Order of Search in Fuzzy ART and Fuzzy ARTMAP: Effect of the Choice Parameter

• Published in: Neural networks Vol. 9; no. 9; pp. 1541 - 1559
• Main Authors: Georgiopoulos, Michael, Fernlund, Hans, Bebis, George, Heileman, Gregory L.
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01.12.1996; Elsevier Science
• Subjects: Adaptive resonance theory; Applied sciences; Artificial intelligence; Classification; Clustering; Computer science; control theory; systems; Connectionism. Neural networks; Exact sciences and technology; Fuzzy ART; Fuzzy ARTMAP; Learning; Neural network; Learning; Fuzzy ART; Adaptive resonance theory; Classification; Neural network; Clustering; Fuzzy ARTMAP; Cluster analysis; System architecture; Fuzzy system; Adaptive system; Pattern recognition
• ISSN: 0893-6080; 1879-2782
• DOI: 10.1016/S0893-6080(96)00018-4

This paper focuses on two ART architectures, the Fuzzy ART and the Fuzzy ARTMAP. Fuzzy ART is a pattern clustering machine, while Fuzzy ARTMAP 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 clearer understanding of why, and in what order, these categories are chosen 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 strengthen this argument, it is worth mentioning that the order according to which categories are chosen in ART 1 and ARTMAP provided a valuable tool in proving important properties about these architectures. Copyright © 1996 Elsevier Science Ltd.