Workshops

Fall 2021

Dynamics and Discretization: PDEs, Sampling, and Optimization

Oct 25, 2021 to Oct 29, 2021

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All times are listed in Pacific Time.

Monday, October 25th, 2021
8:30 am–8:50 am		Coffee and Check-In
8:50 am–9:00 am		Opening Remarks
9:00 am–9:45 am		Singular Limits for Vlasov Equations via Kinetic-Type Wasserstein Distances Mikaela Iacobelli (ETH Zurich)
9:45 am–10:15 am		The (Non-Convex) Optimal Uniform Quantization Problem Quentin Mérigot (Université Paris-Saclay)
10:15 am–10:45 am		Break
10:45 am–11:30 am		Nonlocal Interaction Equation on Graphs: Gradient Flow Structure and Continuum Limit Antonio Esposito (Friedrich-Alexander University Erlangen-Nürnberg)
11:30 am–12:00 pm		Nonlocal Wasserstein Distance and the Associated Gradient Flows Dejan Slepčev (Carnegie Mellon Univeristy)
12:00 pm–2:00 pm		Lunch
2:00 pm–2:45 pm		A Duality Approach for Entropic-Regularized Optimal Transport: Sinkhorn Algorithm and Applications to Generative Models Augusto Gerolin (University of Ottawa)
2:45 pm–3:15 pm		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 pm–3:45 pm		Break
3:45 pm–4:30 pm		Training Wasserstein Generative Adversarial Networks Without Gradient Penalties Dohyun Kwon (University of Wisconsin, Madison)
4:30 pm–5:30 pm		Reception

Tuesday, October 26th, 2021
8:30 am–9:00 am		Coffee and Check-In
9:00 am–9:45 am		An Optimal Transport Problem With Bulk/Interface Interactions Léonard Monsaingeon (University of Lorraine and University of Lisbon)
9:45 am–10:15 am		Dissipative Evolution of Probability Measures Giuseppe Savaré (Bocconi University)
10:15 am–10:45 am		Break
10:45 am–11:30 am		Sampling via Birth-Death Dynamics Yulong Lu (University of Massachusetts, Amherst)
11:30 am–12:00 pm		Latest Results on Birth-Death Dynamics Lihan Wang (Carnegie Mellon University)
12:00 pm–2:00 pm		Lunch
2:00 pm–2:45 pm		Optimal Transport for Learning Chaotic Dynamics via Invariant Measures Yunan Yang (Simons Institute)
2:45 pm–3:15 pm		Hessian Informed Mirror Descent With Application in Gradient Flows Li Wang (University of Minnesota)
3:15 pm–3:45 pm		Break
3:45 pm–4:30 pm		Uniform Convergence Rates for Lipschitz Learning Down to Graph Connectivity Jeff Calder (University of Minnesota)

Wednesday, October 27th, 2021
8:30 am–9:00 am		Coffee and Check-In
9:00 am–9:45 am		Optimal Transport With Stopping Times and the Stefan Problem Inwon Kim (UCLA)
9:45 am–10:15 am		The Singular Set in the Stefan Problem Alessio Figalli (ETH Zurich)
10:15 am–10:45 am		Break
10:45 am–11:30 am		Global Well Posedness of Master Equations Mean Field Games Wilfrid Gangbo (UCLA)
11:30 am–12:00 pm		Wasserstein GANs Work Because They Fail (to Approximate the Wasserstein Distance) Jan Stanczuk (University of Cambridge)
12:00 pm–2:00 pm		Lunch
2:00 pm–4:00 pm		Open Discussion (In-Person Only)

Thursday, October 28th, 2021
8:30 am–9:00 am		Coffee and Check-In
9:00 am–9:45 am		Linearised Optimal Transport Distances Matthew Thorpe (University of Manchester)
9:45 am–10:15 am		Archetypal Analysis Braxton Osting (University of Utah)
10:15 am–10:45 am		Break
10:45 am–11:30 am		Mean-Field Theory of Two-Layers Neural Networks: Dimension Free Bounds and Example Theodor Misiakiewicz (Stanford University)
11:30 am–12:00 pm		Continuous Time Stochastic Gradient Descent and Flat Minimum Selection Stephan Wojtowytsch (Texas A&M)
12:00 pm–2:00 pm		Lunch
2:00 pm–2:45 pm		Consensus Based Sampling Franca Hoffmann (University of Bonn)
2:45 pm–3:15 pm		Sampling From Wasserstein Barycenter Thibaut Le Gouic (Ecole Centrale de Marseille)
3:15 pm–3:45 pm		Break
3:45 pm–4:30 pm		Extending the JKO Scheme Beyond Wasserstein-2 Gradient Flows Matthew Jacobs (UCLA)

Friday, October 29th, 2021
8:30 am–9:00 am		Coffee and Check-In
9:00 am–9:45 am		Deterministic Particle Approximation for Nonlocal Transport Equations Emanuela Radici (École Polytechnique Fédérale de Lausanne)
9:45 am–10:15 am		A Particle Method for Degenerate Diffusion, and Applications to Robotic Swarming Olga Turanova (Michigan State University)
10:15 am–10:45 am		Break
10:45 am–11:30 am		How to Train Better: Exploiting the Separability of DNNs Lars Ruthotto (Emory University) and Elizabeth Newman (Emory University)
11:30 am–12:00 pm		Mirror Descent Algorithms for Minimizing Interacting Free Energy Lexing Ying (Stanford University)
12:00 pm–2:00 pm		Lunch
2:00 pm–2:30 pm		Learning Interaction Kernels in Stochastic Systems of Interacting Particles from Multiple Trajectories Sui Tang (UC Santa Barbara)
2:30 pm–3:00 pm		Discrete-To-Continuum Limits of Dynamical Optimal Transport Problems Lorenzo Portinale (Hausdorff Center of Mathematics, Bonn)
3:00 pm–3:30 pm		Density Control of Interacting Agent Systems Yongxin Chen (Georgia Institute of Technology)