Besov regularity of functions with sparse random wavelet coefficients
Besov regularity of functions with sparse random wavelet coefficients
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稀疏随机小波系数函数的贝索夫正则性
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
N. Bochkina
中科院分区：
文献类型：
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作者：
N. Bochkina
本文考虑了由随机小波系数的小波分解定义的随机函数在Besov空间（概率为1）中隶属的充要条件。贝叶斯非参数回归的设置，其中大多数被估计的功能被假定为足够的规则，使大多数的小波系数为零，我们考虑一个概率模型的小波系数，允许其稀疏性的动机。我们考虑这样的概率模型的正交和连续小波变换的系数。
We consider a problem of determining the necessary and sucient conditions of the membership in Besov spaces (with probability 1) of random functions defined in terms of the wavelet decomposition with random wavelet coecients. Motivated by the settings of the Bayesian non-parameteric re- gression where the majority of the functions to be estimated are assumed to be regular enough so that the majority of the wavelet coecients are zero we consider a probabilistic model for the wavelet coecients which allows for their sparsity. We consider such probabilistic models for the coecients of the orthogonal and the continuous wavelet transforms.
带限 Hermite 展开的断层扫描重建。
DOI：
10.1117/12.769604
发表时间：
2008
期刊：
Proceedings of SPIE--the International Society for Optical Engineering
影响因子：
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作者：
Park,Wooram;Chirikjian,GregoryS
通讯作者：
Chirikjian,GregoryS