Nonlinear Discriminative Common Vector method

ÇEVİKALP H., Neamtu M., Wilkes M.

9th World Multi-Conference on Systemics, Cybernetics and Informatics, Florida, United States Of America, 10 - 13 July 2005, pp.338-343 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • City: Florida
  • Country: United States Of America
  • Page Numbers: pp.338-343
  • Keywords: common vectors, discriminative common vectors, face recognition, feature extraction, kernel functions
  • Eskisehir Osmangazi University Affiliated: No


In this paper we propose a new method called the Kernel Discriminative Common Vector (Kernel DCV) method. Firstly the original input space is mapped nonlinearly to a higher-dimensional feature space through a kernel mapping. Then, the linear Discriminative Common Vector (DCV) method is applied in the transformed space. The proposed method employs the projection vectors from the null space of the within-class scatter matrix of the transformed samples for feature extraction. The same discriminative common vector for all samples in each class is obtained after feature extraction. Therefore, a 100% recognition rate is always guaranteed for the training set samples. The experiments on the test sets also show that the generalization ability of the proposed method compares favorably with the other kernel approaches. Also the fact that the test sample feature vectors are compared to only the discriminative common vectors, as opposed to all training set sample feature vectors, makes the proposed method ideal for real-time applications.