Workshop: Computational Optimal Transportation

July 18-22, 2016

Program

 

Monday, July 18, 2016

09:00 - 09:30
Registration and Coffee & Croissants
Room(s) Atrium

Session - Optimal transportation Monge-Ampère and PDE methods
Meeting room(s) : 1035

09:30 - 10:15
Jean-Marie Mirebeau
(Université Paris-Sud)
Monotone and consistent discretizations of HJB PDEs using Obtuse Superbases
Abstract
10:15 - 10:30
Coffee break
Room(s) Atrium
10:30 - 11:15
Brittany D. Froese
(New Jersey Institute of Technology)
Meshfree finite difference methods for the Monge-Ampere equation
Abstract
11:15 - 11:30
Coffee break
Room(s) Atrium
11:30 - 12:00
Vincent Duval
(INRIA Paris)
Finite difference discretization of the quadratic Monge Kantorovich problem using minimal convex extensions of Brenier solutions
Abstract

12:00 - 14:00
Lunch break

Session - Optimal transportation in economics and finance
Meeting room(s) : 1035

14:00 - 14:45
Guillaume Carlier
(Université Paris-Dauphine)
Cournot-Nash equilibria and optimal transport: Theory and numerics
Abstract
14:45 - 15:15
Coffee break
Room(s) Atrium
15:15 - 16:00
Young-Heon Kim
(University of British Columbia)
Optimal martingale transport in general dimensions
Abstract
16:00 - 16:10
Break
16:10 - 16:30
Xavier Dupuis
(LUISS Guido Carli)
Semi-discrete principal-agent problem
Abstract

 

Tuesday, July 19, 2016

09:00 - 09:30
Coffee & Croissants
Room(s) Atrium

Session - Optimal transportation in machine learning
Meeting room(s) : 1035

09:30 - 10:15
Marco Cuturi
(Kyoto University)
Wasserstein regression
Abstract
10:15 - 10:30
Coffee break
Room(s) Atrium
10:30 - 11:15
Gabriel Peyré
(Université Paris-Dauphine)
From Monge to Gromov-Wasserstein: Optimal transport and barycenters between\\ several metric spaces
Abstract
11:15 - 11:30
Coffee break
Room(s) Atrium
11:30 - 12:00
Giulio Trigila
(New York University)
Explanation of variability and removal of confounding factors from data through optimal transport
Abstract

12:00 - 14:00
Lunch break

Session - Optimal transportation theory in unequal dimensions
Meeting room(s) : 1035

14:00 - 14:45
Robert McCann
(University of Toronto)
Optimal transportation between unequal dimensions
Abstract
14:45 - 15:15
Coffee break
Room(s) Atrium
15:15 - 16:00
Brendan Pass
(University of Alberta)
Multi- to one- dimensional transportation
Abstract

 

Wednesday, July 20, 2016

09:00 - 09:30
Coffee & Croissants
Room(s) Atrium

Session - Refractors, semi-discrete and Voronoi
Meeting room(s) : 1035

09:30 - 10:15
Cristian E. Gutierrez
(Temple University)
On the numerical solution of the far field refractor problem
Abstract
10:15 - 10:30
Coffee break
Room(s) Atrium
10:30 - 11:15
Bruno Levy
(LORIA/INRIA Lorraine)
A fast numerical solver for semi-discrete L2 optimal transport
Abstract
11:15 - 11:30
Coffee break
Room(s) Atrium
11:30 - 12:00
Rustum Choksi
(McGill University)
Self-assemby of shapes via generalized centroidal Voronoi tessellations
Abstract

Free afternoon

 

Thursday, July 21, 2016

09:00 - 09:30
Coffee & Croissants
Room(s) Atrium

Session - Theory and numerics of JKO schemes
Meeting room(s) : 1035

09:30 - 10:15
Filippo Santambrogio
(Université Paris-Sud)
Sobolev estimates in the JKO scheme
Abstract
10:15 - 10:30
Coffee break
Room(s) Atrium
10:30 - 10:55
Léonard Monsaingeon
(Instituto Superior Técnico)
A numerical splitting scheme for very degenerate advection-diffusion-reaction equations
Abstract
11:00 - 11:25
Maxime Laborde
(Université Paris-Dauphine)
A splitting method for nonlinear diffusions with nonlocal, nonpotential drifts
Abstract
11:35 - 12:15
Martial Agueh
(University of Victoria)
A splitting method for kinetic models of granular media
Abstract

12:15 - 14:00
Lunch break

Session - Numerical tools
Meeting room(s) : 1035

14:00 - 14:45
Jun Kitagawa
(Michigan State University)
Convergence for a Newton algorithm under regularity conditions for optimal transport
Abstract
14:45 - 15:00
Coffee break
Room(s) Atrium
15:00 - 15:25
Bernhard Schmitzer
(Université Paris-Dauphine)
Efficient sparse multi-scale methods for optimal transport
Abstract
15:30 - 15:55
Aude Genevay
(Université Paris-Dauphine)
Stochastic optimization for large-scale optimal transport
Abstract
15:55 - 16:05
Break
16:05 - 16:30
Lénaïc Chizat
(Université Paris-Dauphine)
A scaling algorithm for unbalanced optimal transport
Abstract

 

Friday, July 22, 2016

09:00 - 09:30
Coffee & Croissants
Room(s) Atrium

Session - Optimal transportation on graphs
Meeting room(s) : 1035

09:30 - 10:15
Justin Solomon
(MIT)
Toward quadratic optimal transport on graphs
Abstract
10:15 - 10:45
Coffee break
Room(s) Atrium
10:45 - 11:30
Dejan Slepcev
(Carnegie Mellon University)
Variational problems on graphs and their continuum limits
Abstract

11:30 - 13:30
Lunch break

Session - Numerical methods for OT for the Euler equation using OT
Meeting room(s) : 1035

13:30 - 13:55
Michael Lindsey
(University of California, Berkeley)
Optimal transport via a Monge-Ampère optimization problem
Abstract
14:00 - 14:25
Jean Louet
(Université Paris-Dauphine)
Entropic regularization of the Monge problem
Abstract
14:30 - 15:00
Coffee break
Room(s) Atrium
15:00 - 15:25
Luca Nenna
(INRIA Paris)
Multi-marginal optimal transport and generalized solution of Euler equations
Abstract
15:30 - 15:55
Thomas Gallouët
(École Polytechnique)
Discretization of the incompressible Euler equation: a Lagrangian approach based on semi discrete optimal transport
Abstract