Adaptive algorithms of nonlinear approximation with finite terms | |
Wei, Wen Bin; Xu, Yue Sheng; Ye, Pei Xin | |
刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
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2007-09-01 | |
卷号 | 23期号:9页码:1663-1672 |
关键词 | nonlinear approximation dictionary Haar system adaptive algorithm near best approximation |
ISSN号 | 1439-8516 |
DOI | 10.1007/s10114-005-0913-x |
英文摘要 | 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. |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | SPRINGER HEIDELBERG |
WOS记录号 | WOS:000248579800013 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4016] ![]() |
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. |
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