Structural risk minimization principle on quasi-probability space

doi:10.3778/j.issn.1002-8331.2010.20.010

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.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.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

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

CLC Number:

TP18

BAI Yun-chao¹，ZHANG Zhi-ming². Structural risk minimization principle on quasi-probability space[J]. Computer Engineering and Applications, 2010, 46(20): 37-39.

白云超¹，张植明². 拟概率空间上结构风险最小化原则[J]. 计算机工程与应用, 2010, 46(20): 37-39.

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Structural risk minimization principle on quasi-probability space

拟概率空间上结构风险最小化原则

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