fiorentin , Boxuan Wang , Vittoria Colizza , Eugenio Valdano

Data assimilation combines forecasts from a numerical model with observations. Most of the current data assimilation algorithms consider the model and observation error terms as additive Gaussian noise, specified by their covariance…

Differential equations are pivotal in modeling and understanding the dynamics of various systems, offering insights into their future states through parameter estimation fitted to time series data. In fields such as economy, politics, and…

Machine Learning · Statistics 2024-04-24 Hyeontae Jo , Sung Woong Cho , Hyung Ju Hwang

In many open environment applications, data are collected in the form of a stream, which exhibits an evolving distribution over time. How to design algorithms to track these evolving data distributions with provable guarantees, particularly…

Machine Learning · Computer Science 2024-11-06 Chao Xu , Xijia Tang , Guoqing Liu , Yuhua Qian , Chenping Hou

Autoregressive (AR) models are useful tools in time series analysis. Inferences under such models are distorted in the presence of measurement error, which is very common in practice. In this article, we establish analytical results for…

Methodology · Statistics 2022-03-11 Qihuang Zhang , Grace Y. Yi

In epidemic modeling, outliers can distort parameter estimation and ultimately lead to misguided public health decisions. Although there are existing robust methods that can mitigate this distortion, the ability to simultaneously detect…

Methodology · Statistics 2025-07-15 Haoming Shi , Shan Yu , Eric C. Chi

Data assimilation, consisting in the combination of a dynamical model with a set of noisy and incomplete observations in order to infer the state of a system over time, involves uncertainty in most settings. Building upon an existing…

Machine Learning · Computer Science 2026-03-02 Anthony Frion , David S Greenberg

Count-valued time series data are routinely collected in many application areas. We are particularly motivated to study the count time series of daily new cases, arising from COVID-19 spread. We propose two Bayesian models, a time-varying…

Methodology · Statistics 2021-03-10 Arkaprava Roy , Sayar Karmakar

An essential component of therapeutic drug/biomarker monitoring (TDM) is to combine patient data with prior knowledge for model-based predictions of therapy outcomes. Current Bayesian forecasting tools typically rely only on the most…

Quantitative Methods · Quantitative Biology 2019-09-23 Corinna Maier , Niklas Hartung , Jana de Wiljes , Charlotte Kloft , Wilhelm Huisinga

Variational data assimilation in continuous time is revisited. The central techniques applied in this paper are in part adopted from the theory of optimal nonlinear control. Alternatively, the investigated approach can be considered as a…

Atmospheric and Oceanic Physics · Physics 2015-05-18 Jochen Bröcker

The global pandemic of the 2019-nCov requires the evaluation of policy interventions to mitigate future social and economic costs of quarantine measures worldwide. We propose an epidemiological model for forecasting and policy evaluation…

Applications · Statistics 2020-10-30 Philip Nadler , Shuo Wang , Rossella Arcucci , Xian Yang , Yike Guo

This paper seeks to study the evolution of the COVID-19 pandemic based on daily published data from Worldometer website, using a time-dependent SIR model. Our findings indicate that this model fits well such data, for different chosen…

Populations and Evolution · Quantitative Biology 2023-11-28 Rawan H. Madi , Sophie M. Moufawad , Nabil R. Nassif

Standard epidemic models based on compartmental differential equations are investigated under continuous parameter change as external forcing. We show that seasonal modulation of the contact parameter superimposed a monotonic decay needs a…

Populations and Evolution · Quantitative Biology 2020-08-13 Tamás Kovács

Model errors are increasingly seen as a fundamental performance limiter in both Numerical Weather Prediction and Climate Prediction simulations run with state of the art Earth system digital twins.This has motivated recent efforts aimed at…

Applications · Statistics 2021-09-22 Massimo Bonavita

Epidemic forecasts are only as good as the accuracy of epidemic measurements. Is epidemic data, particularly COVID-19 epidemic data, clean and devoid of noise? Common sense implies the negative answer. While we cannot evaluate the…

Populations and Evolution · Quantitative Biology 2023-04-25 Long MA , Piet Van Mieghem , Maksim Kitsak

We propose a high dimensional Bayesian inference framework for learning heterogeneous dynamics of a COVID-19 model, with a specific application to the dynamics and severity of COVID-19 inside and outside long-term care (LTC) facilities. We…

Methodology · Statistics 2021-08-04 Peng Chen , Keyi Wu , Omar Ghattas