北大中文核心期刊
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中国科技核心期刊
入选数学领域高质量科技期刊
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运筹学学报 ›› 2011, Vol. 15 ›› Issue (3): 70-80.

• 运筹学 • 上一篇    下一篇

支持向量顺序回归机的统计学习基础

 阳红英, 杨志霞   

  • 出版日期:2011-09-20 发布日期:2011-09-20

Statistical Learning Element of Support Vector Ordinal Regression Machine

 YANG  Hong-Ying, YANG  Zhi-Xia   

  • Online:2011-09-20 Published:2011-09-20

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被引次数

1

摘要： 对处理顺序回归问题的支持向量顺序回归机的统计学习理论基础进行研究.
首先, 利用结构风险最小化原则推导出一种顺序回归机,
称之为结构风险最小化顺序回归机, 其次,
证明了结构风险最小化顺序回归机与支持向量顺序回归机解之间的关系.
进一步从统计学习的角度证明了支持向量顺序回归机是结构风险最小化原则的一种直接实现,
并给出了惩罚参数C的含义.

关键词:  最优化问题,  , 顺序回归问题,  , 支持向量顺序回归机, 结构风险最小化顺序回归机

Abstract: For support vector ordinal regression machine, its statistical learning element is studied in this paper.
Using structural risk minimization principle, we reduce one of
ordinal regression machine, which is called structural risk
minimization ordinal regression machine. Furthermore, the relation
of solution between structural risk minimization ordinal regression
machine and support vector ordinal regression machine is proved.
From the statistical point of view, support vector ordinal
regression machine is a direct implementation of structural risk
minimization principle.

Key words: optimization problem, ordinal regression problem, support vector ordinal regression machine, structural risk minimization ordinal regression machine