Adaptive algorithms of nonlinear approximation with finite terms

doi:10.1007/s10114-005-0913-x

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	Adaptive algorithms of nonlinear approximation with finite terms
	Wei, Wen Bin ; Xu, Yue Sheng ; Ye, Pei Xin
	2007-09-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	23 期号:9 页码:1663-1672
摘要	This paper deals with realizable adaptive algorithms of the nonlinear approximation with finite terms based on wavelets. We present a concrete algorithm by which we may find the required index set Lambda(m) for the greedy algorithm G(p)(m)(., Psi). This makes the greedy algorithm realize the near best approximation in practice. Moreover, we study the efficiency of the finite- term approximation of another algorithm introduced by Birge and Massart.
关键词	nonlinear approximation dictionary Haar system adaptive algorithm near best approximation
DOI	10.1007/s10114-005-0913-x
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000248579800013
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4017
专题	中国科学院数学与系统科学研究院
通讯作者	Wei, Wen Bin
作者单位	1.AF Radar Acad, Dept 4, Wuhan 430019, Peoples R China 2.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China 3.Nankai Univ, Dept Math, Tianjin 300000, Peoples R China
推荐引用方式 GB/T 7714	Wei, Wen Bin,Xu, Yue Sheng,Ye, Pei Xin. Adaptive algorithms of nonlinear approximation with finite terms[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2007,23(9):1663-1672.
APA	Wei, Wen Bin,Xu, Yue Sheng,&Ye, Pei Xin.(2007).Adaptive algorithms of nonlinear approximation with finite terms.ACTA MATHEMATICA SINICA-ENGLISH SERIES,23(9),1663-1672.
MLA	Wei, Wen Bin,et al."Adaptive algorithms of nonlinear approximation with finite terms".ACTA MATHEMATICA SINICA-ENGLISH SERIES 23.9(2007):1663-1672.