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Physics-informed machine learning combines the expressiveness of data-based approaches with the interpretability of physical models. In this context, we consider a general regression problem where the empirical risk is regularized by a…

Artificial Intelligence · Computer Science 2025-07-15 Nathan Doumèche , Francis Bach , Gérard Biau , Claire Boyer

In model-based reinforcement learning, simulated experiences from the learned model are often treated as equivalent to experience from the real environment. However, when the model is inaccurate, it can catastrophically interfere with…

Machine Learning · Computer Science 2024-06-25 Erin J. Talvitie , Zilei Shao , Huiying Li , Jinghan Hu , Jacob Boerma , Rory Zhao , Xintong Wang

Deep learning algorithms have recently shown to be a successful tool in estimating parameters of statistical models for which simulation is easy, but likelihood computation is challenging. But the success of these approaches depends on…

Machine Learning · Statistics 2024-02-20 Amanda Lenzi , Haavard Rue

An extendable, efficient and explainable Machine Learning approach is proposed to represent cyclic plasticity and replace conventional material models based on the Radial Return Mapping algorithm. High accuracy and stability by means of a…

Materials Science · Physics 2025-08-11 Stefan Hildebrand , Sandra Klinge

Considerable research has been devoted to deep learning-based predictive models for system prognostics and health management in the reliability and safety community. However, there is limited study on the utilization of deep learning for…

Machine Learning · Statistics 2021-09-07 Taotao Zhou , Enrique Lopez Droguett , Ali Mosleh

Machine learning (ML) techniques applied to quantum many-body physics have emerged as a new research field. While the numerical power of this approach is undeniable, the most expressive ML algorithms, such as neural networks, are black…

Quantum Physics · Physics 2021-11-25 Anna Dawid , Patrick Huembeli , Michał Tomza , Maciej Lewenstein , Alexandre Dauphin

Machine learning models that incorporate concept learning as an intermediate step in their decision making process can match the performance of black-box predictive models while retaining the ability to explain outcomes in human…

Machine Learning · Computer Science 2021-06-28 Anita Mahinpei , Justin Clark , Isaac Lage , Finale Doshi-Velez , Weiwei Pan

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

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 requirement of generating predictions that exactly fulfill the fundamental symmetry of the corresponding physical quantities has profoundly shaped the development of machine-learning models for physical simulations. In many cases,…

Machine Learning · Computer Science 2026-03-27 Michelangelo Domina , Joseph William Abbott , Paolo Pegolo , Filippo Bigi , Michele Ceriotti

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

Complex black-box predictive models may have high performance, but lack of interpretability causes problems like lack of trust, lack of stability, sensitivity to concept drift. On the other hand, achieving satisfactory accuracy of…

Machine Learning · Computer Science 2020-02-12 Alicja Gosiewska , Przemyslaw Biecek

Performing machine learning with analog signals offers advantages in speed and energy efficiency, but sensitivity to component and measurement imperfections often foils training without a system-specific companion digital model. Here we…

Disordered Systems and Neural Networks · Physics 2026-03-18 Sam Dillavou , Marcelo Guzman , Andrea J. Liu , Douglas J. Durian

The head-mounted display is a vital component of augmented reality, incorporating optics with complex display and see-through optical behavior. Computationally modeling these optical behaviors requires meeting three key criteria: accuracy,…

Graphics · Computer Science 2025-01-03 Yufeng Zhu

Proper learning refers to the setting in which learners must emit predictors in the underlying hypothesis class $H$, and often leads to learners with simple algorithmic forms (e.g. empirical risk minimization (ERM), structural risk…

Machine Learning · Computer Science 2025-12-10 Julian Asilis , Siddartha Devic , Shaddin Dughmi , Vatsal Sharan , Shang-Hua Teng

Interpretable machine learning has become a strong competitor for traditional black-box models. However, the possible loss of the predictive performance for gaining interpretability is often inevitable, putting practitioners in a dilemma of…

Machine Learning · Computer Science 2019-05-13 Tong Wang , Qihang Lin

Physical modeling closes the gap between perception in terms of measurements and abstraction in terms of theoretical models. Physical modeling is a major objective in physics and is generally regarded as a creative process. How good are…

Quantum Physics · Physics 2018-02-14 Cyril Stark

Machine-learned interatomic potentials (MLIPs) are increasingly used to replace computationally demanding electronic-structure calculations to model matter at the atomic scale. The most commonly used model architectures are constrained to…

Chemical Physics · Physics 2026-03-30 Filippo Bigi , Paolo Pegolo , Arslan Mazitov , Jonathan Schmidt , Michele Ceriotti

Machine learning has emerged as a significant approach to efficiently tackle electronic structure problems. Despite its potential, there is less guarantee for the model to generalize to unseen data that hinders its application in real-world…

Machine Learning · Computer Science 2024-02-16 Gengyuan Hu , Gengchen Wei , Zekun Lou , Philip H. S. Torr , Wanli Ouyang , Han-sen Zhong , Chen Lin

Constrained Hamiltonian description of the classical limit is utilized in order to derive consistent dynamical equations for hybrid quantum-classical systems. Starting with a compound quantum system in the Hamiltonian formulation conditions…

Quantum Physics · Physics 2012-06-08 M. Radonjic , S. Prvanovic , N. Buric