弱双正交贪心算法的统一误差估计

Int. J. Wavelets Multiresolution Inf. Process. Pub Date : 2022-04-12 DOI:10.1142/s0219691322500102

Bing Jiang, Peixin Ye, Wenhui Zhang

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引用次数: 1

摘要

本文利用一类泛函方法，得到了Banach空间中关于字典的一些弱双正交贪心算法的统一误差估计。从这个估计中，我们得到了由[公式:见文本]-泛函引起的稀疏类收敛的充分条件和收敛速率。在收敛性和收敛速度方面的结果是明显的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Unified error estimate for weak biorthogonal Greedy algorithms

In this paper, we obtain the unified error estimate for some weak biorthogonal greedy algorithms with respect to dictionaries in Banach spaces by using some kind of [Formula: see text]-functional. From this estimate, we derive the sufficient conditions for the convergence and the convergence rates on sparse classes induced by the [Formula: see text]-functional. The results on convergence and the convergence rates are sharp.

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Int. J. Wavelets Multiresolution Inf. Process.

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