Sparse recovery in probability via \(l_q\)-minimization with Weibull random matrices for \(0 < q\leq 1\)
type: Item
instance of: scholarly article
title: Sparse recovery in probability via \(l_q\)-minimization with Weibull random matrices for \(0 < q\leq 1\)
zbMATH Open document ID: 1399.15045
author: Yi Gao
author: Shigang Yue
author: Ji-Gen Peng
published in: Applied Mathematics. Series B (English Edition)
publication date: 2018-05-08T00:00:00Z
Mathematics Subject Classification ID: 15B52
Mathematics Subject Classification ID: 60E05
Mathematics Subject Classification ID: 94A12
Mathematics Subject Classification ID: 94A20
zbMATH DE Number: 6866758
zbMATH Keywords: compressed sensing
zbMATH Keywords: minimization
zbMATH Keywords: Weibull matrices
zbMATH Keywords: null space property
zbMATH Keywords: quotient property
MaRDI profile type: Publication
full work available at URL: s11766-018-3430-2
OpenAlex ID: W2793267806
cites work: Perturbations of measurement matrices and dictionaries in compressed sensing
cites work: A simple proof of the restricted isometry property for random matrices
cites work: Making do with less: an introduction to compressed sensing
cites work: Shifting Inequality and Recovery of Sparse Signals
cites work: Sharp RIP bound for sparse signal and low-rank matrix recovery
cites work: Sparse Representation of a Polytope and Recovery of Sparse Signals and Low-Rank Matrices
cites work: Compressed data separation via dual frames based split-analysis with Weibull matrices
cites work: The restricted isometry property and its implications for compressed sensing
cites work: Compressed sensing with coherent and redundant dictionaries
cites work: Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
cites work: Decoding by Linear Programming
cites work: Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies?
cites work: Restricted isometry properties and nonconvex compressive sensing
cites work: Compressed sensing and best 𝑘-term approximation
cites work: Restricted Isometry Constants Where $\ell ^{p}$ Sparse Recovery Can Fail for $0≪ p \leq 1$
cites work: Instance-optimality in probability with an \(\ell _1\)-minimization decoder
cites work: Compressed sensing
cites work: Uncertainty principles and ideal atomic decomposition
cites work: Sparse and Redundant Representations
cites work: A generalized uncertainty principle and sparse representation in pairs of bases
cites work: Analysis versus synthesis in signal priors
cites work: Stability and robustness of \(\ell_1\)-minimizations with Weibull matrices and redundant dictionaries
cites work: Sparsest solutions of underdetermined linear systems via \( \ell _q\)-minimization for \(0<q\leqslant 1\)
cites work: Sparse recovery with pre-Gaussian random matrices
cites work: A mathematical introduction to compressive sensing
cites work: Sparse representations in unions of bases
cites work: Highly sparse representations from dictionaries are unique and independent of the sparseness measure
cites work: Restricted $q$-Isometry Properties Adapted to Frames for Nonconvex $l_q$-Analysis
cites work: Compressed Sensing With General Frames via Optimal-Dual-Based $\ell _{1}$-Analysis
cites work: New bounds on the restricted isometry constant \(\delta _{2k}\)
cites work: Sparse Approximate Solutions to Linear Systems
cites work: $NP/CMP$ Equivalence: A Phenomenon Hidden Among Sparsity Models $l_{0}$ Minimization and $l_{p}$ Minimization for Information Processing
cites work: The restricted isometry property for time-frequency structured random matrices
cites work: Compressed Sensing and Redundant Dictionaries
cites work: Sparse recovery by non-convex optimization - instance optimality
cites work: Restricted \(p\)-isometry property and its application for nonconvex compressive sensing
cites work: Recovery of sparsest signals via \(\ell^q \)-minimization
cites work: Stability and instance optimality for Gaussian measurements in compressed sensing
cites work: \(\ell_1\) minimization with noisy data
cites work: The Improved Bounds of Restricted Isometry Constant for Recovery via <formula formulatype="inline"><tex Notation="TeX">$\ell_{p}$</tex> </formula>-Minimization
cites work: Compressed sensing: a survey
cites work: New bounds for RIC in compressed sensing
DOI: 10.1007/S11766-018-3430-2
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description: scientific article; zbMATH DE number 6866758