One-layer neural network for solving least absolute deviation problem with box and equality constraints

被引:2
|
作者
Li, Cuiping [1 ,2 ]
Gao, Xingbao [1 ]
机构
[1] Shaanxi Normal Univ, Sch Math & Informat Sci, Xian 710119, Shaanxi, Peoples R China
[2] Northwest Univ Polit Sci & Law, Sch Econ, Xian 710122, Shaanxi, Peoples R China
基金
中国国家自然科学基金;
关键词
Least absolute deviation; Neural network; One-layer; Lyapunov stable; L(1); L(2);
D O I
10.1016/j.neucom.2018.11.037
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper presents a neural network for solving least absolute deviation problems with equality and box constraints. Compared with some existing models, the proposed neural network has fewer state variables and only one-layer structure. The proposed model is proved to be Lyapunov stable and converge to an exact optimal solution of the original problem. Some simulation results show the validity and transient behavior of the proposed neural network. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码:483 / 489
页数:7
相关论文
共 13 条
  • [1] A novel one-layer neural network for solving quadratic programming problems
    Gao, Xingbao
    Du, Lili
    NEURAL NETWORKS, 2025, 187
  • [2] Simplified neural network for generalized least absolute deviation
    Li, Yawei
    Gao, Xingbao
    NEURAL COMPUTING & APPLICATIONS, 2018, 29 (05) : 1455 - 1463
  • [3] Analysis and Application of A One-Layer Neural Network for Solving Horizontal Linear Complementarity Problems
    Xingbao Gao
    Jing Wang
    International Journal of Computational Intelligence Systems, 2014, 7 : 724 - 732
  • [4] Analysis and Application of A One-Layer Neural Network for Solving Horizontal Linear Complementarity Problems
    Gao, Xingbao
    Wang, Jing
    INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS, 2014, 7 (04) : 724 - 732
  • [5] A New One-layer Recurrent Neural Network for Solving Nonsmooth Pseudoconvex Optimization Problems
    Yu Xin
    Lu Huixia
    Wu Lingzhen
    Xu Liuming
    JOURNAL OF ELECTRONICS & INFORMATION TECHNOLOGY, 2021, 43 (08) : 2421 - 2429
  • [6] A New One-Layer Neural Network for Linear and Quadratic Programming
    Gao, Xingbao
    Liao, Li-Zhi
    IEEE TRANSACTIONS ON NEURAL NETWORKS, 2010, 21 (06): : 918 - 929
  • [7] A one-layer recurrent neural network for non-smooth convex optimization subject to linear inequality constraints
    Liu, Xiaolan
    Zhou, Mi
    CHAOS SOLITONS & FRACTALS, 2016, 87 : 39 - 46
  • [8] A new neural network for convex quadratic minimax problems with box and equality constraints
    Gao, Xingbao
    Li, Cuiping
    COMPUTERS & CHEMICAL ENGINEERING, 2017, 104 : 1 - 10
  • [9] A new neural network for solving quadratic programming problems with equality and inequality constraints
    Yang, Yongqing
    Cao, Jinde
    Xu, Xianyun
    Hu, Manfeng
    Gao, Yun
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2014, 101 : 103 - 112
  • [10] Robust time delay estimation of bioelectric signals using least absolute deviation neural network
    Wang, ZS
    He, ZY
    Chen, JDZ
    IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING, 2005, 52 (03) : 454 - 462