For Most Large Underdetermined Systems of Linear Equations the Minimal ℓ1-norm Solution is also the Sparsest Solution (2004)

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by David L. Donoho
Venue:Comm. Pure Appl. Math
Citations:218 - 7 self

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38 For most large underdetermined systems of equations, the minimal l1-norm near-solution approximates the sparsest near-solution – David L. Donoho - 2004
917 Compressed sensing – David L. Donoho
95 From Sparse Solutions of Systems of Equations to Sparse Modeling of Signals and Images – Alfred M. Bruckstein, David L. Donoho, Michael Elad - 2007
116 Sparse solution of underdetermined linear equations by stagewise orthogonal matching pursuit – David L. Donoho, Yaakov Tsaig, Iddo Drori, Jean-luc Starck - 2006
7 Sparse Representations are Most Likely to be the Sparsest Possible – Michael Elad - 2004
21 Denoising by Sparse Approximation: Error Bounds Based on Rate-Distortion Theory – Alyson K. Fletcher, Sundeep Rangan, Vivek K Goyal, Kannan Ramchandran - 2006
Compressive sensing: a paradigm shift in signal processing – Olga V. Holtz - 812
31 Fast solution of ℓ1-norm minimization problems when the solution may be sparse – David L. Donoho, Yaakov Tsaig - 2006
359 Decoding by Linear Programming – Emmanuel Candes, Terence Tao - 2004
3 Morphological Diversity and Sparsity for Multichannel Data Restoration – J. Bobin, Y. Moudden, J. Fadili, J.-L. Starck - 2008
9 Compressive Sensing and Structured Random Matrices – Holger Rauhut
QUALCOMM Flarion Technologies – Alyson K. Fletcher, Sundeep Rangan, Vivek K Goyal
An Efficient Algorithm for . . . Pixel Camera and Compressive Sensing – Chengbo Li - 2009
4 Compressive Sensing – Massimo Fornasier, Holger Rauhut - 2010
185 Just Relax: Convex Programming Methods for Identifying Sparse Signals in Noise – Joel A. Tropp - 2006
1 Blind Source Separation: the Sparsity Revolution – J. Bobin , J.-L. Starck , Y. Moudden , M. J. Fadili - 2008
25 Theoretical results on sparse representations of multiple-measurement vectors – Jie Chen, Xiaoming Huo - 2006
1 Sparse Approximation, Denoising, and Large Random Frames – Alyson K. Fletcher, Sundeep Rangan, Vivek K Goyal
61 Sparse reconstruction by convex relaxation: Fourier and Gaussian measurements – Mark Rudelson - 2006