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Selection of the number of clusters via the bootstrap method

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Title: Selection of the number of clusters via the bootstrap method
Author(s): Fang, Yixin; Wang, Junhui
Subject(s): Cluster analysis K-means Spectral clustering Stability
Abstract: Here the problem of selecting the number of clusters in cluster analysis is considered. Recently, the concept of clustering stability, which measures the robustness of any given clustering algorithm, has been utilized in Wang (2010) for selecting the number of clusters through cross validation. In this manuscript, an estimation scheme for clustering instability is developed based on the bootstrap, and then the number of clusters is selected so that the corresponding estimated clustering instability is minimized. The proposed selection criterion’s effectiveness is demonstrated on simulations and real examples.
Issue Date: 2012-03
Publisher: Elsevier
Citation Info: Fang, Y. X. & Wang, J. H. 2012. Selection of the number of clusters via the bootstrap method. Computational Statistics & Data Analysis, 56(3): 468-477. DOI: 10.1016/j.csda.2011.09.003
Type: Article
Description: NOTICE: this is the author’s version of a work that was accepted for publication in Computational Statistics and Data Analysis. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Computational Statistics and Data Analysis, Vol 56, Issue 3, (MAR 1 2012). DOI: 10.1016/j.csda.2011.09.003
URI: http://hdl.handle.net/10027/8612
ISSN: 0167-9473
Date Available in INDIGO: 2012-08-21
 

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