New Geometrical Concepts in Fuzzy-ART and Fuzzy-ARTMAP: Category Regions
نویسنده
چکیده
We introduce new geometric concepts regarding categories in Fuuy ART (FA) and Fuuy ARTMAP (FAM), which add a geometric facet to the process of node selection in the F2 layer by patterns. Apart from providing the means to better understand the training and performance phase of these -two architectures, the new concepts, namely the category regions, lead us to interesting theoretical results, when training either architecture. First, we define the Commitment Test as a novelty detection mechanism similar to the Vigilance Test. Next we define various category regions. Via those definitions and 3 derived lemmas we identify areas in the vigilance-choice parameter space, for which 4 results are stated that are applicable to both FA and the FAM classifier training phase.
منابع مشابه
Category regions as new geometrical concepts in Fuzzy-ART and Fuzzy-ARTMAP
In this paper we introduce novel geometric concepts, namely category regions, in the original framework of Fuzzy-ART (FA) and Fuzzy-ARTMAP (FAM). The definitions of these regions are based on geometric interpretations of the vigilance test and the F2 layer competition of committed nodes with uncommitted ones, that we call commitment test. It turns out that not only these regions have the same g...
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