Generalized density clustering

Alessandro Rinaldo; Larry Wasserman

doi:10.1214/10-aos797

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arXiv · 0907.3454

Generalized density clustering

Alessandro Rinaldo·Larry Wasserman

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Abstract

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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Alessandro Rinaldo, Larry Wasserman. 2009-07-20. Generalized density clustering. https://doi.org/10.1214/10-aos797

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