Compressed Sensing: How Sharp Is the Restricted Isometry Property?

Optimally Tuned Iterative Reconstruction Algorithms for Compressed Sensing

(2010) A. Maleki et al.   IEEE Journal of Selected Topics in Signal Processing

Compressed Synthetic Aperture Radar

(2010) V.M. Patel et al.   IEEE Journal of Selected Topics in Signal Processing

Exponential Bounds Implying Construction of Compressed Sensing Matrices, Error-Correcting Codes, and Neighborly Polytopes by Random Sampling

(2010) David L. Donoho et al.   IEEE TRANSACTIONS ON INFORMATION THEORY

A numerical exploration of compressed sampling recovery

(2010) Charles Dossal et al.   LINEAR ALGEBRA AND ITS APPLICATIONS

Iterative hard thresholding for compressed sensing

(2009) Thomas Blumensath et al.   APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS

Sparse recovery by non-convex optimization – instance optimality

(2009) Rayan Saab et al.   APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS

Decay Properties of Restricted Isometry Constants

(2009) J.D. Blanchard et al.   IEEE SIGNAL PROCESSING LETTERS

Subspace Pursuit for Compressive Sensing Signal Reconstruction

(2009) Wei Dai et al.   IEEE TRANSACTIONS ON INFORMATION THEORY

From Sparse Solutions of Systems of Equations to Sparse Modeling of Signals and Images

(2009) Alfred M. Bruckstein et al.   SIAM REVIEW

Sparsest solutions of underdetermined linear systems via ℓq-minimization for 0<q⩽1

(2008) Simon Foucart et al.   APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS

CoSaMP: Iterative signal recovery from incomplete and inaccurate samples

(2008) D. Needell et al.   APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS

The restricted isometry property and its implications for compressed sensing

(2008) Emmanuel J. Candès   COMPTES RENDUS MATHEMATIQUE

Uniform Uncertainty Principle and Signal Recovery via Regularized Orthogonal Matching Pursuit

(2008) Deanna Needell et al.   FOUNDATIONS OF COMPUTATIONAL MATHEMATICS

Compressed Sensing MRI

(2008) M. Lustig et al.   IEEE SIGNAL PROCESSING MAGAZINE

Single-pixel imaging via compressive sampling

(2008) Marco F. Duarte et al.   IEEE SIGNAL PROCESSING MAGAZINE

Fast Solution of $\ell _{1}$-Norm Minimization Problems When the Solution May Be Sparse

(2008) David L. Donoho et al.   IEEE TRANSACTIONS ON INFORMATION THEORY

Restricted isometry properties and nonconvex compressive sensing

(2008) Rick Chartrand et al.   INVERSE PROBLEMS

Counting faces of randomly projected polytopes when the projection radically lowers dimension

(2008) David L. Donoho et al.   JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY

Bregman Iterative Algorithms for $\ell_1$-Minimization with Applications to Compressed Sensing

(2008) Wotao Yin et al.   SIAM Journal on Imaging Sciences

Probing the Pareto Frontier for Basis Pursuit Solutions

(2008) Ewout van den Berg et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

On the conditioning of random subdictionaries

(2007) Joel A. Tropp   APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS

On sparse reconstruction from Fourier and Gaussian measurements

(2007) Mark Rudelson et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS