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Dynamics and Discretization: PDEs, Sampling, and Optimization
Program
Geometric Methods in Optimization and Sampling
Date
Monday, Oct. 25
–
Friday, Oct. 29, 2021
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The Workshop
Schedule
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All times are listed in Pacific Time.
Monday, Oct. 25, 2021
8:30
–
8:50 a.m.
Coffee and Check-In
8:50
–
9 a.m.
Opening Remarks
9
–
9:45 a.m.
Singular Limits for Vlasov Equations via Kinetic-Type Wasserstein Distances
Mikaela Iacobelli (ETH Zurich)
9:45
–
10:15 a.m.
The (Non-Convex) Optimal Uniform Quantization Problem
Quentin Mérigot (Université Paris-Saclay)
10:15
–
10:45 a.m.
Break
10:45
–
11:30 a.m.
Nonlocal Interaction Equation on Graphs: Gradient Flow Structure and Continuum Limit
Antonio Esposito (Friedrich-Alexander University Erlangen-Nürnberg)
11:30 a.m.
–
12 p.m.
Nonlocal Wasserstein Distance and the Associated Gradient Flows
Dejan Slepčev (Carnegie Mellon Univeristy)
12
–
2 p.m.
Lunch
2
–
2:45 p.m.
A Duality Approach for Entropic-Regularized Optimal Transport: Sinkhorn Algorithm and Applications to Generative Models
Augusto Gerolin (University of Ottawa)
2:45
–
3:15 p.m.
The Most Likely Evolution of Diffusing and Vanishing Particles in the Spirit of E. Schroedinger: Constructing Bridges With Unbalanced Marginals
Tryphon Georgiou (UC Irvine)
3:15
–
3:45 p.m.
Break
3:45
–
4:30 p.m.
Training Wasserstein Generative Adversarial Networks Without Gradient Penalties
Dohyun Kwon (University of Wisconsin, Madison)
4:30
–
5:30 p.m.
Reception
Tuesday, Oct. 26, 2021
8:30
–
9 a.m.
Coffee and Check-In
9
–
9:45 a.m.
An Optimal Transport Problem With Bulk/Interface Interactions
Léonard Monsaingeon (University of Lorraine and University of Lisbon)
9:45
–
10:15 a.m.
Dissipative Evolution of Probability Measures
Giuseppe Savaré (Bocconi University)
10:15
–
10:45 a.m.
Break
10:45
–
11:30 a.m.
Sampling via Birth-Death Dynamics
Yulong Lu (University of Massachusetts, Amherst)
11:30 a.m.
–
12 p.m.
Latest Results on Birth-Death Dynamics
Lihan Wang (Carnegie Mellon University)
12
–
2 p.m.
Lunch
2
–
2:45 p.m.
Optimal Transport for Learning Chaotic Dynamics via Invariant Measures
Yunan Yang (Simons Institute)
2:45
–
3:15 p.m.
Hessian Informed Mirror Descent With Application in Gradient Flows
Li Wang (University of Minnesota)
3:15
–
3:45 p.m.
Break
3:45
–
4:30 p.m.
Uniform Convergence Rates for Lipschitz Learning Down to Graph Connectivity
Jeff Calder (University of Minnesota)
Wednesday, Oct. 27, 2021
8:30
–
9 a.m.
Coffee and Check-In
9
–
9:45 a.m.
Optimal Transport With Stopping Times and the Stefan Problem
Inwon Kim (UCLA)
9:45
–
10:15 a.m.
The Singular Set in the Stefan Problem
Alessio Figalli (ETH Zurich)
10:15
–
10:45 a.m.
Break
10:45
–
11:30 a.m.
Global Well Posedness of Master Equations Mean Field Games
Wilfrid Gangbo (UCLA)
11:30 a.m.
–
12 p.m.
Wasserstein GANs Work Because They Fail (to Approximate the Wasserstein Distance)
Jan Stanczuk (University of Cambridge)
12
–
2 p.m.
Lunch
2
–
4 p.m.
Open Discussion (In-Person Only)
Thursday, Oct. 28, 2021
8:30
–
9 a.m.
Coffee and Check-In
9
–
9:45 a.m.
Linearised Optimal Transport Distances
Matthew Thorpe (University of Manchester)
9:45
–
10:15 a.m.
Archetypal Analysis
Braxton Osting (University of Utah)
10:15
–
10:45 a.m.
Break
10:45
–
11:30 a.m.
Mean-Field Theory of Two-Layers Neural Networks: Dimension Free Bounds and Example
Theodor Misiakiewicz (Stanford University)
11:30 a.m.
–
12 p.m.
Continuous Time Stochastic Gradient Descent and Flat Minimum Selection
Stephan Wojtowytsch (Texas A&M)
12
–
2 p.m.
Lunch
2
–
2:45 p.m.
Consensus Based Sampling
Franca Hoffmann (University of Bonn)
2:45
–
3:15 p.m.
Sampling From Wasserstein Barycenter
Thibaut Le Gouic (Ecole Centrale de Marseille)
3:15
–
3:45 p.m.
Break
3:45
–
4:30 p.m.
Extending the JKO Scheme Beyond Wasserstein-2 Gradient Flows
Matthew Jacobs (UCLA)
Friday, Oct. 29, 2021
8:30
–
9 a.m.
Coffee and Check-In
9
–
9:45 a.m.
Deterministic Particle Approximation for Nonlocal Transport Equations
Emanuela Radici (École Polytechnique Fédérale de Lausanne)
9:45
–
10:15 a.m.
A Particle Method for Degenerate Diffusion, and Applications to Robotic Swarming
Olga Turanova (Michigan State University)
10:15
–
10:45 a.m.
Break
10:45
–
11:30 a.m.
How to Train Better: Exploiting the Separability of DNNs
Lars Ruthotto (Emory University)
,
Elizabeth Newman (Emory University)
11:30 a.m.
–
12 p.m.
Mirror Descent Algorithms for Minimizing Interacting Free Energy
Lexing Ying (Stanford University)
12
–
2 p.m.
Lunch
2
–
2:30 p.m.
Learning Interaction Kernels in Stochastic Systems of Interacting Particles from Multiple Trajectories
Sui Tang (UC Santa Barbara)
2:30
–
3 p.m.
Discrete-To-Continuum Limits of Dynamical Optimal Transport Problems
Lorenzo Portinale (Hausdorff Center of Mathematics, Bonn)
3
–
3:30 p.m.
Density Control of Interacting Agent Systems
Yongxin Chen (Georgia Institute of Technology)
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