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Trust region method in neural network

Trust region method in neural network A Hopfield-type neural network with adaptively changing synaptic weights and activation function parameters is presented to solve unconstrained nonlinear programming problems. The network performance is similar to that of the trust region method in the mathematical programming literature. There is a sub-network to solve quadratic programming problems with simple upper and lower bounds. By sequentially activating the sub-network under the control of an externul computer or a special analog or digital processor that adjusts the weights and parameters, the network solves a sequence of unconstrained nonlinear programming problems. Convergence proof and numerical results are given. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Trust region method in neural network

Acta Mathematicae Applicatae Sinica , Volume 13 (4) – Jul 13, 2005

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Publisher
Springer Journals
Copyright
Copyright © 1997 by Science Press, Beijing, China and Allerton Press, Inc., New York, U.S.A.
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/BF02009542
Publisher site
See Article on Publisher Site

Abstract

A Hopfield-type neural network with adaptively changing synaptic weights and activation function parameters is presented to solve unconstrained nonlinear programming problems. The network performance is similar to that of the trust region method in the mathematical programming literature. There is a sub-network to solve quadratic programming problems with simple upper and lower bounds. By sequentially activating the sub-network under the control of an externul computer or a special analog or digital processor that adjusts the weights and parameters, the network solves a sequence of unconstrained nonlinear programming problems. Convergence proof and numerical results are given.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jul 13, 2005

References