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arxiv: 0907.3454 · v3 · pith:AZDSERMSnew · submitted 2009-07-20 · 🧮 math.ST · stat.TH

Generalized density clustering

classification 🧮 math.ST stat.TH
keywords clustersclusteringdensitygeneralizedhighaccuratealgorithmallowed
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We study generalized density-based clustering in which sharply defined clusters such as clusters on lower-dimensional manifolds are allowed. We show that accurate clustering is possible even in high dimensions. We propose two data-based methods for choosing the bandwidth and we study the stability properties of density clusters. We show that a simple graph-based algorithm successfully approximates the high density clusters.

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