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On a theoretical comparison between the orthonormal discriminant vector method and discriminant analysis

Authors
Journal
Pattern Recognition
0031-3203
Publisher
Elsevier
Publication Date
Volume
26
Issue
12
Identifiers
DOI: 10.1016/0031-3203(93)90183-w
Keywords
  • Feature Extraction
  • Discriminant Analysis
  • Orthonormal Discriminant Vector Method
  • Performance
  • Fisher Criterion

Abstract

Abstract The performance of the orthonormal discriminant vector (ODV) method is discussed in comparison with discriminant analysis. The ODV method produces the features which maximize the Fisher criterion subject to the orthonormality of features. In contrast with discriminant analysis, the ODV method has no limitation on the maximum number of features to be extracted. From a theoretical viewpoint, it is proved that the ODV method is more powerful than discriminant analysis in terms of the Fisher criterion. The theoretical conclusion is experimentally verified using two real data sets.

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