PS CONVERGENCE OF THE GENERALIZED KOHONEN ALGORITHM

Authors
FORT JC PAGES G
Citation
Jc. Fort et G. Pages, PS CONVERGENCE OF THE GENERALIZED KOHONEN ALGORITHM, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 317(4), 1993, pp. 389-394
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
317
Issue
4
Year of publication
1993
Pages
389 - 394
Database
ISI
SICI code
0764-4442(1993)317:4<389:PCOTGK>2.0.ZU;2-2
Abstract
We extend some existence and stability results of the equilibria of th e one-dimensional Kohonen self-organizing Neural Network with 2 neighb ours to some non-increasing neighbourhood functions. Then (partial) re sults on stability and unstability are obtained in higher dimension, t he first ones, as far as we know, for product distribution functions.