Gaussian Process Regression for Materials and Molecules

We provide an introduction to Gaussian process regression (GPR) machine-learning methods in computational materials science and chemistry. The focus of the present review is on the regression of atomistic properties: in particular, on the construction of interatomic potentials, or force fields, in t...

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Published in:Chemical reviews Vol. 121; no. 16; p. 10073
Main Authors: Deringer, Volker L, Bartók, Albert P, Bernstein, Noam, Wilkins, David M, Ceriotti, Michele, Csányi, Gábor
Format: Journal Article
Language:English
Published: United States 25.08.2021
ISSN:1520-6890, 1520-6890
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Abstract We provide an introduction to Gaussian process regression (GPR) machine-learning methods in computational materials science and chemistry. The focus of the present review is on the regression of atomistic properties: in particular, on the construction of interatomic potentials, or force fields, in the Gaussian Approximation Potential (GAP) framework; beyond this, we also discuss the fitting of arbitrary scalar, vectorial, and tensorial quantities. Methodological aspects of reference data generation, representation, and regression, as well as the question of how a data-driven model may be validated, are reviewed and critically discussed. A survey of applications to a variety of research questions in chemistry and materials science illustrates the rapid growth in the field. A vision is outlined for the development of the methodology in the years to come.
AbstractList We provide an introduction to Gaussian process regression (GPR) machine-learning methods in computational materials science and chemistry. The focus of the present review is on the regression of atomistic properties: in particular, on the construction of interatomic potentials, or force fields, in the Gaussian Approximation Potential (GAP) framework; beyond this, we also discuss the fitting of arbitrary scalar, vectorial, and tensorial quantities. Methodological aspects of reference data generation, representation, and regression, as well as the question of how a data-driven model may be validated, are reviewed and critically discussed. A survey of applications to a variety of research questions in chemistry and materials science illustrates the rapid growth in the field. A vision is outlined for the development of the methodology in the years to come.We provide an introduction to Gaussian process regression (GPR) machine-learning methods in computational materials science and chemistry. The focus of the present review is on the regression of atomistic properties: in particular, on the construction of interatomic potentials, or force fields, in the Gaussian Approximation Potential (GAP) framework; beyond this, we also discuss the fitting of arbitrary scalar, vectorial, and tensorial quantities. Methodological aspects of reference data generation, representation, and regression, as well as the question of how a data-driven model may be validated, are reviewed and critically discussed. A survey of applications to a variety of research questions in chemistry and materials science illustrates the rapid growth in the field. A vision is outlined for the development of the methodology in the years to come.
We provide an introduction to Gaussian process regression (GPR) machine-learning methods in computational materials science and chemistry. The focus of the present review is on the regression of atomistic properties: in particular, on the construction of interatomic potentials, or force fields, in the Gaussian Approximation Potential (GAP) framework; beyond this, we also discuss the fitting of arbitrary scalar, vectorial, and tensorial quantities. Methodological aspects of reference data generation, representation, and regression, as well as the question of how a data-driven model may be validated, are reviewed and critically discussed. A survey of applications to a variety of research questions in chemistry and materials science illustrates the rapid growth in the field. A vision is outlined for the development of the methodology in the years to come.
Author Ceriotti, Michele
Bernstein, Noam
Csányi, Gábor
Wilkins, David M
Deringer, Volker L
Bartók, Albert P
Author_xml – sequence: 1
  givenname: Volker L
  orcidid: 0000-0001-6873-0278
  surname: Deringer
  fullname: Deringer, Volker L
  organization: Department of Chemistry, Inorganic Chemistry Laboratory, University of Oxford, Oxford OX1 3QR, United Kingdom
– sequence: 2
  givenname: Albert P
  surname: Bartók
  fullname: Bartók, Albert P
  organization: Department of Physics and Warwick Centre for Predictive Modelling, School of Engineering, University of Warwick, Coventry CV4 7AL, United Kingdom
– sequence: 3
  givenname: Noam
  orcidid: 0000-0002-6532-1337
  surname: Bernstein
  fullname: Bernstein, Noam
  organization: Center for Computational Materials Science, U.S. Naval Research Laboratory, Washington D.C. 20375, United States
– sequence: 4
  givenname: David M
  orcidid: 0000-0003-3739-5512
  surname: Wilkins
  fullname: Wilkins, David M
  organization: Atomistic Simulation Centre, School of Mathematics and Physics, Queen's University Belfast, Belfast BT7 1NN, Northern Ireland, United Kingdom
– sequence: 5
  givenname: Michele
  orcidid: 0000-0003-2571-2832
  surname: Ceriotti
  fullname: Ceriotti, Michele
  organization: National Centre for Computational Design and Discovery of Novel Materials (MARVEL), École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland
– sequence: 6
  givenname: Gábor
  orcidid: 0000-0002-8180-2034
  surname: Csányi
  fullname: Csányi, Gábor
  organization: Engineering Laboratory, University of Cambridge, Cambridge CB2 1PZ, United Kingdom
BackLink https://www.ncbi.nlm.nih.gov/pubmed/34398616$$D View this record in MEDLINE/PubMed
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