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Scholars Journal of Physics, Mathematics and Statistics | Volume-4 | Issue-04
A New Dimension Reduction Approach Based on Distance for Mixture Discriminant Analysis of the High-Dimensional Data
Ulku Erisoglu, Aydın Karakoca, Ahmet Pekgor and Murat Erisoglu
Published: Dec. 30, 2017 |
130
86
DOI: 10.21276/sjpms.2017.4.4.9
Pages: 205-210
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Abstract
In this study, we proposed a novel dimension reduction approach for
mixture discriminant analysis on based mixture of multivariate normal distributions of
high-dimensional data. We considered case of a classification problem that the
number of observations ( ) is less than the number of variables ( ). The proposed
approaches compared with classical dimension reduction methods such as F approach,
principal component analysis, clustering of variables and multidimensional scaling.
Keywords: Dimension Reduction, High-dimensional data, Mixture discriminant
analysis, F approach, Clustering of variables, SMACOF