Computer Engineering and Applications ›› 2010, Vol. 46 ›› Issue (20): 37-39.DOI: 10.3778/j.issn.1002-8331.2010.20.010

• 研究、探讨 • Previous Articles     Next Articles

Structural risk minimization principle on quasi-probability space

BAI Yun-chao1,ZHANG Zhi-ming2   

  1. 1.Faculty of Economics Science,Hebei University,Baoding,Hebei 071002,China
    2.College of Mathematics and Computer Science,Hebei University,Baoding,Hebei 071002,China
  • Received:2009-12-08 Revised:2010-04-06 Online:2010-07-11 Published:2010-07-11
  • Contact: BAI Yun-chao

拟概率空间上结构风险最小化原则

白云超1,张植明2   

  1. 1.河北大学 经济学院 统计系,河北 保定 071002
    2.河北大学 数学与计算机学院,河北 保定 071002
  • 通讯作者: 白云超

Abstract: The Structural Risk Minimization principle(SRM) on quasi-probability space is proposed.Then,in order to settle the question whether the structural risk converges to the expected risk on quasi-probability space,i.e.whether the structural risk converges to the smallest possible risk on the basis of the SRM,the consistency of this principle is given and proven.

Key words: quasi-probability, Structural Risk Minimization(SRM) principle, bounds on uniform convergence rate

摘要: 首先,给出了拟概率空间上结构风险最小化原则。然后,为了解决在拟概率空间上结构风险是否一致收敛到期望风险,也就是根据这个最小化原则结构风险是否能收敛到最小可能的风险,给出并证明了结构风险最小化原则的一致收敛性。

关键词: 拟概率, 结构风险最小化原则, 一致收敛速度的界

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