This paper focuses on two ART architectures, the Fuzzy ART and the Fuz
zy ARTMAP. Fuzzy ART is a pattern clustering machine, while Fuzzy ARTM
AP is a pattern classification machine. Our study concentrates on the
order according to which categories in Fuzzy ART, or the ART(a) model
of Fuzzy ARTMAP are chosen. Our work provides a geometrical, and clear
er understanding of why, and in what order, these categories are chose
n for various ranges of the choice parameter of the Fuzzy ART module.
This understanding serves as a powerful tool in developing properties
of learning pertaining to these neural network architectures; to stren
gthen this argument, it is worth mentioning that the order according t
o which categories are chosen in ART 1 and ARTMAP provided a valuable
tool in proving important properties about these architectures. Copyri
ght (C) 1996 Elsevier Science Ltd.