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<p><b>Abstract</b>—We derive a class of computationally inexpensive linear dimension reduction criteria by introducing a weighted variant of the well-known <it>K</it>-class <it>Fisher criterion</it> associated with <it>linear discriminant analysis</it> (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.</p>
Linear dimension reduction, Fisher criterion, linear discriminant analysis, Bayes error, approximate pairwise accuracy criterion.

R. Duin, R. Haeb-Umbach and M. Loog, "Multiclass Linear Dimension Reduction by Weighted Pairwise Fisher Criteria," in IEEE Transactions on Pattern Analysis & Machine Intelligence, vol. 23, no. , pp. 762-766, 2001.
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