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IEEE Transactions on Information Theory, ISSN 0018-9448, 06/2013, Volume 59, Issue 6, pp. 3448 - 3450
This paper is concerned with an important matrix condition in compressed sensing known as the restricted isometry property (RIP). We demonstrate that testing... 
restricted isometry property | Educational institutions | Polynomials | Complexity theory | Sparks | Compressed sensing | Testing | computational complexity | COMPUTER SCIENCE, INFORMATION SYSTEMS | MATRICES | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
SIAM Journal on Mathematical Analysis, ISSN 0036-1410, 2011, Volume 43, Issue 3, pp. 1269 - 1281
Consider an m x N matrix Phi with the restricted isometry property of order k and level delta; that is, the norm of any k-sparse vector in R-N is preserved to... 
Johnson-Lindenstrauss lemma | Restricted isometry property | Optimal asymptotics | Rademacher chaos | optimal asymptotics | MATHEMATICS, APPLIED | INEQUALITIES | RECONSTRUCTION | SIGNAL RECOVERY | LEMMA | PROOF | ALGORITHMS | restricted isometry property | WIDTHS | RANDOM PROJECTIONS | Studies | Mathematical analysis | Asymptotic methods
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 09/2010, Volume 56, Issue 9, pp. 4388 - 4394
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 08/2015, Volume 61, Issue 8, pp. 4440 - 4450
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 08/2018, Volume 64, Issue 8, pp. 5488 - 5497
A matrix is said to possess the restricted isometry property (RIP), if it acts as an approximate isometry when restricted to sparse vectors. Previous work has... 
restricted isometry property | Minimization | Sensors | Sparse matrices | Indexes | Computational complexity | Compressed sensing | computational complexity | COMPUTER SCIENCE, INFORMATION SYSTEMS | PROOF | SHARP | CONSTRUCTIONS | ENGINEERING, ELECTRICAL & ELECTRONIC | Parameters | Computer Science - Computational Complexity
Journal Article
by Qun Mo and Yi Shen
IEEE Transactions on Information Theory, ISSN 0018-9448, 06/2012, Volume 58, Issue 6, pp. 3654 - 3656
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 08/2016, Volume 62, Issue 8, pp. 4733 - 4747
This paper discusses the reconstruction of signals from few measurements in the situation that signals are sparse or approximately sparse in terms of a general... 
sparse recovery | l-{q}$ -analysis | data separation | frames | restricted isometry property | Compressed sensing | SPARSE REPRESENTATIONS | l(q)-analysis | RECONSTRUCTION | SIGNAL RECOVERY | COMPUTER SCIENCE, INFORMATION SYSTEMS | SIMULTANEOUS CARTOON | ENGINEERING, ELECTRICAL & ELECTRONIC | TIGHT FRAMES | UNION
Journal Article
IEEE Transactions on Signal Processing, ISSN 1053-587X, 03/2018, Volume 66, Issue 5, pp. 1170 - 1183
Journal Article
Applied and Computational Harmonic Analysis, ISSN 1063-5203, 11/2019
Dimensionality reduction is in demand to reduce the complexity of solving large-scale problems with data lying in latent low-dimensional structures in machine... 
Dimensionality reduction | Subspace clustering | Random projection | Low-dimensional subspaces | Restricted Isometry Property | Gaussian random matrix
Journal Article
Applied and Computational Harmonic Analysis, ISSN 1063-5203, 01/2015, Volume 38, Issue 1, pp. 1 - 31
In Compressive Sensing, the Restricted Isometry Property (RIP) ensures that robust recovery of sparse vectors is possible from noisy, undersampled measurements... 
Restricted isometry property | Block diagonal matrices | Compressive sensing | COMPRESSED SENSING MATRICES | MATHEMATICS, APPLIED | PHASE-TRANSITIONS | EMBEDDINGS | PHYSICS, MATHEMATICAL | Electrical engineering | Computer science | Algorithms | Analysis
Journal Article
IEEE Transactions on Signal Processing, ISSN 1053-587X, 04/2018, Volume 66, Issue 7, pp. 1705 - 1720
Journal Article
Journal of Fourier Analysis and Applications, ISSN 1069-5869, 12/2013, Volume 19, Issue 6, pp. 1123 - 1149
Journal Article
Journal Article
by Lu, Ran
Journal of Approximation Theory, ISSN 0021-9045, 09/2019, Volume 245, pp. 1 - 22
The study of the restricted isometry property (RIP) of corrupted random matrices is particularly important in the field of compressed sensing (CS) with... 
Strong restricted isometry property | Johnson–Lindenstrauss lemma | Bernoulli random matrices | Compressed sensing | MATHEMATICS | Johnson-Lindenstrauss lemma
Journal Article
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