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HOME » PROGRAMS/ACTIVITIES » Annual Thematic Program
Ideal Data Representation
Cosponsored by the Army Research Office
Organizers:
Ronald
DeVore (IDR Organizer)
Director of Industrial Mathematical Institute
University of South Carolina-Columbia
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 (post-doctoral 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 time-frequency 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 3-180 unless otherwise noted. |
||
|---|---|---|
| 8:30 am | Coffee and Registration |
Reception Room EE/CS 3-176 |
| 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 3-176 |
| 10:45-11:30 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 3-176 |
| 3:30-4:15 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 3-180 unless otherwise noted. |
||
| 9:15 am | Coffee | EE/CS 3-176 |
| 9:30 am |
Mini-Session: Analysis of Internet Traffic Organizer:
Walter Willinger |
Participants: Walter
Willinger Paul
Barford |
| 10:45 am | Break | EE/CS 3-176 |
| 11:00 am-12:00 pm | Michael
Unser EPFL |
Fractional Splines and Wavelets: From Theory to Applications |
| 2:00 pm |
Mini-Session: 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 3-176 |
| 3:30-4:15 pm | Akram
Aldroubi Vanderbilt University |
Non-Uniform Sampling and Reconstruction in Shift-Invariant and Wavelet Spaces |
| WEDNESDAY,
APRIL 11 All talks are in Conference Hall EE/CS 3-180 unless otherwise noted. |
||
| 9:15 am | Coffee | EE/CS 3-176 |
| 9:30 am |
Mini-Session: Digital Geometry Processing Organizer:
Peter Schröder |
Participants: Peter
Schröder
Denis Zorin |
| 10:45 am | Break | EE/CS 3-176 |
| 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 m-term 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 |
Time-frequency Representation with Wavelet Frames |
| 16 | Olof
C. Runborg Princeton University |
Application of Wavelet-based Reduction Techniques to Reaction-Diffusion 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 Lie-group 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 Weyl-Heisenberg Frame Expansions |
| 3:45-4:30 pm |
Richard
G. Baraniuk |
|
| THURSDAY,
APRIL 12 All talks are in Conference Hall EE/CS 3-180 unless otherwise noted. |
||
| 9:15 am | Coffee | EE/CS 3-176 |
| 9:30 am |
Mini-Session: Wavelet Frames - Theory and Application Organizer:
Amos Ron
|
Participants: Amos
Ron Zouwei
Shen |
| 10:45 am | Break | EE/CS 3-176 |
| 11:15 am-12:00 pm | Jeff
Geronimo Georgia Tech |
On Causal solutions to Certain 2D Autoregressive Models |
| 2:00 pm |
Mini-Session: 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 3-176 |
| 3:45-4:30 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 3-180 unless otherwise noted. |
||
| 9:15 am | Coffee | EE/CS 3-176 |
| 9:30 am |
Mini-Session: Organizer:
David Donoho |
Participants: David
Donoho Xiaoming
Huo Carrie
Grimes A New Paradym for Scientific Computing |
| 10:45 am | Break | EE/CS 3-176 |
| 11:15 am | Emanuel
Candes Caltech |
Curvelets and the Recovery of Anisotropic Structures |
| 11:45-12:15 pm | Thomas
Yu Rensselaer Polytechnic Institute |
Divide-and-conquer, minimum-time rendering and isoperimetric inequalities |
LIST OF CONFIRMED PARTICIPANTS
as of 4/10/2001
| 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 Wisconsin-Madison |
| 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 Paris-Dauphine |
| 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 Wisconsin-Madison |
| 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 | Tel-Aviv University |
| Georgina Flesia | Statistics | Stanford University |
| Jeff Geronimo | Mathematics | Georgia Institute of Technology |
| Anna Gilbert | AT&T Labs-Research | |
| 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 Wisonsin-Madison |
| Doug Hardin | Mathematics | Vanderbilt University |
| Felix Hermann | EAPS | Massachusetts Institute of Technology |
| Tom Hogan | Mathematics | Ohio University |
| Olga Holtz | University of Wisconsin-Madison | |
| 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 Wisconsin-Madison |
| Ognyan Kounchev | Computer Sciences | University of Wisconsin-Madison |
| 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 Wisconsin-Madison | |
| Alexander Petukhov | University of South Carolina | |
| Amos Ron | Computer Sciences | University of Wisconsin-Madison |
| 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 Wisconsin-Madison | |
| Victoria Stodden | Stanford University | |
| Martin J. Strauss | AT&T Labs-Research | |
| 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 | DMT-IOA | EPFL |
| Patrick Van Fleet | Mathematics | University of St. Thomas |
| Julia Verlikina | University of Wisconsin-Madison | |
| 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 |
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