A Self-adaptive Algorithm for Solving Basis Pursuit Denoising Problem

Mengkai Zhu, Xu Zhang, Bing Xue,Hongchun Sun

INTERNATIONAL JOURNAL OF ADVANCED COMPUTER SCIENCE AND APPLICATIONS（2021）

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摘要

In this paper, we further consider a method for solving the basis pursuit denoising problem (BPDP), which has received considerable attention in signal processing and statistical inference. To this end, a new self-adaptive algorithm is proposed, its global convergence results is established. Furthermore, we also show that the method is sublinearly convergent rate of O(1/k). Finally, the availability of given method is shown via some numerical examples.

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关键词

Basis pursuit denoising problem,algorithm,global convergence,sublinearly convergent rate,sparse signal recovery

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