Local Recovery Bounds for Prior Support Constrained Compressed Sensing

Najiya, K. Z. and Sonkar, Munnu and Sastry, Challa Subrahmanya (2022) Local Recovery Bounds for Prior Support Constrained Compressed Sensing. Mathematical Notes, 111 (1-2). pp. 93-102. ISSN 0001-4346

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Abstract

Abstract: Prior support constrained compressed sensing has of late become popular due to its potential for applications. The existing results on recovery guarantees provide global recovery bounds in the sense that they deal with full support. However, in some applications, one might be interested in the recovery guarantees limited to the given prior support, such bounds may be termed as local recovery bounds. The present work proposes local recovery guarantees and analyzes the conditions on associated parameters that make recovery error small. © 2022, Pleiades Publishing, Ltd.

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IITH Creators:

IITH Creators	ORCiD
Sastry, Challa Subrahmanya	UNSPECIFIED

Item Type:

Article

Additional Information:

The first author is thankful to the UGC, Government of India, (JRF/2016/409284) for its financial support. The second author gratefully acknowledges the support received from the MHRD, Government of India. The third author is grateful to the CSIR, India (No. 25(0309)/20/EMR-II) for its support.

Uncontrolled Keywords:

compressed sensing; local recovery guarantees; prior support; weighted 1-norm minimization

Subjects:

Mathematics

Divisions:

Department of Mathematics

Depositing User:

. LibTrainee 2021

Date Deposited:

13 Jul 2022 10:49

Last Modified:

13 Jul 2022 10:49