Selected Publications
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Academic Article
- The Generalized Matrix Separation Problem: Algorithms. BIT Numerical Mathematics. 66. 2026-07-01
- Phase Transitions for the Minimizers of the p-Frame Potentials in R^2. SIAM Journal on Discrete Mathematics. 2024-09-01
- A Unified Recovery of Structured Signals Using Atomic Norm. Information and Inference: A Journal of the IMA. 2024-01-01
- Inpainting via sparse recovery with directional constraints. Mathematical Foundations of Computing. 2022-11-01
- On the Search for Tight Frames of Low Coherence. Journal of Fourier Analysis and Applications. 27. 2021-02-01
- Regularized Kaczmarz Algorithms for Tensor Recovery. SIAM Journal on Imaging Sciences. 14:1439-1471. 2021-01-01
- Preserving injectivity under subgaussian mappings and its application to compressed sensing. Applied and Computational Harmonic Analysis. 49:451-470. 2020-09-01
- Universal optimal configurations for the p-frame potentials. Advances in Computational Mathematics. 46. 2020-02-01
- The Kaczmarz algorithm, row action methods, and statistical learning algorithms -- Contemporary Mathematics. Contemporary Mathematics. 115-127. 2018-01-01
- Frame scalings: A condition number approach. Linear Algebra and its Applications. 523:152-168. 2017-06-01
- The gap between the null space property and the restricted isometry property. Linear Algebra and its Applications. 501:363-375. 2016-07-01
- Randomized Subspace Actions and Fusion Frames. Constructive Approximation. 43:103-134. 2016-02-01
- Hildreth’s algorithm with applications to soft constraints for user interface layout. Journal of Computational and Applied Mathematics. 288:193-202. 2015-11-01
- Measures of Scalability. IEEE Transactions on Information Theory. 61:4410-4423. 2015-08-01
- Tightness of stability bounds by null space property -- SPIE Proceedings. SPIE. 2015-08-01
- A null space analysis of the l1-synthesis method in dictionary-based compressed sensing. Applied and Computational Harmonic Analysis. 37:492-515. 2014-11-01
- A note on scalable frames. 10th International Conference on Sampling Theory and Applications. 2013-07-01
- A null space property approach to compressed sensing with frames. 10th International Conference on Sampling Theory and Applications. 2013-07-01
- Almost Sure Convergence of the Kaczmarz Algorithm with Random Measurements. Journal of Fourier Analysis and Applications. 18:1195-1214. 2012-12-01
- Perturbations of measurement matrices and dictionaries in compressed sensing. Applied and Computational Harmonic Analysis. 33:282-291. 2012-09-01
- Stability and robustness of lq minimization using null space property. SampTA 2011. 2011-05-01
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Chapter
- Sparse Recovery for Overcomplete Frames: Sensing Matrices and Recovery Guarantees -- Sampling, Frames, and Harmonic Analysis. Applied and Numerical Harmonic Analysis. Birkhäuser. 2026-09-01
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Document
- Stability of compressed sensing for dictionaries and almost sure convergence rate for the Kaczmarz algorithm. Vanderbilt University. 2012-01-01