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- Title
Neural Approach for Solving Several Types of Optimization Problems.
- Authors
Da Silva, I. N.; Amaral, W. C.; Arruda, L. V. R.
- Abstract
Neural networks consist of highly interconnected and parallel nonlinear processing elements that are shown to be extremely effective in computation. This paper presents an architecture of recurrent neural networks that can be used to solve several classes of optimization problems. More specifically, a modified Hopfield network is developed and its internal parameters are computed explicitly using the valid-subspace technique. These parameters guarantee the convergence of the network to the equilibrium points, which represent a solution of the problem considered. The problems that can be treated by the proposed approach include combinatorial optimization problems, dynamic programming problems, and nonlinear optimization problems.
- Subjects
ARTIFICIAL neural networks; MATHEMATICAL optimization; MATHEMATICAL models of decision making; MATHEMATICAL programming; INTEGRAL theorems; COMPUTATIONAL complexity; LINEAR systems; LINEAR time invariant systems; POSITIVE systems
- Publication
Journal of Optimization Theory & Applications, 2006, Vol 128, Issue 3, p563
- ISSN
0022-3239
- Publication type
Article
- DOI
10.1007/s10957-006-9032-9