WORK ON SPARSE/LOW-RANK APPROXIMATION AND COMPRESSED SENSING
BOOK CHAPTERS
Noise-shaping Quantization Methods for Frame-based and Compressive Sampling Systems [arXiv:1502.05807], with E. Chou, S. Gunturk, F. Krahmer and R. Saab, Chapter 4 in "Sampling Theory, A Renaissance" (edited by G. Pfander), pp. 157—184, Birkhäuser, Boston, 2015.
JOURNAL PUBLICATIONS
Memoryless scalar quantization for random frames [arXiv:1804.02839], with K. Melnykova. Submitted.
Learning tensors from partial binary measurements [arXiv:1804.00108]
[journal
version], with N. Ghadermarzy and Y.Plan. IEEE
Transactions on Signal Processing. Accepted. Available
online.
Near-optimal sample complexity for convex tensor completion [arXiv:1711.04965], with N. Ghadermarzy and Y. Plan. Information and Inference. Accepted.
From compressed sensing to compressed bit-streams:
practical encoders, tractable decoders [arXiv:1604.00700]
[journal
version], with R. Saab and R. Wang. IEEE
Transactions on Information Theory. 64 (2):6098–6114
(2018)
Quantization of compressive samples with stable and
robust recovery [arXiv:1504.00087],
with R. Saab and R. Wang. Applied and
Computational Harmonic Analysis. 44(1):123–143
(2018)
Non-Convex Compressed Sensing Using Partial Support
Information [arXiv:1311.3773],
with N. Ghadermarzy and H. Mansour. Journal of Sampling Theory
in Signal and Image Processing. Accepted (2014).
Sigma-Delta quantization of sub-Gaussian frame expansions and its application to compressed sensing [arXiv:1306.4549][journal version], with F. Krahmer and R. Saab. Information and Inference. 3 (1):40–58 (2014)
Improved wavefield reconstruction from randomized sampling via weighted one-norm minimization [preprint version][journal version], with H. Mansour and F. Herrmann. Geophysics. 78(5) V193–V206 (2013)
Sobolev duals for random frames and sigma-delta quantization of compressed sensing measurements [preprint version][journal version], with S. Güntürk, M. Lammers, A. Powell, and R. Saab. Foundations of Computational Mathematics. 13(1):1–36 (2013).
Fighting the curse of dimensionality: compressive sensing in exploration seismology [preprint version][journal version], with M.P. Friedlander and F. Herrmann. IEEE Signal Processing Magazine, 29(3):88–100, 2012.
Recovering Compressively Sampled Signals Using Partial Support Information, [arXiv:1010.4612v1] [journal version] with M.P. Friedlander, H. Mansour, and R. Saab. IEEE Transactions on Information Theory, 58(2):1122-1134, 2012.
Sparse recovery by non-convex optimization -- instance optimality [preprint version] [journal version], with R. Saab, Applied and Computational Harmonic Analysis, 29(1):30-48, 2010.
SPARCO:
A toolbox for testing sparse reconstruction
algorithms [preprint version] [journal version], with E. van den Berg,
M. P. Friedlander, G. Hennenfent, F. Herrmann, and
R. Saab, ACM
Transactions on Mathematical Software, 35(4):1-16, 2009.
Bayesian wavefield
separation by transform-domain sparsity promotion
[journal
version],
with D. Wang, R.
Saab, and F. Herrmann, Geophysics, 73 (5):1-6,2008.
CONFERENCE PROCEEDINGS
Deterministic Compressed Sensing and Quantization [journal version],
with A. Ahmadieh. SPIE Wavelets and Sparsity XVI,
San Diego, Aug 2015.
Near-optimal compression for compressed sensing,
with R. Saab and R. Wang, Data Compression Conference
2015 (DCC2015), accepted.
A sparse randomized Kaczmarz algorithm [journal
version], with H. Mansour, Proceedings of IEEE
Global Conference on Signal and Information Processing
2013.
Weighted approximate message passing algorithms for
sparse recovery [journal version],
with N. Ghadermarzy. SPIE Wavelets and
Sparsity XV, San Diego, Aug 2013.
Sigma-Delta quantization of sub-Gaussian compressed
sensing measurements [journal
version], with F. Krahmer and R. Saab. Proceedings
of International Conference on Sampling
Theory and Applications (SampTA) 2013.
Support driven reweighted 1-norm minimization [preprint version][journal version], with H. Mansour, International Conference on Acoustics, Speech, and Signal Processing (ICASSP), 2012.
Adaptive compressed sensing for video acquisition [preprint version][journal version], with H. Mansour. International Conference on Acoustics, Speech, and Signal Processing (ICASSP) 2012.
Weighted 1-norm minimization with multiple weighting sets, [preprint version], with H. Mansour, SPIE Wavelets and Sparsity XIV, San Diego, Aug 2011.
Sigma-Delta quantization for compressed sensing [journal version], Proceedings of Conference on Information Sciences and Systems (CISS) 2010, with S. Güntürk, M. Lammers, A. Powell, and R. Saab.
Sobolev duals of random frames [journal version], Proceedings of Conference on Information Sciences and Systems (CISS) 2010, with S. Güntürk, M. Lammers, A. Powell, and R. Saab.
Stable Sparse
Approximations via Nonconvex Optimization
[preprint version], International
Conference on Acoustics, Speech, and Signal
Processing (ICASSP), 2008, with R.
]Saab and R. Chartrand.
Curvelet-based Primary-Multiple Separation from a Bayesian Perspective [preprint version] Annual Meeting International Society Exploratory Geophysics, San Antonio, Texas, 2007, with R. Saab, D. Wang, and F. J. Herrmann.
Recent results in curvelet-based primary-multiple separation: application to real data [preprint version], Annual Meeting International Society Exploratory Geophysics, San Antonio, Texas, 2007, with R. Saab, D. Wang, and F. J. Herrmann.