Sufficient conditions on stable reconstruction of weighted problem

DOI10.1080/00036811.2021.1903443OpenAlexW3138433652MaRDI QIDQ5037937

Jing Bu, Lie-jun Xie, Jin-Ping Wang

Publication date: 29 September 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2021.1903443

zbMATH Keywords

stable recoveryweighted restricted isometry propertyweighted minimizationweighted robust null space

Mathematics Subject Classification ID

Approximation algorithms (68W25) Inverse problems in optimal control (49N45)

Cites Work

• A weighted \(\ell_1\)-minimization approach for sparse polynomial chaos expansions
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• Interpolation via weighted \(\ell_{1}\) minimization
• Sparsest solutions of underdetermined linear systems via \( \ell _q\)-minimization for \(0<q\leqslant 1\)
• A simple proof of the restricted isometry property for random matrices
• New conditions on stable recovery of weighted sparse signals via weighted \(l_1\) minimization
• Recovery analysis for weighted \(\ell_{1}\)-minimization using the null space property
• Optimal Choice of Weights for Sparse Recovery With Prior Information
• Restricted isometry properties and nonconvex compressive sensing
• Weighted ${\ell}_{{1}}$-minimization for sparse recovery under arbitrary prior information
• A null-space-based weightedl₁minimization approach to compressed sensing
• The Sample Complexity of Weighted<?Pub _newline ?>Sparse Approximation
• Sparse recovery of weighted nonconvex $\boldsymbol{\ell_q}$-minimization
• New Bounds for Restricted Isometry Constants

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