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.
Author: | Ali A. Sadeghi |
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URN: | urn:nbn:de:hbz:386-kluedo-5868 |
Series (Serial Number): | Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (181) |
Document Type: | Preprint |
Language of publication: | English |
Year of Completion: | 1997 |
Year of first Publication: | 1997 |
Publishing Institution: | 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: | Kaiserslautern - Fachbereich Mathematik |
DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
Licence (German): | Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 |