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Simon Foucart
Simon Foucart
Professor of Mathematics, Texas A&M University
Verified email at tamu.edu - Homepage
Title
Cited by
Cited by
Year
A mathematical introduction to compressive sensing
S Foucart, H Rauhut
Birkhäuser, 2013
3579*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
8992009
Hard thresholding pursuit: an algorithm for compressive sensing
S Foucart
SIAM Journal on numerical analysis 49 (6), 2543-2563, 2011
5492011
A note on guaranteed sparse recovery via ℓ1-minimization
S Foucart
Applied and Computational Harmonic Analysis 29 (1), 97-103, 2010
2542010
Nonlinear Approximation and (Deep) Networks
I Daubechies, R DeVore, S Foucart, B Hanin, G Petrova
Constructive Approximation 55 (1), 127-172, 2022
2352022
Sparse recovery algorithms: sufficient conditions in terms of restricted isometry constants
S Foucart
Approximation Theory XIII: San Antonio 2010, 65-77, 2012
1752012
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
1472010
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
1302017
Stability and robustness of ℓ1-minimizations with Weibull matrices and redundant dictionaries
S Foucart
Linear Algebra and its Applications 441, 4-21, 2012
772012
Sparse recovery by means of nonnegative least squares
S Foucart, D Koslicki
IEEE Signal Processing Letters 21 (4), 498-502, 2014
732014
Hard thresholding pursuit algorithms: number of iterations
JL Bouchot, S Foucart, P Hitczenko
Applied and computational harmonic analysis 41 (2), 412-435, 2016
632016
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
612009
Quikr: a Method for Rapid Reconstruction of Bacterial Communities via Compressive Sensing
D Koslicki, S Foucart, G Rosen
Bioinformatics 29 (17), 2096-2102, 2013
582013
WGSQuikr: fast whole-genome shotgun metagenomic classification
D Koslicki, S Foucart, G Rosen
PloS one 9 (3), e91784, 2014
512014
Stability and robustness of weak orthogonal matching pursuits
S Foucart
Recent Advances in Harmonic Analysis and Applications: In Honor of …, 2012
472012
Flavors of compressive sensing
S Foucart
Approximation Theory XV: San Antonio 2016 15, 61-104, 2017
412017
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
352018
Recovering jointly sparse vectors via hard thresholding pursuit
S Foucart
Proc. SampTA 2011, 2011
352011
Weighted matrix completion from non-random, non-uniform sampling patterns
S Foucart, D Needell, R Pathak, Y Plan, M Wootters
IEEE Transactions on Information Theory 67 (2), 1264-1290, 2020
272020
Sparse recovery with pre-Gaussian random matrices
S Foucart, MJ Lai
Studia Math 200 (1), 91-102, 2010
272010
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