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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

A primary challenge of physics-informed machine learning (PIML) is its generalization beyond the training domain, especially when dealing with complex physical problems represented by partial differential equations (PDEs). This paper aims…

Machine Learning · Computer Science 2023-12-19 Taniya Kapoor , Abhishek Chandra , Daniel M. Tartakovsky , Hongrui Wang , Alfredo Nunez , Rolf Dollevoet

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

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

Accurate physical modeling with 3D-printing techniques could lead to new approaches to study structure and dynamics of biological systems complementing computational methods. Computational biology has become an important part of research…

Other Computer Science · Computer Science 2015-07-14 Promita Chakraborty

Real-world optimization problems are often constrained by complex physical laws that limit computational scalability. These constraints are inherently tied to complex regions, and thus learning models that incorporate physical and geometric…

Machine Learning · Computer Science 2026-03-10 Yilin Wen , Yi Guo , Bo Zhao , Wei Qi , Zechun Hu , Colin Jones , Jian Sun

Deep learning is transforming many areas in science, and it has great potential in modeling molecular systems. However, unlike the mature deployment of deep learning in computer vision and natural language processing, its development in…

Computational Physics · Physics 2021-03-19 Jun Zhang , Yao-Kun Lei , Zhen Zhang , Junhan Chang , Maodong Li , Xu Han , Lijiang Yang , Yi Isaac Yang , Yi Qin Gao

Rapid advancements in imaging techniques and analytical methods over the past decade have revolutionized our ability to comprehensively probe the biological world at multiple scales, pinpointing the type, quantity, location, and even…

Artificial Intelligence · Computer Science 2025-10-02 Shanghang Zhang , Gaole Dai , Tiejun Huang , Jianxu Chen

Applied machine learning (ML) has rapidly spread throughout the physical sciences; in fact, ML-based data analysis and experimental decision-making has become commonplace. We suggest a shift in the conversation from proving that ML can be…

Materials Science · Physics 2021-12-21 Naohiro Fujinuma , Brian L. DeCost , Jason Hattrick-Simpers , Samuel E. Lofland

Many aspects of the study of protein folding and dynamics have been affected by the recent advances in machine learning. Methods for the prediction of protein structures from their sequences are now heavily based on machine learning tools.…

Biological Physics · Physics 2019-11-25 Frank Noé , Gianni De Fabritiis , Cecilia Clementi

High-throughput technologies such as next generation sequencing allow biologists to observe cell function with unprecedented resolution, but the resulting datasets are too large and complicated for humans to understand without the aid of…

Applications · Statistics 2021-10-08 David S. Watson

Machine learning (ML) is becoming increasingly crucial in many fields of engineering but has not yet played out its full potential in bioprocess engineering. While experimentation has been accelerated by increasing levels of lab automation,…

Physics-informed machine learning (PIML) is crucial in modern traffic flow modeling because it combines the benefits of both physics-based and data-driven approaches. In conventional PIML, physical information is typically incorporated by…

Machine Learning · Computer Science 2025-09-23 Yuan-Zheng Lei , Yaobang Gong , Dianwei Chen , Yao Cheng , Xianfeng Terry Yang

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…

Classical intermolecular potentials typically require an extensive parametrization procedure for any new compound considered. To do away with prior parametrization, we propose a combination of physics-based potentials with machine learning…

The rapid development of machine learning (ML) methods has fundamentally affected numerous applications ranging from computer vision, biology, and medicine to accounting and text analytics. Until now, it was the availability of large and…

Data Analysis, Statistics and Probability · Physics 2022-04-12 Sergei V. Kalinin , Maxim Ziatdinov , Bobby G. Sumpter , Andrew D. White

Deep learning has become a powerful tool in computational biology, revolutionising the analysis and interpretation of biological data over time. In our article review, we delve into various aspects of deep learning in computational biology.…

Recently, machine learning (ML) has established itself in various worldwide benchmarking competitions in computational biology, including Critical Assessment of Structure Prediction (CASP) and Drug Design Data Resource (D3R) Grand…

Biomolecules · Quantitative Biology 2020-04-22 Duc D Nguyen , Zixuan Cang , Guo-Wei Wei

This study investigates why physics-informed machine learning (PIML) can fail in macroscopic traffic flow modeling. We define failure as cases where a PIML model underperforms both purely data-driven and purely physics-based baselines by a…

Machine Learning · Computer Science 2025-09-16 Yuan-Zheng Lei , Yaobang Gong , Dianwei Chen , Yao Cheng , Xianfeng Terry Yang

The ability to predict trajectories of surrounding agents and obstacles is a crucial component in many robotic applications. Data-driven approaches are commonly adopted for state prediction in scenarios where the underlying dynamics are…

Robotics · Computer Science 2025-04-28 Kaiyuan Tan , Peilun Li , Jun Wang , Thomas Beckers