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ICASSP
2011
IEEE
12 years 9 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
145views Education» more  CORR 2010»
13 years 3 months ago
Orthogonal symmetric Toeplitz matrices for compressed sensing: Statistical isometry property
Recently, the statistical restricted isometry property (RIP) has been formulated to analyze the performance of deterministic sampling matrices for compressed sensing. In this paper...
Kezhi Li, Lu Gan, Cong Ling
CORR
2010
Springer
149views Education» more  CORR 2010»
13 years 5 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
ICASSP
2011
IEEE
12 years 9 months ago
Deterministic compressed-sensing matrices: Where Toeplitz meets Golay
Recently, the statistical restricted isometry property (STRIP) has been formulated to analyze the performance of deterministic sampling matrices for compressed sensing. In this pa...
Kezhi Li, Cong Ling, Lu Gan
JMLR
2010
158views more  JMLR 2010»
13 years 16 days ago
Restricted Eigenvalue Properties for Correlated Gaussian Designs
Methods based on 1-relaxation, such as basis pursuit and the Lasso, are very popular for sparse regression in high dimensions. The conditions for success of these methods are now ...
Garvesh Raskutti, Martin J. Wainwright, Bin Yu