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Physics-informed neural networks (PINNs) constitute a flexible approach to both finding solutions and identifying parameters of partial differential equations. Most works on the topic assume noiseless data, or data contaminated with weak…

Machine Learning · Statistics 2024-06-21 Philipp Pilar , Niklas Wahlström

In recent years, machine learning has demonstrated impressive capability in handling molecular science tasks. To support various molecular properties at scale, machine learning models are trained in the multi-task learning paradigm.…

Machine Learning · Computer Science 2024-10-15 Yuxuan Ren , Dihan Zheng , Chang Liu , Peiran Jin , Yu Shi , Lin Huang , Jiyan He , Shengjie Luo , Tao Qin , Tie-Yan Liu

Feature learning in neural networks is crucial for their expressive power and inductive biases, motivating various theoretical approaches. Some approaches describe network behavior after training through a change in kernel scale from…

Disordered Systems and Neural Networks · Physics 2025-05-29 Noa Rubin , Kirsten Fischer , Javed Lindner , David Dahmen , Inbar Seroussi , Zohar Ringel , Michael Krämer , Moritz Helias

Musculoskeletal models have been widely used for detailed biomechanical analysis to characterise various functional impairments given their ability to estimate movement variables (i.e., muscle forces and joint moment) which cannot be…

Signal Processing · Electrical Eng. & Systems 2022-07-05 Jie Zhang , Yihui Zhao , Fergus Shone , Zhenhong Li , Alejandro F. Frangi , Shengquan Xie , Zhiqiang Zhang

This paper proposes a physics-informed learning framework for a class of recurrent neural networks tailored to large-scale and networked systems. The approach aims to learn control-oriented models that preserve the structural and stability…

Systems and Control · Electrical Eng. & Systems 2026-03-27 Daniele Ravasio , Claudia Sbardi , Marcello Farina , Andrea Ballarino

Accurate and interpretable bearing fault classification is critical for ensuring the reliability of rotating machinery, particularly under variable operating conditions where domain shifts can significantly degrade model performance. This…

Machine Learning · Computer Science 2025-08-12 Tasfiq E. Alam , Md Manjurul Ahsan , Shivakumar Raman

Electrochemical devices (batteries, fuel cells, and electrolyzers) are in full development, driven by the green energy transition. Their real-time control requires ms predictions in order to take critical decisions during fast transients or…

Applied Physics · Physics 2026-01-27 Remus Teodorescu , Yusheng Zheng , Yi Zhuang , Dominic Karnehm , Javid Beyrami

Complex numerical weather prediction models incorporate a variety of physical processes, each described by multiple alternative physical schemes with specific parameters. The selection of the physical schemes and the choice of the…

Numerical Analysis · Computer Science 2018-02-23 Azam Moosavi , Vishwas Rao , Adrian Sandu

The accurate modelling of structural dynamics is crucial across numerous engineering applications, such as Structural Health Monitoring (SHM), seismic analysis, and vibration control. Often, these models originate from physics-based…

Computational Physics · Physics 2024-10-31 Marcus Haywood-Alexander , Giacomo Arcieri , Antonios Kamariotis , Eleni Chatzi

Physics-informed neural networks (PINNs) integrate fundamental physical principles with advanced data-driven techniques, driving significant advancements in scientific computing. However, PINNs face persistent challenges with stiffness in…

Machine Learning · Computer Science 2024-07-30 Pancheng Niu , Yongming Chen , Jun Guo , Yuqian Zhou , Minfu Feng , Yanchao Shi

We apply reinforcement learning (RL) to robotics tasks. One of the drawbacks of traditional RL algorithms has been their poor sample efficiency. One approach to improve the sample efficiency is model-based RL. In our model-based RL…

Machine Learning · Computer Science 2023-05-16 Adithya Ramesh , Balaraman Ravindran

Constructing first-principles models is usually a challenging and time-consuming task due to the complexity of the real-life processes. On the other hand, data-driven modeling, and in particular neural network models often suffer from…

Optimization and Control · Mathematics 2023-02-03 Ece S. Koksal , Erdal Aydin

We present the concepts of physics-based learning models (PBLM) and their relevance and application to the field of ship hydrodynamics. The utility of physics-based learning is motivated by contrasting generic learning models for regression…

Fluid Dynamics · Physics 2014-01-17 Gabriel D. Weymouth , Dick K. P. Yue

Understanding real-world dynamical phenomena remains a challenging task. Across various scientific disciplines, machine learning has advanced as the go-to technology to analyze nonlinear dynamical systems, identify patterns in big data, and…

Machine Learning · Computer Science 2022-12-07 Kevin Linka , Amelie Schafer , Xuhui Meng , Zongren Zou , George Em Karniadakis , Ellen Kuhl

Air quality prediction and modelling plays a pivotal role in public health and environment management, for individuals and authorities to make informed decisions. Although traditional data-driven models have shown promise in this domain,…

Machine Learning · Computer Science 2024-02-08 Kethmi Hirushini Hettige , Jiahao Ji , Shili Xiang , Cheng Long , Gao Cong , Jingyuan Wang

Physics-informed machine learning (PIML) integrates partial differential equations (PDEs) into machine learning models to solve inverse problems, such as estimating coefficient functions (e.g., the Hamiltonian function) that characterize…

Computational Physics · Physics 2025-11-07 Yoh-ichi Mototake , Makoto Sasaki

Considerable research has been devoted to deep learning-based predictive models for system prognostics and health management in the reliability and safety community. However, there is limited study on the utilization of deep learning for…

Machine Learning · Statistics 2021-09-07 Taotao Zhou , Enrique Lopez Droguett , Ali Mosleh

Physically-inspired latent force models offer an interpretable alternative to purely data driven tools for inference in dynamical systems. They carry the structure of differential equations and the flexibility of Gaussian processes,…

Machine Learning · Computer Science 2022-01-25 Jacob D. Moss , Felix L. Opolka , Bianca Dumitrascu , Pietro Lió

Differential equations are important mechanistic models that are integral to many scientific and engineering applications. With the abundance of available data there has been a growing interest in data-driven physics-informed models.…

Machine Learning · Computer Science 2025-02-04 Oliver Hamelijnck , Arno Solin , Theodoros Damoulas

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
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