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Title:      EVALUATION OF PROJECTION TECHNIQUES USING HUBERT’S Γ STATISTICS
Author(s):      Dorina Marghescu
ISBN:      978-972-8924-40-9
Editors:      Jörg Roth, Jairo Gutiérrez and Ajith P. Abraham (series editors: Piet Kommers, Pedro Isaías and Nian-Shing Chen)
Year:      2007
Edition:      Single
Keywords:      Projection techniques, visualization, evaluation, Hubert’s Γ statistic
Type:      Short Paper
First Page:      192
Last Page:      197
Language:      English
Cover:      cover          
Full Contents:      click to dowload Download
Paper Abstract:      Projection techniques reduce the data dimensionality by combining the original variables into a smaller number of new dimensions, in a linear or nonlinear manner. The projection methods are particularly useful because they lend themselves to visual representations of data, when the number of new dimensions is one, two or three. In this paper, the aim is to evaluate different visualization techniques based on projection techniques with respect to their effectiveness in preserving the inherent relationships and structure of the dataset. For this purpose, we investigate the use of the Hubert’s Γ statistics for evaluating the fit between the distance matrices of original data and projected data. Moreover, we investigate the use of the modified Hubert’s Γ statistics for evaluating the effectiveness of projection techniques in preserving the clustering structure inherent in the dataset, if such structure is present.
   

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