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Data assimilation is a central problem in many geophysical applications, such as weather forecasting. It aims to estimate the state of a potentially large system, such as the atmosphere, from sparse observations, supplemented by prior…

Machine Learning · Computer Science 2024-06-24 Matthieu Blanke , Ronan Fablet , Marc Lelarge

We introduce a minimalist outbreak forecasting model that combines data-driven parameter estimation with variational data assimilation. By focusing on the fundamental components of nonlinear disease transmission and representing data in a…

Populations and Evolution · Quantitative Biology 2021-10-12 Hannah R. Biegel , Joceline Lega

Epidemiological models are best suitable to model an epidemic if the spread pattern is stationary. To deal with non-stationary patterns and multiple waves of an epidemic, we develop a hybrid model encompassing epidemic modeling, particle…

Machine Learning · Computer Science 2024-02-01 Naresh Kumar , Seba Susan

When an epidemic spreads into a population, it is often unpractical or impossible to have a continuous monitoring of all subjects involved. As an alternative, algorithmic solutions can be used to infer the state of the whole population from…

Populations and Evolution · Quantitative Biology 2021-05-12 Abhishek Tomy , Matteo Razzanelli , Francesco Di Lauro , Daniela Rus , Cosimo Della Santina

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

Forecasting temporal processes such as virus spreading in epidemics often requires more than just observed time-series data, especially at the beginning of a wave when data is limited. Traditional methods employ mechanistic models like the…

Artificial Intelligence · Computer Science 2024-11-12 Thang Nguyen , Dung Nguyen , Kha Pham , Truyen Tran

This study presents a neural network-enhanced approach to modeling disease spread dynamics over time and space. Neural networks are used to estimate time-varying parameters, with two calibration methods explored: Approximate Bayesian…

Quantitative Methods · Quantitative Biology 2024-10-29 Randy L. Caga-anan

Among various spatio-temporal prediction tasks, epidemic forecasting plays a critical role in public health management. Recent studies have demonstrated the strong potential of spatio-temporal graph neural networks (STGNNs) in extracting…

Machine Learning · Computer Science 2025-12-30 Yufan Zheng , Wei Jiang , Tong Chen , Alexander Zhou , Nguyen Quoc Viet Hung , Choujun Zhan , Hongzhi Yin

We introduce a neural network conformal prediction method for time series that enhances adaptivity in non-stationary environments. Our approach acts as a neural controller designed to achieve desired target coverage, leveraging auxiliary…

Machine Learning · Computer Science 2024-12-25 Ruipu Li , Alexander Rodríguez

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

Epidemic forecasting is the key to effective control of epidemic transmission and helps the world mitigate the crisis that threatens public health. To better understand the transmission and evolution of epidemics, we propose EpiGNN, a graph…

Quantitative Methods · Quantitative Biology 2022-08-25 Feng Xie , Zhong Zhang , Liang Li , Bin Zhou , Yusong Tan

In this work, we examine a novel forecasting approach for COVID-19 case prediction that uses Graph Neural Networks and mobility data. In contrast to existing time series forecasting models, the proposed approach learns from a single…

Machine Learning · Computer Science 2020-07-08 Amol Kapoor , Xue Ben , Luyang Liu , Bryan Perozzi , Matt Barnes , Martin Blais , Shawn O'Banion

In this work, we aim to formalize a novel scientific machine learning framework to reconstruct the hidden dynamics of the transmission rate, whose inaccurate extrapolation can significantly impair the quality of the epidemic forecasts, by…

Quantitative Methods · Quantitative Biology 2024-10-16 Giovanni Ziarelli , Stefano Pagani , Nicola Parolini , Francesco Regazzoni , Marco Verani

Modeling and simulations of pandemic dynamics play an essential role in understanding and addressing the spreading of highly infectious diseases such as COVID-19. In this work, we propose a novel deep learning architecture named…

Machine Learning · Computer Science 2023-05-16 Viet Bach Nguyen , Truong Son Hy , Long Tran-Thanh , Nhung Nghiem

Modelling epidemic events such as COVID-19 cases in both time and space dimensions is an important but challenging task. Building on in-depth review and assessment of two popular graph neural network (GNN)-based regional epidemic…

Computation · Statistics 2025-11-20 Xiangxin Kong , Hang Wang , Yutong Li , Yanghao Chen , Zudi Lu

The evolution of epidemiological parameters, such as instantaneous reproduction number Rt, is important for understanding the transmission dynamics of infectious diseases. Current estimates of time-varying epidemiological parameters often…

Applications · Statistics 2021-10-26 Xian Yang , Shuo Wang , Yuting Xing , Ling Li , Richard Yi Da Xu , Karl J. Friston , Yike Guo

Epidemics are often modelled using non-linear dynamical systems observed through partial and noisy data. In this paper, we consider stochastic extensions in order to capture unknown influences (changing behaviors, public interventions,…

Applications · Statistics 2012-11-06 Joseph Dureau , Konstantinos Kalogeropoulos , Marc Baguelin

Epidemiological compartmental models are useful for understanding infectious disease propagation and directing public health policy decisions. Calibration of these models is an important step in offering accurate forecasts of disease…

Machine Learning · Computer Science 2023-12-12 Nikunj Gupta , Anh Mai , Azza Abouzied , Dennis Shasha

For hourly PM2.5 concentration prediction, accurately capturing the data patterns of external factors that affect PM2.5 concentration changes, and constructing a forecasting model is one of efficient means to improve forecasting accuracy.…

Signal Processing · Electrical Eng. & Systems 2020-12-08 Fuxin Jiang , Chengyuan Zhang , Shaolong Sun , Jingyun Sun

Data assimilation is often viewed as a framework for correcting short-term error growth in dynamical climate model forecasts. When viewed on the time scales of climate however, these short-term corrections, or analysis increments, can…

Atmospheric and Oceanic Physics · Physics 2023-10-02 William Gregory , Mitchell Bushuk , Alistair Adcroft , Yongfei Zhang , Laure Zanna