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There is growing interest in using machine learning (ML) methods for structural metamodeling due to the substantial computational cost of traditional simulations. Purely data-driven strategies often face limitations in model robustness,…

Applied Physics · Physics 2024-04-30 R. Bailey Bond , Pu Ren , Jerome F. Hajjar , Hao Sun

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

Machine learning has affected the way in which many phenomena for various domains are modelled, one of these domains being that of structural dynamics. However, because machine-learning algorithms are problem-specific, they often fail to…

Machine Learning · Computer Science 2024-01-08 G. Tsialiamanis , N. Dervilis , D. J. Wagg , K. Worden

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

The revolution in artificial intelligence (AI) has brought sustainable challenges in data center management due to the high carbon emissions and short cooling response time associated with high-power density racks. While machine learning…

Artificial Intelligence · Computer Science 2026-02-05 Ruihang Wang , Qingang Zhang , Yonggang Wen , Stuart Kennedy

Current hydrological modeling methods combine data-driven Machine Learning (ML) algorithms and traditional physics-based models to address their respective limitations incorrect parameter estimates from rigid physics-based models and the…

Machine Learning · Computer Science 2024-02-22 Mostafa Esmaeilzadeh , Melika Amirzadeh

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

Physics-informed machine learning (PIML) is emerging as a potentially transformative paradigm for modeling complex biomedical systems by integrating parameterized physical laws with data-driven methods. Here, we review three main classes of…

Machine Learning · Computer Science 2025-10-08 Nazanin Ahmadi , Qianying Cao , Jay D. Humphrey , George Em Karniadakis

Dynamical systems that evolve continuously over time are ubiquitous throughout science and engineering. Machine learning (ML) provides data-driven approaches to model and predict the dynamics of such systems. A core issue with this approach…

Machine Learning · Computer Science 2023-11-23 Aditi S. Krishnapriyan , Alejandro F. Queiruga , N. Benjamin Erichson , Michael W. Mahoney

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

Numerical approximations of partial differential equations (PDEs) are routinely employed to formulate the solution of physics, engineering, and mathematical problems involving functions of several variables, such as the propagation of heat…

Rapid and accurate simulations of fluid dynamics around complicated geometric bodies are critical in a variety of engineering and scientific applications, including aerodynamics and biomedical flows. However, while scientific machine…

Machine learning is rapidly making its pathway across all of the natural sciences, including physical sciences. The rate at which ML is impacting non-scientific disciplines is incomparable to that in the physical sciences. This is partly…

Machine Learning · Computer Science 2025-02-26 Nour Makke , Sanjay Chawla

Scientific machine learning (SciML) is increasingly applied to in-field processing, controlling, and monitoring; however, wide-area sensing, real-time demands, and strict energy and reliability constraints make centralized SciML…

Machine Learning · Computer Science 2026-03-11 Yuchen Yuan , Junhuan Yang , Hao Wan , Yipei Liu , Hanhan Wu , Youzuo Lin , Lei Yang

Differentiable Programming for scientific machine learning (SciML) has recently seen considerable interest and success, as it directly embeds neural networks inside PDEs, often called as NeuralPDEs, derived from first principle physics.…

Machine Learning · Computer Science 2024-11-25 Arvind Mohan , Ashesh Chattopadhyay , Jonah Miller

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

Artificial intelligence (AI) provides many opportunities to improve private and public life. Discovering patterns and structures in large troves of data in an automated manner is a core component of data science, and currently drives…

Machine Learning · Computer Science 2020-09-25 Vaishak Belle , Ioannis Papantonis

Data-driven techniques are increasingly used to replace electronic-structure calculations of matter. In this context, a relevant question is whether machine learning (ML) should be applied directly to predict the desired properties or be…

Scientific machine learning (SciML) is a field of increasing interest in several different application fields. In an optimization context, SciML-based tools have enabled the development of more efficient optimization methods. However,…

Machine learning methods have been remarkably successful in material science, providing novel scientific insights, guiding future laboratory experiments, and accelerating materials discovery. Despite the promising performance of these…

Machine Learning · Computer Science 2024-11-04 Sichao Li , Xin Wang , Amanda Barnard