Evaluation of projections, obtained by dimensionality reduction techniques

In this paper, the projection evaluation measures such as stress function, Spearman’s rho, Konig’s topology preservation, silhouette and Renyi entropy have been analyzed. The principal component analysis (PCA) and part–linear multidimensional projection (PLMP) techniques are used to reduce the dimen...

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Bibliographic Details
Main Authors: Kotryna Paulauskienė, Olga Kurasova
Format: Article
Language:English
Published: Vilnius University Press 2014-12-01
Series:Lietuvos Matematikos Rinkinys
Subjects:
Online Access:https://www.journals.vu.lt/LMR/article/view/17697
Description
Summary:In this paper, the projection evaluation measures such as stress function, Spearman’s rho, Konig’s topology preservation, silhouette and Renyi entropy have been analyzed. The principal component analysis (PCA) and part–linear multidimensional projection (PLMP) techniques are used to reduce the dimensionality of the initial data set. The experiments have been carried out with seven real and artificial datasets. The experimental investigation has shown that several quality evaluation measures have to be used when dimension reduction problem is solved.
ISSN:0132-2818
2335-898X