Generalization Performance of Radial Basis Function Networks
Lei, Yunwen1; Ding, Lixin1; Zhang, Wensheng2
2015-03-01
发表期刊IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
卷号26期号:3页码:551-564
文章类型Article
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.
关键词Learning Theory Local Rademacher Complexity Radial Basis Function (Rbf) Networks Structural Risk Minimization (Srm)
WOS标题词Science & Technology ; Technology
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研究方向Computer Science ; Engineering
WOS类目Computer Science, Artificial Intelligence ; Computer Science, Hardware & Architecture ; Computer Science, Theory & Methods ; Engineering, Electrical & Electronic
WOS记录号WOS:000351834400011
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被引频次:8[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符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
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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.
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