1. Decay properties for restricted isometry constants. (with Jeffrey D. Blanchard and Coralia Cartis)
2. The restricted isometry property and l^q-regularization: Phase transitions for sparse approximation. (with Jeffrey D. Blanchard and Coralia Cartis)
3. Counting the faces of randomly-projected hypercubes and orthants, with applications; submited Discrete and Computational Geometry. (with David L. Donoho)
4. Exponential bounds implying construction of compressed sensing matrices, error-correcting codes and neighborly polytopes by random sampling. (with David L. Donoho)
5. Identification of Matrices having a Sparse Representation; IEEE Transactions on Signal Processing, Vol. 56(11) (2008) 5376-5388. (with Gotz E. Pfander and Holger Rauhut)
6. Counting faces of randomly-projected polytopes when the projection radically lowers dimension; Journal of the AMS, Vol. 22(1) (2009) 1-53. (with David L. Donoho)
7.
Neighborliness of
Randomly-Projected Simplices in High Dimensions; Proceedings of the
8.
Sparse Nonnegative
Solutions of Underdetermined Linear Equations by Linear Programming; Proceedings
of the
9. Robust reprojection methods for the resolution of Gibbs phenomenon ; Applied and Computational Harmonic Analysis, Vol. 20(1) (2006) 3-25. (with Anne Gelb)
10. Fast reconstruction methods for bandlimited functions from periodic nonuniform sampling ; SIAM J. on Numerical Analysis, Vol. 44(3) (2006) 1073-1094. (with Thomas Strohmer)
11. Optimal Filter and Mollifier for Piecewise Smooth Spectral Data ; Mathematics of Computation, Vol. 75(254) (2006) 767-790.
12. Adaptive Filters for Piecewise Smooth Spectral Data ; IMA Journal of Numerical Analysis, Vol. 25(4) (2005) 635-647. (with Eitan Tadmor)
13. Implementations of Shannon's sampling theorem, a time-frequency approach ; Sampling Theory in Signal and Image Processing, Vol. 4(1) (2005) 1-17. (with Thomas Strohmer)
14. Adaptive Mollifiers - High Resolution Recover of Piecewise Smooth Data from its Spectral Information ; Foundations of Computational Mathematics 2(2) (2002) 155-189. (with Eitan Tadmor)
1. Phase transitions for restricted isometry properties ; Proceedings of Signal Processing with Adaptive Sparse Structured Representations, April 2009. (with Jeffrey D. Blanchard and Coralia Cartis)
2. Fast reconstruction algorithms for periodic nonuniform sampling with applications to time-interleaved ADCs ; Proceedings of IEEE International Conference on Acoustics, Speech and Signal Processing, April 2007. (with Thomas Strohmer)
3. Thresholds for the Recovery of Sparse Solutions via L1 Minimization ; Proceedings of the Conference on Information Sciences and Systems, March 2006. (with David L. Donoho)
4.
An Adaptive Order Godunov Type
Central Scheme ; "Hyperbolic Problems: Theory, Numerics,
Applications", Proceedings of the 9th International Conference in