2020
DOI: 10.1063/5.0016005
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Sensitivity and dimensionality of atomic environment representations used for machine learning interatomic potentials

Abstract: Note: This paper is part of the JCP Special Topic on Machine Learning Meets Chemical Physics.

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Cited by 37 publications
(47 citation statements)
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“…Thus, instead of using R 3N -dimensional description of the local atomic environments, one employs a space R D . The dimension of descriptor space commonly ranges from few tens to few thousands [15][16][17]. Most commonly, atomic descriptors encode the local geometry on neighboring atoms using the distances and/or angles between atoms [11,15,18], spectral analysis of local atomic environments [15,18] or a tensorial description of atomic coordinates [19,20].…”
Section: Introductionmentioning
confidence: 99%
“…Thus, instead of using R 3N -dimensional description of the local atomic environments, one employs a space R D . The dimension of descriptor space commonly ranges from few tens to few thousands [15][16][17]. Most commonly, atomic descriptors encode the local geometry on neighboring atoms using the distances and/or angles between atoms [11,15,18], spectral analysis of local atomic environments [15,18] or a tensorial description of atomic coordinates [19,20].…”
Section: Introductionmentioning
confidence: 99%
“…For example, in [68] polycrystalline structures with microstructure properties have been a subject of studies with machine learning and deep learning approaches, combined with multiscale analysis. The interest in machine learning tools for studies of martensitic phase transformations, typical for SMMs, has been growing significantly over recent years [69], and this direction of research has also included various approaches for developing interatomic potentials [70].…”
Section: Data-driven Approaches For Studying Materials With Shape Mem...mentioning
confidence: 99%
“…Representation of atomic structures entails quantifying local structural information in certain mathematical expressions, named descriptors or fingerprints [53] . In order to simulate large systems, the total energy is expressed as a linear combination of the sum of local energy contributions from all the atoms.…”
Section: Representations For Local Atomic Environmentsmentioning
confidence: 99%
“…The selection of D i is of great importance as it can affect the accuracy and efficiency of MLIPs. Several different representations have been proposed in the past decade [53,[56][57][58][59][60][61][62][63][64][65] , including the Gaussian function truncated forms [66] and the spherical harmonic function [62] . optimizations are also applied to select important structures for DFT calculations [52] .…”
Section: Representations For Local Atomic Environmentsmentioning
confidence: 99%
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