Simon Foucart
Simon Foucart
Professor of Mathematics, Texas A&M University
Verified email at - Homepage
Cited by
Cited by
A mathematical introduction to compressive sensing
S Foucart, H Rauhut
Birkhäuser, 2013
Sparsest solutions of underdetermined linear systems via ℓq-minimization for 0< q⩽ 1
S Foucart, MJ Lai
Applied and Computational Harmonic Analysis 26 (3), 395-407, 2009
Hard thresholding pursuit: an algorithm for compressive sensing
S Foucart
SIAM Journal on Numerical Analysis 49 (6), 2543-2563, 2011
A note on guaranteed sparse recovery via ℓ1-minimization
S Foucart
Applied and Computational Harmonic Analysis 29 (1), 97-103, 2010
Sparse recovery algorithms: sufficient conditions in terms of restricted isometry constants
S Foucart
Approximation Theory XIII: San Antonio 2010, 65-77, 2012
The Gelfand widths of ℓp-balls for 0< p≤ 1
S Foucart, A Pajor, H Rauhut, T Ullrich
Journal of Complexity 26 (6), 629-640, 2010
Exponential decay of reconstruction error from binary measurements of sparse signals
RG Baraniuk, S Foucart, D Needell, Y Plan, M Wootters
IEEE Transactions on Information Theory 63 (6), 3368-3385, 2017
Stability and robustness of ℓ1-minimizations with Weibull matrices and redundant dictionaries
S Foucart
Linear Algebra and its Applications 441, 4-21, 2012
Nonlinear Approximation and (Deep) ReLU Networks
I Daubechies, R DeVore, S Foucart, B Hanin, G Petrova
Constructive Approximation, 1-46, 2021
Sparse recovery by means of nonnegative least squares
S Foucart, D Koslicki
IEEE Signal Processing Letters 21 (4), 498-502, 2014
Quikr: a Method for Rapid Reconstruction of Bacterial Communities via Compressive Sensing
D Koslicki, S Foucart, G Rosen
Bioinformatics 29 (17), 2096-2102, 2013
On the exact constant in the Jackson–Stechkin inequality for the uniform metric
S Foucart, Y Kryakin, A Shadrin
Constructive approximation 29 (2), 157-179, 2009
Hard thresholding pursuit algorithms: number of iterations
JL Bouchot, S Foucart, P Hitczenko
Applied and computational harmonic analysis 41 (2), 412-435, 2016
WGSQuikr: fast whole-genome shotgun metagenomic classification
D Koslicki, S Foucart, G Rosen
PloS one 9 (3), e91784, 2014
Stability and robustness of weak orthogonal matching pursuits
S Foucart
Recent advances in harmonic analysis and applications, 395-405, 2012
Recovering jointly sparse vectors via hard thresholding pursuit
S Foucart
Proc. SampTA 2011, 2011
Flavors of compressive sensing
S Foucart
International Conference Approximation Theory, 61-104, 2016
One-bit compressive sensing of dictionary-sparse signals
R Baraniuk, S Foucart, D Needell, Y Plan, M Wootters
Information and Inference: A Journal of the IMA 7 (1), 83-104, 2018
Sparse recovery with pre-Gaussian random matrices
S Foucart, MJ Lai
Studia Math 200 (1), 91-102, 2010
Real versus complex null space properties for sparse vector recovery
S Foucart, R Gribonval
Comptes Rendus Mathematique 348 (15-16), 863-865, 2010
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