Robust Clustering Using Exponential Power Mixtures

Zhang, Jian (2010) Robust Clustering Using Exponential Power Mixtures. Biometrics, 66 (4). pp. 1078-1086. ISSN 0006-341X. (Access to this publication is restricted)

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http://dx.doi.org/10.1111/j.1541-0420.2010.01389.x

Abstract

Clustering is a widely used method in extracting useful information from gene expression data, where unknown correlation structures in genes are believed to persist even after normalization. Such correlation structures pose a great challenge on the conventional clustering methods, such as the Gaussian mixture (GM) model, k-means (KM), and partitioning around medoids (PAM), which are not robust against general dependence within data. Here we use the exponential power mixture model to increase the robustness of clustering against general dependence and nonnormality of the data. An expectation–conditional maximization algorithm is developed to calculate the maximum likelihood estimators (MLEs) of the unknown parameters in these mixtures. The Bayesian information criterion is then employed to determine the numbers of components of the mixture. The MLEs are shown to be consistent under sparse dependence. Our numerical results indicate that the proposed procedure outperforms GM, KM, and PAM when there are strong correlations or non-Gaussian components in the data.

Item Type: Article
Uncontrolled keywords: Expectation–conditional maximization algorithm; Exponential power mixtures; General dependence; Modelbased clustering; Sparse correlations.
Subjects: Q Science > QA Mathematics (inc Computing science) > QA276 Mathematical statistics
Divisions: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Statistics
Depositing User: Jian Zhang
Date Deposited: 11 Oct 2012 16:40
Last Modified: 25 Feb 2013 14:58
Resource URI: http://kar.kent.ac.uk/id/eprint/31531 (The current URI for this page, for reference purposes)
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