Restricted \(p\)-isometry properties of partially sparse signal recovery
type: Item
instance of: scholarly article
title: Restricted \(p\)-isometry properties of partially sparse signal recovery
zbMATH Open document ID: 1264.94040
DOI: 10.1155/2013/692169
author: Haini Bi
author: Lingchen Kong
author: Naihua Xiu
published in: Discrete Dynamics in Nature and Society
publication date: 2013-06-13T00:00:00Z
review text: Summary: By generalizing the restricted \(p\)-isometry property to the partially sparse signal recovery problem, we give a sufficient condition for exactly recovering partially sparse signal via the partial \(l_p\) minimization (truncated \(l_p\) minimization) problem with \(p \in (0, 1]\). Based on this, we establish a simpler sufficient condition which can show how the \(p\)-RIP bounds vary corresponding to different \(p\)s.
Mathematics Subject Classification ID: 94A12
zbMATH DE Number: 6175109
Wikidata QID: Q58921740
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/692169
OpenAlex ID: W2042328163
cites work: Computation of sparse low degree interpolating polynomials and their application to derivative-free optimization
cites work: Modified-CS: Modifying Compressive Sensing for Problems With Partially Known Support
cites work: A short note on compressed sensing with partially known signal support
cites work: Extensions of compressed sensing
cites work: From Sparse Solutions of Systems of Equations to Sparse Modeling of Signals and Images
cites work: Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
cites work: Decoding by Linear Programming
cites work: Restricted isometry properties and nonconvex compressive sensing
cites work: Lower Bound Theory of Nonzero Entries in Solutions of $\ell_2$-$\ell_p$ Minimization
cites work: Restricted Isometry Constants Where $\ell ^{p}$ Sparse Recovery Can Fail for $0≪ p \leq 1$
cites work: Sparsest solutions of underdetermined linear systems via \( \ell _q\)-minimization for \(0<q\leqslant 1\)
cites work: A note on the complexity of \(L _{p }\) minimization
cites work: Restricted \(p\)-isometry property and its application for nonconvex compressive sensing
cites work: Sparse recovery by non-convex optimization - instance optimality
cites work: On the Performance of Sparse Recovery Via $\ell_p$-Minimization $(0 \leq p \leq 1)$
cites work: Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization
description: scientific article; zbMATH DE number 6175109