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Related papers: Adaptive atomic basis sets

200 papers

A simple yet general method for constructing basis sets for molecular electronic structure calculations is presented. These basis sets consist of atomic natural orbitals from a multi-configurational self-consistent field calculation…

Materials Science · Physics 2015-05-19 F. R. Petruzielo , Julien Toulouse , C. J. Umrigar

Basis sets are a crucial but often largely overlooked choice when setting up quantum chemistry calculations. The choice of basis set can be critical in determining the accuracy and calculation time of your quantum chemistry calculations.…

Quantum simulation of chemical systems is one of the most promising near-term applications of quantum computers. The variational quantum eigensolver, a leading algorithm for molecular simulations on quantum hardware, has a serious…

Quantum Physics · Physics 2019-07-16 Harper R. Grimsley , Sophia E. Economou , Edwin Barnes , Nicholas J. Mayhall

Molecular-orbital-based machine learning (MOB-ML) enables the prediction of accurate correlation energies at the cost of obtaining molecular orbitals. Here, we present the derivation, implementation, and numerical demonstration of MOB-ML…

Chemical Physics · Physics 2021-04-07 Sebastian J. R. Lee , Tamara Husch , Feizhi Ding , Thomas F. Miller

Statistical learning methods show great promise in providing an accurate prediction of materials and molecular properties, while minimizing the need for computationally demanding electronic structure calculations. The accuracy and…

Materials Science · Physics 2018-01-24 Andrea Grisafi , David M. Wilkins , Gábor Csányi , Michele Ceriotti

A general procedure for the optimization of atomic density-fitting basis functions is designed with the balance between accuracy and numerical stability in mind. Given one-electron wavefunctions and energies, weights are assigned to the…

Chemical Physics · Physics 2020-10-13 Dimitri N. Laikov

We present an approach for augmenting Gaussian atomic orbitals with correct nuclear cusps. Like the atomic orbital basis set itself, and unlike previous cusp corrections, this approach is independent of the many-body method used to prepare…

Chemical Physics · Physics 2024-12-06 Trine Kay Quady , Sonja Bumann , Eric Neuscamman

We present an exhaustive study of more than 250 ab initio potential energy surfaces (PESs) of the model dipeptide HCO-L-Ala-NH2. The model chemistries (MCs) used are constructed as homo- and heterolevels involving possibly different RHF and…

Quantitative Methods · Quantitative Biology 2013-06-21 Pablo Echenique , J. L. Alonso

Electronic structure methods for accurate calculation of molecular properties have a high cost that grows steeply with the problem size, therefore, it is helpful to have the underlying atomic basis functions that are less in number but of…

Chemical Physics · Physics 2019-03-15 Dimitri N. Laikov

We introduce a method for solving a self consistent electronic calculation within localized atomic orbitals, that allows us to converge to the complete basis set (CBS) limit in a stable, controlled, and systematic way. We compare our…

Strongly Correlated Electrons · Physics 2015-05-19 S. Azadi , C. Cavazzoni , S. Sorella

Large atomic-orbital (AO) basis sets of at least triple and preferably quadruple-zeta (QZ) size are required to adequately converge Kohn-Sham density functional theory (DFT) calculations towards the complete basis set limit. However,…

Chemical Physics · Physics 2025-12-02 Anthony O. Lara , Justin J. Talbot , Zhe Wang , Martin Head-Gordon

We present a machine learning (ML) method for predicting electronic structure correlation energies using Hartree-Fock input.The total correlation energy is expressed in terms of individual and pair contributions from occupied molecular…

Chemical Physics · Physics 2018-10-16 Matthew Welborn , Lixue Cheng , Thomas F. Miller

Leveraging ab initio data at scale has enabled the development of machine learning models capable of extremely accurate and fast molecular property prediction. A central paradigm of many previous works focuses on generating predictions for…

Computational Physics · Physics 2022-11-30 Kirill Shmilovich , Devin Willmott , Ivan Batalov , Mordechai Kornbluth , Jonathan Mailoa , J. Zico Kolter

We introduce and explore an approach for constructing force fields for small molecules, which combines intuitive low body order empirical force field terms with the concepts of data driven statistical fits of recent machine learned…

Chemical Physics · Physics 2020-10-26 Alice Allen , Gábor Csányi , Geneviève Dusson , Christoph Ortner

Machine learning (ML) in the representation of molecular-orbital-based (MOB) features has been shown to be an accurate and transferable approach to the prediction of post-Hartree-Fock correlation energies. Previous applications of MOB-ML…

Chemical Physics · Physics 2023-03-28 Lixue Cheng , Nikola B. Kovachki , Matthew Welborn , Thomas F. Miller

We perform several numerical studies for our recently published adaptive compressive tomography scheme [D. Ahn et al. Phys. Rev. Lett. 122, 100404 (2019)], which significantly reduces the number of measurement settings to unambiguously…

Quantum Physics · Physics 2019-07-31 D. Ahn , Y. S. Teo , H. Jeong , D. Koutny , J. Rehacek , Z. Hradil , G. Leuchs , L. L. Sanchez-Soto

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

Classical simulation of many-body quantum systems remains economical only when wavefunction amplitudes stay localized in the working basis. Fixed-basis sparse-state simulators scale memory as $\mathcal{O}(k)$ by keeping the largest…

Quantum Physics · Physics 2026-05-27 Ch Nihar Kartikeya , Anjana K , Bijita Sarma , Sangkha Borah

Machine-learned interatomic potentials are revolutionising atomistic materials simulations by providing accurate and scalable predictions within the scope covered by the training data. However, generation of an accurate and robust training…

Materials Science · Physics 2025-07-30 Mariia Radova , Wojciech G. Stark , Connor S. Allen , Reinhard J. Maurer , Albert P. Bartók

We present a fully numerical framework for the optimization of molecule-specific quantum chemical basis functions within the quantics tensor train format using a finite-difference scheme. The optimization is driven by solving the…

Chemical Physics · Physics 2025-06-12 Paul Haubenwallner , Matthias Heller