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» Shifting inequality and recovery of sparse signals
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TSP
2010
13 years 2 months ago
Shifting inequality and recovery of sparse signals
Abstract--In this paper, we present a concise and coherent analysis of the constrained `1 minimization method for stable recovering of high-dimensional sparse signals both in the n...
T. Tony Cai, Lie Wang, Guangwu Xu
TIT
2010
137views Education» more  TIT 2010»
13 years 2 months ago
Stable recovery of sparse signals and an oracle inequality
This article considers sparse signal recovery in the presence of noise. A mutual incoherence condition which was previously used for exact recovery in the noiseless case is shown t...
T. Tony Cai, Lie Wang, Guangwu Xu
TSP
2008
106views more  TSP 2008»
13 years 7 months ago
Identification of Matrices Having a Sparse Representation
We consider the problem of recovering a matrix from its action on a known vector in the setting where the matrix can be represented efficiently in a known matrix dictionary. Conne...
Götz E. Pfander, Holger Rauhut, Jared Tanner
CORR
2010
Springer
149views Education» more  CORR 2010»
13 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