U.S. Department of EnergyOffice of Scientific and Technical Information
mBEEF-vdW: Robust fitting of error estimation density functionals
Abstract
Here, we propose a general-purpose semilocal/nonlocal exchange-correlation functional approximation, named mBEEF-vdW. The exchange is a meta generalized gradient approximation, and the correlation is a semilocal and nonlocal mixture, with the Rutgers-Chalmers approximation for van der Waals (vdW) forces. The functional is fitted within the Bayesian error estimation functional (BEEF) framework. We improve the previously used fitting procedures by introducing a robust MM-estimator based loss function, reducing the sensitivity to outliers in the datasets. To more reliably determine the optimal model complexity, we furthermore introduce a generalization of the bootstrap 0.632 estimator with hierarchical bootstrap sampling and geometric mean estimator over the training datasets. Using this estimator, we show that the robust loss function leads to a 10% improvement in the estimated prediction error over the previously used least-squares loss function. The mBEEF-vdW functional is benchmarked against popular density functional approximations over a wide range of datasets relevant for heterogeneous catalysis, including datasets that were not used for its training. Overall, we find that mBEEF-vdW has a higher general accuracy than competing popular functionals, and it is one of the best performing functionals on chemisorption systems, surface energies, lattice constants, and dispersion. We also show the potential-energy curve of graphene onmore »
- Authors:
-
- Stanford Univ., Stanford, CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Technical Univ. of Denmark, Lyngby (Denmark)
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Publication Date:
- Research Org.:
- SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1349403
- Alternate Identifier(s):
- OSTI ID: 1259991
- Grant/Contract Number:
- AC02-76SF00515
- Resource Type:
- Journal Article: Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 93; Journal Issue: 23; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE
Citation Formats
Lundgaard, Keld T., Wellendorff, Jess, Voss, Johannes, Jacobsen, Karsten W., and Bligaard, Thomas. mBEEF-vdW: Robust fitting of error estimation density functionals. United States: N. p., 2016.
Web. doi:10.1103/PhysRevB.93.235162.
Lundgaard, Keld T., Wellendorff, Jess, Voss, Johannes, Jacobsen, Karsten W., & Bligaard, Thomas. mBEEF-vdW: Robust fitting of error estimation density functionals. United States. https://doi.org/10.1103/PhysRevB.93.235162
Lundgaard, Keld T., Wellendorff, Jess, Voss, Johannes, Jacobsen, Karsten W., and Bligaard, Thomas. 2016.
"mBEEF-vdW: Robust fitting of error estimation density functionals". United States. https://doi.org/10.1103/PhysRevB.93.235162. https://www.osti.gov/servlets/purl/1349403.
@article{osti_1349403,
title = {mBEEF-vdW: Robust fitting of error estimation density functionals},
author = {Lundgaard, Keld T. and Wellendorff, Jess and Voss, Johannes and Jacobsen, Karsten W. and Bligaard, Thomas},
abstractNote = {Here, we propose a general-purpose semilocal/nonlocal exchange-correlation functional approximation, named mBEEF-vdW. The exchange is a meta generalized gradient approximation, and the correlation is a semilocal and nonlocal mixture, with the Rutgers-Chalmers approximation for van der Waals (vdW) forces. The functional is fitted within the Bayesian error estimation functional (BEEF) framework. We improve the previously used fitting procedures by introducing a robust MM-estimator based loss function, reducing the sensitivity to outliers in the datasets. To more reliably determine the optimal model complexity, we furthermore introduce a generalization of the bootstrap 0.632 estimator with hierarchical bootstrap sampling and geometric mean estimator over the training datasets. Using this estimator, we show that the robust loss function leads to a 10% improvement in the estimated prediction error over the previously used least-squares loss function. The mBEEF-vdW functional is benchmarked against popular density functional approximations over a wide range of datasets relevant for heterogeneous catalysis, including datasets that were not used for its training. Overall, we find that mBEEF-vdW has a higher general accuracy than competing popular functionals, and it is one of the best performing functionals on chemisorption systems, surface energies, lattice constants, and dispersion. We also show the potential-energy curve of graphene on the nickel(111) surface, where mBEEF-vdW matches the experimental binding length. mBEEF-vdW is currently available in gpaw and other density functional theory codes through Libxc, version 3.0.0.},
doi = {10.1103/PhysRevB.93.235162},
url = {https://www.osti.gov/biblio/1349403},
journal = {Physical Review B},
issn = {2469-9950},
number = 23,
volume = 93,
place = {United States},
year = {Wed Jun 15 00:00:00 EDT 2016},
month = {Wed Jun 15 00:00:00 EDT 2016}
}
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