Ulas Ayaz

  Hi, I am a Postdoctoral Associate at MIT Laboratory for Information and Decision Systems,
  sponsored by Prof. Sertac Karaman. Prior to this position I was a postdoctoral fellow at ICERM,
  Brown University for the academic year 2014-2015. I completed my Ph.D. at Hausdorff Center for
  Mathematics
in Bonn under supervision of  Prof. Holger Rauhut.

My primary research interests are in mathematical signal processing, random matrix theory, geometric functional analysis and compressed sensing. I am especially interested in the analysis of sparse and low-dimensional representations of high-dimensional data. Recently I am looking into online learning problems with applications to robotics. Before my postdoctoral positions, I worked with SONY Corporation on a research project for applying compressed sensing to image sensors. 

Here is my CV and research statement.

Contact:

Massachusetts Institute of Technology

32 Vassar St., Cambridge, MA 02139

Room 32-D716 (Stata Center)

e-mail:  uayaz.mit.edu













Education
  • 2009 - 2014 PhD at Hausdorff Center of Mathematics, Bonn
  • 2007 - 2009 Master of Science in Mathematics at the University of British Columbia, Vancouver
  • 2002 - 2007 Undergraduate Studies in Electrical-Electronics Engineering and Mathematics at Bogazici University, Istanbul

Teaching Experience

  • 2007-2009 Teaching Assistant at the University of British Columbia, Vancouver

Publications

Preprints:

[1] U. Ayaz and H. Rauhut. Sparse recovery of fusion frame structured signals. (in preparation).
[pdf]



Journal Papers:


[1] U. Ayaz, S. Dirksen, and H. Rauhut. Uniform recovery of fusion frame structured sparse signals. (Applied and Computational Harmonic Analysis, to appear).
[pdf]


[2] U. Ayaz and H. Rauhut. Nonuniform sparse recovery with subgaussian matrices. ETNA, 41:167-178, 2014. [pdf]
Proceeding Papers:

[1]  F. Ma, L. Carlone, U. Ayaz, and S. Karaman, Sparse sensing for resource-constrained depth reconstruction. 2016. Int. Conf. on Intelligent Robots and Systems (IROS) 2016.
      [pdf]  (supplemental material: pdf)
[2] U. Ayaz and H. Rauhut. Nonuniform sparse recovery with fusion frames. 2013. Proc. SPARS'13.
[pdf]
 [3] U. Ayaz and H. Rauhut. Sparse recovery with fusion frames via RIP. 2013. Proc. SampTA 2013.
      [pdf]

Thesis:

[1] U. Ayaz. Sparse Recovery with Fusion Frames. 2014. PhD thesis. University of Bonn.
[pdf]
[2] U. Ayaz. Sigma-delta quantization and Sturmian words. 2009. M.Sc. thesis. University of British Columbia, Vancouver.
[pdf]