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An optimal transformation for discriminant and principal component analysis

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2 Author(s)
Duchene, J. ; Dept. of Biomed. Eng., Compiegne Univ., France ; Leclercq, S.

A general method is proposed to describe multivariate data sets using discriminant analysis and principal-component analysis. First, the problem of finding K discriminant vectors in an L-class data set is solved and compared to the solution proposed in the literature for two-class problems and the classical solution for L-class data sets. It is shown that the method proposed is better than the classical method for L classes and is a generalization of the optimal set of discriminant vectors proposed for two-class problems. Then the method is combined with a generalized principal-component analysis to permit the user to define the properties of each successive computed vector. All the methods were tested using measurements made on various kinds of flowers (IRIS data)

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Pattern Analysis and Machine Intelligence, IEEE Transactions on  (Volume:10 ,  Issue: 6 )