title: KPCA plus LDA: a complete kernel Fisher discriminant framework for feature extraction and recognition.
abstract: This paper examines the theory of kernel Fisher discriminant analysis (KFD) in a Hilbert space and develops a two-phase KFD framework, i.e., kernel principal component analysis (KPCA) plus Fisher linear discriminant analysis (LDA). This framework provides novel insights into the nature of KFD. Based on this framework, the authors propose a complete kernel Fisher discriminant analysis (CKFD) algorithm. CKFD can be used to carry out discriminant analysis in "double discriminant subspaces." The fact that, it can make full use of two kinds of discriminant information, regular and irregular, makes CKFD a more powerful discriminator. The proposed algorithm was tested and evaluated using the FERET face database and the CENPARMI handwritten numeral database. The experimental results show that CKFD outperforms other KFD algorithms.
authors.affiliation: Department of Computer Science, Nanjing University of Science and Technology, Nanjing 210094, PR China. csjyang@comp.polyu.edu.hk
authors.forename: Jian
authors.initials: J
authors.lastname: Yang
authors.forename: Alejandro F
authors.initials: AF
authors.lastname: Frangi
authors.forename: Jing-Yu
authors.initials: JY
authors.lastname: Yang
authors.forename: David
authors.initials: D
authors.lastname: Zhang
authors.forename: Zhong
authors.initials: Z
authors.lastname: Jin
mesh_terms: D000465:Algorithms; D001185:Artificial Intelligence; D003198:Computer Simulation; D016002:Discriminant Analysis; D005145:Face / Q000033:anatomy & histology*; D006236:Handwriting; D006801:Humans; D007089:Image Enhancement / Q000379:methods; D007090:Image Interpretation, Computer-Assisted / Q000379:methods*; D016247:Information Storage and Retrieval / Q000379:methods*; D008954:Models, Biological; D015233:Models, Statistical; D010363:Pattern Recognition, Automated / Q000379:methods*; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity; D012815:Signal Processing, Computer-Assisted; D013382:Subtraction Technique