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We develop a combined machine learning (ML) and quantum mechanics approach that enables data-efficient reconstruction of flexible molecular force fields from high-level ab initio calculations, through the consideration of fundamental…

Computational Physics · Physics 2021-04-14 Stefan Chmiela , Huziel E. Sauceda , Alexandre Tkatchenko , Klaus-Robert Müller

For many decades, experimental solid mechanics has played a crucial role in characterizing and understanding the mechanical properties of natural and novel materials. Recent advances in machine learning (ML) provide new opportunities for…

Machine Learning · Computer Science 2023-09-07 Hanxun Jin , Enrui Zhang , Horacio D. Espinosa

Scientific progress is tightly coupled to the emergence of new research tools. Today, machine learning (ML)-especially deep learning (DL)-has become a transformative instrument for quantum science and technology. Owing to the intrinsic…

Quantum Physics · Physics 2025-08-15 Timothy Heightman , Marcin Płodzień

Model-based approaches for image reconstruction, analysis and interpretation have made significant progress over the last decades. Many of these approaches are based on either mathematical, physical or biological models. A challenge for…

Computer Vision and Pattern Recognition · Computer Science 2019-10-01 Daniel Rueckert , Julia A. Schnabel

Machine learning (ML) is redefining what is possible in data-intensive fields of science and engineering. However, applying ML to problems in the physical sciences comes with a unique set of challenges: scientists want physically…

Computational Physics · Physics 2020-07-06 Kathleen Champion , Peng Zheng , Aleksandr Y. Aravkin , Steven L. Brunton , J. Nathan Kutz

Substitution of well-grounded theoretical models by data-driven predictions is not as simple in engineering and sciences as it is in social and economic fields. Scientific problems suffer most times from paucity of data, while they may…

Machine Learning · Computer Science 2020-11-18 Jacobo Ayensa-Jiménez , Mohamed H. Doweidar , Jose Antonio Sanz-Herrera , Manuel Doblaré

Increasingly, artificial intelligence (AI) and machine learning (ML) are used in eScience applications [9]. While these approaches have great potential, the literature has shown that ML-based approaches frequently suffer from results that…

Machine Learning · Computer Science 2024-07-03 Zhiwei Li , Carl Kesselman , Mike D'Arch , Michael Pazzani , Benjamin Yizing Xu

System and software design benefits greatly from formal modeling, allowing for automated analysis and verification early in the design phase. Current methods excel at checking information flow and component interactions, ensuring…

Systems and Control · Electrical Eng. & Systems 2025-01-31 Candice Chambers , Summer Mueller , Parth Ganeriwala , Chiradeep Sen , Siddhartha Bhattacharyya

Machine learning is increasingly recognized as a promising technology in the biological, biomedical, and behavioral sciences. There can be no argument that this technique is incredibly successful in image recognition with immediate…

Recent advances in computational infrastructure and large-scale data processing have accelerated the adoption of data-driven inference methods, particularly deep learning (DL), to solve problems in many scientific and engineering domains.…

Information Theory · Computer Science 2026-02-09 Atefeh Termehchi , Ekram Hossain , Angelo Vera-Rivera , Muhammad Ibrahim , Isaac Woungang

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

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

Solving high-dimensional partial differential equations (PDEs) is a critical challenge where modern data-driven solvers often lack reliability and rigorous error guarantees. We introduce Simulation-Calibrated Scientific Machine Learning…

Numerical Analysis · Mathematics 2025-12-25 Zexi Fan , Yan Sun , Shihao Yang , Yiping Lu

Physics-based models of dynamical systems are often used to study engineering and environmental systems. Despite their extensive use, these models have several well-known limitations due to simplified representations of the physical…

Machine Learning · Computer Science 2020-09-15 Xiaowei Jia , Jared Willard , Anuj Karpatne , Jordan S Read , Jacob A Zwart , Michael Steinbach , Vipin Kumar

Machine Learning (ML) based algorithms have found significant impact in many fields of engineering and sciences, where datasets are available from experiments and high fidelity numerical simulations. Those datasets are generally utilized in…

Machine Learning · Computer Science 2021-09-14 J P Panda

We present a novel approach to modeling the ground state mass of atomic nuclei based directly on a probabilistic neural network constrained by relevant physics. Our Physically Interpretable Machine Learning (PIML) approach incorporates…

Nuclear Theory · Physics 2022-08-17 M. R. Mumpower , T. M. Sprouse , A. E. Lovell , A. T. Mohan

Data-driven modeling based on Machine Learning (ML) is becoming a central component of protein engineering workflows. This perspective presents the elements necessary to develop effective, reliable, and reproducible ML models, and a set of…

Biomolecules · Quantitative Biology 2025-07-11 Fabio Herrera-Rocha , David Medina-Ortiz , Fabian Mauz , Juergen Pleiss , Mehdi D. Davari

This work introduces Physics-informed State-space neural network Models (PSMs), a novel solution to achieving real-time optimization, flexibility, and fault tolerance in autonomous systems, particularly in transport-dominated systems such…

Machine Learning · Computer Science 2024-08-21 Akshay J. Dave , Richard B. Vilim

Data-driven science is an emerging paradigm where scientific discoveries depend on the execution of computational AI models against rich, discipline-specific datasets. With modern machine learning frameworks, anyone can develop and execute…

Machine Learning · Computer Science 2022-08-09 Seth Ockerman , John Wu , Christopher Stewart

The rise of Big Data has led to new demands for Machine Learning (ML) systems to learn complex models with millions to billions of parameters, that promise adequate capacity to digest massive datasets and offer powerful predictive analytics…

Machine Learning · Statistics 2016-01-01 Eric P. Xing , Qirong Ho , Pengtao Xie , Wei Dai
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