Schedule for: 24w5191 - PDE Methods in Machine Learning: from Continuum Dynamics to Algorithms

Beginning on Sunday, June 9 and ending Friday June 14, 2024

All times in Granada, Spain time, MDT (UTC-6).

Sunday, June 9
16:00 - 17:30 Check-in begins at 16:00 on Sunday and is open 24 hours (Front Desk - Hotel Tent Granada)
Monday, June 10
07:00 - 09:00 Breakfast (Restaurant - Hotel Tent Granada)
09:00 - 09:30 Introduction and Welcome by IMAG Staff (Main Meeting Room - Calle Rector López Argüeta)
09:30 - 10:00 Sinho Chewi: Variational inference via Wasserstein gradient flows (Main Meeting Room - Calle Rector López Argüeta)
10:10 - 10:40 Nicolas Garcia Trillos: FedCBO: Reaching Group Consensus in Clustered Federated Learning and Robustness to Backdoor Adversarial Attacks (Main Meeting Room - Calle Rector López Argüeta)
10:40 - 11:10 Coffee Break (Main Meeting Room - Calle Rector López Argüeta)
11:10 - 12:00 Jianfeng Lu: Vision Lecture: Convergence analysis of classical and quantum dynamics via hypocoercivity (Main Meeting Room - Calle Rector López Argüeta)
12:10 - 12:40 Jonathan Niles-Weed (probably Central limit theorems for smooth optimal transport maps) (Main Meeting Room - Calle Rector López Argüeta)
12:50 - 13:20 Anna Korba (Main Meeting Room - Calle Rector López Argüeta)
13:30 - 15:00 Lunch (Restaurant - Hotel Tent Granada)
15:00 - 15:30 Quentin Mérigot (Main Meeting Room - Calle Rector López Argüeta)
15:40 - 16:10 Boris Hanin (Main Meeting Room - Calle Rector López Argüeta)
16:10 - 16:40 Coffee Break (Main Meeting Room - Calle Rector López Argüeta)
20:00 - 21:30 Dinner (Restaurant - Hotel Tent Granada)
Tuesday, June 11
07:00 - 09:00 Breakfast (Restaurant - Hotel Tent Granada)
09:30 - 10:20 Gabriele Steidl: Vision Lecture: Wasserstein Gradient Flows and Generative Models for Posterior Sampling in Inverse Problems (Main Meeting Room - Calle Rector López Argüeta)
10:30 - 11:00 Coffee Break (Main Meeting Room - Calle Rector López Argüeta)
11:00 - 11:30 Davide Carbone: Generative models as out-of-equilibrium particle systems: training of Energy-Based Models using Non-Equilibrium Thermodynamics (Main Meeting Room - Calle Rector López Argüeta)
11:40 - 12:10 Loucas Pillaud-Vivien (Main Meeting Room - Calle Rector López Argüeta)
12:20 - 12:50 Franca Hoffmann: Dynamics of Strategic Agents and Algorithms as PDEs (Main Meeting Room - Calle Rector López Argüeta)
13:00 - 13:15 Group Photo (Main Meeting Room - Calle Rector López Argüeta)
13:30 - 15:00 Lunch (Restaurant - Hotel Tent Granada)
15:00 - 15:30 Oliver Tse: Variational Acceleration Methods in the Space of Probability Measures (Main Meeting Room - Calle Rector López Argüeta)
15:40 - 16:10 Marco Mondelli: Two Vignettes on PDE Methods for Deep Learning: Implicit Bias of Gradient Descent, and Score-Based Generative Models (Main Meeting Room - Calle Rector López Argüeta)
16:10 - 16:40 Coffee Break (Main Meeting Room - Calle Rector López Argüeta)
20:00 - 21:30 Dinner (Restaurant - Hotel Tent Granada)
Wednesday, June 12
07:00 - 09:00 Breakfast (Restaurant - Hotel Tent Granada)
09:30 - 10:00 Jose A. Carrillo: The Ensemble Kalman Filter in the Near-Gaussian Setting (Main Meeting Room - Calle Rector López Argüeta)
