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A study has been made on an extreme case of generalized optimal set of discriminant vectors. Equivalence between the generalized K–L transformation and the generalized optimal discriminant transformation is proved under the condition that the population scatter matrix of training samples is nonsingular. A new algorithm for determining the generalized optimal set of discriminant vectors is proposed...
In this paper, a reformative kernel Fisher discriminant (KFD) algorithm with fuzzy set theory is studied. The KFD algorithm is effective to extract nonlinear discriminative features of input samples using the kernel trick. However, the conventional KFD algorithm assumes the same level of relevance of each sample to the corresponding class. In this paper, a fuzzy kernel Fisher discriminant (FKFD) algorithm...
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