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
Artificial intelligence, explainability, and the
scientific method: A proof-of-concept study on novel retinal
biomarker discovery [journal
version], with P. Delavari, G. Ozturan, and I. Oruc.
PNAS Nexus, accepted (2023).
Embracing off-the-grid samples [arXiv:2211.02719][journal
version], with O. Lopez. Sampling Theory, Signal
Processing, and Data Analysis, 21, 26 (2023).
A coherence parameter characterizing generative compressed sensing with Fourier measurements [arXiv: 2207.09340][journal version], with A. Berk, S. Brugiapaglia, B. Joshi, Y. Plan, and M. Scott. IEEE Journal on Selected Areas in Information Theory, 3(3), 502-512 (2022).
Learning from few examples: Classifying sex from retinal
images via deep learning [arXiv: 2207.09624][journal
version], with A. Berk, G. Ozturan, P. Delavari, D.
Maberley, and I. Oruc. PLoS ONE 18(8): e0289211 (2023)
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. 68(4): 2573--2603 (2022).
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):6098–6114
(2018)
Quantization of compressive samples with stable and
robust recovery [arXiv:1504.00087][journal
version], 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)
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
Model-adapted Fourier sampling for generative compressed
sensing, with A. Berk, S. Brugiapaglia, Y. Plan, M.
Scott, and X. Sheng. [journal
version] NeurIPS 2023 Workshop on Deep Learning and
Inverse Problems,
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] NeurIPS 2021 Workshop on Deep Inverse.
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.