10:10 - 10:40 Stephan Wojtowytsch: Accelerated gradient descent for the Modica-Mortola energy (Main Meeting Room - Calle Rector López Argüeta)
10:40 - 11:10 Coffee Break (Main Meeting Room - Calle Rector López Argüeta)
11:10 - 11:40 Theodor Misiakiewicz: On the complexity of learning under group invariance (Main Meeting Room - Calle Rector López Argüeta)
11:50 - 12:20 Anna Little: Dimension reduction with path metrics: theory, applications, and challenges (Main Meeting Room - Calle Rector López Argüeta)
12:30 - 13:30 Open problem session (Main Meeting Room - Calle Rector López Argüeta)
13:30 - 15:00 Lunch (Restaurant - Hotel Tent Granada)
15:00 - 20:00 Free Afternoon (Other (See Description))
20:30 - 22:00 Social Dinner (Other (See Description))
Thursday, June 13
07:00 - 09:00 Breakfast (Restaurant - Hotel Tent Granada)
09:30 - 10:00 Maria Bruna: Macroscopic limits of systems of strongly interacting particles: from simple exclusion processes to interacting Brownian motions (Main Meeting Room - Calle Rector López Argüeta)
10:10 - 10:40 Matt Jacobs: Lagrangian solutions to PME and score matching (Main Meeting Room - Calle Rector López Argüeta)
10:40 - 11:10 Coffee Break (Main Meeting Room - Calle Rector López Argüeta)
11:10 - 11:40 Zhenjie Ren: Approximations to the long time limit of Mean-field Langevin diffusion (Main Meeting Room - Calle Rector López Argüeta)
11:45 - 12:15 Claudia Totzeck: Consensus-based optimization: multi-objective problems & gradient inference (Main Meeting Room - Calle Rector López Argüeta)
12:20 - 12:50 Yulong Lu: On the generalization of diffusion models in high dimensions (Main Meeting Room - Calle Rector López Argüeta)
12:55 - 13:25 Lukasz Szpruch: Fisher–Rao gradient flow for entropy regularised MDPs in Polish spaces (Main Meeting Room - Calle Rector López Argüeta)
13:30 - 15:00 Lunch (Restaurant - Hotel Tent Granada)
15:00 - 16:00 Open problems working groups (Main Meeting Room - Calle Rector López Argüeta)
16:00 - 16:30 Coffee Break (Main Meeting Room - Calle Rector López Argüeta)
20:00 - 21:30 Dinner (Restaurant - Hotel Tent Granada)
Friday, June 14
07:00 - 09:00 Breakfast (Restaurant - Hotel Tent Granada)
09:30 - 10:00 Daniel Sanz Alonso: Structured Covariance Operator Estimation (Main Meeting Room - Calle Rector López Argüeta)
10:10 - 10:40 Cristina Cipriani: An optimal control perspective on Neural ODEs and adversarial training (Main Meeting Room - Calle Rector López Argüeta)
10:40 - 11:10 Coffee Break (Main Meeting Room - Calle Rector López Argüeta)
10:40 - 11:10 Checkout by 11AM (Front Desk - Hotel Tent Granada)
11:10 - 11:40 Lisa Kreusser: Fokker-Planck equations for score-based diffusion models (Main Meeting Room - Calle Rector López Argüeta)
11:45 - 12:15 Jaume de Dios Pont: Complexity lower bounds for log-concave sampling (Main Meeting Room - Calle Rector López Argüeta)
12:20 - 12:50 Raphaël Barboni: Understanding the training of infinitely deep and wide ResNets with Conditional Optimal Transport (Main Meeting Room - Calle Rector López Argüeta)
12:55 - 13:25 Nikola Kovachki: Function Space Diffusion for Video Modeling (Main Meeting Room - Calle Rector López Argüeta)
13:30 - 15:00 Lunch (Restaurant - Hotel Tent Granada)