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  2009, Vol. 22 Issue (2): 176-181    DOI:
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A Generalized Form of Fisher Linear Discriminant Function
CHENG Zheng-Dong1,2, ZHANG Yu-Jin1, FAN Xiang2,3
1.Department of Electronic Engineering, Tsinghua University, Beijing 100084
2.Department of Photoelectricing, Electronic Engineering Institute, Hefei 230037
3.Department of Electronic Engineering and Information Science, University of Science and Technology of China, Hefei 230027

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Abstract  A generalized form of Fisher discriminant function is presented. It overcomes the limitations of two common discriminant functions. The presented form uniforms the discriminant functions in two subspaces of the dual subspace discriminant analysis (DSDA). A new orthogonal discriminant vector set is obtained by QR decomposition, and its discriminant property is approximate to that of the Foley-Sammon orthogonal discriminant vector set with smaller computational complexity. The experiments on ORL and JAFFE database show that theory analysis is consistent to the experimental results.
Key wordsFisher Discriminant Function      Dual Subspace Discriminant Analysis (DSDA)      Generalized Eigenvalue Decomposition (GEVD)      Orthogonal Discriminant Vector Set     
Received: 16 November 2007     
ZTFLH: TP391  
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CHENG Zheng-Dong
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CHENG Zheng-Dong,ZHANG Yu-Jin,FAN Xiang. A Generalized Form of Fisher Linear Discriminant Function[J]. , 2009, 22(2): 176-181.
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http://manu46.magtech.com.cn/Jweb_prai/EN/      OR     http://manu46.magtech.com.cn/Jweb_prai/EN/Y2009/V22/I2/176
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