Paper Info
Title
A practical application of kernel-based fuzzy discriminant analysis
Abstract
AbstractAbstractA novel method for feature extraction and recognition called Kernel Fuzzy Discriminant Analysis KFDA is proposed in this paper to deal with recognition problems, e.g., for images. The KFDA method is obtained by combining the advantages of fuzzy methods and a kernel trick. Based on the orthogonal-triangular decomposition of a matrix and Singular Value Decomposition SVD, two different variants, KFDA/QR and KFDA/SVD, of KFDA are obtained. In the proposed method, the membership degree is incorporated into the definition of between-class and within-class scatter matrices to get fuzzy between-class and within-class scatter matrices. The membership degree is obtained by combining the measures of features of samples data. In addition, the effects of employing different measures is investigated from a pure mathematical point of view, and the t-test statistical method is used for comparing the robustness of the learning algorithm. Experimental results on ORL and FERET face databases show that KFDA/QR and KFDA/SVD are more effective and feasible than Fuzzy Discriminant Analysis FDA and Kernel Discriminant Analysis KDA in terms of the mean correct recognition rate.
Year
DOI
Venue
2013
10.2478/amcs-2013-0066
Periodicals
Keywords
Field
DocType
kernel fuzzy discriminant analysis, fuzzy k-nearest neighbor, QR decomposition, SVD, fuzzy membership matrix, t-test
Kernel (linear algebra),Singular value decomposition,Mathematical optimization,Pattern recognition,Fuzzy logic,Kernel Fisher discriminant analysis,Feature extraction,Artificial intelligence,Linear discriminant analysis,Kernel method,QR decomposition,Mathematics
Journal
Volume
Issue
ISSN
23
4
1641-876X
Citations 
PageRank 
References 
10
0.53
27
Authors
4
Name
Order
Citations
PageRank
Jian-qiang Gao1615.12
Liya Fan211713.14
Li Li3581109.68
Xu Lizhong415524.51