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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…

Physics-informed machine learning (PIML), referring to the combination of prior knowledge of physics, which is the high level abstraction of natural phenomenons and human behaviours in the long history, with data-driven machine learning…

Machine Learning · Computer Science 2022-04-01 Chuizheng Meng , Sungyong Seo , Defu Cao , Sam Griesemer , Yan Liu

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

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) 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

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) has gained momentum in the last 5 years with scientists and researchers aiming to utilize the benefits afforded by advances in machine learning, particularly in deep learning. With large scientific…

Computational Physics · Physics 2021-05-26 Samuel J. Raymond , David B. Camarillo

This study presents a comprehensive overview of PIML techniques in the context of condition monitoring. The central concept driving PIML is the incorporation of known physical laws and constraints into machine learning algorithms, enabling…

Machine Learning · Computer Science 2024-01-23 Yuandi Wu , Brett Sicard , Stephen Andrew Gadsden

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) 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

Physics-Informed Machine Learning (PIML) has successfully integrated mechanistic understanding into machine learning, particularly in domains governed by well-known physical laws. This success has motivated efforts to apply PIML to biology,…

Machine Learning · Computer Science 2025-10-30 Julien Martinelli

Compared to physics-based computational manufacturing, data-driven models such as machine learning (ML) are alternative approaches to achieve smart manufacturing. However, the data-driven ML's "black box" nature has presented a challenge to…

Machine Learning · Computer Science 2024-07-16 Rahul Sharma , Maziar Raissi , Y. B. Guo

Machine learning has emerged as a powerful tool in various fields, including computer vision, natural language processing, and speech recognition. It can unravel hidden patterns within large data sets and reveal unparalleled insights,…

Machine Learning · Computer Science 2024-05-24 Abdeldjalil Latrach , Mohamed Lamine Malki , Misael Morales , Mohamed Mehana , Minou Rabiei

Modeling thermal states for complex space missions, such as the surface exploration of airless bodies, requires high computation, whether used in ground-based analysis for spacecraft design or during onboard reasoning for autonomous…

Machine Learning · Computer Science 2024-09-06 Manaswin Oddiraju , Zaki Hasnain , Saptarshi Bandyopadhyay , Eric Sunada , Souma Chowdhury

Advancements in digital automation for smart grids have led to the installation of measurement devices like phasor measurement units (PMUs), micro-PMUs ($\mu$-PMUs), and smart meters. However, a large amount of data collected by these…

Systems and Control · Electrical Eng. & Systems 2023-09-20 Mehdi Jabbari Zideh , Paroma Chatterjee , Anurag K. Srivastava

The mass loss of the polar ice sheets contributes considerably to ongoing sea-level rise and changing ocean circulation, leading to coastal flooding and risking the homes and livelihoods of tens of millions of people globally. To address…

Machine Learning · Computer Science 2024-05-01 Zesheng Liu , YoungHyun Koo , Maryam Rahnemoonfar

This paper is aimed at using the newly developing field of physics informed machine learning (PIML) to develop models for predicting the remaining useful lifetime (RUL) aircraft engines. We consider the well-known benchmark NASA Commercial…

Machine Learning · Computer Science 2024-06-25 Sriram Nagaraj , Truman Hickok

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

Quantifying and propagating modeling uncertainties is crucial for reliability analysis, robust optimization, and other model-based algorithmic processes in engineering design and control. Now, physics-informed machine learning (PIML)…

Machine Learning · Computer Science 2025-07-14 Manaswin Oddiraju , Bharath Varma Penumatsa , Divyang Amin , Michael Piedmonte , Souma Chowdhury

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
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