Stable signal recovery from incomplete and inaccurate measurements

Convex Optimization

2004 • 36,308 citations

Convex Optimization

2004 • 32,626 citations

Compressed sensing

2004 • 17,943 citations

Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information

2006 • 15,406 citations

Nonlinear total variation based noise removal algorithms

1992 • 14,826 citations

Decoding by Linear Programming

2005 • 7,139 citations

Atomic Decomposition by Basis Pursuit

1998 • 6,927 citations

Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies?

2006 • 6,838 citations

Atomic Decomposition by Basis Pursuit

2001 • 5,007 citations

Optimally sparse representation in general (nonorthogonal) dictionaries via ℓ ¹ minimization

2003 • 2,930 citations

For most large underdetermined systems of linear equations the minimal 𝓁₁‐norm solution is also the sparsest solution

2006 • 2,526 citations

Stable recovery of sparse overcomplete representations in the presence of noise

2005 • 2,232 citations

Uncertainty principles and ideal atomic decomposition

2001 • 1,996 citations

Just relax: convex programming methods for identifying sparse signals in noise

2006 • 1,448 citations

Image compression through wavelet transform coding

1992 • 926 citations

Quantitative Robust Uncertainty Principles and Optimally Sparse Decompositions

2005 • 510 citations

Improved time bounds for near-optimal sparse Fourier representations

2005 • 219 citations

Second-order Cone Programming Methods for Total Variation-Based Image Restoration

2005 • 198 citations

Condition numbers of random matrices

1991 • 172 citations

Theoretical and experimental analysis of a randomized algorithm for Sparse Fourier transform analysis

2005 • 34 citations