Organizing Committee
 Ben Adcock
Simon Fraser University  Doug Cochran
Arizona State University  Anne Gelb
Dartmouth College  Karlheinz Gröchenig
University of Vienna  Yang Wang
The Hong Kong University of Science and Technology
Abstract
Harmonic analysis provides the mathematical backbone for modern signal and image processing. It also constitutes an important part of the foundation several scientific and engineering areas, including communication theory, control science, fluid dynamics, and electromagnetics, that underpin a much broader set of current applications. Although computer implementation of concepts from harmonic analysis is prevalent, relatively little attention is given to computational and numerical aspects of the discipline in its own literature. Further, many of the most capable young mathematicians working in this area have only modest exposure to the roles of such crucial computational considerations as finite data effects; e.g., How much error is introduced by truncating this infiniteseries representation of a function in terms of a frame, and where will it be manifested?
On the other hand, new tools and ideas have entered the mainstream of harmonic analysis in recent years that have not yet become established in areas of applied mathematics where numerical and computational issues are routinely treated as integral aspects of problem formulation and methodological development. Among these are tools for nonorthogonal and overcomplete representations in linear spaces and the exploitation of sparsity and related (e.g., low rank) assumptions in inverse problems of various types. This research cluster seeks to bridge this perceived gap by (i) fostering understanding and appreciation of the computational perspective among harmonic analysts and (ii) increasing awareness of emerging mathematical tools and techniques in applied harmonic analysis among computational mathematicians.
Confirmed Speakers & Participants

Ben Adcock
Simon Fraser University

Akram Aldroubi
Vanderbilt University

Rick Archibald
Oak Ridge National Laboratory

Radu Balan
University of Maryland

Afonso Bandeira
Courant Institute of Mathematical Sciences, NYU

Ole Christensen
Technical University of Denmark

Jaqueline Davis
Arizona State University

Nira Dyn
Tel Aviv University

Milana Gataric
University of Cambridge

Anne Gelb
Dartmouth College

Karlheinz Gröchenig
University of Vienna

Daan Huybrechs
KU Leuven

Ilya Krishtal
Northern Illinois University

Jakob Lemvig
Technical University of Denmark

Mark Lyon
UNH

Roel Matthysen
KU Leuven

Dustin Mixon
Air Force Institute of Technology

Rodrigo Platte
Arizona State University

Jose Luis Romero
Universität Wien

ChiWang Shu
Brown University

Guohui Song
Clarkson University

Aditya Viswanathan
Michigan State University

Yang Wang
The Hong Kong University of Science and Technology

Xiaosheng Zhuang
City University of Hong Kong
Workshop Schedule
Monday, November 3, 2014
Time  Event  Location  Materials 

8:30  8:55  Registration  Research Cluster: Computational Challenges in Sparse and Redundant Representations  11th Floor Collaborative Space  
8:55  9:00  Welcome  ICERM Director  11th Floor Lecture Hall  
9:00  9:45  Tutorial: Redundant function representations based on Fourier series in theory and in practice  Daan Huybrechs, KU Leuven  
10:00  10:45  5 minute introductions  11th Floor Lecture Hall  
11:00  11:45  Discussion Session: Computational challenges of overcomplete representations  11th Floor Lecture Hall  
12:00  2:30  Break for Lunch  
2:30  3:15  Discussion Session: Computational challenges of overcomplete representations  11th Floor Lecture Hall  
3:30  4:00  Coffee/Tea Break  11th Floor Collaborative Space  
4:00  5:00  Research Groups  11th Floor Lecture Hall  
5:00  6:00  Welcome Reception 
Tuesday, November 4, 2014
Time  Event  Location  Materials 

9:00  9:45  Research Talk: Fourier Continuation and the stability and accuracy of FC(Gram) algorithms  Mark Lyon, University of New Hampshire  11th Floor Lecture Hall  
10:00  10:45  Research Talk: Erasure robustness of frames and random frames  Yang Wang, Michigan State University  11th Floor Lecture Hall  
11:00  11:45  Research Talk: Smooth affine shear tight frames: wavelets, shearlets, and their connections  Xiaosheng Zhuang, City University of Hong Kong  11th Floor Lecture Hall  
12:00  2:30  Break for Lunch  
2:30  3:15  Discussion Session: Framebased approximation algorithms  11th Floor Lecture Hall  
2:30  4:00  Postdoc and Graduate Student Seminar  11th Floor Conference Room  
3:30  4:00  Coffee Break  11th Floor Collaborative Space  
4:00  5:00  Research Groups  11th Floor Lecture Hall 
Wednesday, November 5, 2014
Time  Event  Location  Materials 

