Asymptotic Behaviour of Self-Organizing Maps with Non-Uniform Stimuli Distribution
- Here the almost sure convergence of one dimensional Kohonen" s algorithm in its general form, namely, 2k point neightbour setting with a non-uniform stimuli distribution is proved. We show that the asymptotic behaviour of the algorithm is governed by a cooperative system of differential equations which in general is irreducible. The system of differential equation has an asymptotically stable fixed point which a compact subset of its domain of attraction will be visited by the state variable Xn infinitely often.
Download full text files
Additional Services
| Author: | Ali A. Sadeghi |
|---|---|
| URN: | urn:nbn:de:hbz:386-kluedo-5691 |
| Series (Serial Number): | Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (166) |
| Document Type: | Preprint |
| Language of publication: | English |
| Year of Completion: | 1996 |
| Year of first Publication: | 1996 |
| Publishing Institution: | Technische Universität Kaiserslautern |
| Date of the Publication (Server): | 2000/06/23 |
| 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 |