Ellipsoid ART and ARTMAP for incremental clustering and classification
Georgios C. Anagnostopoulos, Michael Georgiopoulos · 2002
We introduce ellipsoid-ART (EA) and ellipsoid-ARTMAP (EAM) as a generalization of hypersphere ART (HA) and hypersphere-ARTMAP (HAM) respectively. As was the case with HA/HAM, these novel architectures are based on ideas rooted in fuzzy-ART (FA) and fuzzy-ARTMAP (FAM). While FA/FAM aggregate 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 respectively.