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ICASSP
2011
IEEE
7 years 11 months ago
Generalized Restricted Isometry Property for alpha-stable random projections
The Restricted Isometry Property (RIP) is an important concept in compressed sensing. It is well known that many random matrices satisfy the RIP with high probability, whenever th...
Daniel Otero, Gonzalo R. Arce
CORR
2010
Springer
181views Education» more  CORR 2010»
8 years 7 months ago
Sparse Recovery with Orthogonal Matching Pursuit under RIP
This paper presents a new analysis for the orthogonal matching pursuit (OMP) algorithm. It is shown that if the restricted isometry property (RIP) is satisfied at sparsity level O...
Tong Zhang
TSP
2016
63views more  TSP 2016»
3 years 3 months ago
Recovery of Sparse Signals via Generalized Orthogonal Matching Pursuit: A New Analysis
As an extension of orthogonal matching pursuit (OMP) for improving the recovery performance of sparse signals, generalized OMP (gOMP) has recently been studied in the literature. ...
Jian Wang, Suhyuk Kwon, Ping Li, Byonghyo Shim
CORR
2010
Springer
149views Education» more  CORR 2010»
8 years 7 months ago
A probabilistic and RIPless theory of compressed sensing
This paper introduces a simple and very general theory of compressive sensing. In this theory, the sensing mechanism simply selects sensing vectors independently at random from a ...
Emmanuel J. Candès, Yaniv Plan
SIAMREV
2010
174views more  SIAMREV 2010»
8 years 1 months ago
Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization
The affine rank minimization problem consists of finding a matrix of minimum rank that satisfies a given system of linear equality constraints. Such problems have appeared in the ...
Benjamin Recht, Maryam Fazel, Pablo A. Parrilo
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