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Title: Representing local atomic environment using descriptors based on local correlations

Abstract

Statistical learning of material properties is an emerging topic of research and has been tremendously successful in areas such as representing complex energy landscapes as well as in technologically relevant areas, like identification of better catalysts and electronic materials. However, analysis of large data sets to efficiently learn characteristic features of a complex energy landscape, for example, depends on the ability of descriptors to effectively screen different local atomic environments. Thus, discovering appropriate descriptors of bulk or defect properties and the functional dependence of such properties on these descriptors remains a difficult and tedious process. To this end, we develop here a framework to generate descriptors based on many-body correlations that can effectively capture intrinsic geometric features of the local environment of an atom. These descriptors are based on the spectrum of two-body, three-body, four-body, and higher order correlations between an atom and its neighbors and are evaluated by calculating the corresponding two-body, three-body, and four-body overlap integrals. They are invariant to global translation, global rotation, reflection, and permutations of atomic indices. By systematically testing the ability to capture the local atomic environment, it is shown that the local correlation descriptors are able to successfully reconstruct structures containing 10-25 atomsmore » which was previously not possible.« less

Authors:
 [1]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States). Physics Division
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1502005
Report Number(s):
LLNL-JRNL-757813
Journal ID: ISSN 0021-9606; 945702
Grant/Contract Number:  
AC52-07NA27344
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
Journal Volume: 149; Journal Issue: 24; Journal ID: ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; 37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; Gaussian processes; interatomic potentials; graph theory; machine learning; artificial neural networks

Citation Formats

Samanta, Amit. Representing local atomic environment using descriptors based on local correlations. United States: N. p., 2018. Web. doi:10.1063/1.5055772.
Samanta, Amit. Representing local atomic environment using descriptors based on local correlations. United States. doi:10.1063/1.5055772.
Samanta, Amit. Wed . "Representing local atomic environment using descriptors based on local correlations". United States. doi:10.1063/1.5055772.
@article{osti_1502005,
title = {Representing local atomic environment using descriptors based on local correlations},
author = {Samanta, Amit},
abstractNote = {Statistical learning of material properties is an emerging topic of research and has been tremendously successful in areas such as representing complex energy landscapes as well as in technologically relevant areas, like identification of better catalysts and electronic materials. However, analysis of large data sets to efficiently learn characteristic features of a complex energy landscape, for example, depends on the ability of descriptors to effectively screen different local atomic environments. Thus, discovering appropriate descriptors of bulk or defect properties and the functional dependence of such properties on these descriptors remains a difficult and tedious process. To this end, we develop here a framework to generate descriptors based on many-body correlations that can effectively capture intrinsic geometric features of the local environment of an atom. These descriptors are based on the spectrum of two-body, three-body, four-body, and higher order correlations between an atom and its neighbors and are evaluated by calculating the corresponding two-body, three-body, and four-body overlap integrals. They are invariant to global translation, global rotation, reflection, and permutations of atomic indices. By systematically testing the ability to capture the local atomic environment, it is shown that the local correlation descriptors are able to successfully reconstruct structures containing 10-25 atoms which was previously not possible.},
doi = {10.1063/1.5055772},
journal = {Journal of Chemical Physics},
number = 24,
volume = 149,
place = {United States},
year = {2018},
month = {12}
}

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Works referenced in this record:

Diffusion maps, spectral clustering and reaction coordinates of dynamical systems
journal, July 2006

  • Nadler, Boaz; Lafon, St�phane; Coifman, Ronald R.
  • Applied and Computational Harmonic Analysis, Vol. 21, Issue 1, p. 113-127
  • DOI: 10.1016/j.acha.2005.07.004