Bayesian error estimation in density-functional theory

We present a practical scheme for performing error estimates for density-functional theory calculations. The approach, which is based on ideas from Bayesian statistics, involves creating an ensemble of exchange-correlation functionals by comparing with an experimental database of binding energies fo...

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Bibliographic Details
Published inPhysical review letters Vol. 95; no. 21; p. 216401
Main Authors Mortensen, J J, Kaasbjerg, K, Frederiksen, S L, Nørskov, J K, Sethna, J P, Jacobsen, K W
Format Journal Article
LanguageEnglish
Published United States 18.11.2005
Subjects
Bayes Theorem
Models, Biological
Models, Chemical
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Summary:We present a practical scheme for performing error estimates for density-functional theory calculations. The approach, which is based on ideas from Bayesian statistics, involves creating an ensemble of exchange-correlation functionals by comparing with an experimental database of binding energies for molecules and solids. Fluctuations within the ensemble can then be used to estimate errors relative to experiment on calculated quantities such as binding energies, bond lengths, and vibrational frequencies. It is demonstrated that the error bars on energy differences may vary by orders of magnitude for different systems in good agreement with existing experience.
ISSN:0031-9007
DOI:10.1103/physrevlett.95.216401