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Showing papers on "Eigenface published in 1987"


Journal ArticleDOI
TL;DR: In this paper, a gamma probability plotting procedure is proposed to measure the angle between a pair of eigenvectors, or equivalently, the distance between points on the unit sphere defined by such vectors.
Abstract: Principal components analysis is an extensively used tool for reduction of dimensionality in multivariate analyses In many applications, however, little attempt is made to compare principal components solutions (ie, eigenvectors) across many samples Methods are needed for assessing the degree of similarity of corresponding eigenvectors, a problem that is meaningful in the presence of clearly separated eigenvalues This paper proposes a gamma probability plotting procedure for a measure of the angle between a pair of eigenvectors, or equivalently, the distance between points on the unit sphere defined by such vectors One of the vectors in the pair is the principal component of a sample and the other can be either a prespecified vector or a “typical” vector obtained from the corresponding eigenvectors in all samples Simulations, as well as real-data examples, are presented

15 citations