Sampling, Inference, and Data-Driven Physical Modeling in Scientific Machine Learning - IPAM

Sampling, Inference, and Data-Driven Physical Modeling in Scientific Machine Learning

July 14 - 18, 2025

Schedule

All times in this Schedule are Pacific Time (PT)

Monday, July 14, 2025

Morning Session

SESSION CHAIR: Rongjie Lai
08:00-08:55
Check-In/Breakfast (Hosted by IPAM)
08:55-09:00
Welcome and Opening Remarks
09:00-09:40
Stanley Osher (University of California, Los Angeles (UCLA))
A Characteristic-Based Deep Learning Framework for Hamilton–Jacobi Equations with Application to Optimal Transport
09:50-10:05
Break
10:05-10:45
Hayden Schaeffer (University of California, Los Angeles (UCLA))
Models and Theory for Multi-Task Operator Learning
10:55-11:10
Break
11:10-11:50
Wenjing Liao (Georgia Institute of Technology)
Exploiting Low-Dimensional Data Structures and Understanding Neural Scaling Laws of Transformers

Afternoon Session

12:00-14:15
Lunch (on your own)
SESSION CHAIR: Wenjing Liao
14:15-14:55
Scott McCalla (Montana State University - Bozeman)
Tracking bacterial growth using a nonlocal interfacial model
15:05-15:30
Break
15:30-16:10
Lars Ruthotto (Emory University)
Mixed-Precision Algorithms for Training Neural ODEs
16:20-16:40
Lightning Poster Round
17:00-18:30
Poster Session & Reception (Hosted by IPAM)

Tuesday, July 15, 2025

Morning Session

SESSION CHAIR: Scott McCalla
08:00-09:00
Check-In/Breakfast (Hosted by IPAM)
09:00-09:40
Haomin Zhou (Georgia Institute of Technology)
A supervised learning scheme for Hamilton-Jacobi equation via density coupling
09:50-10:05
Break
10:05-10:45
Rongjie Lai (Purdue University)
Unsupervised In-context Operator Learning for Mean Field Games
10:55-11:10
Break
11:10-11:50
Benjamin Zhang (Brown University)
Probabilistic operator learning: generative modeling and uncertainty quantification for in-context operator learning

Afternoon Session

12:00-14:00
Lunch (on your own)
SESSION CHAIR: Wenjing Liao
14:00-14:40
Alex Cloninger (University of California, San Diego (UCSD))
Using Linearized Optimal Transport to Predict the Evolution of Stochastic Particle Systems
14:50-15:05
Break
15:05-15:45
Siting Liu (University of California, Riverside (UC Riverside))
Score-Based Generative Models through the Lens of Wasserstein Proximal Operators
16:10-16:50
Li Wang (University of Minnesota, Twin Cities)
Learning-enhanced structure preserving particle methods for Landau equation

Wednesday, July 16, 2025

Morning Session

SESSION CHAIR: Lars Ruthotto
08:00-09:00
Check-In/Breakfast (Hosted by IPAM)
09:00-09:40
Luc Rey-Bellet (University of Massachusetts Amherst)
Title not available
09:50-10:05
Break
10:05-10:45
Zecheng Zhang (University of Notre Dame)
Deep Operator Learning Approximation and Distributed Applications
10:55-10:10
Break
11:10-11:50
Nisha Chandramoorthy (University of Chicago)
Toward physical generative modeling

Afternoon Session

12:00-12:15
Group Photo
12:15-14:00
Lunch (on your own)
SESSION CHAIR: Haomin Zhou
14:00-14:40
Guang Lin (Purdue University)
Scalable algorithms for Bayesian deep learning via stochastic gradient Monte Carlo and Beyond
14:50-15:05
Break
15:05-15:45
Yuanqi Du (Cornell University)
Bridging Non-equilibrium Simulation and Probabilistic Machine Learning
15:55-16:10
Break
16:10-16:50
Jiajia Yu (University of California, Los Angeles (UCLA))
Learning and Inference in Mean-Field Games

Thursday, July 17, 2025

Morning Session

SESSION CHAIR: Zecheng Zhang
08:00-09:00
Check-In/Breakfast (Hosted by IPAM)
09:00-09:40
Markos Katsoulakis (University of Massachusetts Amherst)
Hamilton-Jacobi Equations, Mean-Field Games, and Optimal Control for Robust Machine Learning
09:50-10:05
Break
10:05-10:45
Tingwei Meng (Amazon Robotics)
HJ-sampler: a Bayesian sampler for inverse problems of a stochastic process by leveraging Hamilton--Jacobi PDEs and score-based generative models
10:55-11:10
Break
11:10-11:50
Fuqun Han (University of California, Los Angeles (UCLA))
Regularized Wasserstein Proximal Algorithms for Nonsmooth Sampling Problems

Afternoon Session

12:00-14:00
Lunch (on your own)
SESSION CHAIR: Markos Katoulakis
14:00-14:50
Mini Talk 1- Sichen Yang - 2:00 -2:15pm | Zhaiming Shen - 2:20-2:35pm | Hyemin Gu - 2:40-2:55pm
15:00-15:15
Break
15:05-15:55
Mini Talk 2- Kelvin Kan 3:15-3:30pm | Xue Feng 3:35-3:50pm | Elisa Negrini 3:55-4:10pm
15:55-16:10
Break
16:10-17:00
Discussion
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