21 March 2001 Ellipsoid ART and ARTMAP for incremental unsupervised and supervised learning
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Abstract
We introduce Ellipsoid-ART, EA and Ellipsoid-ARTMAP, EAM as a generalization of Hyper-sphere ART and Hypersphere-ARTMAP respectively. Our novel archetectures are based on ideas rooted on Fuzzy-ART, FA and Fuzzy-ARTMAP, FAM. While FA/FAM summarize input data using hyper-rectangles, EA/EAM utilize hyper-ellipsoids for the same purpose. Due to their learning rules, EA and EAM share virtually all properties and characteristics of their FA/FAM counterparts. Preliminary experimentation implies that EA and EAM are to be viewed as good alternatives to FA and FAM for data clustering and classification tasks. Extensive pseudo-code is provided in the appendices for computationally efficient implementations of EA/EAM training and performance phases.
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Georgios C. Anagnostopoulos, Georgios C. Anagnostopoulos, Michael Georgiopoulos, Michael Georgiopoulos, "Ellipsoid ART and ARTMAP for incremental unsupervised and supervised learning", Proc. SPIE 4390, Applications and Science of Computational Intelligence IV, (21 March 2001); doi: 10.1117/12.421180; https://doi.org/10.1117/12.421180
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