Hot Topics Workshop: Multi-Manifold Data Modeling and Applications, October 27-30, 2008

October 27-30, 2008

Sponsors

With generous support from IBM Research and the Office of Naval Research.

Organizers:
Ronald A. DeVore	Mathematics, University of South Carolina
Tamara G. Kolda	Informatics and Decision Sciences, Sandia National Laboratories
Gilad Lerman	Mathematics, University of Minnesota
Guillermo R. Sapiro	Electrical and Computer Engineering, University of Minnesota

Schedule	Participants	Program Application	Feedback
IMA Live Streaming and Webcasting			Maps
Abstracts and Talk Materials			Dining Guide

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
Sameer Agarwal	Computer Science & Engineering Department	University of Washington
Bradley K. Alpert	Mathematical and Computational Sciences Division	National Institute of Standards and Technology
Ery Arias-Castro	Department of Mathematics	University of California, San Diego
Amir Averbuch	School of Computer Science	Tel Aviv University
Richard Baraniuk	Department of Electrical and Computer Engineering	Rice University
Ronen Basri	Department of Computer Science and Applied Mathematics	Weizmann Institute of Science
Mikhail Belkin	Department of Computer Science and Engineering	Ohio State University
Peter Binev	Department of Mathematics	University of South Carolina
Gunnar Carlsson	Department of Mathematics	Stanford University
Pete George Casazza	Department of Mathematics	University of Missouri
William Austin Casey		Pacific Northwest National Laboratory
Frédéric Chazal	GEOMETRICA	Institut National de Recherche en Informatique Automatique (INRIA)-Lorraine
Guangliang Chen	Department of Mathematics	University of Minnesota
Xianjin Chen	Institute for Mathematics and its Applications	University of Minnesota
Ingrid Daubechies	Department of Mathematics	Princeton University
Ronald DeVore	Industrial Mathematics Institute	University of South Carolina
Herbert Edelsbrunner	Department of Computer Science	Duke University
Michael Elad	Computer Science Department	Technion-Israel Institute of Technology
Lars Elden	Department of Mathematics	Linköping University
Charles L. Fefferman	Department of Mathematics	Princeton University
Alyson Kerry Fletcher	Electrical Engineering & Computer Sciences Department	University of California, Berkeley
Massimo Fornasier	Applied and Computational Mathematics Department	Johann Radon Institute for Computational and Applied Mathematics
Daniel Freedman		Rensselaer Polytechnic Institute
Alvina Goh	Department of Biomedical Engineering	Johns Hopkins University
Gloria Haro Ortega	Teoria Senyal i Comunicacions	Universitat Politecnica de Catalunya
Michael E. Henderson	Thomas J. Watson Research Center	IBM
Markus Keel	School of Mathematics	University of Minnesota
Tamara Gibson Kolda		Sandia National Laboratories
Dan Kushnir	Department of Computer Science and Applied Mathematics	Weizmann Institute of Science
Triet Minh Le	Department of Mathematics	Yale University
Chiun-Chang Lee	Department of Mathematics	National Taiwan University
Gilad Lerman	School of Mathematics	University of Minnesota
Stacey E. Levine	Department of Mathematics and Computer Science	Duquesne University
Lek-Heng Lim	Mathematics Department	University of California, Berkeley
Chun Liu		University of Minnesota
Yi Ma	Department of Electrical and Computer Engineering	University of Illinois at Urbana-Champaign
Mauro Maggioni	Department of Mathematics and Computer Science	Duke University
Julien Mairal	Département d'informatique	INRIA
Washington Mio	Department of Mathematics	Florida State University
Dmitriy Morozov	Department of Computer Science	Duke University
Ramesh Natarajan	Mathematics	IBM Research Division
Tristan Nguyen		Office of Naval Research
Partha Niyogi	Department of Computer Science	University of Chicago
Irina Rish	Computational Biology Center	IBM
Fadil Santosa	School of Mathematics	University of Minnesota
Guillermo R. Sapiro	Department of Electrical and Computer Engineering	University of Minnesota
Berkant Savas	Department of Mathematics	Linköping University
Amnon Shashua	School of Engineering and Computer Science	Hebrew University
Yoel Shkolnisky	Department of Mathematics	Yale University
Amit Singer	Department of Mathematics and PACM	Princeton University
Arthur Szlam	Department of Mathematics	University of California, Los Angeles
M. Alex O. Vasilescu	Computer Science Department	SUNY
Rene Vidal	Department of Biomedical Engineering	Johns Hopkins University
Michael Wakin	Division of Engineering	Colorado School of Mines
Yi Wang	Department of Mathematics	University of Minnesota
Jonathan Tyler Whitehouse	Department of Mathematics	University of Minnesota
John Wright	Department of Electrical and Computer Engineering	University of Illinois at Urbana-Champaign
Allen Yang Yang		University of California, Berkeley
Fei Yang	Department of Biomedical Engineering	University of Minnesota
Ahmad S Yasamin	Department of Mathematics	Indiana University
Lihi Zelnik-Manor	Department of Electrical Engineering	Technion-Israel Institute of Technology
Xiaojin Zhu	Department of Computer Sciences	University of Wisconsin

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