| 最大散度差和大间距线性投影与支持向量机 |
| |
| 引用本文： | 宋枫溪,范程科,杨静宇,刘树海.最大散度差和大间距线性投影与支持向量机[J].自动化学报,2004,30(6):890-896. |
| |
| 作者姓名： | 宋枫溪 范程科 杨静宇 刘树海 |
| |
| 作者单位： | 1.南京理工大学计算机系,南京; |
| |
| 基金项目： | 国家自然科学基金(60072034)资助~~ |
| |
| 摘 要： | 首先对Fisher鉴别准则作了必要的修正,并基于新的鉴别准则设计了最大散度差分
类器;然后探讨了当参数C趋向无穷大时,最大散度差分类器的极限情况,得到了大间距线
性投影分类器;最后通过分析说明,大间距线性投影分类器实际上是在模式样本线性可分的条
件下,线性支持向量机的一种特殊情况.在ORL和NUST603人脸库上的测试结果表明,最
大散度差分类器和大间距线性投影分类器可以与线性支持向量机、不相关线性鉴别分析相媲
美,优于Foley-Sammon鉴别分析方法.
|
| 关 键 词： | 最大散度差 大间距线性投影 支持向量机 Fisher鉴别准则 线性鉴别分析 人脸识别 |
| 收稿时间： | 2003-7-28 |
| 修稿时间： | 2003年7月28日 |
Maximum Scatter Difference,Large Margin Linear Projection and Support Vector Machines |
| |
| SONG Feng-Xi,CHENG Ke,YANG Jing-Yu,LIU Shu-Hai.Maximum Scatter Difference,Large Margin Linear Projection and Support Vector Machines[J].Acta Automatica Sinica,2004,30(6):890-896. |
| |
| Authors: | SONG Feng-Xi CHENG Ke YANG Jing-Yu LIU Shu-Hai |
| |
| Affiliation: | 1.Nanjing University of Science and Technology,Nanjing;Aritillery Academy,Hehei |
| |
| Abstract: | A modified Fisher discriminant is proposed at first.Then maximum scatter dif-ference classifier(MSDs)which is based on the new discriminant is derived.It is showed thatwhen parameter C in the MSDs is approaching infinity,a new kind of classifier called largemargin linear projection classifier(LMLP)can be obtained.Theoretical analysis indicatesthat LMLP is a special case of linear support vector machines when the pattern samples arelinearly separable.Experimental results conducted on the ORL and NUST603 datasets showthat the MSDs and LMLP are better than traditional linear discriminant analysis methodssuch as Foley-Sammon linear discriminant analysis,and can compete with linear supportvector machines and uncorrelated linear discriminant analysis. |
| |
| Keywords: | Maximum scatter difference large margin linear projection support vector machines Fisher discriminant linear discriminant analysis face recognition |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《自动化学报》浏览原始摘要信息 |
|
点击此处可从《自动化学报》下载全文 |
|
