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Cosponsored by the Army Research Office
Organizers:
Ronald
DeVore (IDR Organizer)
Director of Industrial Mathematical Institute
University of South CarolinaColumbia
devore@math.sc.edu
Amos
Ron (IDR Organizer)
Department of Computer Sciences
University of Wisconsin  Madison
amos@cs.wisc.edu
Patrick
Van Fleet (Workshop Organizer)
Department of Mathematics
University of Saint Thomas
pjvanfleet@stthomas.edu
Advances in communication, sensing, and computational power have led to an explosion of data. The size and varied formats for these datasets challenge existing techniques for transmission, storage, querying, display, and numerical manipulation. This leads to the paradoxical situation where experiments or numerical computations produce rich, detailed information, for which, at this point, no adequate analysis tools exist.
Recently, a research consortium of scientists from various disciplines including mathematics, statistics, computer science and engineering has been formed to address this problem. The consortium, known as The Center for Ideal Data Representation (IDR) puts forward the premise that the performance required for handling the large data sets that arise in scientific applications will require significant advances in data representation and that these advances are most likely to come through the development of new theories and technologies in the area of multiscale decompositions. The primary focus of the IDR initiative is on redundant systems such as frames, dictionaries and libraries of bases, oversampled signals and more.
The scientific advances of the consortium in data representation will have wide spread applications. The application areas that are already being addressed are image and signal processing (including compression, detection and registration) A/D and D/A conversion, computer graphics, networking trafficking, and interactive visualization of solutions to PDEs.
There are currently fifteen members in the IDR center, and more than thirty junior members (postdoctoral fellows, and research students). In addition, the center has official ties with several groups and individuals inside and outside the U.S. More information on IDR can be found from the website: www.waveletidr.org
The core of this workshop will be made up of IDR members and their associates, augmented with the invitation of several distinguished scientists. The program will consist of selected lectures, given by distinguished researchers in the field and in the application domains. Each such lecture will be followed by an informal discussion among the participants concerning present and future research challenges. Additional time will be allotted for free collaboration among the participants inside and outside the lecture areas.
The research topics to be addressed during the workshop will include: (i) multiresolution and wavelet decompositions, (ii) wavelet frames and other redundant systems such as dictionaries and libraries of bases, (iii) nonlinear methods, including greedy algorithms and adaptive pursuit, (iv) other timefrequency decompositions (such as Gabor systems) (v) feature detection systems including curvelets and ridgelets. Special attention will be given to potential applications in (a) image and signal processing, (b) data compression and encoding, (c) network trafficking, (d) feature extraction and registration, (e) multiscale computer aided design, (f) visualization of solutions to PDEs, (g) processing digital terrain elevation maps, (h) biological sciences.
Monday  Tuesday 
MONDAY,
APRIL 9 All talks are in Conference Hall EE/CS 3180 unless otherwise noted. 


8:30 am  Coffee and Registration 
Reception Room EE/CS 3176 
9:10 am  Willard
Miller,
Fred Dulles, and Amos Ron 
Welcome and Introduction 
9:30 am  Ron
DeVore University of South Carolina 
powerpoint slides pdf slides 
10:15 am  Break  EE/CS 3176 
10:4511:30 am 
Vladimir
Temlyakov 
Greedy Algorithms in Nonlinear Approximation Talk pdf postscript 
2:15 pm  David
R. Larson Texas A&M University 

3:00 pm  Break  EE/CS 3176 
3:304:15 pm  Palle
Jorgensen University of Iowa 

4:15 pm  IMA
Tea A variety of appetizers and beverages will be served. 
Lind Hall 400 
TUESDAY,
APRIL 10 All talks are in Conference Hall EE/CS 3180 unless otherwise noted. 

9:15 am  Coffee  EE/CS 3176 
9:30 am 
MiniSession: Analysis of Internet Traffic Organizer:
Walter Willinger 
Participants: Walter
Willinger Paul
Barford 
10:45 am  Break  EE/CS 3176 
11:00 am12:00 pm  Michael
Unser EPFL 
Fractional Splines and Wavelets: From Theory to Applications 
2:00 pm 
MiniSession: Efficient Stream Computation of Wavelet Representations Organizer:
Anna Gilbert 
Speakers: Anna
Gilbert Summary Statistics for Database Range Queries Martin
J. Strauss Efficient
Stream Computation of Approximate Talk pdf postscript 
3:00 pm  Break  EE/CS 3176 
3:304:15 pm  Akram
Aldroubi Vanderbilt University 
NonUniform Sampling and Reconstruction in ShiftInvariant and Wavelet Spaces 
WEDNESDAY,
APRIL 11 All talks are in Conference Hall EE/CS 3180 unless otherwise noted. 

