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In the theory of compressed sensing (CS), the sparsity ||x||_0 of the unknown signal x\in\R^p is commonly assumed to be a known parameter.
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Stable signal recovery from incomplete and inaccurate measurements
E.J. Candès, J.K. Romberg, and T. Tao · 2006
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M. Rudelson and R. Vershynin · 2007
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D.M. Malioutov, S. Sanghavi, and A.S. Willsky · 2008
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Generalized sure for exponential families: Applications to regularization
Y.C. Eldar · 2009
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The stability of low-rank matrix reconstruction: a constrained singular value view
G. Tang and A. Nehorai · 2010
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On the fundamental limits of adaptive sensing
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Tight oracle inequalities for low-rank matrix recovery from a minimal number of noisy random measurements
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Testing the nullspace property using semidefinite programming
A. d’Aspremont and L. El Ghaoui · 2011
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Comparing measures of sparsity
N. Hurley and S. Rickard · 2009
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Compressed sensing with cross validation
R. Ward · 2009
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New bounds for restricted isometry constants
T.T. Cai, L. Wang, and G. Xu · 2010
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The convex algebraic geometry of linear inverse problems
V. Chandrasekaran, B. Recht, P.A. Parrilo, and A.S. Willsky · 2010
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Inequalities: theory of majorization and its applications
A.W. Marshall, I. Olkin, and B.C. Arnold · 2010
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Introduction to compressed sensing
M.A. Davenport, M.F. Duarte, YC Eldar, and G. Kutyniok · 2011
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On verifiable sufficient conditions for sparse signal recovery via ℓ 1 \ell_{1} minimization
A. Juditsky and A. Nemirovski · 2011
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A more powerful two-sample test in high dimensions using random projection
M. Lopes, L. Jacob, and M.J. Wainwright · 2011
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Are sparse representations really relevant for image classification?
R. Rigamonti, M.A. Brown, and V. Lepetit · 2011
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Is face recognition really a compressive sensing problem?
Q. Shi, A. Eriksson, A. van den Hengel, and C. Shen · 2011
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Performance analysis of sparse recovery based on constrained minimal singular values
G. Tang and A. Nehorai · 2011
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