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Traditional data mining starts with the mapping from entities to points in a Euclidean space. The search for patterns and structure is then framed as a geometric search in this space. Concepts like principal component analysis, regression, clustering, and centrality estimation have natural geometric ...

Theoretical and applied research in clustering have often followed separate paths, with only the occasional confluence of interest. In this tutorial, we provide an overview of recent results in the theory of clustering that bridge this divide and are of interest to practitioners. We describe a new a ...