9:15 am  Coffee  EE/CS 3176 
9:30 am 
MiniSession: Digital Geometry Processing Organizer:
Peter Schröder 
Participants: Peter
Schröder
Denis Zorin 
10:45 am  Break  EE/CS 3176 
11:15 am 
Nira
Dyn 

2:00 3:45 pm  POSTER SESSION  Lind Hall 400 
1  Henning
Biermann New York University 
Approximate Boolean Operations for Subdivision Surfaces 
2 
Konstantinos
Drakakis 
Statistical Analysis of Internet Data 
3  Georgina
Flesia Stanford University 
Digital Ridgelet Transform 
4  Cliona
Golden Princeton University 
An Application of ICA to the Analysis of MRI Data 
5  Remi
Gribonval
University of South Carolina 
Best mterm and Greedy Approximaions with Schauder Bases 
6  Carrie
Grimes Stanford University 
Reproducibility Service Providers: A New System for Reproducible Research Slides pdf 
7  Eitan
Grinspun Caltech 
Adaptive Finite Element Computations for Subdivision Surfaces 
8  Xiaoming
Huo
Georgia Tech 
A Hierarchy of Algorithms Related with Beamlets 
9  Jiashun
Jin Stanford University 
Optimal Compression of Besov Space 
10  Andrei
Khodakovsky
Caltech 
Hybrid Meshes 
11  Ognyan
Kounchev University of Wisconsin  Madison 
Analyzing Images with Singularities Using Polynomial Wavelets 
12  Ofer
Levi
Stanford University 
The 3D Beamlet Transform and its Applications 
13  Nathan
Litke
Caltech 
Fitting Subdivision Surfaces 
14  Kasso
Okoudjou
Georgia Tech 
Gabor Analysis in Amalgam Space 
15  Steven
Parker University of Wisconsin  Madison 
Timefrequency Representation with Wavelet Frames 
16  Olof
C. Runborg Princeton University 
Application of Waveletbased Reduction Techniques to ReactionDiffusion Systems poster slides pdf postscriptmore poster slides html 
17  Narfi
Stefansson University of Wisconsin  Madison 
Sparse Image Representations Using Wavelet Frames 
18  Victoria
Stodden Stanford University 
Multiplicative Multiresolution Analysis for Liegroup Valued Data Indexed by a Euclidean Parameter Slides pdf postscript 
19  Julia
Velikina University of Wisconsin  Madison 
Transforms with Crossed Product Kernels 
20  Eric
Weber Texas A&M University 
Generalized Multiresolution Analyses, Wavelets and Spectral Multiplicity 
21  Ozgur
Yilmaz Princeton University 
Coarse Quantization of WeylHeisenberg Frame Expansions 
3:454:30 pm 
Richard
G. Baraniuk 

THURSDAY,
APRIL 12 All talks are in Conference Hall EE/CS 3180 unless otherwise noted. 

9:15 am  Coffee  EE/CS 3176 
9:30 am 
MiniSession: Wavelet Frames  Theory and Application Organizer:
Amos Ron

Participants: Amos
Ron Zouwei
Shen 
10:45 am  Break  EE/CS 3176 
11:15 am12:00 pm  Jeff
Geronimo Georgia Tech 
On Causal solutions to Certain 2D Autoregressive Models 
2:00 pm 
MiniSession: Organizer:
Ingrid Daubechies 
Participants: Ingrid
Daubechies Olof
C. Runborg Slides pdf postscript Ozgur
Yilmaz Konstantinos
Drakakis Talk pdf zipped Word file 
3:15 pm  Break  EE/CS 3176 
3:454:30 pm  Bradley
J. Lucier Purdue University 
Smoothing Functional Magnetic Resonance Images: A Little Bit of Theory and a Lot of Practice 
6:00 pm  Workshop
Dinner 
Bankok Thai 
FRIDAY,
APRIL 13 All talks are in Conference Hall EE/CS 3180 unless otherwise noted. 

