On the estimation of probability of error
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摘要
This paper considers the problem of estimation of classification error in pattern recognition. A theorem is presented to obtain the changes in the eigenvalues and eigenvectors of matrices of the form S2−1S1, when there are changes of first order of smallness in the real symmetric matrices Si, i = 1, 2. Based on this theory a computational algorithm is developed for the estimation of classification error of Fisher classifier, using leaving groups out method.
论文关键词：Classification error,Eigenvalues,Eigenvectors,Symmetric matrices,Perturbation,Theorem,Fisher classifier,Leaving groups out method
论文评审过程：Received 15 April 1974, Revised 27 June 1977, Available online 19 May 2003.
论文官网地址：https://doi.org/10.1016/0031-3203(77)90003-6
