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Integrating physical inductive biases into machine learning can improve model generalizability. We generalize the successful paradigm of physics-informed learning (PIL) into a more general framework that also includes what we term…

Machine Learning · Computer Science 2021-09-29 Ziming Liu , Yunyue Chen , Yuanqi Du , Max Tegmark

Machine learning has had an enormous impact in many scientific disciplines. Also in the field of low-temperature plasma modeling and simulation it has attracted significant interest within the past years. Whereas its application should be…

Plasma Physics · Physics 2023-12-18 Jan Trieschmann , Luca Vialetto , Tobias Gergs

Physics-informed deep learning has drawn tremendous interest in recent years to solve computational physics problems, whose basic concept is to embed physical laws to constrain/inform neural networks, with the need of less data for training…

Fluid Dynamics · Physics 2020-11-24 Chengping Rao , Hao Sun , Yang Liu

Arctic sea ice plays an important role in the global climate. Sea ice models governed by physical equations have been used to simulate the state of the ice including characteristics such as ice thickness, concentration, and motion. More…

The unprecedented amount of data generated from experiments, field observations, and large-scale numerical simulations at a wide range of spatio-temporal scales have enabled the rapid advancement of data-driven and especially deep learning…

Computational Physics · Physics 2024-06-19 Suraj Pawar , Omer San , Aditya Nair , Adil Rasheed , Trond Kvamsdal

Prognostics and Health Management ensures the reliability, safety, and efficiency of complex engineered systems by enabling fault detection, anticipating equipment failures, and optimizing maintenance activities throughout an asset…

The more than 200,000 glaciers outside the ice sheets play a crucial role in our society by influencing sea-level rise, water resource management, natural hazards, biodiversity, and tourism. However, only a fraction of these glaciers…

Computer Vision and Pattern Recognition · Computer Science 2025-02-03 Codruţ-Andrei Diaconu , Konrad Heidler , Jonathan L. Bamber , Harry Zekollari

Traditional numerical methods often struggle with the complexity and scale of modeling pollutant transport across vast and dynamic oceanic domains. This paper introduces a Physics-Informed Neural Network (PINN) framework to simulate the…

Machine Learning · Computer Science 2025-07-15 Karishma Battina , Prathamesh Dinesh Joshi , Raj Abhijit Dandekar , Rajat Dandekar , Sreedath Panat

Scientific Machine Learning (SciML) integrates physics and data into the learning process, offering improved generalization compared with purely data-driven models. Despite its potential, applications of SciML in prognostics remain limited,…

Machine Learning · Computer Science 2025-11-04 Ibai Ramirez , Jokin Alcibar , Joel Pino , Mikel Sanz , David Pardo , Jose I. Aizpurua

Accurate modeling of ship performance is crucial for the shipping industry to optimize fuel consumption and subsequently reduce emissions. However, predicting the speed-power relation in real-world conditions remains a challenge. In this…

Machine Learning · Computer Science 2022-12-27 Simon DeKeyser , Casimir Morobé , Malte Mittendorf

While machine learning (ML) has found multiple applications in photonics, traditional "black box" ML models typically require prohibitively large training data sets. Generation of such data, as well as the training processes themselves,…

Dynamical systems are typically governed by a set of linear/nonlinear differential equations. Distilling the analytical form of these equations from very limited data remains intractable in many disciplines such as physics, biology, climate…

Machine Learning · Computer Science 2021-05-18 Fangzheng Sun , Yang Liu , Hao Sun

Physics-informed machine learning has been a promising data-driven and physics-informed approach in geotechnical engineering. This study proposes a physics-informed extreme learning machine (PIELM) framework for analyzing tunneling-induced…

Machine Learning · Computer Science 2025-10-02 Fu-Chen Guo , Pei-Zhi Zhuang , Fei Ren , Hong-Ya Yue , He Yang

This tutorial paper focuses on safe physics-informed machine learning in the context of dynamics and control, providing a comprehensive overview of how to integrate physical models and safety guarantees. As machine learning techniques…

Systems and Control · Electrical Eng. & Systems 2025-06-16 Jan Drgona , Truong X. Nghiem , Thomas Beckers , Mahyar Fazlyab , Enrique Mallada , Colin Jones , Draguna Vrabie , Steven L. Brunton , Rolf Findeisen

In this article we develop a Physics Informed Neural Network (PINN) approach to simulate ice sheet dynamics governed by the Shallow Ice Approximation. This problem takes the form of a time-dependent parabolic obstacle problem. Prior work…

Machine Learning · Computer Science 2025-07-04 Kapil Chawla , William Holmes

Sea ice motions play an important role in the polar climate system by transporting pollutants, heat, water and salt as well as changing the ice cover. Numerous physics-based models have been constructed to represent the sea ice dynamical…

Atmospheric and Oceanic Physics · Physics 2021-08-26 Jun Zhai , Cecilia M. Bitz

With the rise of electronic data, particularly Earth observation data, data-based geospatial modelling using machine learning (ML) has gained popularity in environmental research. Accurate geospatial predictions are vital for domain…

Machine Learning · Computer Science 2023-11-21 Diana Koldasbayeva , Polina Tregubova , Mikhail Gasanov , Alexey Zaytsev , Anna Petrovskaia , Evgeny Burnaev

In this paper, physics-informed neural network models are developed to predict the concentrate gold grade in froth flotation cells. Accurate prediction of concentrate grades is important for the automatic control and optimization of mineral…

Computational Engineering, Finance, and Science · Computer Science 2025-06-04 Mahdi Nasiri , Sahel Iqbal , Simo Särkkä

Ice storms are one of the most devastating natural hazards which have the potential to inflict significant damage to the built environment. The multi-hazard nature of ice events complicates the analysis of their induced risk due to their…

Atmospheric and Oceanic Physics · Physics 2024-03-27 Reda Snaiki

Modeling of fluid flows requires corresponding adequate and effective approaches that would account for multiscale nature of the considered physics. Despite the tremendous growth of computational power in the past decades, modeling of fluid…

Fluid Dynamics · Physics 2025-06-24 Arsen S. Iskhakov , Nam T. Dinh