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In the past two decades, machine learning potentials (MLP) have reached a level of maturity that now enables applications to large-scale atomistic simulations of a wide range of systems in chemistry, physics and materials science. Different…

Chemical Physics · Physics 2021-07-09 Emir Kocer , Tsz Wai Ko , Jörg Behler

In this paper we investigate the performance of different machine learning potentials (MLPs) in predicting key thermodynamic properties of water using RPBE+D3. Specifically, we scrutinize kernel-based regression and high-dimensional neural…

Restricted Boltzmann Machines (RBM) have attracted a lot of attention of late, as one the principle building blocks of deep networks. Training RBMs remains problematic however, because of the intractibility of their partition function. The…

Machine Learning · Statistics 2010-12-17 Guillaume Desjardins , Aaron Courville , Yoshua Bengio

With the emergence of Foundational Machine Learning Interatomic Potential (FMLIP) models trained on extensive datasets, transferring data between different ML architectures has become increasingly important. In this work, we examine the…

Data-driven techniques are increasingly used to replace electronic-structure calculations of matter. In this context, a relevant question is whether machine learning (ML) should be applied directly to predict the desired properties or be…

A procedure for unfolding the true distribution from experimental data is presented. Machine learning methods are applied for simultaneous identification of an apparatus function and solving of an inverse problem. A priori information about…

Data Analysis, Statistics and Probability · Physics 2011-05-26 Nikolai Gagunashvili

Machine learning interatomic potentials (MLIPs) have become increasingly effective at approximating quantum mechanical calculations at a fraction of the computational cost. However, lower errors on held out test sets do not always translate…

Computational Physics · Physics 2025-04-24 Xiang Fu , Brandon M. Wood , Luis Barroso-Luque , Daniel S. Levine , Meng Gao , Misko Dzamba , C. Lawrence Zitnick

Data-driven inverse optimization for mixed-integer linear programs (MILPs), which seeks to learn an objective function and constraints consistent with observed decisions, is important for building accurate mathematical models in a variety…

Optimization and Control · Mathematics 2026-02-17 Akira Kitaoka

The subject of this paper is the technology (the "how") of constructing machine-learning interatomic potentials, rather than science (the "what" and "why") of atomistic simulations using machine-learning potentials. Namely, we illustrate…

Computational Physics · Physics 2020-07-20 Ivan S. Novikov , Konstantin Gubaev , Evgeny V. Podryabinkin , Alexander V. Shapeev

A machine-learned spin-lattice interatomic potential (MSLP) for magnetic iron is developed and applied to mesoscopic scale defects. It is achieved by augmenting a spin-lattice Hamiltonian with a neural network term trained to descriptors…

Materials Science · Physics 2022-05-11 Jacob Bernard John Chapman , Pui-Wai Ma

Materials properties depend strongly on chemical composition, i.e., the relative amounts of each chemical element. Changes in composition lead to entirely different chemical arrangements, which vary in complexity from perfectly ordered…

Materials Science · Physics 2025-06-24 Killian Sheriff , Daniel Xiao , Yifan Cao , Lewis R. Owen , Rodrigo Freitas

Boltzmann Machines (BMs) are graphical models with interconnected binary units, employed for the unsupervised modeling of data distributions. When trained on real data, BMs show the tendency to behave like critical systems, displaying a…

Disordered Systems and Neural Networks · Physics 2024-06-28 Enrico Ventura , Simona Cocco , Rémi Monasson , Francesco Zamponi

Machine-learned interatomic potentials (MLIPs) and force fields (i.e. interaction laws for atoms and molecules) are typically trained on limited data-sets that cover only a very small section of the full space of possible input structures.…

Numerical Analysis · Mathematics 2022-09-13 Christoph Ortner , Yangshuai Wang

The introduction of machine learned potentials (MLPs) has greatly expanded the space available for studying Nuclear Quantum Effects computationally with ab initio path integral (PI) accuracy, with the MLPs' promise of an accuracy comparable…

Chemical Physics · Physics 2024-12-03 Bo Thomsen , Yuki Nagai , Keita Kobayashi , Ikutaro Hamada , Motoyuki Shiga

The inverse Potts problem to infer a Boltzmann distribution for homologous protein sequences from their single-site and pairwise amino acid frequencies recently attracts a great deal of attention in the studies of protein structure and…

Populations and Evolution · Quantitative Biology 2024-07-23 Sanzo Miyazawa

DFT-based machine-learning potentials (MLPs) are now routinely trained for condensed-phase systems, but surpassing DFT accuracy remains challenging due to the cost or unavailability of periodic reference calculations. Our previous work (PRL…

Chemical Physics · Physics 2025-02-25 Bence Balázs Mészáros , András Szabó , János Daru

Liquid metals are central to energy-storage and nuclear technologies, yet quantitative knowledge of their thermophysical properties remains limited. While atomistic simulations offer a route to computing liquid properties directly from…

Materials Science · Physics 2026-01-09 Alex Tai , Jason Ogbebor , Rodrigo Freitas

Machine Learning Interatomic Potentials (MLIPs) are becoming a central tool in simulation-based chemistry. However, like most deep learning models, MLIPs struggle to make accurate predictions on out-of-distribution data or when trained in a…

Machine Learning · Computer Science 2026-01-19 Dario Coscia , Pim de Haan , Max Welling

Machine learned interaction potentials (MLIPs) have become a critical component of large-scale, high-quality simulations for a range of chemical and biochemical systems. Yet, despite their in-distribution accuracy, molecular dynamics…

Chemical Physics · Physics 2026-04-09 Eric C. -Y. Yuan , Teresa Head-Gordon

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