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Background: Ab initio many-body methods have been developed over the past ten years to address mid-mass nuclei... As progress in the design of inter-nucleon interactions is made, further efforts must be made to tailor many-body methods.…

核理论 · 物理学 2017-02-01 J. Ripoche , D. Lacroix , D. Gambacurta , J. -P. Ebran , T. Duguet

In this paper we present a novel randomized block coordinate descent method for the minimization of a convex composite objective function. The method uses (approximate) partial second-order (curvature) information, so that the algorithm…

最优化与控制 · 数学 2015-05-11 Kimon Fountoulakis , Rachael Tappenden

This article presents a closed-form adaptive controlbarrier-function (CBF) approach for satisfying state constraints in systems with parametric uncertainty. This approach uses a sampled-data recursive-least-squares algorithm to estimate the…

系统与控制 · 电气工程与系统科学 2024-11-21 Ricardo Gutierrez , Jesse B. Hoagg

Typical density functional theory (DFT) and approximations thereto solve the many-electron ground state problem by working from a numerically efficient non-interacting Kohn-Sham reference system; and benefit from useful minimization…

化学物理 · 物理学 2025-04-02 Tim Gould

We propose a Nested BDDC for a class of saddle-point problems. The method solves for both flux and pressure variables. The fluxes are resolved in three-steps: the coarse solve is followed by subdomain solves, and last we look for a…

数值分析 · 数学 2014-07-17 Bedřich Sousedík

We have verified a mechanism for Raman excitation of atoms through continuum levels previously obtained by quantum optimal control using the multi-configurational time-dependent Hartree-Fock (MCTDHF) method. For the optimal control, which…

原子物理 · 物理学 2017-07-19 Loren Greenman , K. Birgitta Whaley , Daniel J. Haxton , C. William McCurdy

We derive analytical nuclear gradients for state-averaged orbital-optimized configuration interaction singles (SACIS) and its spin-projected extension (SAECIS), enabling efficient geometry optimization and minimum-energy conical…

化学物理 · 物理学 2026-04-15 Takashi Tsuchimochi

Configuration Interaction (CI) calculations on the ground state of the C atom are carried out using a small basis set of Slater orbitals [7s6p5d4f3g]. The configurations are selected according to their contribution to the total energy. One…

原子物理 · 物理学 2017-08-01 María Belén Ruiz , Robert Tröger

The total energies of twenty eight bound S-, P-, D-, F-, G-, H-, and I-states in the three-electron systems Li atom and Be+ ion, respectively, are determined with the use of the Configuration Interaction (CI) with Slater orbitals and L-S…

原子物理 · 物理学 2013-08-09 Maria Belen Ruiz , Johannes T. Margraf , Alexei M. Frolov

In this work, we present the first derivation and implementation of analytic gradient methods for the computation of the atomic axial tensors (AATs) required for simulations of vibrational circular dichroism (VCD) spectra using…

化学物理 · 物理学 2025-11-03 Brendan M. Shumberger , T. Daniel Crawford

Numerous numerical studies have shown that geminal-based methods are a promising direction to model strongly correlated systems with low computational costs. Several strategies have been introduced to capture the missing dynamical…

化学物理 · 物理学 2023-03-22 Artur Nowak , Katharina Boguslawski

Data condensation techniques aim to synthesize a compact dataset from a larger one to enable efficient model training, yet while successful in unimodal settings, they often fail in multimodal scenarios where preserving intricate inter-modal…

计算机视觉与模式识别 · 计算机科学 2025-11-12 Yue Min , Shaobo Wang , Jiaze Li , Tianle Niu , Junxin Fan , Yongliang Miao , Lijin Yang , Linfeng Zhang

We describe a convex programming approach to the calculation of lower bounds on the minimum cost of constrained decentralized control problems with nonclassical information structures. The class of problems we consider entail the…

最优化与控制 · 数学 2019-06-05 Weixuan Lin , Eilyan Bitar

This paper investigates the problem of efficient computation of physically consistent multi-contact behaviors. Recent work showed that under mild assumptions, the problem could be decomposed into simpler kinematic and centroidal dynamic…

机器人学 · 计算机科学 2021-02-19 Brahayam Ponton , Majid Khadiv , Avadesh Meduri , Ludovic Righetti

We present a linear-response formulation of density cumulant theory (DCT) that provides a balanced and accurate description of many electronic states simultaneously. In the original DCT formulation, only information about a single…

化学物理 · 物理学 2018-09-10 Andreas V. Copan , Alexander Yu. Sokolov

We study the worst-case behavior of Block Coordinate Descent (BCD) type algorithms for unconstrained minimization of coordinate-wise smooth convex functions. This behavior is indeed not completely understood, and the practical success of…

最优化与控制 · 数学 2025-07-23 Yassine Kamri , François Glineur , Julien M. Hendrickx , Ion Necoara

Block-coordinate descent (BCD) is the method of choice to solve numerous large scale optimization problems, however their theoretical study for non-convex optimization, has received less attention. In this paper, we present a new…

机器学习 · 计算机科学 2026-01-30 Guillaume Lauga

Cyclobutadiene is a well-known playground for theoretical chemists and is particularly suitable to test ground- and excited-state methods. Indeed, due to its high spatial symmetry, especially at the $D_{4h}$ square geometry but also in the…

Quantum-selected configuration interaction (QSCI) is a novel quantum-classical hybrid algorithm for quantum chemistry calculations. This method identifies electron configurations having large weights for the target state using quantum…

化学物理 · 物理学 2025-03-31 Soichi Shirai , Shih-Yen Tseng , Hokuto Iwakiri , Takahiro Horiba , Hirotoshi Hirai , Sho Koh

Methods for correcting residual energy errors of configuration interaction (CI) calculations of molecules and other electronic systems are discussed based on the assumption that the energy defect can be mapped onto atomic regions. The…

化学物理 · 物理学 2022-10-05 Jerry L. Whitten