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Related papers: Model fusion with physics-guided machine learning

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Complex optimal design and control processes often require repeated evaluations of expensive objective functions and consist of large design spaces. Data-driven surrogates such as neural networks and Gaussian processes provide an attractive…

Computational Engineering, Finance, and Science · Computer Science 2023-07-10 Manaswin Oddiraju , Divyang Amin , Michael Piedmonte , Souma Chowdhury

Traditional rule-based physical models are limited by their reliance on singular physical formulas and parameters, making it difficult to effectively tackle the intricate tasks associated with crowd simulation. Recent research has…

Artificial Intelligence · Computer Science 2024-10-22 Runkang Guo , Bin Chen , Qi Zhang , Yong Zhao , Xiao Wang , Zhengqiu Zhu

There is a growing consensus that solutions to complex science and engineering problems require novel methodologies that are able to integrate traditional physics-based modeling approaches with state-of-the-art machine learning (ML)…

Computational Physics · Physics 2022-03-15 Jared Willard , Xiaowei Jia , Shaoming Xu , Michael Steinbach , Vipin Kumar

Physics-informed machine learning (PIML) is an emerging framework that integrates physical knowledge into machine learning models. This physical prior often takes the form of a partial differential equation (PDE) system that the regression…

Machine Learning · Statistics 2025-07-15 Nathan Doumèche

The integration of machine learning with domain-specific physics is transforming the design, monitoring, and control of electricity systems, where data scarcity, limited interpretability, and the need to enforce physical laws constrain…

Systems and Control · Electrical Eng. & Systems 2026-05-22 Joseph Nyangon

This study presents a broad perspective of hybrid process modeling and optimization combining the scientific knowledge and data analytics in bioprocessing and chemical engineering with a science-guided machine learning (SGML) approach. We…

Machine Learning · Computer Science 2022-01-26 Niket Sharma , Y. A. Liu

Methods: This work introduces a method supporting the collaborative definition of machine learning tasks by leveraging model-based engineering in the formalization of the systems modeling language SysML. The method supports the…

Software Engineering · Computer Science 2023-07-11 Simon Raedler , Juergen Mangler , Stefanie Rinderle-Ma

Physics-constrained machine learning (PCML) combines physical models with data-driven approaches to improve reliability, generalizability, and interpretability. Although PCML has shown significant benefits in diverse scientific and…

Machine Learning · Computer Science 2025-08-29 Angan Mukherjee , Victor M. Zavala

Physics-informed machine learning (PIML) has emerged as a promising new approach for simulating complex physical and biological systems that are governed by complex multiscale processes for which some data are also available. In some…

Machine Learning · Computer Science 2022-05-18 Khemraj Shukla , Mengjia Xu , Nathaniel Trask , George Em Karniadakis

Machine learning (ML) is redefining what is possible in data-intensive fields of science and engineering. However, applying ML to problems in the physical sciences comes with a unique set of challenges: scientists want physically…

Computational Physics · Physics 2020-07-06 Kathleen Champion , Peng Zheng , Aleksandr Y. Aravkin , Steven L. Brunton , J. Nathan Kutz

Accurate lifetime prediction of structures subjected to cyclic loading is vital, especially in scenarios involving non-uniform loading histories where load sequencing critically influences structural durability. Addressing this complexity…

Numerical Analysis · Mathematics 2025-03-10 Abedulgader Baktheer , Fadi Aldakheel

Diffusion models have shown promise in forecasting future data from multivariate time series. However, few existing methods account for recurring structures, or patterns, that appear within the data. We present Pattern-Guided Diffusion…

Machine Learning · Computer Science 2025-12-17 Vivian Lin , Kuk Jin Jang , Wenwen Si , Insup Lee

The integration of machine learning (ML) with traditional physics-based models is reshaping the landscape of weather and climate prediction. On their own, ML-based and physics-based approaches each have significant benefits - but also…

Machine learning is poised as a very powerful tool that can drastically improve our ability to carry out scientific research. However, many issues need to be addressed before this becomes a reality. This article focuses on one particular…

Computational Physics · Physics 2020-06-05 Weinan E , Jiequn Han , Linfeng Zhang

Physics-informed machine learning (PIML) represents an emerging paradigm that integrates various forms of physical knowledge into machine learning (ML) components, thereby enhancing the physical consistency of ML models compared to purely…

Chemical Physics · Physics 2025-10-28 Jiahao Wu , Xutun Wang , Guihua Zhang , Jiayue Liu , Xin Li , Yang Zhang , Hai Zhang , Junfu Lyu , Bing Wang , Yuxin Wu

Process-Based Modeling (PBM) and Machine Learning (ML) are often perceived as distinct paradigms in the geosciences. Here we present differentiable geoscientific modeling as a powerful pathway toward dissolving the perceived barrier between…

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 introduces a framework for combining scientific knowledge of physics-based models with neural networks to advance scientific discovery. This framework, termed physics-guided neural networks (PGNN), leverages the output of…

Machine Learning · Computer Science 2021-09-29 Arka Daw , Anuj Karpatne , William Watkins , Jordan Read , Vipin Kumar

Recent developments in 3D vision have enabled significant progress in inferring neural fluid fields and realistic rendering of fluid dynamics. However, these methods require dense captures of real-world flows, which demand specialized…

Machine Learning · Computer Science 2026-02-23 Yuqiu Liu , Jingxuan Xu , Mauricio Soroco , Yunchao Wei , Wuyang Chen

Accurate representations of unknown and sub-grid physical processes through parameterizations (or closure) in numerical simulations with quantified uncertainty are critical for resolving the coarse-grained partial differential equations…

Machine Learning · Computer Science 2024-05-08 Yongquan Qu , Mohamed Aziz Bhouri , Pierre Gentine