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| An Optimal Method on Uncorrelated Discriminant Vectors Based on Perturbation Analysis |
| WANG WeiDong1,2, ZHENG YuJie1, YANG JingYu1 |
1.Department of Computer Science, Nanjing University of Science and Technology, Nanjing 210094
2.School of Electronics and Information, Jiangsu University of Science and Technology, Zhenjiang 212003 |
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Abstract This paper, on the basis of uncorrelated image projection discriminant analysis, focuses on perturbation features of eigenvalue and eigenvector, pointing out eigenvector of morbid eigenvalue may be perturbed to a great degree. So, if the eigenvector is used as a projection axis to project, the feature vectors achieved cannot provide valid discriminant information. Therefore, an optimal method to uncorrelated discriminant vectors is proposed in this paper. And the method is tested on ORL face database. The experimental results indicate the method can simplify projection matrix, improve the efficiency of features extraction and then make the recognition ratio robust. Moreover, this paper suggests the optimal method based on perturbation analysis is suitable for optimizing other linear discriminant vectors.
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Received: 28 February 2005
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2006, Vol. 19 
