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  4. Learning on-top: Regressing the on-top pair density for real-space visualization of electron correlation
 
research article

Learning on-top: Regressing the on-top pair density for real-space visualization of electron correlation

Fabrizio, Alberto  
•
Briling, Ksenia R.  
•
Girardier, David D.  
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November 28, 2020
Journal Of Chemical Physics

The on-top pair density is a local quantum-chemical property that reflects the probability of two electrons of any spin to occupy the same position in space. Being the simplest quantity related to the two-particle density matrix, the on-top pair density is a powerful indicator of electron correlation effects, and as such, it has been extensively used to combine density functional theory and multireference wavefunction theory. The widespread application of Pi (r) is currently hindered by the need for post-Hartree-Fock or multireference computations for its accurate evaluation. In this work, we propose the construction of a machine learning model capable of predicting the complete active space self-consistent field (CASSCF)-quality on-top pair density of a molecule only from its structure and composition. Our model, trained on the GDB11-AD-3165 database, is able to predict with minimal error the on-top pair density of organic molecules, bypassing completely the need for ab initio computations. The accuracy of the regression is demonstrated using the on-top ratio as a visual metric of electron correlation effects and bond-breaking in real-space. In addition, we report the construction of a specialized basis set, built to fit the on-top pair density in a single atom-centered expansion. This basis, cornerstone of the regression, could be potentially used also in the same spirit of the resolution-of-the-identity approximation for the electron density.

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Type
research article
DOI
10.1063/5.0033326
Web of Science ID

WOS:000596592100002

Author(s)
Fabrizio, Alberto  
Briling, Ksenia R.  
Girardier, David D.  
Corminboeuf, Clemence  
Date Issued

2020-11-28

Publisher

AMER INST PHYSICS

Published in
Journal Of Chemical Physics
Volume

153

Issue

20

Article Number

204111

Subjects

Chemistry, Physical

•

Physics, Atomic, Molecular & Chemical

•

Chemistry

•

Physics

•

functional theory

•

basis-sets

•

perturbation-theory

•

correlation-energy

•

quantum-theory

•

quality

•

accuracy

•

proteins

•

symmetry

•

orbitals

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
LCMD  
Available on Infoscience
December 23, 2020
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/174258
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