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In this paper, we apply the coordinate increment discrete gradient (CIDG) method to solve the Lorentz force system which can be written as a non-canonical Hamiltonian system. Then we can obtain a new energy-preserving CIDG-I method for the…

数值分析 · 数学 2024-03-28 Yexin Li , Ping Jiang , Haochen Li

In the pursuit of accurate descriptions of strongly correlated quantum many-body systems, dynamical mean-field theory (DMFT) has been an invaluable tool for elucidating the spectral properties and quantum phases of both phenomenological…

强关联电子 · 物理学 2019-10-07 Carlos Mejuto-Zaera , Norm M. Tubman , K. Birgitta Whaley

Motion planning for robotic manipulators is a fundamental problem in robotics. Classical optimization-based methods typically rely on the gradients of signed distance fields (SDFs) to impose collision-avoidance constraints. However, these…

机器人学 · 计算机科学 2025-09-18 Yulin Li , Tetsuro Miyazaki , Kenji Kawashima

A zero-area four-blade perfect crystal neutron interferometer (NI) possess a decoherence-free subspace (DFS) for low-frequency mechanical vibrations and thus is easier to site. %has the potential to broaden the application of crystal-based…

量子物理 · 物理学 2019-04-17 J. Nsofini , D. Sarenac , D. G. Cory , D. A. Pushin

In this paper we propose a parallel coordinate descent algorithm for solving smooth convex optimization problems with separable constraints that may arise e.g. in distributed model predictive control (MPC) for linear network systems. Our…

最优化与控制 · 数学 2014-11-19 Ion Necoara , Dragos Clipici

This paper deals with convex nonsmooth optimization problems. We introduce a general smooth approximation framework for the original function and apply random (accelerated) coordinate descent methods for minimizing the corresponding smooth…

最优化与控制 · 数学 2024-01-10 Flavia Chorobura , Ion Necoara

High-precision atomic structure calculations require accurate modelling of electronic correlations typically addressed via the configuration interaction (CI) problem on a multiconfiguration wave function expansion. The latter can easily…

原子物理 · 物理学 2023-06-22 Pavlo Bilous , Adriana Pálffy , Florian Marquardt

In this article, we focus on solving a class of distributed optimization problems involving $n$ agents with the local objective function at every agent $i$ given by the difference of two convex functions $f_i$ and $g_i$…

最优化与控制 · 数学 2024-07-25 Vivek Khatana , Murti V. Salapaka

This paper proposes a new decentralized conjugate gradient (NDCG) method and a decentralized memoryless BFGS (DMBFGS) method for the nonconvex and strongly convex decentralized optimization problem, respectively, of minimizing a finite sum…

最优化与控制 · 数学 2025-01-20 Liping Wang , Hao Wu , Hongchao Zhang

We suggest an efficient method to resolve electronic cusps in electronic structure calculations by using an effective transcorrelated Hamiltonian. This effective Hamiltonian takes a simple form for plane wave bases, containing up to…

计算物理 · 物理学 2018-02-14 Hongjun Luo , Ali Alavi

A fundamental difficulty in all-in-one blind image restoration is that degradation is usually treated as an implicit factor hidden in degraded-to-clean mapping, rather than as an explicit object that can be measured and manipulated. This…

计算机视觉与模式识别 · 计算机科学 2026-05-19 Xinghua Huang , Zhixiong Yang , Chen Wu , Shengxi Li , Shuaifeng Zhi , Yue Zhang , Qibin Hou , Xin Deng , Jingyuan Xia

Quantum Monte Carlo (QMC) methods are some of the most accurate methods for simulating correlated electronic systems. We investigate the compatibility, strengths and weaknesses of two such methods, namely, diffusion Monte Carlo (DMC) and…

In this work, we are concerned with the decentralized optimization problem: \begin{equation*} \min_{x \in \Omega}~f(x) = \frac{1}{n} \sum_{i=1}^n f_i (x), \end{equation*} where $\Omega \subset \mathbb{R}^d$ is a convex domain and each $f_i…

最优化与控制 · 数学 2024-05-14 Woocheol Choi , Jimyeong Kim

This work proposes a novel and unified sparse recovery framework, termed the difference of convex Elastic Net (DCEN). This framework effectively balances strong sparsity promotion with solution stability, and is particularly suitable for…

最优化与控制 · 数学 2026-04-03 Lang Yu , Nanjing Huang

In this work, we report an algorithm that is able to tailor qubit interactions for individual variational quantum algorithm problems. Here, the algorithm leverages the unique ability of a neutral atom tweezer platform to realize arbitrary…

量子物理 · 物理学 2026-03-04 Robert de Keijzer , Luke Visser , Oliver Tse , Servaas Kokkelmans

We propose using the wave function generated by the quantum selected configuration interaction (QSCI) method as the trial wave function in phaseless auxiliary-field quantum Monte Carlo (ph-AFQMC). In the QSCI framework, electronic…

Prediction-correction algorithms are a highly effective class of methods for solving pseudo-convex optimization problems. The descent direction of these algorithms can be viewed as an adjustment to the gradient direction based on the…

最优化与控制 · 数学 2025-12-05 Ting Li , Deren Han , Tanxing Wang , Xingju Cai

This paper explores the novel concept of damping controller coordination, which aims to minimize the Total Action metric by identifying an optimal switching combination (on/off) of these controllers. The metric is rooted in power system…

系统与控制 · 电气工程与系统科学 2024-05-03 Francisco Zelaya-Arrazabal , Hector Pulgar-Painemal , Jingzi Liu , Horacio Silva-Saravia , Fangxing Li

The recently developed Doubles Connected Moments (DCM) expansion offers a tractable approach for computing correlation energy, exhibiting an noniterative O(N^6) scaling with system size N. Benchmark calculations on a set of molecules…

化学物理 · 物理学 2026-05-12 Chongxiao Zhao , Wenjie Dou

We propose AEGD, a new algorithm for first-order gradient-based optimization of non-convex objective functions, based on a dynamically updated energy variable. The method is shown to be unconditionally energy stable, irrespective of the…

最优化与控制 · 数学 2021-10-04 Hailiang Liu , Xuping Tian