Workshop III: Statistical and Numerical Methods for Non-commutative Optimal Transport - IPAM

Workshop III: Statistical and Numerical Methods for Non-commutative Optimal Transport

Part of the Long Program Non-commutative Optimal Transport
May 19 - 23, 2025

Schedule

All times in this Schedule are Pacific Time (PT)

Monday, May 19, 2025

Morning Session

SESSION CHAIR: Quentin Berthet
08:00-08:55
Check-In/Breakfast (Hosted by IPAM)
08:55-09:00
Welcome and Opening Remarks
09:00-09:50
Jean Lasserre (Université de Toulouse III (Paul Sabatier))
Gaussian mixtures closest to a given measure via optimal transport
10:00-10:15
Break
10:15-11:05
Venkat Chandrasekaran (California Institute of Technology)
Any-dimensional polynomial optimization
11:15-11:30
Break
11:30-12:20
Dávid Papp (North Carolina State University)
Nonsymmetric conic optimization and dual certificates for sums-of-squares

Afternoon Session

12:30-14:00
Lunch (on your own)
SESSION CHAIR: Therese Landry
14:00-14:50
Giulia Luise (Microsoft)
Learning to optimize transport plans
15:00-15:15
Break
15:15-16:05
Cesar Uribe (Rice University)
Decentralized Optimal Transport and Barycenters: Algorithms, Quantization, and Equity
16:15-16:45
Break
17:00-18:00
Alessio Figalli (ETH Zurich)
Green Family Lecture #1: Optimal Transport: From A to B… and Beyond
18:15-19:15
Reception (Location: IPAM Lobby)

Tuesday, May 20, 2025

Morning Session

SESSION CHAIR: Shmuel Friedland
08:00-08:55
Check-In/Breakfast (Hosted by IPAM)
09:00-09:50
Ziv Goldfeld (Cornell University)
Gromov-Wasserstein Alignment: Statistics, Computation, and Geometry
10:00-10:15
Break
10:15-11:05
Ricardo Baptista (California Institute of Technology)
Conditional simulation via entropic optimal transport
11:15-11:30
Break
11:30-12:20
Tudor Manole (Massachusetts Institute of Technology)
Discrete Signal Recovery under the Wasserstein Distance

Afternoon Session

12:30-14:30
Lunch (on your own)
SESSION CHAIR: Ricardo Baptista
14:30-15:20
Bodhisattva Sen (Columbia University)
Constrained denoising, optimal transport, and empirical Bayes
15:30-16:00
Break
16:30-17:30
Alessio Figalli (ETH Zurich)
Green Family Lecture #2: Exploring Stability in Geometric and Functional Inequalities: OT and Beyond

Wednesday, May 21, 2025

Morning Session

SESSION CHAIR: Jean Lasserre
08:00-08:55
Check-In/Breakfast (Hosted by IPAM)
09:00-09:50
Alessio Figalli (ETH Zurich)
On the regularity of optimal transport maps
10:00-10:15
Break
10:15-11:05
Joel Tropp (California Institute of Technology)
Scalable semidefinite programming
11:15-11:30
Break
11:30-12:20
Tyler Maunu (Brandeis University)
Subspace Langevin Monte Carlo

Afternoon Session

12:30-12:45
Group Photo
12:45-14:30
Lunch (on your own)
SESSION CHAIR: Giulia Luise
14:30-15:20
Didier Henrion (Centre National de la Recherche Scientifique (CNRS))
Solving moment and polynomial optimization problems on Sobolev spaces
15:30-15:45
Break
15:45-16:00
Lightning Poster Round
16:00-17:30
Poster Session & Reception (Hosted by IPAM)

Thursday, May 22, 2025

Morning Session

SESSION CHAIR: Tyler Maunu
08:00-08:55
Check-In/Breakfast (Hosted by IPAM)
09:00-09:50
Jason Altschuler (Massachusetts Institute of Technology)
Near-Linear Runtime for a Classical Matrix Preconditioning Algorithm
10:00-10:15
Break
10:15-11:05
Sivaraman Balakrishnan (Carnegie Mellon University)
Stability Bounds for Smooth Optimal Transport Maps and their Statistical Implications
11:15-11:30
Break
11:30-12:20
Discussions

Afternoon Session

12:30-14:30
Lunch (on your own)
SESSION CHAIR: Fanch Coudreuse
14:30-15:20
Anna Korba (École Nationale de la Statistique et de l'Administration Économique)
Some novel kernel-based divergences between probability distributions
15:30-16:00
Break
16:00-16:50
Promit Ghosal (University of Chicago)
Convergence, Geometry, and Selection Principles in Entropic Optimal Transport
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