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$\ell_1$ minimization is often used for finding the sparse solutions of an under-determined linear system.
Geometría integral enespacios de curvatura constante
L. A. Santaló · 1952
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Distributions of eigenvalues for some sets of random matrices
V. A. Mar v · 1967
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Grassmann angles of convex polytopes
Branko Grünbaum · 1968
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Robust modeling with erratic data
J. F. Claerbout and F. Muir · 1973
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Non-linear angle-sum relations for polyhedral cones and polytopes
Peter McMullen · 1975
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Gitterpunktanzahl im simplex und wills¡¯sche vermutung
H. Hadwiger · 1979
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A limit theorem for the norm of random matrices
Stuart Geman · 1980
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The smallest eigenvalue of a large dimensional wishart matrix
J. W. Silverstein · 1985
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An Introduction to Differential Manifolds and Riemannian Geometry
W. M. Boothby · 1986
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Random projections of regular simplices
Fernando Affentranger and Rolf Schneider · 1992
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Asymptotic behavior of the number of faces of random polyhedra and the neighborliness problem
A. M. Vershik and P. V. Sporyshev · 1992
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Random projections of regular polytopes
Jr. Károly Böröczky and Martin Henk · 1999
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On sparse representation in pairs of bases
A. Feuer and A. Nemirovski · 2003
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Convex polytopes
Branko Grünbaum · 2003
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Stable signal recovery from incomplete and inaccurate measurements
Emmanuel J. Candès, Justin Romberg, and Terence Tao · 2005
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Decoding by linear programming
Emmanuel J. Candès and Terence Tao · 2005
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Neighborliness of randomly projected simplices in high dimensions
David L. Donoho and Jared Tanner · 2005
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Aspects of Multivariate Statistical Theory
R. J. Muirhead · 2005
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Compressive sampling
E. J. Candès · 2006
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Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
A remark on compressed sensing
Boris S. Kashin and Vladimir N. Temlyakov · 2007
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A simple proof of the restricted isometry property for random matrices
R. Baraniuk, M. Davenport, R. DeVore, and M. Wakin · 2008
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Compressed sensing and best k k -term approximation
A. Cohen, W. Dahmen, and R. DeVore · 2008
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Compressed sensing - probabilistic analysis of a null-space characterization
Mihailo Stojnic, Weiyu Xu, and Babak Hassibi · 2008
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Compressed sensing of approximately sparse signals
Mihailo Stojnic, Weiyu Xu, and Babak Hassibi · 2008
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Compressed sensing over the grassmann manifold: A unified analytical framework
Weiyu Xu and Babak Hassibi · 2008
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E. J. Candès, J. Romberg, and T. Tao · 2006
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Compressed sensing
D. L. Donoho · 2006
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High-dimensional centrally symmetric polytopes with neighborliness proportional to dimension
David Donoho · 2006
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How neighborly can a centrally symmetric polytope be?
N. Linial and I. Novik · 2006
Cited alongside, same era.
Random filters for compressive sampling and reconstruction
J. Tropp, M. Wakin, M. Duarte, D. Baron, and R. Baraniuk · 2006
Cited alongside, same era.
Sharp thresholds for noisy and high-dimensional recovery of sparsity using ℓ 1 \ell_{1} -constrained quadratic programming
M. Wainwright · 2006
Cited alongside, same era.
Theory of compressive sensing via ℓ 1 \ell_{1} -minimization: a non-rip analysis and extensions
Y. Zhang · 2008
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The restricted isometry property and ℓ q \ell_{q} regularization: Phase transitions for sparse approximation
J. D. Blanchard, C. Cartis, and J. Tanner · 2009
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Weighted ℓ 1 \ell_{1} minimization for sparse recovery with prior informationn
M. Amin Khajehnejad, Weiyu Xu, Amir Salman Avestimehr, and Babak Hassibi · 2009
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Various thresholds for ℓ 1 \ell_{1} -optimization in compressed sensing
Mihailo Stojnic · 2009
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Derivation of compressive sensing theorems for the spherical section property
S. Vavasis · 2009
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The noise-sensitivity phase transition in compressed sensing
D. Donoho, A. Maleki, and A. Montanari · 2010
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Breaking through the thresholds: an analysis for iterative reweighted ℓ 1 \ell_{1} minimization via the Grassmann angle framework
Weiyu Xu, Amin Khajehnejad, Amir Salman Avestimehr, and Babak Hassibi · 2010
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