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PUBLICATIONS

BOOK CHAPTERS/EDITED BOOKS

Excursions in Harmonic Analysis, Vol. VI; Hirn, M., Li, S., Okoudjou, K., Saliani, S., Yilmaz, Ö. (Eds.), Birkhauser Basel, 2021

Quantization, finite frames, and error diffusion, with A. Dunkel, A. Powell, and A. Spaeth, Proceedings of Symposia in Applied Mathematics on Finite Frame Theory: A Complete Introduction to Overcompleteness, AMS PSAPM Book Series Vol 73 (edited by Kasso Okoudjou) , pp. 143--174, 2016.

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.  

Quantization and Finite Frames, with A. Powell and R. Saab, Chapter 8 (pages 267-302) in "Finite frames: Theory and Applications" (edited by P. Casazza and G. Kutyniok), Birkhauser, Boston, 2012.


JOURNAL PUBLICATIONS

On the best choice of LASSO program given data parameters [arXiv:2010.08884][journal version], with A. Berk and Y.Plan. IEEE Transactions on Information Theory. In press (available online) (2021).

NBIHT: An Efficient Algorithm for 1-bit Compressed Sensing with Optimal Error Decay Rate [arXiv:2012.12886], with M. Friedlander, H. Jeong, and Y. Plan. IEEE Transactions on Information Theory, 68(2): 1157--1177 (2022).

Sub-Gaussian Matrices on Sets: Optimal Tail Dependence and Applications [arXiv:2001.10631] [journal version] with H. Jeong, X. Li, and Y. Plan. Communications on Pure and Applied Mathematics. In press (available online)  (2021).

Memoryless scalar quantization for random frames [arXiv:1804.02839] [journal version], with K. Melnykova. Sampling Theory, Signal Processing, and Data Analysis, 19, 12 (2021).

Sensitivity of ℓ1 minimization to parameter choice [arXiv:1810.11968] [journal version], with A. Berk and Y. Plan. Information and Inference. 10(2):397--453 (2021).

Learning tensors from partial binary measurements [arXiv:1804.00108] [journal version], with N. Ghadermarzy and Y.Plan. IEEE Transactions on Signal Processing. 67(1): 29–40, 2019.

Near-optimal sample complexity for convex tensor completion [arXiv:1711.04965], with N. Ghadermarzy and Y. Plan. Information and Inference. 8(3): 577–619, 2019.

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):60986114 (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)

Off the grid low rank matrix recovery and seismic data reconstruction [abstract][journal version], with O. Lopez, R. Kumar, and F. Herrmann. IEEE Journal of Selected Topics in Signal Processing. 10 (4): 658--671 (2016)

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. 13 (3):249–270 (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)

Phase aliasing correction for robust blind source separation using DUET [preprint version][journal version], with Y. Wang and Z. Zhou. Applied and Computational Harmonic Analysis. 35(2):341–349 (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.

Coarse quantization for random interleaved sampling of bandlimited signals [preprint version][journal version], with A. Powell, J. Tanner, and Y. Wang, ESAIM: Mathematical Modelling and Numerical Analysis. 46(3):605–618, 2012.

The Golden Ratio Encoder [arXiv:0809.1257v1] [journal version], with I. Daubechies, S. Güntürk, and Y. Wang, IEEE Transactions on Information Theory, 56(10):5097-5110, 2010.

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.

Sobolev duals in frame theory and sigma-delta quantization [preprint version] [journal version] [erratum], with J. Blum, M. Lammers, and A. Powell, Journal of Fourier Analysis and Applications, 16(3):365-381, 2010.

Alternative dual frames for digital-to-analog conversion in sigma-delta quantization [preprint version] [journal version], with M. Lammers and A. Powell, Advances in Computational Mathematics, 32(1):73-102, 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.

Underdetermined Anechoic Blind Source Separation via l^q-Basis-Pursuit with $q<1$ [preprint version] [journal version], with R. Saab, R. Abugharbieh, and M. McKeown, IEEE Transactions on Signal Processing, 55(8):4004-4017, 2007.

Robust and practical analog-to-digital conversion with exponential precision [preprint version] [journal version],  with I. Daubechies, IEEE Transactions on Information Theory, 52(8):3533-3545, 2006.

Sigma-Delta quantization and finite frames [preprint verision] [journal version], with J. Benedetto and A. Powell, IEEE Transactions on Information Theory, 52(5):1990-2005, 2006.

Second order Sigma-Delta quantization of finite frame expansions [preprint version] [journal version], with J. Benedetto and A. Powell, Applied and Computational Harmonic Analysis, 20(1):126-148, 2006 .

