[1]杨健,杨静宇,刘宁钟.统计不相关最优鉴别分析的理论与算法[J].南京理工大学学报(自然科学版),2002,(02):179-182.
 YangJian YangJingyu LiuNingzhong.Theory and Algorithm of Uncorrelated Optimal Discriminant Analysis[J].Journal of Nanjing University of Science and Technology,2002,(02):179-182.
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统计不相关最优鉴别分析的理论与算法()
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《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

卷:
期数:
2002年02期
页码:
179-182
栏目:
出版日期:
2002-04-30

文章信息/Info

Title:
Theory and Algorithm of Uncorrelated Optimal Discriminant Analysis
作者:
杨健杨静宇刘宁钟
南京理工大学计算机科学与技术系, 南京210094
Author(s):
YangJian YangJingyu LiuNingzhong
Department of Computer Science and Technology,NUST,Nanjing 210094
关键词:
统计不相关 线性分析 特征抽取 数字识别 鉴别矢量
Keywords:
statist ical uncorrelation linear analysis feature ext raction numerical recogn-i t ion discriminant vectors
分类号:
O212
摘要:
该文分析了Fisher准则函数所对应的广义特征方程的特征向量的性质 ,在此基础上揭示了具有统计不相关性的最优鉴别矢量集的本质 ,即为广义特征方程的d个最大的特征值所对应的满足共轭正交条件的特征向量。指出了统计不相关的最优鉴别分析是经典的Fisher线性鉴别分析的进一步发展。在ConcordiaU niversityCENPARMI手写体阿拉伯数字数据库上的试验结果证实了所提出算法的有效性。
Abstract:
Some propert ies of the eigenvectors of the generalized eigen-equat ion corresponding to Fisher criterion are analyzed. On the basis of these propert ies, the uncorrelated optimal discriminant vectors are theoret ically proved to be the eig envectors corresponding to the first d largest eigenvalues of the generalized eigen-equat ion. It is st ressed that uncorrelated optimal discriminant analysis ( U ODA) is further development of the classical Fisher linear discriminant analysis in theory . T he results of ex periment on Concordia University CENPARMI handw ritten numerical database indicate the proposed alg orithm is more eff icient than the previous ones, and, U ODA is more powerful than the t radit ional Foley-Sammon discriminant analysis.

参考文献/References:

1 Tian Q. Image classification by the Foley-Sammon transform. Optical Engineer ing , 1986, 25( 7) : 834~ 839
2  Jin Zhong , Yang J Y, Hu Z S, Lou Z. Face recognition based on uncorr elated discriminant transformation.Pat tern Recog nit ion, 2001, 33 ( 7) : 1 405~ 1 416
3  杨健, 杨静宇, 金忠. 最优鉴别特征的抽取及图像识别. 计算机研究与发展, 2001, 48 ( 11) :1 331~ 1 336
4  胡钟山, 娄震, 杨静宇, 刘克, 孙靖夷. 基于多分类器组合的手写体数字识别. 计算机学报,1999, 22 ( 4) : 369~ 374

备注/Memo

备注/Memo:
杨 健 男 28 岁 博士生
更新日期/Last Update: 2002-04-30