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Can exact conditions improve machine-learned density functionals?

delete2018-06-22
delete43
PRE
AI
J
Jacob Hollingsworth *
L
Li Li
T
Thomas E. Baker
K
Kieron Burke
DOI:10.1063/1.5025668delete
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摘要

摘要

En 中文
Historical methods of functional development in density functional theory have often been guided by analytic conditions that constrain the exact functional one is trying to approximate. Recently, machine-learned functionals have been created by interpolating the results from a small number of exactly solved systems to unsolved systems that are similar in nature. For a simple one-dimensional system, using an exact condition, we find improvements in the learning curves of a machine learning approximation to the non-interacting kinetic energy functional. We also find that the significance of the improvement depends on the nature of the interpolation manifold of the machine-learned functional. Published by AIP Publishing.
Keyword:
QUANTUM
APPROXIMATION
CHEMISTRY
MODEL
DFT
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期刊

Journal of Chemical Physics 封面图
Journal of Chemical Physics
IF:
3.1
论文数:
7.2W
被引数:
23.2W

机构

University of California System 封面图
University of California System
学者数:
37.7W
论文数: 33.8W
被引数: 6.6K
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