On coarse quantization of tight Gabor frame expansions [preprint version] [journal version], International Journal of Wavelets, Multiresolution and Information Processing, 3(2):283-299, 2005.

Blind separation of speech mixtures via time-frequency masking [preprint version] [journal version], with S. Rickard, IEEE Transactions on Signal Processing, 52(7):1830-1847, 2004. 

Coarse quantization of highly redundant time-frequency representations of square-integrable functions [preprint version] [journal version], Applied and Computational Harmonic Analysis, 14(2):107-132, 2003.

Stability analysis for several sigma-delta methods of coarse quantization of bandlimited functions [preprint version] [journal version], Constructive Approximation, 18(4):599-623, 2002.  



CONFERENCE PROCEEDINGS

PLUGIn: A simple algorithm for inverting generative models with recovery guarantees, with B. Joshi, X. Li, and Y. Plan. [journal version] Proceedings of NeurIPS (2021). Accepted for a Spotlight presentation.

PLUGIn-CS: A simple algorithm for compressive sensing with generative prior, with B. Joshi, X. Li, and Y. Plan. [journal version] Proceedings of NeurIPS (2021).

Learning from few examples: Classifying sex from retinal images, with A. Berk, G. Ozturan, D. Maberley, and I. Oruc. Proceedings of the Vision Sciences Society. Journal of Vision. 20 (2020), no. 11, 255

Non-Gaussian Random Matrices on Sets: Optimal Tail Dependence and Applications, with H. Jeong, X. Li, and Y. Plan. Proceedings of the International Conference on Sampling Theory and Applications (SampTA) 2019.

On one-stage recovery for Sigma-Delta-quantized compressed sensing, with A. Arian. Proceedings of the International Conference on Sampling Theory and Applications (SampTA) 2019.

Parameter Instability Regimes in Sparse Proximal Denoising Programs, with A. Berk and Y. Plan. Proceedings of the International Conference on Sampling Theory and Applications (SampTA) 2019.

A Kaczmarz Method for Low Rank Matrix Recovery, with H. Mansour and U. Kamilov. Proceedings of Signal Processing with Adaptive Sparse Structural Representation (SPARS) 2017, Lisbon, Portugal, 2017.

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 [journal version], with R. Saab and R. Wang, Data Compression Conference 2015 (DCC2015).

Seismic trace interpolation with approximate message passing [journal version], with N. Ghadermarzy and F. Herrmann, Annual Meeting International Society Exploratory Geophysics (SEG), Denver, Colorado, 2014.

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], with S. Güntürk, M. Lammers, A. Powell, and R. Saab, Proceedings of Conference on Information Sciences and Systems (CISS) 2010.

Sobolev duals of random frames [journal version], with S. Güntürk, M. Lammers, A. Powell, and R. Saab, Proceedings of Conference on Information Sciences and Systems (CISS) 2010

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.

On quantization of finite frame expansions: sigma-delta schemes of arbitrary order [preprint version] [journal version], with M. Lammers and A. Powell, SPIE, Wavelets XII, San Diego, Aug. 2007.

Blind Separation of Anechoic Underdetermined Speech Mixtures Using Multiple Sensors [journal version], with R. Saab, R. Abugharbieh, and M. McKeown, Proceedings of International Symposium on Signal Processing and Information Theory (ISSPIT06), Vancouver, Canada, 2006

Analog-to-digital conversion for finite frames [preprint version] [journal version], SPIE, Wavelets XI, San Diego, Jul. 2005, (invited), with J. Benedetto and A. Powell,

Sigma-delta quantization and finite frames [preprint version] [journal version], with J. Benedetto and A. Powell, Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing, May 2004, pp. 937 - 940, (invited).

On the W-disjoint orthogonality of speech [preprint version] [journal version], with S. Rickard, Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing, May 2002, pp. 529 - 532.

Blind Separation of Disjoint Orthogonal Signals: Demixing n Sources From Two Mixtures [preprint version] [journal version], with S. Rickard and A. Jourjine, Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing, Jun 2000, pp. 2985 - 2988.


ArXiv PREPRINTS/SUBMITTED PAPERS

RIP constants for deterministic compressed sensing matrices -- beyond Gershgorin [arXiv:1911.07428], with A. Arian. 2019.

Deterministic partial binary circulant compressed sensing matrices [arXiv:1911.07497], with A. Arian. 2019.

On one-stage recovery for ΣΔ-quantized compressed sensing [arXiv:1911.07525] , with A. Arian. 2019.