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Boosting and margin theory
Feng Jufu ; Wang Liwei ; Sugiyama Masashi ; Yang Cheng ; Zhou Zhihua ; Zhang Chicheng
刊名Frontiers of Electrical and Electronic Engineering
2012
关键词boosting margin explanation generalization
英文摘要Many researchers have worked on the explanation of AdaBoost’s good experimental results in theory. Some work give an upper bound of generalization error in terms of the margin distribution function, while Breiman gave a sharper generalization error bound based on minimum margin. He also developed the arcgv algorithm to maximize the minimum margin, then made the minimum margin larger than AdaBoost. However, its empirical results are even worse than AdaBoost. Therefore, is the minimum margin bound not practical? This paper gives a new concept called Equilibrium margin (Emargin) and proves a new generalization error bound using Emargin, which is always better than minimum margin bound. In addition, we show Emargin is a good indicator of generalization. Then, we conduct experiments showing that the Emargin of AdaBoost is larger than arc-gv, but the generalization error of Ada-Boost is usually better.; The National Natural Science Foundation of China,Global COE Program of Tokyo Institute of Technology; 中国科学引文数据库(CSCD); 1; 127-133; 7
语种英语
内容类型期刊论文
源URL[http://ir.pku.edu.cn/handle/20.500.11897/419609]  
专题信息科学技术学院
推荐引用方式
GB/T 7714
Feng Jufu,Wang Liwei,Sugiyama Masashi,et al. Boosting and margin theory[J]. Frontiers of Electrical and Electronic Engineering,2012.
APA Feng Jufu,Wang Liwei,Sugiyama Masashi,Yang Cheng,Zhou Zhihua,&Zhang Chicheng.(2012).Boosting and margin theory.Frontiers of Electrical and Electronic Engineering.
MLA Feng Jufu,et al."Boosting and margin theory".Frontiers of Electrical and Electronic Engineering (2012).
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