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Infectious diseases pose significant human and economic burdens. Accurately forecasting disease incidence can enable public health agencies to respond effectively to existing or emerging diseases. Despite progress in the field, developing…

Machine Learning · Computer Science 2024-09-04 Michael Morris

Accurate forecasting of contagious diseases is critical for public health policymaking and pandemic preparedness. We propose a new infectious disease forecasting model based on physics-informed neural networks (PINNs), an emerging…

Machine Learning · Computer Science 2025-04-30 Ying Qian , Kui Zhang , Éric Marty , Avranil Basu , Eamon B. O'Dea , Xianqiao Wang , Spencer Fox , Pejman Rohani , John M. Drake , He Li

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

A physics-informed neural network (PINN) embedded with the susceptible-infected-removed (SIR) model is devised to understand the temporal evolution dynamics of infectious diseases. Firstly, the effectiveness of this approach is demonstrated…

Quantitative Methods · Quantitative Biology 2025-04-08 Shuai Han , Lukas Stelz , Horst Stoecker , Lingxiao Wang , Kai Zhou

Compartmental models provide simple and efficient tools to analyze the relevant transmission processes during an outbreak, to produce short-term forecasts or transmission scenarios, and to assess the impact of vaccination campaigns.…

Numerical Analysis · Mathematics 2025-02-19 Caterina Millevoi , Damiano Pasetto , Massimiliano Ferronato

This work introduces a physics-informed neural networks (PINNs)-based model predictive control (MPC) framework for susceptible-infected-recovered ($SIR$) spreading models. Existing studies in MPC design for epidemic control often assume…

Machine Learning · Computer Science 2025-09-17 Aiping Zhong , Baike She , Philip E. Paré

We introduce EINNs, a framework crafted for epidemic forecasting that builds upon the theoretical grounds provided by mechanistic models as well as the data-driven expressibility afforded by AI models, and their capabilities to ingest…

Machine Learning · Computer Science 2023-01-12 Alexander Rodríguez , Jiaming Cui , Naren Ramakrishnan , Bijaya Adhikari , B. Aditya Prakash

Seasonal influenza epidemics cause consistent, considerable, widespread loss annually in terms of economic burden, morbidity, and mortality. With access to accurate and reliable forecasts of a current or upcoming influenza epidemic's…

Populations and Evolution · Quantitative Biology 2016-02-17 Logan C. Brooks , David C. Farrow , Sangwon Hyun , Ryan J. Tibshirani , Roni Rosenfeld

Reaction-diffusion epidemic models with vital dynamics are an important framework for describing the spatial and temporal spread of infectious diseases. In this work, we present a constraint-aware, physics-informed neural network (PINN)…

Dynamical Systems · Mathematics 2026-05-20 Achraf Zinihi , Matthias Ehrhardt

Influenza is an infectious disease with the potential to become a pandemic, and hence, forecasting its prevalence is an important undertaking for planning an effective response. Research has found that web search activity can be used to…

Machine Learning · Computer Science 2021-05-27 Michael Morris , Peter Hayes , Ingemar J. Cox , Vasileios Lampos

We develop a multiple compartment Susceptible-Infected-Recovered (SIR) model to analyze the spread of several infectious diseases through different geographic areas. Additionally, we propose a data-quality sensitive optimization framework…

Populations and Evolution · Quantitative Biology 2019-06-21 Inbar Seroussi , Nir Levy , Daniela Paolotti , Nir Sochen , Elad Yom-Tov

The Susceptible-Infectious-Recovered (SIR) equations and their extensions comprise a commonly utilized set of models for understanding and predicting the course of an epidemic. In practice, it is of substantial interest to estimate the…

Applications · Statistics 2025-05-07 Omar Melikechi , Alexander L. Young , Tao Tang , Trevor Bowman , David Dunson , James Johndrow

The COVID-19 pandemic has highlighted the need for quantitative modeling and analysis to understand real-world disease dynamics. In particular, post hoc analyses using compartmental models offer valuable insights into the effectiveness of…

Machine Learning · Computer Science 2025-10-09 Phillip Rothenbeck , Sai Karthikeya Vemuri , Niklas Penzel , Joachim Denzler

The estimation from available data of parameters governing epidemics is a major challenge. In addition to usual issues (data often incomplete and noisy), epidemics of the same nature may be observed in several places or over different…

Methodology · Statistics 2021-09-20 Romain Narci , Maud Delattre , Catherine Larédo , Elisabeta Vergu

In this work, we present an approach called Disease Informed Neural Networks (DINNs) that can be employed to effectively predict the spread of infectious diseases. This approach builds on a successful physics informed neural network…

Machine Learning · Computer Science 2022-08-26 Sagi Shaier , Maziar Raissi , Padmanabhan Seshaiyer

The seasonality of respiratory diseases (common cold, influenza, etc.) is a well-known phenomenon studied from ancient times. The development of predictive models is still not only an actual unsolved problem of mathematical epidemiology but…

Populations and Evolution · Quantitative Biology 2014-04-28 Eugene B. Postnikov , Dmitry V. Tatarenkov

Forecasting infectious disease incidence can provide important information to guide public health planning, yet is difficult because epidemic dynamics are complex. Current mechanistic and statistical approaches often struggle to capture…

Machine Learning · Computer Science 2026-04-29 Joseph Lemaitre , Justin Lessler

As the COVID-19 pandemic evolves, reliable prediction plays an important role for policy making. The classical infectious disease model SEIR (susceptible-exposed-infectious-recovered) is a compact yet simplistic temporal model. The…

Machine Learning · Computer Science 2020-10-20 Yunling Zheng , Zhijian Li , Jack Xin , Guofa Zhou

We present a machine learning-based methodology capable of providing real-time ("nowcast") and forecast estimates of influenza activity in the US by leveraging data from multiple data sources including: Google searches, Twitter microblogs,…

Applications · Statistics 2016-02-17 Mauricio Santillana , Andre T. Nguyen , Mark Dredze , Michael J. Paul , John S. Brownstein

Infectious disease modeling and forecasting have played a key role in helping assess and respond to epidemics and pandemics. Recent work has leveraged data on disease peak infection and peak hospital incidence to fit compartmental models…

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