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A model-based approach to forecasting chaotic dynamical systems utilizes knowledge of the physical processes governing the dynamics to build an approximate mathematical model of the system. In contrast, machine learning techniques have…

Machine Learning · Computer Science 2018-05-09 Jaideep Pathak , Alexander Wikner , Rebeckah Fussell , Sarthak Chandra , Brian Hunt , Michelle Girvan , Edward Ott

Engineering simulators used for steady-state multiphase pipe flows are commonly utilized to predict pressure drop. Such simulators are typically based on either empirical correlations or first-principles mechanistic models. The simulators…

Data Analysis, Statistics and Probability · Physics 2019-06-04 Evgenii Kanin , Andrei Osiptsov , Albert Vainshtein , Evgeny Burnaev

Models play an essential role in the design process of cyber-physical systems. They form the basis for simulation and analysis and help in identifying design problems as early as possible. However, the construction of models that comprise…

In numerical modeling of the Earth System, many processes remain unknown or ill represented (let us quote sub-grid processes, the dependence to unknown latent variables or the non-inclusion of complex dynamics in numerical models) but…

Data Analysis, Statistics and Probability · Physics 2019-03-19 Julien Brajard , Anastase Charantonis , Jérôme Sirven

To understand and predict the performance of scientific applications, several analytical and machine learning approaches have been proposed, each having its advantages and disadvantages. In this paper, we propose and validate a hybrid…

Performance · Computer Science 2019-02-27 Huda Ibeid , Siping Meng , Oliver Dobon , Luke Olson , William Gropp

Critical heat flux is a key quantity in boiling system modeling due to its impact on heat transfer and component temperature and performance. This study investigates the development and validation of an uncertainty-aware hybrid modeling…

Machine Learning · Computer Science 2025-07-17 Aidan Furlong , Xingang Zhao , Robert Salko , Xu Wu

Accurate prediction of atmospheric optical turbulence in localized environments is essential for estimating the performance of free-space optical systems. Macro-meteorological models developed to predict turbulent effects in one environment…

Atmospheric and Oceanic Physics · Physics 2023-10-30 Christopher Jellen , Charles Nelson , John Burkhardt , Cody Brownell

In applications of dynamical systems, situations can arise where it is desired to predict the onset of synchronization as it can lead to characteristic and significant changes in the system performance and behaviors, for better or worse. In…

Adaptation and Self-Organizing Systems · Physics 2021-06-30 Huawei Fan , Ling-Wei Kong , Ying-Cheng Lai , Xingang Wang

Machine learning models are routinely integrated into process mining pipelines to carry out tasks like data transformation, noise reduction, anomaly detection, classification, and prediction. Often, the design of such models is based on…

Machine Learning · Computer Science 2024-02-21 Paolo Ceravolo , Sylvio Barbon Junior , Ernesto Damiani , Wil van der Aalst

Hybrid approaches that combine data-driven learning with physics-based insight have shown promise for improving the reliability of industrial condition monitoring. This work develops a hybrid condition monitoring framework that integrates…

Machine Learning · Computer Science 2026-04-14 Maryam Ahang , Todd Charter , Masoud Jalayer , Homayoun Najjaran

This paper provides a short overview of how to use machine learning to build data-driven models in fluid mechanics. The process of machine learning is broken down into five stages: (1) formulating a problem to model, (2) collecting and…

Fluid Dynamics · Physics 2021-10-06 Steven L. Brunton

Reduced-order modelling and system identification can help us figure out the elementary degrees of freedom and the underlying mechanisms from the high-dimensional and nonlinear dynamics of fluid flow. Machine learning has brought new…

Fluid Dynamics · Physics 2021-04-13 Nan Deng , Luc R. Pastur , Bernd R. Noack

In order to achieve state-of-the-art performance, modern machine learning techniques require careful data pre-processing and hyperparameter tuning. Moreover, given the ever increasing number of machine learning models being developed, model…

Machine Learning · Statistics 2018-05-03 Nicolo Fusi , Rishit Sheth , Huseyn Melih Elibol

Accurate models are essential for design, performance prediction, control, and diagnostics in complex engineering systems. Physics-based models excel during the design phase but often become outdated during system deployment due to changing…

Machine Learning · Computer Science 2025-01-22 Zihan Liu , Prashant N. Kambali , C. Nataraj

This paper develops an approach for multi-step forecasting of dynamical systems by integrating probabilistic input forecasting with physics-informed output prediction. Accurate multi-step forecasting of time series systems is important for…

Machine Learning · Statistics 2026-01-13 Mahdi Nasiri , Johanna Kortelainen , Simo Särkkä

This paper surveys the primary computational hurdles of Energy Systems optimization coming from different sources: model-induced complexity, optimization algorithm requirements, and uncertainties handling (both aleatoric and epistemic).…

Machine learning has been increasingly applied in climate modeling on system emulation acceleration, data-driven parameter inference, forecasting, and knowledge discovery, addressing challenges such as physical consistency, multi-scale…

The high-pressure transportation process of pipeline necessitates an accurate hydraulic transient simulation tool to prevent slack line flow and over-pressure, which can endanger pipeline operations. However, current numerical solution…

Computational Engineering, Finance, and Science · Computer Science 2024-09-18 Jian Du , Haochong Li , Qi Liao , Jun Shen , Jianqin Zheng , Yongtu Liang

The literature is rich with studies, analyses, and examples on parameter estimation for describing the evolution of chaotic dynamical systems based on measurements, even when only partial information is available through observations.…

Chaotic Dynamics · Physics 2025-08-07 Michele Baia , Tommaso Matteuzzi , Franco Bagnoli

Nonlinear model predictive control (NMPC) is an efficient approach for the control of nonlinear multivariable dynamic systems with constraints, which however requires an accurate plant model. Plant models can often be determined from first…

Systems and Control · Electrical Eng. & Systems 2021-08-17 E. Bradford , L. Imsland , M. Reble , E. A. del Rio-Chanona
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