Foley-Sammon鉴别矢量集理论分析及优化模型

The attribute of the maximum of R(ξ) in arbitrary subspace of Rn is discussed dedicatedly. The theory anal-ysis indicates that every F-S discriminant vector is better than respective vector in other discriminant vectors sets,which consist of eigenvectors of sbξ=λswξ. But,the fact that the F-S vectors are statistically correlated degrade the F-S vectors set. Two ways are used to obtain“good“ F-S vectors set. The experiments on Concordia University CEN-PARMI handwritten numeral database suggest that the new vectors set is better than the origin. A new problem mod-el on F-S discriminant vectors set is proposed in this paper. It‘s easily understanding that the problem model is superi-or to the original F-S discriminant vectors set problem model.

The Theory Analysis on FSDVS and an Optimal Model