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Toward DMC Accuracy Across Chemical Space with Scalable Δ-QML

Journal Article · · Journal of Chemical Theory and Computation
 [1];  [2];  [3];  [4]
  1. Univ. of Vienna (Austria)
  2. Univ. of Toronto, ON (Canada); Technische Univ. Berlin (Germany); Institute for the Foundations of Learning and Data, Berlin (Germany); Vector Institute for Artificial Intelligence, Toronto, ON (Canada)
  3. Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
  4. Argonne National Laboratory (ANL), Argonne, IL (United States)

In the past decade, quantum diffusion Monte Carlo (DMC) has been demonstrated to successfully predict the energetics and properties of a wide range of molecules and solids by numerically solving the electronic many-body Schrödinger equation. With O(N3) scaling with the number of electrons N, DMC has the potential to be a reference method for larger systems that are not accessible to more traditional methods such as CCSD(T). Assessing the accuracy of DMC for smaller molecules becomes the stepping stone in making the method a reference for larger systems. We show that when coupled with quantum machine learning (QML)-based surrogate methods, the computational burden can be alleviated such that quantum Monte Carlo (QMC) shows clear potential to undergird the formation of high-quality descriptions across chemical space. We discuss three crucial approximations necessary to accomplish this: the fixed-node approximation, universal and accurate references for chemical bond dissociation energies, and scalable minimal amons-set-based QML (AQML) models. Numerical evidence presented includes converged DMC results for over 1000 small organic molecules with up to five heavy atoms used as amons and 50 medium-sized organic molecules with nine heavy atoms to validate the AQML predictions. Finally, numerical evidence collected for Δ-AQML models suggests that already modestly sized QMC training data sets of amons suffice to predict total energies with near chemical accuracy throughout chemical space.

Research Organization:
Argonne National Laboratory (ANL), Argonne, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division (MSE); USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities (SUF); European Research Council (ERC); Swiss National Science Foundation (SNSF)
Grant/Contract Number:
AC02-06CH11357
OSTI ID:
2429573
Journal Information:
Journal of Chemical Theory and Computation, Journal Name: Journal of Chemical Theory and Computation Journal Issue: 6 Vol. 19; ISSN 1549-9618
Publisher:
American Chemical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (50)

Molecular Electronic-Structure Theory book August 2000
The Concept of Strain in Organic Chemistry journal April 1986
P y SCF: the Python-based simulations of chemistry framework : The PySCF program
  • Sun, Qiming; Berkelbach, Timothy C.; Blunt, Nick S.
  • Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 8, Issue 1 https://doi.org/10.1002/wcms.1340
journal September 2017
Quantum Machine Learning in Chemistry and Materials book January 2020
The Materials Data Facility: Data Services to Advance Materials Science Research journal July 2016
Four Generations of High-Dimensional Neural Network Potentials journal March 2021
Ab Initio Machine Learning in Chemical Compound Space journal August 2021
Big Data Meets Quantum Chemistry Approximations: The Δ-Machine Learning Approach journal April 2015
Benchmarks and Reliable DFT Results for Spin Gaps of Small Ligand Fe(II) Complexes journal March 2018
Boosting Quantum Machine Learning Models with a Multilevel Combination Technique: Pople Diagrams Revisited journal December 2018
High-Accuracy Semiempirical Quantum Models Based on a Minimal Training Set journal March 2022
The Nature of the Interlayer Interaction in Bulk and Few-Layer Phosphorus journal November 2015
Multideterminant Wave Functions in Quantum Monte Carlo journal June 2012
Quantum Monte Carlo Methods Describe Noncovalent Interactions with Subchemical Accuracy journal September 2013
Application of Diffusion Monte Carlo to Materials Dominated by van der Waals Interactions journal June 2014
Ab Initio Calculation of Vibrational Absorption and Circular Dichroism Spectra Using Density Functional Force Fields journal November 1994
970 Million Druglike Small Molecules for Virtual Screening in the Chemical Universe Database GDB-13 journal July 2009
Quantum machine learning using atom-in-molecule-based fragments selected on the fly journal September 2020
Quantum chemistry structures and properties of 134 kilo molecules journal August 2014
Equation of State Calculations by Fast Computing Machines journal June 1953
Quantum chemistry by random walk: Higher accuracy journal October 1980
Fixed‐node quantum Monte Carlo for molecules a) b) journal December 1982
Correlated Monte Carlo wave functions for the atoms He through Ne journal September 1990
Density‐functional thermochemistry. III. The role of exact exchange journal April 1993
Toward reliable density functional methods without adjustable parameters: The PBE0 model journal April 1999
Types of single particle symmetry breaking in transition metal oxides due to electron correlation journal March 2013
Communication: Toward an improved control of the fixed-node error in quantum Monte Carlo: The case of the water molecule journal April 2016
Communication: Understanding molecular representations in machine learning: The role of uniqueness and target similarity journal October 2016
Accurate barrier heights using diffusion Monte Carlo journal March 2017
Excitation energies from diffusion Monte Carlo using selected configuration interaction nodes journal July 2018
QMCPACK: Advances in the development, efficiency, and application of auxiliary field and real-space variational and diffusion quantum Monte Carlo journal May 2020
Δ-machine learning for potential energy surfaces: A PIP approach to bring a DFT-based PES to CCSD(T) level of theory journal February 2021
Informing geometric deep learning with electronic interactions to accelerate quantum chemistry journal July 2022
QMCPACK : an open source ab initio quantum Monte Carlo package for the electronic structure of atoms, molecules and solids journal April 2018
Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density journal January 1988
Quantum Monte Carlo applied to solids journal December 2013
Electronic origin of the volume collapse in cerium journal February 2015
Competing collinear magnetic structures in superconducting FeSe by first-principles quantum Monte Carlo calculations journal July 2016
Bias cancellation in one-determinant fixed-node diffusion Monte Carlo: Insights from fermionic occupation numbers journal March 2017
Ground State of the Electron Gas by a Stochastic Method journal August 1980
Generalized Gradient Approximation Made Simple journal October 1996
Partly Occupied Wannier Functions journal January 2005
Alleviation of the Fermion-Sign Problem by Optimization of Many-Body Wave Functions journal March 2007
Ab initio solution of the many-electron Schrödinger equation with deep neural networks journal September 2020
Quantum Monte Carlo simulations of solids journal January 2001
Accurate spin-dependent electron liquid correlation energies for local spin density calculations: a critical analysis journal August 1980
Monte Carlo Methods in Ab Initio Quantum Chemistry book March 1994
Quantum Monte Carlo for the Electronic Structure of Atoms and Molecules journal October 1990
A data ecosystem to support machine learning in materials science journal October 2019
Quantum chemistry structures and properties of 134 kilo molecules collection January 2019

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