July 10, 2013: Talk on the modified nonlocal hard-thresholding (mNLHT) algorithm presented at SPARS 2013 available here. Attendant test code is available at the following links: [demo function and test code].
May 16, 2013: Tech. report on a fast randomized Kaczmarz algorithm for finding sparse solutions to linear systems available here.
February 8, 2013: I will be joining the Multimedia Group of Mitsubishi Electric Research Laboratories on March 1st, 2013.
August 15, 2012: Talk motivating and describing the WSPGL1 algorithm is now available from here.
June 4, 2012: The WSPGL1 code is now available for download. [code page]
"Reweighted algorithms for sparse signal recovery," MIT Media Lab, Cambridge, MA, May 2013. [pdf]
"Beyond $\ell_1$ minimization for sparse signal recovery," Alberta - BC Meeting on Applied Harmonic Analysis, Vancouver, BC, August 2012. [pdf]
"Weighted $\ell_1$ minimization: support recovery guarantees and an iterative algorithm," Applied Harmonic Analysis and Multiscale Computing (AHAMC), Edmonton, Alberta, July 2011. [pdf]
"Weighted $\ell_1$ minimization: Stability, robustness, and some implications," Banff Workshop on Sparse and Low Rank Approximation, Banff - Alberta, March 2011. [pdf]
"Recovery of Compressively Sampled Signals Using Partial Support Information," Canadian Mathematical Society Winter Meeting, Vancouver - BC, December 2010. [pdf]
My research interests include the analysis, development, and application of sparse signal reconstruction algorithms for distorted and compressively sampled image and video signals which share common support bases. In particular, I am interested in the development of convex relaxations for the recovery of jointly sparse signals, such as the color spaces in images and the temporally dependent frames in video signals.
In January 2010 I joined Dr. Ozgur Yilmaz and Dr. Michael Friedlander as a post-doctoral research fellow with the Departments of Mathematics and Computer Science at the University of British Columbia.