Coupled Cluster con MōLe: Molecular Orbital Learning for Neural Wavefunctions

Fuente: arXiv
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Autores principales: Thiede, Luca, Aldossary, Abdulrahman, Burger, Andreas, Campos-Gonzalez-Angulo, Jorge Arturo, Wang, Ning, Zook, Alexander, Alkan, Melisa, Nakaji, Kouhei, Patti, Taylor Lee, Gonthier, Jérôme Florian, Vakili, Mohammad Ghazi, Aspuru-Guzik, Alán
Formato: Preprint
Publicado: 2026
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author Thiede, Luca
Aldossary, Abdulrahman
Burger, Andreas
Campos-Gonzalez-Angulo, Jorge Arturo
Wang, Ning
Zook, Alexander
Alkan, Melisa
Nakaji, Kouhei
Patti, Taylor Lee
Gonthier, Jérôme Florian
Vakili, Mohammad Ghazi
Aspuru-Guzik, Alán
author_facet Thiede, Luca
Aldossary, Abdulrahman
Burger, Andreas
Campos-Gonzalez-Angulo, Jorge Arturo
Wang, Ning
Zook, Alexander
Alkan, Melisa
Nakaji, Kouhei
Patti, Taylor Lee
Gonthier, Jérôme Florian
Vakili, Mohammad Ghazi
Aspuru-Guzik, Alán
contents Density functional theory (DFT) is the most widely used method for calculating molecular properties; however, its accuracy is often insufficient for quantitative predictions. Coupled-cluster (CC) theory is the most successful method for achieving accuracy beyond DFT and for predicting properties that closely align with experiment. It is known as the ''gold standard'' of quantum chemistry. Unfortunately, the high computational cost of CC limits its widespread applicability. In this work, we present the Molecular Orbital Learning (MōLe) architecture, an equivariant machine learning model that directly predicts CC's core mathematical objects, the excitation amplitudes, from the mean-field Hartree-Fock molecular orbitals as inputs. We test various aspects of our model and demonstrate its remarkable data efficiency and out-of-distribution generalization to larger molecules and off-equilibrium geometries, despite being trained only on small equilibrium geometries. Finally, we also examine its ability to reduce the number of cycles required to converge CC calculations. MōLe can set the foundations for high-accuracy wavefunction-based ML architectures to accelerate molecular design and complement force-field approaches.
format Preprint
id arxiv_https___arxiv_org_abs_2602_20232
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Coupled Cluster con MōLe: Molecular Orbital Learning for Neural Wavefunctions
Thiede, Luca
Aldossary, Abdulrahman
Burger, Andreas
Campos-Gonzalez-Angulo, Jorge Arturo
Wang, Ning
Zook, Alexander
Alkan, Melisa
Nakaji, Kouhei
Patti, Taylor Lee
Gonthier, Jérôme Florian
Vakili, Mohammad Ghazi
Aspuru-Guzik, Alán
Machine Learning
Chemical Physics
Density functional theory (DFT) is the most widely used method for calculating molecular properties; however, its accuracy is often insufficient for quantitative predictions. Coupled-cluster (CC) theory is the most successful method for achieving accuracy beyond DFT and for predicting properties that closely align with experiment. It is known as the ''gold standard'' of quantum chemistry. Unfortunately, the high computational cost of CC limits its widespread applicability. In this work, we present the Molecular Orbital Learning (MōLe) architecture, an equivariant machine learning model that directly predicts CC's core mathematical objects, the excitation amplitudes, from the mean-field Hartree-Fock molecular orbitals as inputs. We test various aspects of our model and demonstrate its remarkable data efficiency and out-of-distribution generalization to larger molecules and off-equilibrium geometries, despite being trained only on small equilibrium geometries. Finally, we also examine its ability to reduce the number of cycles required to converge CC calculations. MōLe can set the foundations for high-accuracy wavefunction-based ML architectures to accelerate molecular design and complement force-field approaches.
title Coupled Cluster con MōLe: Molecular Orbital Learning for Neural Wavefunctions
topic Machine Learning
Chemical Physics
url https://arxiv.org/abs/2602.20232