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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

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 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

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

Scientific machine learning (SciML) represents a significant advancement in integrating machine learning (ML) with scientific methodologies. At the forefront of this development are Physics-Informed Neural Networks (PINNs), which offer a…

Machine Learning · Computer Science 2024-11-19 Reyhaneh Taj

The convergence of statistical learning and molecular physics is transforming our approach to modeling biomolecular systems. Physics-informed machine learning (PIML) offers a systematic framework that integrates data-driven inference with…

Biomolecules · Quantitative Biology 2025-11-11 Aaryesh Deshpande

Physics-informed machine learning (PIML) is a set of methods and tools that systematically integrate machine learning (ML) algorithms with physical constraints and abstract mathematical models developed in scientific and engineering…

This study benchmarks hybrid quantum physics-informed neural network (HQPINN) to model high-speed flows, compared against classical physics-informed neural networks (PINNs) and fully quantum neural networks (QNNs). The HQPINN architecture…

Computational Physics · Physics 2025-08-04 Fong Yew Leong , Wei-Bin Ewe , Tran Si Bui Quang , Zhongyuan Zhang , Jun Yong Khoo

Recent advances of data-driven machine learning have revolutionized fields like computer vision, reinforcement learning, and many scientific and engineering domains. In many real-world and scientific problems, systems that generate data are…

Machine Learning · Computer Science 2023-03-08 Zhongkai Hao , Songming Liu , Yichi Zhang , Chengyang Ying , Yao Feng , Hang Su , Jun Zhu

Melt pool dynamics in metal additive manufacturing (AM) is critical to process stability, microstructure formation, and final properties of the printed materials. Physics-based simulation including computational fluid dynamics (CFD) is the…

Machine Learning · Computer Science 2023-07-25 R. Sharma , W. Grace Guo , M. Raissi , Y. B. Guo

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

We develop improved physics-informed neural networks (PINNs) for high-order and high-dimensional power system models described by nonlinear ordinary differential equations. We propose some novel enhancements to improve PINN training and…

Machine Learning · Computer Science 2024-10-11 Vineet Jagadeesan Nair

The utilization of Deep Neural Networks (DNNs) in physical science and engineering applications has gained traction due to their capacity to learn intricate functions. While large datasets are crucial for training DNN models in fields like…

Machine Learning · Computer Science 2025-08-05 Vamsi Sai Krishna Malineni , Suresh Rajendran

Neural networks have emerged as powerful tools for modeling complex physical systems, yet balancing high accuracy with computational efficiency remains a critical challenge in their convergence behavior. In this work, we propose the Hybrid…

Machine Learning · Computer Science 2025-04-01 Zuyu Xu , Bin Lv

This paper presents a new approach to simulate forward and inverse problems of moving loads using physics-informed machine learning (PIML). Physics-informed neural networks (PINNs) utilize the underlying physics of moving load problems and…

Machine Learning · Computer Science 2023-04-04 Taniya Kapoor , Hongrui Wang , Alfredo Núñez , Rolf Dollevoet

Physics-Informed Neural Networks (PINNs) have advanced the data-driven solution of differential equations (DEs) in dynamic physical systems, yet challenges remain in explainability, scalability, and architectural complexity. This paper…

Signal Processing · Electrical Eng. & Systems 2025-12-03 Ibrahim Shahbaz , Mohammad J. Abdel-Rahman , Eman Hammad

Physics-informed machine learning (PIML) provides a promising solution for building energy modeling and can serve as a virtual environment to enable reinforcement learning (RL) agents to interact and learn. However, challenges remain in…

Systems and Control · Electrical Eng. & Systems 2025-12-16 Zixin Jiang , Xuezheng Wang , Bing Dong

In an era increasingly focused on green computing and explainable AI, revisiting traditional approaches in theoretical and phenomenological particle physics is paramount. This project evaluates various machine learning (ML)…

High Energy Physics - Phenomenology · Physics 2025-04-30 Vasileios Vatellis

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

Physics-informed neural networks (PINNs) and their variants have been very popular in recent years as algorithms for the numerical simulation of both forward and inverse problems for partial differential equations. This article aims to…

Numerical Analysis · Mathematics 2024-11-20 Tim De Ryck , Siddhartha Mishra
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