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This paper introduces a new concept of designing a discriminant analysis method (discriminator), which starts from a local mean based nearest neighbor (LM-NN) classifier and uses its decision rule to direct the design of a discriminator. The derived discriminator, called local mean based nearest neighbor discriminator (LM-NND), matches the LM-NN classifier optimally in theory. The proposed LM-NND...
This paper introduces the minimal local reconstruction error (MLRE) as a similarity measure and presents a MLRE-based classier. From the geometric meaning of the minimal local reconstruction error, we derive that the MLRE-based classifier is a generalization of the conventional nearest neighbor classier and the nearest neighbor line and plane classifiers. We further apply the MLRE measure to characterize...
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