ANALYSIS OF THE CONVERGENCE PROPERTIES OF TOPOLOGY PRESERVING NEURAL NETWORKS - COMMENT

Authors
COTTRELL M FORT JC PAGES G
Citation
M. Cottrell et al., ANALYSIS OF THE CONVERGENCE PROPERTIES OF TOPOLOGY PRESERVING NEURAL NETWORKS - COMMENT, IEEE transactions on neural networks, 6(3), 1995, pp. 797-799
Citations number
8
Categorie Soggetti
Computer Application, Chemistry & Engineering","Engineering, Eletrical & Electronic","Computer Science Artificial Intelligence","Computer Science Hardware & Architecture","Computer Science Theory & Methods
Journal title
IEEE transactions on neural networks → ACNP
ISSN journal
10459227
Volume
6
Issue
3
Year of publication
1995
Pages
797 - 799
Database
ISI
SICI code
1045-9227(1995)6:3<797:AOTCPO>2.0.ZU;2-4
Abstract
We show that the main proofs of this above paper(1) are incomplete and not correct: in fact, the self-organization cannot be achieved if the adaptation parameter satisfies the classical Robins-Monro conditions and Proposition 2 is erroneous. On the other hand, the two-dimensional extension (Theorem 3) is not proved. The main point is that the four classes that the authors consider as stable classes are not stable at all. Same references are finally given.