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基于极小准则的完备正交判别局部保持算法
引用本文:林玉娥,李敬兆,梁兴柱,林玉荣.基于极小准则的完备正交判别局部保持算法[J].光电工程,2011,38(3):145-150.
作者姓名:林玉娥  李敬兆  梁兴柱  林玉荣
作者单位:1. 安徽理工大学,计算机科学与工程学院,安徽,淮南,232001
2. 哈尔滨工业大学航天学院,哈尔滨,150001
基金项目:国家自然科学基金,安徽理工大学博士、硕士基金
摘    要:以无监督判别投影算法为理论基础,提出了一种基于极小准则的完备正交判别局部保持投影算法.算法首先根据同类样本的空间信息重新定义了类内局部保持散度矩阵与类问局部保持散度矩阵,然后借鉴无监督判别投影算法的目标函数,推导出一个基于极小准则的目标函数,该目标函数通过投影到总体散度矩阵的非零空间中有效地解决小样本问题,最后给出了该...

关 键 词:完备正交判别局部保持投影算法  散度矩阵  无监督判别投影算法  目标函数  非零空间

Complete Orthogonal Discriminant Locality Preserving Method Based on Minimal Criterion
LIN Yu-e,LI Jing-zhao,LIANG Xing-zhu,LIN Yu-rong.Complete Orthogonal Discriminant Locality Preserving Method Based on Minimal Criterion[J].Opto-Electronic Engineering,2011,38(3):145-150.
Authors:LIN Yu-e  LI Jing-zhao  LIANG Xing-zhu  LIN Yu-rong
Affiliation:LIN Yu-e1,LI Jing-zhao1,LIANG Xing-zhu1,LIN Yu-rong2 ( 1. School of Computer Science & Engineering,Anhui University of Science and Technology,Huainan 232001,Anhui Province,China,2. School of Astronautics,Harbin Institute of Technology,Harbin 150001,China )
Abstract:A complete orthogonal discriminant locality preserving method based on minimal criterion is proposed on the theory of unsupervised discriminant projection. According to the space information among samples belonging to the same class, the proposed method redefines the within-class and between scatter matrix. Then, according to the objective function of unsupervised discriminant projection, the new objective function is derived, which can address the small sample size problem by being projected into total sca...
Keywords:complete orthogonal discriminant locality preserving method  scatter matrix  unsupervised discriminant projection  objective function  non-null space  
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