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Generalization Performance of Radial Basis Function Networks

文献类型：期刊论文

作者Lei, Yunwen1; Ding, Lixin1; Zhang, Wensheng2
刊名IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
出版日期2015-03-01
卷号26期号:3页码:551-564
关键词Learning theory local Rademacher complexity radial basis function (RBF) networks structural risk minimization (SRM)
英文摘要This paper studies the generalization performance of radial basis function (RBF) networks using local Rademacher complexities. We propose a general result on controlling local Rademacher complexities with the L-1-metric capacity. We then apply this result to estimate the RBF networks' complexities, based on which a novel estimation error bound is obtained. An effective approximation error bound is also derived by carefully investigating the Holder continuity of the l(p) loss function's derivative. Furthermore, it is demonstrated that the RBF network minimizing an appropriately constructed structural risk admits a significantly better learning rate when compared with the existing results. An empirical study is also performed to justify the application of our structural risk in model selection.
WOS标题词Science & Technology ; Technology
类目[WOS]Computer Science, Artificial Intelligence ; Computer Science, Hardware & Architecture ; Computer Science, Theory & Methods ; Engineering, Electrical & Electronic
研究领域[WOS]Computer Science ; Engineering
关键词[WOS]MODEL SELECTION ; NEURAL-NETWORKS ; APPROXIMATION ; COMPLEXITY ; BOUNDS ; RISK ; REGULARIZATION ; TRACTABILITY ; REGRESSION ; ERROR
收录类别SCI
语种英语
WOS记录号WOS:000351834400011
公开日期2015-12-24
源URL[http://ir.ia.ac.cn/handle/173211/9999]  
专题精密感知与控制研究中心_人工智能与机器学习
作者单位1.Wuhan Univ, Sch Comp, State Key Lab Software Engn, Wuhan 430072, Peoples R China
2.Chinese Acad Sci, Inst Automat, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Lei, Yunwen,Ding, Lixin,Zhang, Wensheng. Generalization Performance of Radial Basis Function Networks[J]. IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS,2015,26(3):551-564.
APA Lei, Yunwen,Ding, Lixin,&Zhang, Wensheng.(2015).Generalization Performance of Radial Basis Function Networks.IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS,26(3),551-564.
MLA Lei, Yunwen,et al."Generalization Performance of Radial Basis Function Networks".IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS 26.3(2015):551-564.

入库方式： OAI收割

来源：自动化研究所

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