English
Related papers

Related papers: Bridging Physics-based and Data-driven modeling fo…

200 papers

Accurate estimation of long-term risk is essential for the design and analysis of stochastic dynamical systems. Existing risk quantification methods typically rely on extensive datasets involving risk events observed over extended time…

Machine Learning · Computer Science 2025-10-09 Zhuoyuan Wang , Albert Chern , Yorie Nakahira

This work aims to address the problem of long-term dynamic forecasting in complex environments where data are noisy and irregularly sampled. While recent studies have introduced some methods to improve prediction performance, these…

Machine Learning · Computer Science 2026-01-29 Yuchen Wang , Hongjue Zhao , Haohong Lin , Enze Xu , Lifang He , Huajie Shao

COVID-19 pandemic has an unprecedented impact all over the world since early 2020. During this public health crisis, reliable forecasting of the disease becomes critical for resource allocation and administrative planning. The results from…

Machine Learning · Computer Science 2021-04-07 Xiaoyong Jin , Yu-Xiang Wang , Xifeng Yan

Epidemiological models with constant parameters may not capture satisfactory infection patterns in the presence of pharmaceutical and non-pharmaceutical mitigation measures during a pandemic, since infectiousness is a function of time. In…

Populations and Evolution · Quantitative Biology 2022-05-16 K. D. Olumoyin , A. Q. M. Khaliq , K. M. Furati

A fundamental challenge in physics-informed machine learning (PIML) is the design of robust PIML methods for out-of-distribution (OOD) forecasting tasks. These OOD tasks require learning-to-learn from observations of the same (ODE)…

Machine Learning · Computer Science 2023-03-07 S Chandra Mouli , Muhammad Ashraful Alam , Bruno Ribeiro

Common compartmental modeling for COVID-19 is based on a priori knowledge and numerous assumptions. Additionally, they do not systematically incorporate asymptomatic cases. Our study aimed at providing a framework for data-driven…

Since the outbreak of COVID-19, an astronomical number of publications on the pandemic dynamics appeared in the literature, of which many use the susceptible infected removed (SIR) and susceptible exposed infected removed (SEIR) models, or…

Machine Learning · Computer Science 2021-11-03 Hua-Liang Wei , S. A. Billings

The development of data-informed predictive models for dynamical systems is of widespread interest in many disciplines. We present a unifying framework for blending mechanistic and machine-learning approaches to identify dynamical systems…

Dynamical Systems · Mathematics 2022-08-18 Matthew E. Levine , Andrew M. Stuart

We introduce Neural Dynamical Systems (NDS), a method of learning dynamical models in various gray-box settings which incorporates prior knowledge in the form of systems of ordinary differential equations. NDS uses neural networks to…

Many existing approaches for generating predictions in settings with distribution shift model distribution shifts as adversarial or low-rank in suitable representations. In various real-world settings, however, we might expect shifts to…

Machine Learning · Statistics 2023-10-31 Kirk Bansak , Elisabeth Paulson , Dominik Rothenhäusler

Numerous COVID-19 clinical decision support systems have been developed. However many of these systems do not have the merit for validity due to methodological shortcomings including algorithmic bias. Methods Logistic regression models were…

Machine Learning · Computer Science 2021-11-02 Yifan Li , Garrett Yoon , Mustafa Nasir-Moin , David Rosenberg , Sean Neifert , Douglas Kondziolka , Eric Karl Oermann

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

Estimating intervention effects in dynamical systems is crucial for outcome optimization. In medicine, such interventions arise in physiological regulation (e.g., cardiovascular system under fluid administration) and pharmacokinetics, among…

Machine Learning · Computer Science 2026-02-13 Tomer Meir , Ori Linial , Danny Eytan , Uri Shalit

The recent pandemic has underscored the importance of accurately diagnosing COVID-19 in hospital settings. A major challenge in this regard is differentiating COVID-19 from other respiratory illnesses based on chest X-rays, compounded by…

Image and Video Processing · Electrical Eng. & Systems 2024-01-24 Rittika Adhikari , Christopher Settles

In this paper, we propose a new real-time differential virus transmission model, which can give more accurate and robust short-term predictions of COVID-19 transmitted infectious disease with benefits of near-term trend projection.…

Populations and Evolution · Quantitative Biology 2020-05-05 Sheldon X. D. Tan , Liang Chen

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

The COVID-19 pandemic has magnified an already existing trend of people looking for healthcare solutions online. One class of solutions are symptom checkers, which have become very popular in the context of COVID-19. Traditional symptom…

Artificial Intelligence · Computer Science 2020-12-02 Anitha Kannan , Richard Chen , Vignesh Venkataraman , Geoffrey J. Tso , Xavier Amatriain

Learning processes by exploiting restricted domain knowledge is an important task across a plethora of scientific areas, with more and more hybrid training methods additively combining data-driven and model-based approaches. Although the…

Machine Learning · Computer Science 2025-01-17 Yann Claes , Vân Anh Huynh-Thu , Pierre Geurts

The problem of prediction of behavior of dynamical systems has undergone a paradigm shift in the second half of the 20th century with the discovery of the possibility of chaotic dynamics in simple, physical, dynamical systems for which the…

Physics-based and data-driven models for remaining useful lifetime (RUL) prediction typically suffer from two major challenges that limit their applicability to complex real-world domains: (1) incompleteness of physics-based models and (2)…

Systems and Control · Electrical Eng. & Systems 2020-10-28 Manuel Arias Chao , Chetan Kulkarni , Kai Goebel , Olga Fink