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October 2010 Generalized density clustering
Alessandro Rinaldo, Larry Wasserman
Ann. Statist. 38(5): 2678-2722 (October 2010). DOI: 10.1214/10-AOS797

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. "Generalized density clustering." Ann. Statist. 38 (5) 2678 - 2722, October 2010. https://doi.org/10.1214/10-AOS797

Information

Published: October 2010
First available in Project Euclid: 11 July 2010

zbMATH: 1200.62066
MathSciNet: MR2722453
Digital Object Identifier: 10.1214/10-AOS797

Subjects:
Primary: 62H30
Secondary: 62G07

Rights: Copyright © 2010 Institute of Mathematical Statistics

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Vol.38 • No. 5 • October 2010
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