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Scientific Machine Learning (SciML) is a recently emerged research field which combines physics-based and data-driven models for the numerical approximation of differential problems. Physics-based models rely on the physical understanding…

Numerical Analysis · Mathematics 2025-04-04 Alfio Quarteroni , Paola Gervasio , Francesco Regazzoni

As an increasing amount of remote sensing data becomes available in the Arctic Ocean, data-driven machine learning (ML) techniques are becoming widely used to predict sea ice velocity (SIV) and sea ice concentration (SIC). However, fully…

Machine Learning · Computer Science 2025-10-21 Younghyun Koo , Maryam Rahnemoonfar

Metal additive manufacturing enables unprecedented design freedom and the production of customized, complex components. However, the rapid melting and solidification dynamics inherent to metal AM processes generate heterogeneous,…

Machine Learning · Computer Science 2025-05-05 D. Patel , R. Sharma , Y. B. Guo

An exponential growth in computing power, which has brought more sophisticated and higher resolution simulations of the climate system, and an exponential increase in observations since the first weather satellite was put in orbit, are…

Atmospheric and Oceanic Physics · Physics 2024-08-20 Annalisa Bracco , Julien Brajard , Henk A. Dijkstra , Pedram Hassanzadeh , Christian Lessig , Claire Monteleoni

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-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

This review examines the current state of research on microscale cellular changes during the drying of plant-based food materials (PBFM), with particular emphasis on computational modelling approaches. The review addresses the critical need…

Machine Learning · Computer Science 2025-01-17 C. P. Batuwatta-Gamage , H. Jeong , HCP Karunasena , M. A. Karim , C. M. Rathnayaka , Y. T. Gu

Physics-Informed Machine Learning (PIML) offers a powerful paradigm of integrating data with physical laws to address important scientific problems, such as parameter estimation, inferring hidden physics, equation discovery, and state…

Computational Engineering, Finance, and Science · Computer Science 2025-10-31 Letian Yi , Siyuan Yang , Ying Cui , Zhilu Lai

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

In climate science, models for global warming and weather prediction face significant challenges due to the limited availability of high-quality data and the difficulty in obtaining it, making data efficiency crucial. In the past few years,…

Machine Learning · Computer Science 2024-10-10 Sameera S Kashyap , Raj Abhijit Dandekar , Rajat Dandekar , Sreedath Panat

We are delighted to see the recent development of physics-informed extreme learning machine (PIELM) for its higher computational efficiency and accuracy compared to other physics-informed machine learning (PIML) paradigms. Since a…

Machine Learning · Computer Science 2025-11-04 He Yang , Fei Ren , Francesco Calabro , Hai-Sui Yu , Xiaohui Chen , Pei-Zhi Zhuang

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

Snow is a crucial element of the sea ice system, affecting sea ice growth and decay due to its low thermal conductivity and high albedo. Despite its importance, present-day climate models have an idealized representation of snow, often…

Atmospheric and Oceanic Physics · Physics 2024-09-13 Ayush Prasad , Ioanna Merkouriadi , Aleksi Nummelin

Physics-based models of dynamical systems are often used to study engineering and environmental systems. Despite their extensive use, these models have several well-known limitations due to simplified representations of the physical…

Machine Learning · Computer Science 2020-09-15 Xiaowei Jia , Jared Willard , Anuj Karpatne , Jordan S Read , Jacob A Zwart , Michael Steinbach , Vipin Kumar

Physics-informed machine learning (PIML) integrates mechanistic knowledge, typically in the form of partial differential equations (PDE), into data-driven models. Despite strong empirical performance, its statistical generalisation…

Machine Learning · Computer Science 2026-05-27 Thien V. Nguyen , Amaury Habrard , Benjamin Guedj

Physics-informed machine learning (PIML) is crucial in modern traffic flow modeling because it combines the benefits of both physics-based and data-driven approaches. In conventional PIML, physical information is typically incorporated by…

Machine Learning · Computer Science 2025-09-23 Yuan-Zheng Lei , Yaobang Gong , Dianwei Chen , Yao Cheng , Xianfeng Terry Yang

Global warming accelerates permafrost degradation, impacting the reliability of critical infrastructure used by more than five million people daily. Furthermore, permafrost thaw produces substantial methane emissions, further accelerating…

The inclusion of physical information in machine learning frameworks has revolutionized many application areas. This involves enhancing the learning process by incorporating physical constraints and adhering to physical laws. In this work…

Machine Learning · Computer Science 2025-06-06 Chayan Banerjee , Kien Nguyen , Clinton Fookes , Maziar Raissi

This position paper takes a broad look at Physics-Enhanced Machine Learning (PEML) -- also known as Scientific Machine Learning -- with particular focus to those PEML strategies developed to tackle dynamical systems' challenges. The need to…

Machine Learning · Computer Science 2024-12-30 Alice Cicirello

Physics-informed machine learning typically integrates physical priors into the learning process by minimizing a loss function that includes both a data-driven term and a partial differential equation (PDE) regularization. Building on the…

Machine Learning · Statistics 2025-09-23 Nathan Doumèche , Francis Bach , Gérard Biau , Claire Boyer