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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

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

Scientific machine learning (SciML) is an interdisciplinary research field that integrates machine learning, particularly deep learning, with physics theory to understand and predict complex natural phenomena. By incorporating physical…

Geophysics · Physics 2025-03-24 Tomohisa Okazaki

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

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

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…

Scientific machine learning (SciML) provides a structured approach to integrating physical knowledge into data-driven modeling, offering significant potential for advancing hydrological research. In recent years, multiple methodological…

Computational Physics · Physics 2026-02-25 Adoubi Vincent De Paul Adombi

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

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

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

Scientific machine learning (SciML) models are transforming many scientific disciplines. However, the development of good modeling practices to increase the trustworthiness of SciML has lagged behind its application, limiting its potential…

Machine Learning · Computer Science 2025-04-29 John D. Jakeman , Lorena A. Barba , Joaquim R. R. A. Martins , Thomas O'Leary-Roseberry

This study presents a broad perspective of hybrid process modeling and optimization combining the scientific knowledge and data analytics in bioprocessing and chemical engineering with a science-guided machine learning (SGML) approach. We…

Machine Learning · Computer Science 2022-01-26 Niket Sharma , Y. A. Liu

By leveraging neural networks, the emerging field of scientific machine learning (SciML) offers novel approaches to address complex problems governed by partial differential equations (PDEs). In practical applications, challenges arise due…

Machine Learning · Computer Science 2024-10-18 Handi Zhang , Langchen Liu , Lu Lu

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

The recent development of machine learning (ML) and Deep Learning (DL) increases the opportunities in all the sectors. ML is a significant tool that can be applied across many disciplines, but its direct application to civil engineering…

Machine Learning · Computer Science 2024-09-04 Shashank Reddy Vadyala , Sai Nethra Betgeri1 , John C. Matthews , Elizabeth Matthews

Optimization is central to both modern machine learning (ML) and scientific machine learning (SciML), yet the structure of the underlying optimization problems differs substantially across these domains. Classical ML typically relies on…

Numerical Analysis · Mathematics 2026-01-16 Alena Kopaničáková , Elisa Riccietti

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

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

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

Recent developments in 3D vision have enabled significant progress in inferring neural fluid fields and realistic rendering of fluid dynamics. However, these methods require dense captures of real-world flows, which demand specialized…

Machine Learning · Computer Science 2026-02-23 Yuqiu Liu , Jingxuan Xu , Mauricio Soroco , Yunchao Wei , Wuyang Chen
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