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An impossibility theorem for clusteringby: J. Kleinberg
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AbstractAlthough the study of clustering is centered around an intuitively compelling goal, it has been very di#cult to develop a unified framework for reasoning about it at a technical level, and profoundly diverse approaches to clustering abound in the research community. Here we suggest a formal perspective on the di#culty in finding such a unification, in the form of an impossibility theorem: for a set of three simple properties, we show that there is no clustering function satisfying all...
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