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Workshop II: Numerics and Dynamics for Optimal Transport
April 14 - 18, 2008
Organizing Committee |
Scientific Overview |
Speaker List
Application/Registration |
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Organizing Committee
Yann Brenier
(Université de Nice Sophia Antipolis)
Karl Glasner
(University of Arizona)
Allen Tannenbaum
(Georgia Institute of Technology, School of Electrical and Computer Engineering)
Richard Tsai
(University of Texas at Austin, Mathematics)
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Scientific Overview
The purpose of this workshop is to bring together a diverse group of mathematicians and
other scientists to discuss dynamical and numerical aspects of optimal transport. Optimal
transport provides a natural geometry for characterizing and studying many evolutionary
partial differential equations. In particular, their dynamics is seen to possess either a
gradient flow or Hamiltonian structure when viewed on a manifold endowed with an optimal
transport metric. These connections have found diverse applications, ranging from fluid
mechanics to materials microstructure evolution and Ricci flow.
Algorithms for numerical transport optimization have applications in a variety of areas
such as image processing, medicine, computational cosmology, geosciences, or urban
transport. Numerical transport optimization methods have not yet reached their full
capacity where they can meet the most demanding practical applications. For example, in
cosmology, effective handling of galaxy catalogues with millions of entries for
reconstruction of early velocities according to the Zeldovich model is a big challenge.
Up to now, there are two principal numerical approaches to optimal transport: In one
approach, one chooses a suitable numerical discretization, and optimal transport becomes
a large scale combinatorial optimization problem. Alternatively, transport plans can be
generated by solutions to suitable partial differential equations. Both cases and their
comparison with recent second order cone programming (SOCP) methods that are particularly
popular in image processing will be discussed.
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Invited Speakers
Marc Bernot
(École Normale Supérieure de Lyon)
Yann Brenier
(Université de Nice Sophia Antipolis)
Ibrahim Fatkulin
(University of Arizona)
Alessio Figalli
(Université de Nice Sophia Antipolis)
Tryphon Georgiou
(University of Minnesota, Twin Cities)
Lorenzo Giacomelli
(Università di Roma “La Sapienza”)
Maria del Mar Gonzalez
(Universitat Politécnica de Catalunya)
Maria Gualdani
(University of Texas at Austin)
Eldad Haber
(Emory University)
Chiu-Yen Kao
(Ohio State University)
Alexandra Landsman
(United States Naval Research Laboratory)
Steve LaValle
(University of Illinois at Urbana-Champaign)
Igor Mezic
(University of California, Santa Barbara (UC Santa Barbara))
Kangyu Ni
(University of California, Los Angeles (UCLA))
Adam Oberman
(Simon Fraser University)
Olof Runborg
(Royal Institute of Technology (KTH))
Filippo Santambrogio
(Université de Paris IX (Paris-Dauphine))
Allen Tannenbaum
(Georgia Institute of Technology)
Neil Trudinger
(Australian National University)
Richard Tsai
(University of Texas at Austin)
Axel Voigt
(Technishche Universtitat Dresden)
Marie-Therese Wolfram
(Johann Radon Institute for Computational and Applied Mathematics (RICAM))
Haomin Zhou
(Georgia Institute of Technology)
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Contact Us:
Institute for Pure and Applied Mathematics (IPAM)
Attn: OTWS2
460 Portola Plaza
Los Angeles CA 90095-7121
Phone: 310 825-4755
Fax: 310 825-4756
Email: 
Website:
http://www.ipam.ucla.edu/programs/otws2/
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