Orbital-free bond breaking via machine learning

被引:99
|
作者
Snyder, John C. [1 ,2 ]
Rupp, Matthias [3 ]
Hansen, Katja [4 ]
Blooston, Leo [1 ]
Mueller, Klaus-Robert [5 ,6 ]
Burke, Kieron [1 ,2 ]
机构
[1] Univ Calif Irvine, Dept Chem, Irvine, CA 92697 USA
[2] Univ Calif Irvine, Dept Phys, Irvine, CA 92697 USA
[3] ETH, Inst Pharmaceut Sci, CH-8093 Zurich, Switzerland
[4] Max Planck Gesell, Fritz Haber Inst, D-14195 Berlin, Germany
[5] Tech Univ Berlin, Machine Learning Grp, D-10587 Berlin, Germany
[6] Korea Univ, Dept Brain & Cognit Engn, Seoul 136713, South Korea
来源
JOURNAL OF CHEMICAL PHYSICS | 2013年 / 139卷 / 22期
基金
美国国家科学基金会;
关键词
KINETIC-ENERGY; DENSITY FUNCTIONALS; POTENTIALS;
D O I
10.1063/1.4834075
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
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. (C) 2013 AIP Publishing LLC.
引用
收藏
页数:10
相关论文
共 50 条
  • [1] Kohn-Sham accuracy from orbital-free density functional theory via Δ-machine learning
    Kumar, Shashikant
    Jing, Xin
    Pask, John E.
    Medford, Andrew J.
    Suryanarayana, Phanish
    JOURNAL OF CHEMICAL PHYSICS, 2023, 159 (24):
  • [2] Machine learning nuclear orbital-free density functional based on Thomas-Fermi approach
    Chen, Y. Y.
    Wu, X. H.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS E, 2024, 33 (03N04):
  • [3] Equilibrium Bond Lengths from Orbital-Free Density Functional Theory
    Finzel, Kati
    MOLECULES, 2020, 25 (08):
  • [4] Quantum simulations at the mesoscale via orbital-free density functional theory
    Carter, Emily A.
    ABSTRACTS OF PAPERS OF THE AMERICAN CHEMICAL SOCIETY, 2011, 242
  • [5] Orbital-free quasidensity functional theory
    Benavides-Riveros, Carlos L.
    PHYSICAL REVIEW RESEARCH, 2024, 6 (01):
  • [6] Mechanical Response of Aluminum Nanowires via Orbital-Free Density Functional Theory
    Ho, Gregory S.
    Carter, Emily A.
    JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 2009, 6 (06) : 1236 - 1246
  • [7] Order-N orbital-free density-functional calculations with machine learning of functional derivatives for semiconductors and metals
    Imoto, Fumihiro
    Imada, Masatoshi
    Oshiyama, Atsushi
    PHYSICAL REVIEW RESEARCH, 2021, 3 (03):
  • [8] Orbital-corrected orbital-free density functional theory
    Wang, Yan Alexander
    Zhou, Baojing
    ABSTRACTS OF PAPERS OF THE AMERICAN CHEMICAL SOCIETY, 2007, 233 : 301 - 301
  • [9] Orbital-corrected orbital-free density functional theory
    Zhou, BJ
    Wang, YA
    JOURNAL OF CHEMICAL PHYSICS, 2006, 124 (08):
  • [10] Orbital-free tensor density functional theory
    Ovchinnikov, IV
    Neuhauser, D
    JOURNAL OF CHEMICAL PHYSICS, 2006, 124 (02):