Math @ Duke

Rayan Saab, Visiting Assistant Professor
Please note: Rayan has left the Mathematics department at Duke University; some info here might not be up to date.  Contact Info:
 Specialties:

Applied Math
Analysis
 Research Interests:
Current projects:
Quantization of frame expansions, Quantization of compressed sensing measurements, Generalizations of the empirical mode decomposition
My research draws upon and develops tools in information theory, random matrix theory, frame theory, and geometric functional analysis to solve problems motivated by the acquisition, digitization and processing of signals. My research interests include sparse and lowdimensional representations of high dimensional data, as well as compressed sensing. I am also interested in the digitization of data and in developing and analyzing quantization approaches for both oversampled and compressively sampled signals.
In general, I take an active interest in all areas of signal processing and analysis. For example, I am interested in the source separation problem and have worked on the theory of blind source separation and its application to the cocktail party problem and to seismic signal decomposition, as well as on image processing applications.
 Areas of Interest:
Compressed Sensing/Sparse Approximation Quantization Geometric Functional Analysis Frame Theory
 Recent Publications
(More Publications)
 F. Krahmer, R. Saab, R. Ward, Rootexponential accuracy for coarse quantization of finite frame expansions,
IEEE Transactions on Information Theory
(February, 2012) [pdf]
 M. P. Friedlander, H. Mansour, R. Saab, Ö. Yilmaz, Recovering Compressively Sampled Signals Using Partial Support Information,
IEEE Transactions on Information Theory
(February, 2012) [1010.4612v2]
 A. Powell, R. Saab, O. Yilmaz, Quantization and finite frames,
in Finite frames, edited by P. Casazza, G. Kutyniok
(2012), ISBN 9780817683733
 N. Strawn, A. Armagan, R.Saab, L. Carin, D. Dunson, Finite sample posterior concentration in highdimensional regression
(Submitted, 2012)
 S. Güntürk, M. Lammers, A. Powell, R. Saab, O. Yilmaz., Sobolev duals for random frames and SigmaDelta quantization of compressed sensing measurements,
Foundations of Computational Mathematics
(Accepted, 2012)
 Recent Grant Support
 Banting Postdoctoral Fellowship, Natural Sciences and Engineering Research Council of Canada, 2011/102013/09.


dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

