An Extended Projection Neural Network for Constrained Optimization

Authors:
Youshen Xia
Affiliations:
Department of Applied Mathematics, Nanjing University of Posts and Telecommunications, China
Venue:
Neural Computation
Year:
2004

Citing 16
Cited 23

Parallel and distributed computation: numerical methods

Parallel and distributed computation: numerical methods
Multilayer feedforward networks are universal approximators

Neural Networks
Finite-dimensional variational inequality and nonlinear complementarity problems: a survey of theory, algorithms and applications

Mathematical Programming: Series A and B
Learning internal representations by error propagation

Parallel distributed processing: explorations in the microstructure of cognition, vol. 1
Original Contribution: Principal components, minor components, and linear neural networks

Neural Networks
Original Contribution: Solving inequality constrained combinatorial optimization problems by the hopfield neural networks

Neural Networks
Neural networks for optimization problems with inequality constraints: the knapsack problem

Neural Computation
Modified Projection-Type Methods for Monotone Variational Inequalities

SIAM Journal on Control and Optimization
Engineering and Economic Applications of Complementarity Problems

SIAM Review
Mathematical Methods for Neural Network Analysis and Design

Mathematical Methods for Neural Network Analysis and Design
Modelling and Control of Robot Manipulators

Modelling and Control of Robot Manipulators
Neural Networks for Optimization and Signal Processing

Neural Networks for Optimization and Signal Processing
On the Synthesis of Brain-State-in-a-Box Neural Models with Application to Associative Memory

Neural Computation
A dual neural network for kinematic control of redundant robotmanipulators

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
A new neural network for solving linear programming problems and its application

IEEE Transactions on Neural Networks
A new neural network for solving linear and quadratic programming problems

IEEE Transactions on Neural Networks

On Convergence Conditions of an Extended Projection Neural Network

Neural Computation
A novel neural network for a class of convex quadratic minimax problems

Neural Computation
A new neural network for solving nonlinear projection equations

Neural Networks
On exponential convergence conditions of an extended projection neural network

Neural Computation
Letters: Recurrent neural network model for computing largest and smallest generalized eigenvalue

Neurocomputing
Solving Variational Inequality Problems with Linear Constraints Based on a Novel Recurrent Neural Network

ISNN '07 Proceedings of the 4th international symposium on Neural Networks: Advances in Neural Networks, Part III
Cooperative Recurrent Neural Network for Multiclass Support Vector Machine Learning

ISNN 2009 Proceedings of the 6th International Symposium on Neural Networks: Advances in Neural Networks - Part II
Another Simple Recurrent Neural Network for Quadratic and Linear Programming

ISNN 2009 Proceedings of the 6th International Symposium on Neural Networks: Advances in Neural Networks - Part III
A new projection-based neural network for constrained variational inequalities

IEEE Transactions on Neural Networks
A new recurrent neural network for solving convex quadratic programming problems with an application to the k-winners-take-all problem

IEEE Transactions on Neural Networks
A novel neural dynamical approach to convex quadratic program and its efficient applications

Neural Networks
Solving convex optimization problems using recurrent neural networks in finite time

IJCNN'09 Proceedings of the 2009 international joint conference on Neural Networks
An alternative recurrent neural network for solving variational inequalities and related optimization problems

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Notes on "Recurrent neural network model for computing largest and smallest generalized eigenvalue"

Neurocomputing
A new one-layer neural network for linear and quadratic programming

IEEE Transactions on Neural Networks
Another neural network based approach for computing eigenvalues and eigenvectors of real skew-symmetric matrices

Computers & Mathematics with Applications
A novel recurrent neural network with finite-time convergence for linear programming

Neural Computation
State estimation for static neural networks with time-varying delay

Neural Networks
Guaranteed performance state estimation of static neural networks with time-varying delay

Neurocomputing
A deterministic annealing algorithm for the minimum concave cost network flow problem

Neural Networks
Letters: A compact neural network for training support vector machines

Neurocomputing
A new neural network for solving nonlinear convex programs with linear constraints

Neurocomputing
Using Laplacian Eigenmap as Heuristic Information to Solve Nonlinear Constraints Defined on a Graph and Its Application in Distributed Range-Free Localization of Wireless Sensor Networks

Neural Processing Letters

Quantified Score

Hi-index	0.00

Visualization

Abstract

Recently, a projection neural network has been shown to be a promising computational model for solving variational inequality problems with box constraints. This letter presents an extended projection neural network for solving monotone variational inequality problems with linear and nonlinear constraints. In particular, the proposed neural network can include the projection neural network as a special case. Compared with the modified projection-type methods for solving constrained monotone variational inequality problems, the proposed neural network has a lower complexity and is suitable for parallel implementation. Furthermore, the proposed neural network is theoretically proven to be exponentially convergent to an exact solution without a Lipschitz condition. Illustrative examples show that the extended projection neural network can be used to solve constrained monotone variational inequality problems.