Orbital-free bond breaking via machine learning

  • John C. Snyder
    University of California 1 Departments of Chemistry and of Physics, , Irvine, California 92697, USA
  • Matthias Rupp
    ETH Zurich 2 Institute of Pharmaceutical Sciences, , 8093 Zürich, Switzerland
  • Katja Hansen
    Fritz-Haber-Institut der Max-Planck-Gesellschaft 3 , 14195 Berlin, Germany
  • Leo Blooston
    University of California 4 Department of Chemistry, , Irvine, California 92697, USA
  • Klaus-Robert Müller
    Technical University of Berlin 5 Machine Learning Group, , 10587 Berlin, Germany
  • Kieron Burke
    University of California 1 Departments of Chemistry and of Physics, , Irvine, California 92697, USA

書誌事項

公開日
2013-12-10
DOI
  • 10.1063/1.4834075
公開者
AIP Publishing

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説明

<jats:p>Using a one-dimensional model, we explore the ability of machine learning to approximate the non-interacting kinetic energy density functional of diatomics. This nonlinear interpolation between Kohn-Sham reference calculations can (i) accurately dissociate a diatomic, (ii) be systematically improved with increased reference data and (iii) generate accurate self-consistent densities via a projection method that avoids directions with no data. With relatively few densities, the error due to the interpolation is smaller than typical errors in standard exchange-correlation functionals.</jats:p>

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