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Most atomistic machine learning (ML) models rely on a locality ansatz, and decompose the energy into a sum of short-ranged, atom-centered contributions. This leads to clear limitations when trying to describe problems that are dominated by…

The most successful and popular machine learning models of atomic-scale properties derive their transferability from a locality ansatz. The properties of a large molecule or a bulk material are written as a sum over contributions that…

Chemical Physics · Physics 2020-01-08 Andrea Grisafi , Michele Ceriotti

Machine-learning (ML) force fields enable large-scale simulations with near-first-principles accuracy at substantially reduced computational cost. Recent work has extended ML force-field approaches to adiabatic dynamical simulations of…

Strongly Correlated Electrons · Physics 2026-01-08 Yunhao Fan , Gia-Wei Chern

Machine-learning interatomic potentials (MLIPs) have made a significant contribution to the recent progress in the fields of computational materials and chemistry due to the MLIPs' ability of accurately approximating energy landscapes of…

Computational Physics · Physics 2024-09-20 Max Hodapp , Alexander Shapeev

A ubiquitous approach to obtain transferable machine learning-based models of potential energy surfaces for atomistic systems is to decompose the total energy into a sum of local atom-centred contributions. However, in many systems…

Computational Physics · Physics 2024-06-18 Jack Thomas , William J. Baldwin , Gábor Csányi , Christoph Ortner

The state-of-the-art online learning models generally conduct a single online gradient descent when a new sample arrives and thus suffer from suboptimal model weights. To this end, we introduce an online broad learning system framework with…

Machine Learning · Computer Science 2025-12-09 Chunyu Lei , Guang-Ze Chen , C. L. Philip Chen , Tong Zhang

In the last few years several ``universal'' interatomic potentials have appeared, using machine-learning approaches to predict energy and forces of atomic configurations with arbitrary composition and structure, with an accuracy often…

With the growing availability of machine-learned interatomic potential (MLIP) models for materials simulations, there is an increasing demand for robust, automated, and chemically insightful benchmarking methodologies. In response, we here…

Materials Science · Physics 2025-11-21 Natascia L. Fragapane , Volker L. Deringer

Interatomic potentials are key to uncovering microscopic structure-property relationships, essential for multiscale simulations and high-throughput experiments. For metallic glasses, their disordered atomic structure makes the development…

Large language models (LLMs) have been widely explored for embedding generation. While recent studies show that in-context learning (ICL) effectively enhances the representational capability of LLMs by prepending a few task-related…

Computation and Language · Computer Science 2026-05-05 Ailiang Lin , Zhuoyun Li , Keyu Mao , Kotaro Funakoshi , Manabu Okumura

The fast Ewald methods are widely used to compute the point-charge electrostatic interactions in molecular simulations. The key step that introduces errors in the computation is the particle-mesh interpolation. In this work, the optimal…

Chemical Physics · Physics 2017-10-25 Han Wang , Jun Fang , Xingyu Gao

To minimise systematic errors in Monte Carlo simulations of charged particles, long range electrostatic interactions have to be calculated accurately and efficiently. Standard approaches, such as Ewald summation or the naive application of…

Computational Physics · Physics 2021-02-24 William Robert Saunders , James Grant , Eike Hermann Müller

Machine-learning electronic Hamiltonians achieve orders-of-magnitude speedups over density-functional theory, yet current models omit long-range Coulomb interactions that govern physics in polar crystals and heterostructures. We derive…

Computational Physics · Physics 2026-03-23 Yang Zhong , Xiwen Li , Xingao Gong , Hongjun Xiang

Molecular dynamics (MD) employing machine-learned interatomic potentials (MLIPs) serve as an efficient, urgently needed complement to ab initio molecular dynamics (aiMD). By training these potentials on data generated from ab initio…

Materials Science · Physics 2024-09-19 Kisung Kang , Thomas A. R. Purcell , Christian Carbogno , Matthias Scheffler

One of the ultimate goals of computational modeling in condensed matter is to be able to accurately compute materials properties with minimal empirical information. First-principles approaches such as the density functional theory (DFT)…

Machine-learned interatomic potentials (MLPs) provide near density functional theory (DFT) accuracy at reduced computational cost, but their reliability depends on representative training data and often deteriorates in transition-state…

Chemical Physics · Physics 2026-05-06 Ashique Lal , Rik S. Breebaart , Peter G. Bolhuis , Evert Jan Meijer

Machine learning interatomic potentials (MLIPs) are revolutionizing the field of molecular dynamics (MD) simulations. Recent MLIPs have tended towards more complex architectures trained on larger datasets. The resulting increase in…

The evaluation of long-range Coulomb interactions is a significant cost in molecular dynamics (MD), even when using Particle Mesh Ewald (PME) or Particle-Particle-Particle-Mesh (PPPM) methods, which rely on Ewald splitting and the fast…

Numerical Analysis · Mathematics 2026-04-21 Jiuyang Liang , Libin Lu , Alex Barnett , Leslie Greengard , Shidong Jiang

Machine learning interatomic potentials (MLIPs) have been widely used to facilitate large-scale molecular simulations with accuracy comparable to ab initio methods. In practice, MLIP-based molecular simulations often encounter the issue of…

Computational Physics · Physics 2025-04-17 Han Xu , Taoyong Cui , Chenyu Tang , Jinzhe Ma , Dongzhan Zhou , Yuqiang Li , Xiang Gao , Xingao Gong , Wanli Ouyang , Shufei Zhang , Mao Su

Machine Learning Interatomic Potentials (MLIPs) achieve near ab initio accuracy at a fraction of the cost of quantum-mechanical simulations, yet they remain prone to silent failures on out-of-distribution configurations, making principled…

Computational Engineering, Finance, and Science · Computer Science 2026-05-27 Olga Zaghen , Maksim Zhdanov , Dario Coscia , David R. Wessels , Erik J. Bekkers
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