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Hot Topics
Workshops and Special Events
October 27-30, 2008
Description:
Many common data sets can be modeled by a mixture of simple
geometric objects, e.g., manifolds. A well known example of
such data is the NIST images of hand-written digits. The
effective modeling of such data together with its careful
analysis is a challenging mathematical problem. Earlier work at
the beginning of the current century revealed effective methods
for modeling data by a single manifold. Later work modeled data
by an arrangement of affine subspaces. The generalization of
these works to multi-manifold data modeling is currently being
developed. It has many important applications, for example, in
motion segmentation, hybrid representation of images,
classification of face images and classification of
hand-written digits.
Different approaches for this problem have utilized theoretical
insights from various mathematical disciplines and also
inspired new theoretical observations. Those mathematical
disciplines include probabilistic modeling, algebraic geometry,
information theory, computational topology and geometry,
statistical inference, linear and multilinear algebra,
numerical analysis, differential geometry, and spectral graph
theory. This general problem is also closely related to other
directions in current applied mathematics, in particular,
sparse approximation.
Schedule not yet available.
LIST OF CONFIRMED PARTICIPANTS
| Name |
Department |
Affiliation |
| Richard Baraniuk |
Department of Electrical and Computer Engineering |
Rice University |
| Mikhail Belkin |
Department of Computer Science and Engineering |
Ohio State University |
| Gunnar Carlsson |
Department of Mathematics |
Stanford University |
| Ingrid Daubechies |
Department of Mathematics |
Princeton University |
| Ronald DeVore |
Department of Mathematics |
Texas A & M University |
| Herbert Edelsbrunner |
Department of Computer Science |
Duke University |
| Lars Elden |
Department of Mathematics |
Linköping University |
| Charles L. Fefferman |
Department of Mathematics |
Princeton University |
| Tamara Gibson Kolda |
|
Sandia National Laboratories |
| Gilad Lerman |
School of Mathematics |
University of Minnesota |
| Yi Ma |
Department of Electrical and Computer Engineering |
University of Illinois at Urbana-Champaign |
| Guillermo R. Sapiro |
Department of Electrical and Computer Engineering |
University of Minnesota |
| Amnon Shashua |
School of Engineering and Computer Science |
Hebrew University |
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