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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

Purpose: The paper introduces a classical model to describe the dynamics of large spin-1/2 ensembles associated with nuclei bound in large molecule structures, commonly referred to as the semi-solid spin pool, and their magnetization…

Machine learning (ML) is transforming all areas of science. The complex and time-consuming calculations in molecular simulations are particularly suitable for a machine learning revolution and have already been profoundly impacted by the…

Chemical Physics · Physics 2019-11-11 Frank Noé , Alexandre Tkatchenko , Klaus-Robert Müller , Cecilia Clementi

Micromagnetics depends on high-fidelity numerical methods for magnetization dynamics. This work proposes a third-order temporal accuracy scheme for the Landau-Lifshitz-Gilbert equation, addressing accuracy-efficiency trade-offs in existing…

Mathematical Physics · Physics 2025-11-17 Changjian Xie , Cheng Wang

A brief survey of the author's works on the quantum theory of magnetism. Theoretical foundation and applications of the generalized spin-fermion (sp-d) exchange lattice model to various magnetic systems, e.g., rare-earth metals and…

Strongly Correlated Electrons · Physics 2007-05-23 A. L. Kuzemsky

Multilevel models (MLMs) are a central building block of the Bayesian workflow. They enable joint, interpretable modeling of data across hierarchical levels and provide a fully probabilistic quantification of uncertainty. Despite their…

Dynamical systems that evolve continuously over time are ubiquitous throughout science and engineering. Machine learning (ML) provides data-driven approaches to model and predict the dynamics of such systems. A core issue with this approach…

Machine Learning · Computer Science 2023-11-23 Aditi S. Krishnapriyan , Alejandro F. Queiruga , N. Benjamin Erichson , Michael W. Mahoney

Extracting consistent statistics between relevant free-energy minima of a molecular system is essential for physics, chemistry and biology. Molecular dynamics (MD) simulations can aid in this task but are computationally expensive,…

Chemical Physics · Physics 2024-04-17 Ana Molina-Taborda , Pilar Cossio , Olga Lopez-Acevedo , Marylou Gabrié

Highly accurate force fields are a mandatory requirement to generate predictive simulations. In this regard, Machine Learning Force Fields (MLFFs) have emerged as a revolutionary approach in computational chemistry and materials science,…

Materials Science · Physics 2025-03-11 Carlos A. Vital , Román J. Armenta-Rico , Huziel E. Sauceda

Solidification governs the microstructure and, therefore, the mechanical response of metal components, yet the atomistic details of nucleation and defect formation are often difficult to determine experimentally. Molecular dynamics can…

Computational Physics · Physics 2026-03-26 Ian Störmer , Julija Zavadlav

Reinforcement learning (RL) is a powerful approach for robot learning. However, model-free RL (MFRL) requires a large number of environment interactions to learn successful control policies. This is due to the noisy RL training updates and…

Robotics · Computer Science 2025-02-28 Maria Krinner , Elie Aljalbout , Angel Romero , Davide Scaramuzza

With a sufficiently fine discretisation, the Lattice Boltzmann Method (LBM) mimics a second order Crank-Nicolson scheme for certain types of balance laws (Farag et al. [2021]). This allows the explicit, highly parallelisable LBM to…

Computational Engineering, Finance, and Science · Computer Science 2023-07-27 Erik Faust , Alexander Schlüter , Henning Müller , Ralf Müller

We apply reinforcement learning (RL) to robotics tasks. One of the drawbacks of traditional RL algorithms has been their poor sample efficiency. One approach to improve the sample efficiency is model-based RL. In our model-based RL…

Machine Learning · Computer Science 2023-05-16 Adithya Ramesh , Balaraman Ravindran

Understanding the mechanical properties of solid-state materials at the atomic scale is crucial for developing novel materials. For example, amorphous LiSi alloys are attractive anode materials for solid-state Li-ion batteries but face…

Disordered Systems and Neural Networks · Physics 2024-02-15 Zixiong Wei , Nongnuch Artrith

The Landau-Lifshitz-Gilbert (LLG) equation is a widely used model for fast magnetization dynamics in ferromagnetic materials. Recently, the inertial LLG equation, which contains an inertial term, has been proposed to capture the ultra-fast…

Numerical Analysis · Mathematics 2022-09-13 Jingrun Chen , Panchi Li , Cheng Wang

Machine learning plays an increasingly important role in computational chemistry and materials science, complementing computationally intensive ab initio and first-principles methods. Despite their utility, machine-learning models often…

Chemical Physics · Physics 2025-05-06 Makoto Takamoto , Viktor Zaverkin , Mathias Niepert

Machine-learning force fields (MLFF) should be accurate, computationally and data efficient, and applicable to molecules, materials, and interfaces thereof. Currently, MLFFs often introduce tradeoffs that restrict their practical…

The pseudospectral Landau-Lifshitz (PS-LL) model can describe atomic-scale magnetic exchange interactions within a continuum framework. This is achieved by employing a convolution kernel that models the nonlocal interaction in a…

Mesoscale and Nanoscale Physics · Physics 2025-07-29 A. Roxburgh , M. Copus , E. Iacocca

Machine learning (ML) force fields are one of the most common applications of ML methods in the field of physical and chemical science. In the optimal case, they are able to reach accuracy close to the first principles methods with…

Computational Physics · Physics 2022-10-14 Antti Pihlajamäki , Sami Malola , Tommi Kärkkäinen , Hannu Häkkinen

As powerful as machine learning (ML) techniques are in solving problems involving data with large dimensionality, explaining the results from the fitted parameters remains a challenging task of utmost importance, especially in physics…

Disordered Systems and Neural Networks · Physics 2024-04-15 Roberto C. Alamino