Beyond Kleinberg’s Impossibility Theorem of Clustering: A Pragmatic Clustering Evaluation Framework

Beyond Kleinberg’s Impossibility Theorem of Clustering: My Study Note of a Pragmatic Clustering Evaluation Framework

This article explores a pragmatic evaluation framework for clustering under the constraint of Kleinberg’s Impossible Theorem of Clustering

In his paper “an Impossibility Theorem of Clustering” published in 2002, Jon Kleinberg articulated that there is no clustering model that can satisfy all three desirable axioms of clustering simultaneously: scale invariance, richness, and consistency. (Kleinberg, 2002)

What do those three …

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