The Bound of Local Risk Minimization Estimation on Quasi-Probability Space

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Abstract:

the ideas of local risk minimization estimation problem on quasi-probability space is presented; In order to make structural risk minimization principle apply to the problem of local risk minimization estimation, the paper gives and proves the bounds of the bound of local risk minimization estimation on quasi-probability.

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431-435

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March 2013

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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[1] Ha Ming-Hu , Li Yan , Li Jia , Tian Da-Zeng. The key t heorem and t he bounds on t he rate of uniform convergence of learning theory on Sugeno measure spaces [J]. Science in China (Series E), Information Sciences, 2006, 36 (4): 398~410.

DOI: 10.1007/s11432-006-0372-8

Google Scholar

[2] Ming-hu Ha, Zhi-Fang Feng, Shi-Ji Song, Lin-Qing Gao,The Key Theorem and the Bounds on the Rate of Uniform Convergence of Statistical Learning Theory on Credibility Space[J], Chinese Journal of computes,2008 ,3,31(3):475~485.

DOI: 10.3724/sp.j.1016.2008.00476

Google Scholar

[3] Ming-Hu Ha,Yun-Chao Bai,Wang Peng,the KeyTheorem and the Bounds on the Rate of Uniform Convergence of Statistical Learning Theory on Credibility Space,Advances in Fuzzy Sets and Systems,2006,2(1):143-172.

Google Scholar

[4] Yun-chao Bai, Zhi-Ming Zhang, The Structural risk Minimizaion Priciple on on Quasi-probabilitySpaces,Computer Engineering and Applications,2010, 46 (20) :37-39.

Google Scholar

[5] Yun-Chao Bai,Peng Wang Covergence Rate of Structural Risk Minimization Principle on Quasi-Probability Space,Proceedings of 2010 International Conference on Machine Learning and Cybernetics,2010(7):1767-1769.

DOI: 10.1109/icmlc.2010.5580969

Google Scholar

[6] Zhenyuan-Wang, George J.Klir. Fuzzy Measure Theory [M], Plenum Press, New York, 1992.

Google Scholar