9:00  9:45  Tutorial: On phaseless reconstruction  Radu Balan, University of Maryland  11th Floor Lecture Hall  
10:00  10:45  Research Talk: Robust sparse phase retrieval made easy  Aditya Viswanathan, Michigan State University  11th Floor Lecture Hall  
11:00  11:45  Research Talks  11th Floor Lecture Hall  
12:00  5:00  Break for lunch and free time  
2:00  2:45  Sharp L^p estimates for second order Riesz transforms on discrete abelian groups.  Stefanie Petermichl, Université de Toulouse III (Paul Sabatier)  11th Floor Lecture Hall  
3:00  3:45  The Dirichlet boundary problem for second order parabolic operators satisfying small Carleson condition  Martin Dindos, University of Edinburgh  11th Floor Lecture Hall  
3:30  4:00  Coffee Break  11th Floor Collaborative Space 
Thursday, November 6, 2014
Time  Event  Location  Materials 

9:00  9:45  Research Talk: Computational issues of dual frame constructions  Ole Christensen, Technical University of Denmark  11th Floor Lecture Hall  
9:00  10:00  Professional development: Papers and journals  10th Floor Classroom  
10:00  10:45  Research Talk: Quantitative estimates for the finite section method  Karlheinz Gröchenig, Universität Wien  11th Floor Lecture Hall  
11:00  11:45  Discussion Session  11th Lecture Hall  
12:00  2:30  Break for Lunch  
2:30  3:15  Discussion Session: Fast algorithms for Fourier Extensions from equispaced data  Roel Matthysen, KU Leuven  11th Floor Lecture Hall  
3:30  4:00  Coffee Break  11th Floor Collaborative Space  
4:00  5:00  Research Groups  11th Floor Lecture Hall 
Friday, November 7, 2014
Time  Event  Location  Materials 

9:00  9:45  Research Talk: Quantization of frame expansions and compressed sensing measurements  Ozgur Yilmaz, University of British Columbia  11th Floor Lecture Hall  
10:00  10:45  Research Talks  11th Floor Lecture Hall  
11:00  11:45  Discussion Session: Recap, open problems and challenges  11th Floor Lecture Hall  
12:00  2:30  Break for Lunch  
3:30  4:00  Coffee Break  11th Floor Collaborative Space 
Monday, November 10, 2014
Time  Event  Location  Materials 

9:00  9:45  Tutorial: Dynamical sampling  part I  Akram Aldroubi, Vanderbilt University  11th Floor Lecture Hall  
10:00  10:45  Tutorial: Dynamical sampling  part II  Ilya Krishtal, Northern Illinois University  11th Floor Lecture Hall  
11:00  11:45  5 minute introductions  11th Floor Lecture Hall  
2:30  3:15  Discussion Session: Algorithms for reconstruction in evolutionary systems  11th Floor Lecture Hall  
3:30  4:00  Coffee Break  11th Floor Collaborative Space  
4:00  5:00  Research Groups  11th Floor Lecture Hall 
Tuesday, November 11, 2014
Time  Event  Location  Materials 

2:30  4:00  Postdoc and Graduate Student Seminar  11th Floor Conference Room  
3:30  4:00  Coffee Break  11th Floor Collaborative Space 
Wednesday, November 12, 2014
Time  Event  Location  Materials 

9:00  9:45  Tutorial: Sampling of multivariate fields and related problems  Karlheinz Gröchenig, Universität Wien  11th Floor Lecture Hall  
10:00  10:45  Research Talk: Generalized sampling and stable recovery of multivariate signals from nonuniform Fourier measurements  Milana Gataric, University of Cambridge  11th Floor Lecture Hall  
11:00  11:45  Discussion Session  11th Floor Lecture Hall  
2:30  3:15  Discussion Session: Nonstandard sampling  11th Floor Lecture Hall  
3:30  4:00  Coffee Break  11th Floor Collaborative Space  
4:00  5:00  Research Groups  11th Floor Lecture Hall 
Thursday, November 13, 2014
Time  Event  Location  Materials 

9:00  9:45  Research Talks: Reproducing Formulas for Generalized Translation Invariant Systems  Jakob Lemvig, Technical University of Denmark  11th Floor Lecture Hall  
10:00  10:45  Research Talk: Mobile sampling of bandlimited fields. Reconstruction of bandlimited functions from samples taken along continuous trajectories  JoseLuis Romero, University of Vienna  11th Floor Lecture Hall  
10:00  10:45  Research Talk: Mobile sampling of bandlimited fields. Reconstruction of bandlimited functions from samples taken along continuous trajectories  JoseLuis Romero, University of Vienna  11th Floor Lecture Hall  
11:00  11:45  Discussion Session  11th Floor Lecture Hall  
2:30  3:15  Discussion Session: Mobile sampling  11th Floor Lecture Hall  
3:30  4:00  Coffee Break  11th Floor Collaborative Space  
4:00  5:00  Research Groups  11th Floor Lecture Hall 
Friday, November 14, 2014
Time  Event  Location  Materials 

