Title
A neurodynamic approach to nonsmooth constrained pseudoconvex optimization problem.
Abstract
This paper presents a new neurodynamic approach for solving the constrained pseudoconvex optimization problem based on more general assumptions. The proposed neural network is equipped with a hard comparator function and a piecewise linear function, which make the state solution not only stay in the feasible region, but also converge to an optimal solution of the constrained pseudoconvex optimization problem. Compared with other related existing conclusions, the neurodynamic approach here enjoys global convergence and lower dimension of the solution space. Moreover, the neurodynamic approach does not depend on some additional assumptions, such as the feasible region is bounded, the objective function is lower bounded over the feasible region or the objective function is coercive. Finally, both numerical illustrations and simulation results in support vector regression problem show the well performance and the viability of the proposed neurodynamic approach.
Year
DOI
Venue
2020
10.1016/j.neunet.2019.12.015
Neural Networks
Keywords
DocType
Volume
Nonsmooth pseudoconvex optimization,Neurodynamic approach,Lyapunov function,Global convergence
Journal
124
Issue
ISSN
Citations 
1
0893-6080
1
PageRank 
References 
Authors
0.36
0
5
Name
Order
Citations
PageRank
Chen Xu126929.36
Yiyuan Chai210.36
Sitian Qin324423.00
Zhenkun Wang411.03
Jiqiang Feng5224.81