Abstract
AbstractThe paper points at the grieving problems implied by the richness axiom in the Kleinberg’s axiomatic system and suggests resolutions. The richness induces learnability problem in general and leads to conflicts with consistency axiom. As a resolution, learnability constraints and usage of centric consistency or restriction of the domain of considered clusterings to super-ball-clusterings is proposed.KeywordsRichness axiomConsistency axiomCentric consistency axiomClustering algorithmsLearnabilityTheoretical foundations
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