计算机工程与应用 ›› 2008, Vol. 44 ›› Issue (33): 158-163.DOI: 10.3778/j.issn.1002-8331.2008.33.049

• 图形、图像、模式识别 • 上一篇    下一篇

一类基于多目标规划的线性鉴别准则

高秀梅1,陈 芳1,宋枫溪2,3,杨 健3   

  1. 1.淮阴师范学院 计算机科学系,江苏 淮安 223001
    2.哈尔滨工业大学 深圳研究生院,广东 深圳 518055
    3.南京理工大学 计算机科学与技术系,南京 210094
  • 收稿日期:2008-05-22 修回日期:2008-08-11 出版日期:2008-11-21 发布日期:2008-11-21
  • 通讯作者: 高秀梅

One class of linear discriminant criteria based on multiple objective programming

GAO Xiu-mei1,CHEN Fang1,SONG Feng-xi2,3,YANG Jian3   

  1. 1.Department of Computer Science,Huaiyin Teachers College,Huaian,Jiangsu 223001,China
    2.Shenzhen Graduate School,Harbin Institute of Technology,Shenzhen,Guangdong 518055,China
    3.School of Computer Science and Technology,Nanjing University of Science and Technology,Nanjing 210094,China
  • Received:2008-05-22 Revised:2008-08-11 Online:2008-11-21 Published:2008-11-21
  • Contact: GAO Xiu-mei

摘要: 两类Fisher鉴别准则、大间距线性投影准则以及最大散度差鉴别准则都是直接用于模式分类的两类线性鉴别准则,它们的共同点是将“投影后数据的可分性达到最大的方向”作为最优投影方向。区别在于它们对数据可分性的定义有所不同。过去的研究成果表明,大间距线性投影分类器与支持向量机之间、大间距线性投影准则与最大散度差鉴别准则之间以及最大散度差鉴别准则与两类Fisher鉴别准则之间,均存在着这样或那样的联系。论文试图在以往研究成果的基础上进一步理清这些两类线性鉴别准则之间的内在关系,并建立一个统一的理论框架从而将基于投影后数据可分性的这些两类线性鉴别准则都纳入其中。

关键词: 两类Fisher鉴别准则, 大间距线性投影准则, 最大散度差鉴别准则, 多目标规划

Abstract: Binary Fisher discriminant criterion,large margin linear projection criterion,and maximum scatter difference discriminant criterion are all binary linear discriminant criteria which can be directly used in pattern recognition.The common ground of these criteria is that they all determine the optimal projection axis based on the separability of projected samples.The differences are their definitions of the separability of projected samples.Previous studies show that large margin linear projection classifiers and support vector machines,large margin linear projection criterion and maximum scatter difference discriminant criterion,and maximum scatter difference discriminant criterion and binary Fisher discriminant criterion are closely related.Based on previous results,discover the intrinsic relationships between these criteria and establish an overall framework for these binary linear discriminant criteria based on the separability of projected samples in this paper.

Key words: binary Fisher discriminant criterion, large margin linear projection criterion, maximum scatter difference discriminant criterion, multiple objective programming