Recurrent Algorithms for Selecting the Maximum Input

Author： Koutroumbas Konstantinos  

Publisher： Springer Publishing Company

ISSN： 1370-4621

Source： Neural Processing Letters, Vol.20, Iss.3, 2004-11, pp. : 179-197

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Abstract

In this paper, two novel recurrent algorithms for selecting the maxima of a set S containing M positive real numbers are introduced. In the first one the aim is to determine a threshold T such that only the maxima of S lie above it, while in the second one, each element of S is reduced independently of the rest until either it becomes zero (if it is non-maximum) or it freezes to a positive value (if it is a maximum). Convergence analysis of both schemes as well as neural network implementations of simplified versions of the algorithms are given. Finally, a comparison of the performance of the proposed algorithms with other related methods is carried out.

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