On the optimality of the Orthogonal Greedy Algorithm for μ-coherent dictionaries

被引：13
|
作者：
Livshitz, E. D. [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Moscow 119992, Russia
来源：
JOURNAL OF APPROXIMATION THEORY | 2012年 / 164卷 / 05期
基金：
俄罗斯基础研究基金会;
关键词：
Orthogonal Greedy Algorithms; Orthogonal Matching Pursuit; Best m-term approximation; Lebesgue-type inequalities; CONSTRUCTIONS;
D O I：
10.1016/j.jat.2012.01.007
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we continue to study the performance of Greedy Algorithms. We show that the Orthogonal Greedy Algorithm (Orthogonal Matching Pursuit) provides an almost optimal approximation on the first [mu(-1)/20] steps for mu-coherent dictionaries. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：668 / 681
页数：14
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