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Self-organization property of Kohonen's map with general type of stimuli distribution

  • Here the self-organization property of one-dimensional Kohonen's algorithm in its 2k-neighbour setting with a general type of stimuli distribution and non-increasing learning rate is considered. We prove that the probability of self-organization for all initial values of neurons is uniformly positive. For the special case of a constant learning rate, it implies that the algorithm self-organizes with probability one.

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Author:Ali A. Sadeghi
URN (permanent link):urn:nbn:de:hbz:386-kluedo-5868
Serie (Series number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (181)
Document Type:Preprint
Language of publication:English
Year of Completion:1997
Year of Publication:1997
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2000/04/03
Tag:Kohonen's SOM; Neural networks; one-dimensional self-organization; winner definition
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011