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
8:00 - 8:55 Check-In/Breakfast (Hosted by IPAM)
8:55 - 9:00 Welcome and Opening Remarks
9:00 - 9:50
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
12:30 - 2:00 Lunch (on your own)

Afternoon Session

SESSION CHAIR: Therese Landry
2:00 - 2:50
3:00 - 3:15 Break
3:15 - 4:05
4:15 - 4:45 Break
5:00 - 6:00
6:15 - 7:15 Reception (Location: IPAM Lobby)

Tuesday, May 20, 2025

Morning Session

SESSION CHAIR: Shmuel Friedland
8:00 - 8:55 Check-In/Breakfast (Hosted by IPAM)
9:00 - 9:50
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

12:30 - 2:30 Lunch (on your own)

Afternoon Session

SESSION CHAIR: Ricardo Baptista
2:30 - 3:20
3:30 - 4:00 Break
4:30 - 5:30

Wednesday, May 21, 2025

Morning Session

SESSION CHAIR: Jean Lasserre
8:00 - 8:55 Check-In/Breakfast (Hosted by IPAM)
9:00 - 9:50
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

12:30 - 12:45 Group Photo
12:45 - 2:30 Lunch (on your own)

Afternoon Session

SESSION CHAIR: Giulia Luise
2:30 - 3:20
Didier Henrion (Centre National de la Recherche Scientifique (CNRS))

Solving moment and polynomial optimization problems on Sobolev spaces
PDF Presentation
3:30 - 3:45 Break
3:45 - 4:00 Lightning Poster Round
4:00 - 5:30 Poster Session & Reception (Hosted by IPAM)

Thursday, May 22, 2025

Morning Session

SESSION CHAIR: Tyler Maunu
8:00 - 8:55 Check-In/Breakfast (Hosted by IPAM)
9:00 - 9:50
Jason Altschuler (Massachusetts Institute of Technology)

Near-Linear Runtime for a Classical Matrix Preconditioning Algorithm

10:00 - 10:15 Break
10:15 - 11:05
11:15 - 11:30 Break
11:30 - 12:20 Discussions
12:30 - 2:30 Lunch (on your own)

Afternoon Session

SESSION CHAIR: Fanch Coudreuse
2:30 - 3:20
Anna Korba (École Nationale de la Statistique et de l'Administration Économique)

Some novel kernel-based divergences between probability distributions
PDF Presentation
3:30 - 4:00 Break
4:00 - 4:50

Friday, May 23, 2025

Morning Session

SESSION CHAIR: Rolando De Santiago
8:00 - 8:55 Check-In/Breakfast (Hosted by IPAM)
9:00 - 9:50
Shmuel Friedland (University of Illinois at Chicago)

Barrier relaxations of the classical and quantum optimal transport problems

10:00 - 10:15 Break
10:15 - 11:05
Therese Landry (University of California, Santa Barbara (UCSB))

Quantum Wasserstein Distance on the Quantum Permutation Group

11:15 - 11:30 Break
11:30 - 12:20 Discussions