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Multiclass Linear Dimension Reduction by Weighted Pairwise Fisher Criteria
July 2001 (vol. 23 no. 7)
pp. 762-766

Abstract—We derive a class of computationally inexpensive linear dimension reduction criteria by introducing a weighted variant of the well-known K-class Fisher criterion associated with linear discriminant analysis (LDA). It can be seen that LDA weights contributions of individual class pairs according to the Euclidian distance of the respective class means. We generalize upon LDA by introducing a different weighting function.

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Index Terms:
Linear dimension reduction, Fisher criterion, linear discriminant analysis, Bayes error, approximate pairwise accuracy criterion.
Marco Loog, R.p.w. Duin, R. Haeb-Umbach, "Multiclass Linear Dimension Reduction by Weighted Pairwise Fisher Criteria," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 23, no. 7, pp. 762-766, July 2001, doi:10.1109/34.935849
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