9:15 am  Coffee  EE/CS 3176 
9:30 am 
MiniSession: Organizer:
David Donoho 
Participants: David
Donoho Xiaoming
Huo Carrie
Grimes A New Paradym for Scientific Computing 
10:45 am  Break  EE/CS 3176 
11:15 am  Emanuel
Candes Caltech 
Curvelets and the Recovery of Anisotropic Structures 
11:4512:15 pm  Thomas
Yu Rensselaer Polytechnic Institute 
Divideandconquer, minimumtime rendering and isoperimetric inequalities 
Name  Department  Affiliation 

Akram Aldroubi  Mathematics  Vanderbilt University 
Beth Allen  Economics  University of Minnesota 
Radu Balan  Siemens Corporate Research  
Richard Baraniuk  Electrical and Computer Engineering  Rice University 
Paul Barford  Computer Sciences  University of WisconsinMadison 
Henning Biermann  New York University  
Peter Binev  Mathematics  University of South Carolina 
Emmanuel Candes  Statistics  Stanford University 
Jamylle Carter  Institute for Mathematics and its Applications  
Antonin Chambolle  CEREMADE  Universite de ParisDauphine 
Emil Cornea  Mathematical Sciences  Northern Illinois University 
Nicholas Coult  Mathematics  Augsburg College 
Zoran Cvetkovic  AT&T Labs Research  
Ingrid C. Daubechies  Mathematics  Princeton University 
Carl de Boor  Computer Sciences  University of WisconsinMadison 
Ronald DeVore  Director of Indust. Math. Institute  University of South Carolina 
David Donoho  Statistics  Stanford University 
Konstantinos Drakakis  PACM, Fine Hall  Princeton University 
Tom Duchamp  Mathematics  University of Washington 
Fred Dulles  Institute for Mathematics & its Applications  
Nira Dyn  Mathematical Sciences  TelAviv University 
Georgina Flesia  Statistics  Stanford University 
Jeff Geronimo  Mathematics  Georgia Institute of Technology 
Anna Gilbert  AT&T LabsResearch  
Cliona Golden  Princeton University  
Remi Gribonval  University of South Carolina  
Carrie Grimes  Statistics  Stanford University 
Eitan Grinspun  California Institute of Technology  
Sinan Gunturk  Prog. in Appl. & Comp. Math.  Princeton University 
Bin Han  Institute for Mathematics and its Applications  
Thomas Hangelbroek  Mathematics  University of WisonsinMadison 
Doug Hardin  Mathematics  Vanderbilt University 
Felix Hermann  EAPS  Massachusetts Institute of Technology 
Tom Hogan  Mathematics  Ohio University 
Olga Holtz  University of WisconsinMadison  
Xiaoming Huo  ISyE  Georgia Tech 
Jin Jiashun  Stanford University  
Palle Jorgensen  Mathematics  University of Iowa 
Andrei Khodakovsky  California Institute of Technology  
Hyejoo Kim  Statistics  Seoul National University 
Jinseog Kim  Statistics  Seoul National University 
Jeff Kline  Mathematics  University of WisconsinMadison 
Ognyan Kounchev  Computer Sciences  University of WisconsinMadison 
David Larson  Mathematics  Texas A&M University 
Ofer Levi  Stanford University  
Nathan Litke  California Institute of Technology  
Bradley J. Lucier  Mathematics  Purdue University 
Adam Lutoborski  Mathematics  Syracuse University 
Willard Miller  Institute for Mathematics & its Applications  
Morten Nielsen  University of South Carolina  
Alexei Novikov  Institute for Mathematics & its Applications  
Kasso Okoudjou  Mathmatics  Georgia Insitute of Technology 
Steven Parker  University of WisconsinMadison  
Alexander Petukhov  University of South Carolina  
Amos Ron  Computer Sciences  University of WisconsinMadison 
David Ruch  Math and Computer Science  Metropolitan State College of Denver 
Olof C. Runborg  Princeton University  
Guillermo Sapiro  Electrical Engineering/Computer Sci  University of Minnesota 
Peter Schroder  Dept. of Computer Science  California Institute of Technology 
Jin Keun Seo  Mathematics  Yonsei University 
Robert Sharpley  Mathematics  University of South Carolina 
Jackie Shen  Mathematics  University of Minnesota 
Zuowei Shen  Mathematics  National University of Singapore 
Narfi Stefansson  University of WisconsinMadison  
Victoria Stodden  Stanford University  
Martin J. Strauss  AT&T LabsResearch  
Vladimir Temlyakov  Mathematics  University of South Carolina 
Joel Tropp  TICAM  The University of Texas at Austin 
Radka Turcajova  Mathematics  University of St. Thomas 
Michael Unser  DMTIOA  EPFL 
Patrick Van Fleet  Mathematics  University of St. Thomas 
Julia Verlikina  University of WisconsinMadison  
Eric Weber  Mathematics  Texas A&M University 
Walter Willinger  AT&T Labs Research  
Gang Xie  Mathematical Sciences  Rensselaer Polytechnic Institute 
Ozgur Yilmaz  Princeton University  
Thomas Yu  Mathematical Sciences  Rensselaer Polytechnic Institute 
Xiaofei Zhang  Mathematics  Texas A&M University 
Denis Zorin  Computer Science  Courant Institute of Mathematical Science 