Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.14279/9966
Title: Detecting Clusters in the Data from Variance Decompositions of Its Projections
Authors: Yatracos, Yannis G. 
Major Field of Science: Social Sciences
Field Category: Economics and Business
Keywords: Analysis of variance;Classification;Clusters;Data structures
Issue Date: 23-Jan-2013
Source: Journal of Classification, 2013, vol. 30, no. 1, pp. 30-55
Volume: 30
Issue: 1
Start page: 30
End page: 55
Journal: Journal of Classification 
Abstract: A new projection-pursuit index is used to identify clusters and other structures in multivariate data. It is obtained from the variance decompositions of the data's one-dimensional projections, without assuming a model for the data or that the number of clusters is known. The index is affine invariant and successful with real and simulated data. A general result is obtained indicating that clusters' separation increases with the data's dimension. In simulations it is thus confirmed, as expected, that the performance of the index either improves or does not deteriorate when the data's dimension increases, making it especially useful for "large dimension-small sample size" data. The efficiency of this index will increase with the continuously improved computer technology. Several applications are presented.
URI: https://hdl.handle.net/20.500.14279/9966
ISSN: 14321343
DOI: 10.1007/s00357-013-9124-9
Rights: © Springer
Type: Article
Affiliation : Cyprus University of Technology 
Publication Type: Peer Reviewed
Appears in Collections:Άρθρα/Articles

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