Accelerated Primal-Dual Projection Neurodynamic Approach with time Scaling for Linear and set Constrained Convex Optimization Problems

doi:10.1109/JAS.2024.124380

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	Accelerated Primal-Dual Projection Neurodynamic Approach with time Scaling for Linear and set Constrained Convex Optimization Problems
	You Zhao; Xing He; Mingliang Zhou; Tingwen Huang
发表期刊	IEEE/CAA Journal of Automatica Sinica
ISSN	2329-9266
	2024
卷号	11 期号:6 页码:1485-1498
摘要	The Nesterov accelerated dynamical approach serves as an essential tool for addressing convex optimization problems with accelerated convergence rates. Most previous studies in this field have primarily concentrated on unconstrained smooth convex optimization problems. In this paper, on the basis of primal-dual dynamical approach, Nesterov accelerated dynamical approach, projection operator and directional gradient, we present two accelerated primal-dual projection neurodynamic approaches with time scaling to address convex optimization problems with smooth and nonsmooth objective functions subject to linear and set constraints, which consist of a second-order ODE (ordinary differential equation) or differential conclusion system for the primal variables and a first-order ODE for the dual variables. By satisfying specific conditions for time scaling, we demonstrate that the proposed approaches have a faster convergence rate. This only requires assuming convexity of the objective function. We validate the effectiveness of our proposed two accelerated primal-dual projection neurodynamic approaches through numerical experiments.
关键词	Accelerated projection neurodynamic approach linear and set constraints projection operators smooth and nonsmooth convex optimization time scaling
DOI	10.1109/JAS.2024.124380
引用统计
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/56464
专题	学术期刊_IEEE/CAA Journal of Automatica Sinica
推荐引用方式 GB/T 7714	You Zhao,Xing He,Mingliang Zhou,et al. Accelerated Primal-Dual Projection Neurodynamic Approach with time Scaling for Linear and set Constrained Convex Optimization Problems[J]. IEEE/CAA Journal of Automatica Sinica,2024,11(6):1485-1498.
APA	You Zhao,Xing He,Mingliang Zhou,&Tingwen Huang.(2024).Accelerated Primal-Dual Projection Neurodynamic Approach with time Scaling for Linear and set Constrained Convex Optimization Problems.IEEE/CAA Journal of Automatica Sinica,11(6),1485-1498.
MLA	You Zhao,et al."Accelerated Primal-Dual Projection Neurodynamic Approach with time Scaling for Linear and set Constrained Convex Optimization Problems".IEEE/CAA Journal of Automatica Sinica 11.6(2024):1485-1498.

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