WORK ON SPARSE APPROXIMATIONS AND COMPRESSED SENSING

JOURNAL PUBLICATIONS

Improved wavefield reconstruction from randomized sampling via weighted one-norm minimization [abstract], with H. Mansour and F. Herrmann. Submitted.

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.

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, available online, 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

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.