A generalized optimal set of discriminant vectors

作者: Ke Liu , Yong-Qing Cheng , Jing-Yu Yang

DOI: 10.1016/0031-3203(92)90136-7

关键词: Applied mathematicsAlgorithmMoore–Penrose pseudoinverseFeature extractionOptimal discriminant analysisDiscriminantSet (abstract data type)Pattern recognition (psychology)Linear discriminant analysisDecomposition method (constraint satisfaction)Mathematics

摘要: Abstract A generalized optimal set of discriminant vectors for linear feature extraction is presented. First, the criteria selecting are introduced, and then a unified solving method derived to solve in both cases large number samples small samples. The experimental results show that present superior Foley-Sammon (Foley Sammon, IEEE Trans. Comput. 24, 281–289 (1975)), positive pseudoinverse (Tian et al., Opt. Engng 25 (7), 834–839 (1986)), perturbation (Hong Yang, Pattern Recognition 24 , 317–324 (1991)), matrix rank decomposition (Cheng 101–111 (1992)) terms correct classification rate.

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