PASCAL - Pattern Analysis, Statistical Modelling and Computational Learning

High-Dimensional Data Clustering
Charles Bouveyron, Stephane Girard and Cordelia Schmid
Computational Statistics and Data Analysis Volume 52, Number 1, pp. 502-519, 2007.


Clustering in high-dimensional spaces is a difficult problem which is recurrent in many domains, for example in image analysis. The difficulty is due to the fact that high-dimensional data usually live in different low-dimensional subspaces hidden in the original space. This paper presents a family of Gaussian mixture models designed for high-dimensional data which combine the ideas of dimension reduction and parsimonious modeling. These models give rise to a clustering method based on the Expectation-Maximization algorithm which is called High-Dimensional Data Clustering (HDDC). In order to correctly fit the data, HDDC estimates the specific subspace and the intrinsic dimension of each group. Our experiments on artificial and real datasets show that HDDC outperforms existing methods for clustering high-dimensional data

EPrint Type:Article
Project Keyword:Project Keyword UNSPECIFIED
Subjects:Learning/Statistics & Optimisation
ID Code:2737
Deposited By:Charles Bouveyron
Deposited On:22 November 2006