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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

Developing reliable interatomic potential models with quantified predictive accuracy is crucial for atomistic simulations. Commonly used potentials, such as those constructed through the embedded atom method (EAM), are derived from…

Materials Science · Physics 2022-08-05 Arun Hegde , Elan Weiss , Wolfgang Windl , Habib N. Najm , Cosmin Safta

We introduce ACEpotentials.jl, a Julia-language software package that constructs interatomic potentials from quantum mechanical reference data using the Atomic Cluster Expansion (Drautz, 2019). As the latter provides a complete description…

The Atomic Cluster Expansion (Drautz, Phys. Rev. B 99, 2019) provides a framework to systematically derive polynomial basis functions for approximating isometry and permutation invariant functions, particularly with an eye to modelling…

Numerical Analysis · Mathematics 2021-05-13 Genevieve Dusson , Markus Bachmayr , Gabor Csanyi , Ralf Drautz , Simon Etter , Cas van der Oord , Christoph Ortner

Machine-learned interatomic potentials are revolutionising atomistic materials simulations by providing accurate and scalable predictions within the scope covered by the training data. However, generation of an accurate and robust training…

Materials Science · Physics 2025-07-30 Mariia Radova , Wojciech G. Stark , Connor S. Allen , Reinhard J. Maurer , Albert P. Bartók

Machine learning driven interatomic potentials, including Gaussian approximation potential (GAP) models, are emerging tools for atomistic simulations. Here, we address the methodological question of how one can fit GAP models that…

Materials Science · Physics 2020-08-20 Janine George , Geoffroy Hautier , Albert P. Bartók , Gábor Csányi , Volker L. Deringer

Machine learning methods have nowadays become easy-to-use tools for constructing high-dimensional interatomic potentials with ab initio accuracy. Although machine learned interatomic potentials are generally orders of magnitude faster than…

Computational Physics · Physics 2021-02-24 Yaolong Zhang , Ce Hu , Bin Jiang

The central approximation made in classical molecular dynamics simulation of materials is the interatomic potential used to calculate the forces on the atoms. Great effort and ingenuity is required to construct viable functional forms and…

Computational Physics · Physics 2019-06-26 Mitchell A. Wood , Mary Alice Cusentino , Brian D. Wirth , Aidan P. Thompson

Machine-learned interatomic potentials (MILPs) are rapidly gaining interest for molecular modeling, as they provide a balance between quantum-mechanical level descriptions of atomic interactions and reasonable computational efficiency.…

Computational Physics · Physics 2024-08-30 Gustavo R. Pérez-Lemus , Yinan Xu , Yezhi Jin , Pablo F. Zubieta Rico , Juan J. de Pablo

Over the past decade inter-atomic potentials based on machine-learning (ML) techniques have become an indispensable tool in the atomic-scale modeling of materials. Trained on energies and forces obtained from electronic-structure…

Materials Science · Physics 2022-08-15 Michele Ceriotti

The atomic cluster expansion is a general polynomial expansion of the atomic energy in multi-atom basis functions. Here we implement the atomic cluster expansion in the performant C++ code \verb+PACE+ that is suitable for use in large scale…

Machine learned interatomic potentials (MLIPs) have emerged as powerful tools for molecular dynamics (MD) simulations with their competitive accuracy and computational efficiency. However, MLIPs are often observed to exhibit un-physical…

Materials Science · Physics 2026-02-24 Qianyu Zheng , Victor Fung

Using the maximum entropy method, we derive the "adaptive cluster expansion" (ACE), which can be trained to estimate probability density functions in high dimensional spaces. The main advantage of ACE over other Bayesian networks is its…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Stephen Luttrell

Twisted multilayer graphene, characterized by its moir\'e patterns arising from inter-layer rotational misalignment, serves as a rich platform for exploring quantum phenomena. Machine learning interatomic potentials (MLIPs) are a promising…

Tuning particle accelerators is a challenging and time-consuming task that can be automated and carried out efficiently using suitable optimization algorithms, such as model-based Bayesian optimization techniques. One of the major…

The past decade has witnessed a spectacular development of machine-learned interatomic potentials (MLIPs), to the extent that they are already the approach of choice for most atomistic simulation studies not requiring an explicit treatment…

Materials Science · Physics 2025-11-24 Iñigo Robredo-Magro , Binayak Mukherjee , Hugo Aramberri , Jorge Íñiguez-González

The use of high-dimensional regression techniques from machine learning has significantly improved the quantitative accuracy of interatomic potentials. Atomic simulations can now plausibly target quantitative predictions in a variety of…

Materials Science · Physics 2025-03-04 Danny Perez , Aparna P. A. Subramanyam , Ivan Maliyov , Thomas D. Swinburne

Atomic cluster expansion (ACE) methods provide a systematic way to describe particle local environments of arbitrary body order. For practical applications it is often required that the basis of cluster functions be symmetrized with respect…

Materials Science · Physics 2024-02-27 James M. Goff , Charles Sievers , Mitchell A. Wood , Aidan P. Thompson

This work demonstrates that fine-tuning transforms foundational machine-learned interatomic potentials (MLIPs) to achieve consistent, near-ab initio accuracy across diverse architectures. Benchmarking five leading MLIP frameworks (MACE,…

Chemical Physics · Physics 2025-11-10 Jonas Hänseroth , Aaron Flötotto , Muhammad Nawaz Qaisrani , Christian Dreßler

We show that cluster expansions (CE), previously used to model solid-state materials with binary or ternary configurational disorder, can be extended to the protein design problem. We present a generalized CE framework, in which properties…

Biological Physics · Physics 2015-11-17 Fei Zhou , Gevorg Grigoryan , Steve R. Lustig , Amy E. Keating , Gerbrand Ceder , Dane Morgan