The Annals of Statistics
- Ann. Statist.
- Volume 38, Number 5 (2010), 2678-2722.
Generalized density clustering
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.
Ann. Statist. Volume 38, Number 5 (2010), 2678-2722.
First available in Project Euclid: 11 July 2010
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 62H30: Classification and discrimination; cluster analysis [See also 68T10, 91C20]
Secondary: 62G07: Density estimation
Rinaldo, Alessandro; Wasserman, Larry. Generalized density clustering. Ann. Statist. 38 (2010), no. 5, 2678--2722. doi:10.1214/10-AOS797. https://projecteuclid.org/euclid.aos/1278861457