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The direct variational optimization of the two-electron reduced density matrix (2RDM) can provide a reference-independent description of the electronic structure of many-electron systems that naturally captures strong or nondynamic…

Chemical Physics · Physics 2024-06-19 Run R. Li , Marcus D. Liebenthal , A. Eugene DePrince

Exact calculation of electronic properties of molecules is a fundamental step for intelligent and rational compounds and materials design. The intrinsically graph-like and non-vectorial nature of molecular data generates a unique and…

Chemical Physics · Physics 2019-10-29 Alain Tchagang , Julio Valdés

A key problem in the modern study of AI is predicting and understanding emergent capabilities in models during training. Inspired by methods for studying reactions in quantum chemistry, we present the ``2-datapoint reduced density matrix".…

Machine Learning · Computer Science 2026-04-02 Max Hennick , Guillaume Corlouer

Molecular simulations generally require fermionic encoding in which fermion statistics are encoded into the qubit representation of the wave function. Recent calculations suggest that fermionic encoding of the wave function can be bypassed,…

Quantum Physics · Physics 2022-04-18 David A. Mazziotti , Scott E. Smart , Alexander R. Mazziotti

The electron density of a molecule or material has recently received major attention as a target quantity of machine-learning models. A natural choice to construct a model that yields transferable and linear-scaling predictions is to…

Chemical Physics · Physics 2022-06-29 Andrea Grisafi , Alan M. Lewis , Mariana Rossi , Michele Ceriotti

We propose a descriptor for molecular electronic structure that is based solely on the one- and two-electron integrals but is translationally, rotationally, and unitarily invariant. Then, directly exploiting size consistency, we train and…

Quantum Physics · Physics 2026-03-02 Valerii Chuiko , Giovanni B. Da Rosa , Paul W. Ayers

The computation of strongly correlated quantum systems is challenging because of its potentially exponential scaling in the number of electron configurations. Variational calculation of the two-electron reduced density matrix (2-RDM)…

Quantum Physics · Physics 2021-04-01 David A. Mazziotti

Machine learning (ML) plays an important role in quantum chemistry, providing fast-to-evaluate predictive models for various properties of molecules. However, most existing ML models for molecular electronic properties use density…

Chemical Physics · Physics 2024-06-26 Hao Tang , Brian Xiao , Wenhao He , Pero Subasic , Avetik R. Harutyunyan , Yao Wang , Fang Liu , Haowei Xu , Ju Li

We develop a representability-aware and interpolable neural network (NN) framework for predicting two-particle reduced density matrices (2-RDMs). The NN incorporates a subset of representability conditions through its architecture and loss…

Strongly Correlated Electrons · Physics 2026-05-21 Justin B. Hart , Awwab A. Azam , Thomas Li , Yunxuan Li , Ye Bi , Haining Pan , Jiabin Yu

The Kohn-Sham scheme of density functional theory is one of the most widely used methods to solve electronic structure problems for a vast variety of atomistic systems across different scientific fields. While the method is fast relative to…

Most widely used machine learned (ML) potentials for condensed phase applications rely on many-body permutationally invariant polynomial (PIP) or atom-centered neural networks (NN). However, these approaches often lack chemical…

Data-driven techniques are increasingly used to replace electronic-structure calculations of matter. In this context, a relevant question is whether machine learning (ML) should be applied directly to predict the desired properties or be…

Molecular representation is a critical element in our understanding of the physical world and the foundation for modern molecular machine learning. Previous molecular machine learning models have employed strings, fingerprints, global…

Machine Learning · Computer Science 2025-05-28 Daniil A. Boiko , Thiago Reschützegger , Benjamin Sanchez-Lengeling , Samuel M. Blau , Gabe Gomes

Virtual screening can accelerate drug discovery by identifying promising candidates for experimental evaluation. Machine learning is a powerful method for screening, as it can learn complex structure-property relationships from experimental…

Machine Learning · Computer Science 2021-02-22 Simon Axelrod , Rafael Gomez-Bombarelli

The predictive accuracy of Machine Learning (ML) models of molecular properties depends on the choice of the molecular representation. Based on the postulates of quantum mechanics, we introduce a hierarchy of representations which meet…

Chemical Physics · Physics 2016-11-23 Bing Huang , O. Anatole von Lilienfeld

We introduce machine learning models of quantum mechanical observables of atoms in molecules. Instant out-of-sample predictions for proton and carbon nuclear chemical shifts, atomic core level excitations, and forces on atoms reach…

Chemical Physics · Physics 2015-08-26 Matthias Rupp , Raghunathan Ramakrishnan , O. Anatole von Lilienfeld

Machine learning methods have shown promise in predicting molecular properties, and given sufficient training data machine learning approaches can enable rapid high-throughput virtual screening of large libraries of compounds. Graph-based…

Virtually, every ab-initio electronic structure method (Coupled Cluster, DMRG, etc.) can be viewed as an algorithm to compress the ground-state wavefunction. This compression is usually obtained by exploiting some physical structure of the…

Chemical Physics · Physics 2023-04-04 Anderson D. S. Duraes

Recent advances in quantum crystallography have shown that, beyond conventional charge density refinement, a one-electron reduced density matrix (1-RDM) satisfying N-representability conditions can be reconstructed using jointly…

Quantum Physics · Physics 2024-03-04 Sizhuo Yu , Jean-Michel Gillet

Molecular representation learning plays a crucial role in AI-assisted drug discovery research. Encoding 3D molecular structures through Euclidean neural networks has become the prevailing method in the geometric deep learning community.…

Machine Learning · Computer Science 2023-03-29 Yiqun Wang , Yuning Shen , Shi Chen , Lihao Wang , Fei Ye , Hao Zhou