10:00  10:45  Dynamic Sampling III  Jacqueline Davis, Vanderbilt University  11th Floor Lecture Hall  
11:00  11:45  Discussion Session: Recap, open problems and challenges  11th Floor Lecture Hall  
12:30  1:30  Professional development: Grant proposals  11th Floor Conference Room  
3:30  4:00  Coffee Break  11th Floor Collaborative Space 
Monday, November 17, 2014
Time  Event  Location  Materials 

9:00  9:45  Tutorial: Direct Methods for Reconstruction of Functions and their Edges from NonUniform Fourier Data  Aditya Viswanathan, Michigan State University  11th Floor Lecture Hall  
10:00  10:45  5 minute introductions  11th Floor Lecture Hall  
11:00  11:45  Research Talk: Neutron tomography: Improving imaging techniques that enable design of fast scanning techniques that sample sparsely in reciprocal space while maintaining image fidelity.  Rick Archibald, Oak Ridge National Laboratory  11th Floor Lecture Hall  
12:00  2:30  Break for Lunch  
2:30  3:30  Representation and coding of signal distances Comparing signals in the cloud  Petros Boufounos, Mitsubishi Electric Research Laboratories  11th Floor Lecture Hall  
2:30  3:15  Discussion Session: Applications to radar, MRI, tomography, etc  10th Floor Classroom  
3:30  4:00  Coffee Break  11th Floor Collaborative Space  
4:00  5:00  Research Groups  11th Floor Lecture Hall  
4:30  5:30  Approximation Seminar  TBA  10th Floor Classroom 
Tuesday, November 18, 2014
Time  Event  Location  Materials 

9:00  9:45  Research Talk: Infinitedimensional l1 minimization and function approximation  Ben Adcock, Simon Fraser University  11th Floor Lecture Hall  
10:00  10:45  Research Talk: Recovering spectral accuracy for functions with endpoint singularities  ChiWang Shu, Brown University  11th Floor Lecture Hall  
11:00  11:45  Research Talk: Edge detection from Fourier data in 1D and 2D  Guohui Song, Clarkson University  11th Floor Lecture Hall  
12:00  2:30  Break for Lunch  
2:30  4:00  Postdoc and Graduate Student Seminar  11th Floor Conference Room  
2:30  3:15  Discussion Session  11th Floor Lecture Hall  
3:30  4:00  Coffee Break  11th Floor Collaborative Space  
4:00  5:00  Research Groups  11th FLoor Lecture Hall 
Wednesday, November 19, 2014
Time  Event  Location  Materials 

9:00  9:45  Research Talk: Reconstruction of 3D objects from their 2D crosssections by a subdivision scheme for sets  Nira Dyn, Tel Aviv University  11th Floor Lecture Hall  
10:00  10:45  Research Talk: Superresolution and prolate functions: Why the two appear in the same sentence  Armin Eftekhari, Colorado School of Mines  11th Floor Lecture Hall  
11:00  11:45  Discussion Session  11th Floor Lecture Hall  
12:00  5:00  Break for lunch and free time  
3:30  4:00  Coffee Break  11th Floor Collaborative Space 
Thursday, November 20, 2014
Time  Event  Location  Materials 

10:00  10:45  Research Talk: Multireference alignment problems  Afonso Bandeira, Princeton University  11th Floor Lecture Hall  
11:00  11:45  Nearest neighbor based greedy coordinate descent  Pradeep Ravikumar\, University of Texas\, Austin  11th Floor Lecture Hall  
11:00  11:45  Nearest neighbor based greedy coordinate descent  Pradeep Ravikumar, University of Texas, Austin  11th Floor Lecture Hall  
12:00  2:30  Break for Lunch  
2:30  3:15  Discussion Session  11th Floor Lecture Hall  
3:30  4:00  Coffee Break  11th Floor Collaborative Space  
4:00  5:00  Research Groups  11th Floor Lecture Hall 
Friday, November 21, 2014
Time  Event  Location  Materials 

10:00  10:45  Research Groups  11th Floor Lecture Hall  
11:00  11:45  Discussion Session: Recap, open problems and challenges  11th Floor Lecture Hall  
12:00  2:30  Break for Lunch  
3:30  4:00  Coffee Break  11th Floor Collaborative Space 