Efficient and Accurate Machine-Learning Interpolation of Atomic Energies in Compositions with Many Species
arXiv:1706.06293 · doi:10.1103/PhysRevB.96.014112
Abstract
Machine-learning potentials (MLPs) for atomistic simulations are a promising alternative to conventional classical potentials. Current approaches rely on descriptors of the local atomic environment with dimensions that increase quadratically with the number of chemical species. In this article, we demonstrate that such a scaling can be avoided in practice. We show that a mathematically simple and computationally efficient descriptor with constant complexity is sufficient to represent transition-metal oxide compositions and biomolecules containing 11 chemical species with a precision of around 3 meV/atom. This insight removes a perceived bound on the utility of MLPs and paves the way to investigate the physics of previously inaccessible materials with more than ten chemical species.
References in corpus (10)
- Gaussian Approximation Potentials: the accuracy of quantum mechanics, without the electrons
- On representing chemical environments
- Fast and Accurate Modeling of Molecular Atomization Energies with Machine Learning
- A Spectral Analysis Method for Automated Generation of Quantum-Accurate Interatomic Potentials
- Comparing molecules and solids across structural and alchemical space
- How van der Waals interactions determine the unique properties of water
- How to represent crystal structures for machine learning: towards fast prediction of electronic properties
- Generating derivative structures: Algorithm and applications
- Machine Learning Energies of 2 M Elpasolite (ABCD) Crystals
- Metrics for measuring distances in configuration spaces
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