Title
Efficient Kernel Discriminant Analysis via QR Decomposition
Abstract
Linear Discriminant Analysis (LDA) is a well-known method for fea- ture extraction and dimension reduction. It has been used widely in many applications such as face recognition. Recently, a novel LDA algo- rithm based on QR Decomposition, namely LDA/QR, has been proposed, which is competitive in terms of classification accuracy with other LDA algorithms, but it has much lower costs in time and space. However, LDA/QR is based on linear projection, which may not be suitable for data with nonlinear structure. This paper first proposes an algorithm called KDA/QR, which extends the LDA/QR algorithm to deal with nonlin- ear data by using the kernel operator. Then an efficient approximation of KDA/QR called AKDA/QR is proposed. Experiments on face image data show that the classification accuracy of both KDA/QR and AKDA/QR are competitive with Generalized Discriminant Analysis (GDA), a gen- eral kernel discriminant analysis algorithm, while AKDA/QR has much lower time and space costs.
Year
Venue
Keywords
2004
NIPS
qr decomposition,dimension reduction,kernel discriminant analysis,face recognition,generalized discriminant analysis
Field
DocType
Citations 
Kernel (linear algebra),Facial recognition system,Dimensionality reduction,Pattern recognition,Computer science,Kernel Fisher discriminant analysis,Feature extraction,Artificial intelligence,Linear discriminant analysis,QR decomposition,Machine learning,QR algorithm
Conference
37
PageRank 
References 
Authors
1.62
8
5
Name
Order
Citations
PageRank
Tao Xiong129314.90
Jieping Ye26943351.37
Qi Li3117066.43
Ravi Janardan41241121.04
Vladimir Cherkassky51064126.66