Workshop I: High Dimensional Hamilton-Jacobi Methods in Control and Differential Games - IPAM

Workshop I: High Dimensional Hamilton-Jacobi Methods in Control and Differential Games

Part of the Long Program High Dimensional Hamilton-Jacobi PDEs
March 30 - April 3, 2020

Schedule

All times in this Schedule are Pacific Time (PT)

Monday, March 30, 2020

Morning Session

08:45-09:00
Welcome & Opening Remarks: Dean Miguel García-Garibay (Dean of Physical Sciences, UCLA) and Dima Shlyakhtenko (Director, IPAM)
09:00-09:50
Qi Gong (University of California, Santa Cruz (UC Santa Cruz))
Nonlinear optimal feedback control - a model-based learning approach
10:00-10:30
Break
10:30-11:20
Weinan E (Princeton University)
High Dimensional PDEs: Theory and Numerical Algorithms
11:30-12:00
Break

Afternoon Session

12:00-12:50
Kyriakos G Vamvoudakis (Georgia Institute of Technology)
Solving Game-Theoretic Hamilton-Jacobi Equations in a Model-Free Way
13:00-14:00
Lunch (on your own)
14:00-14:50
Arthur Krener (Naval Postgraduate School)
Albrekht’s Method in Infinite Dimensions
15:00-15:30
Break
15:30-16:20
Claire Tomlin (University of California, Berkeley (UC Berkeley))
Hamilton-Jacobi Methods in Robotics

Tuesday, March 31, 2020

Morning Session

09:00-09:50
Helene Frankowska (Centre National de la Recherche Scientifique (CNRS))
Abnormal Hamilton-Jacobi Equations arising in Infinite Horizon Problems
10:00-22:30
Break
10:30-23:20
Maurizio Falcone (Università di Roma “La Sapienza”)
A discrete time Dynamic Programming approach on a tree structure for finite horizon optimal control problems
11:30-12:00
Break

Afternoon Session

12:00-12:50
Richard Tsai (University of Texas at Austin)
Learning optimal strategies for line-of-sight based games
13:00-14:00
Lunch (on your own)
14:00-14:50
Yat Tin Chow (University of California, Riverside (UC Riverside))
A numerical method of solving high dimensional Hamilton-Jacobi equations with generalized Hopf-Lax formula
15:00-15:30
Break
15:30-16:20
Gang George Yin (Wayne State University)
High-Dimensional HJBs: Mean-Field Limits and McKean-Vlasov Equations

Wednesday, April 1, 2020

Morning Session

09:00-09:50
Christian Chilan (University of Illinois at Urbana-Champaign)
Optimal Nonlinear Control Using Hamilton–Jacobi–Bellman Viscosity Solutions on Quasi-Monte Carlo Grids
10:00-10:30
Break
10:30-11:20
Jerome Darbon (Brown University)
Overcoming the curse of dimensionality for some Hamilton--Jacobi partial differential equations via neural network architectures
11:30-12:00
Break

Afternoon Session

12:00-12:50
Karl Kunisch (Universität Graz )
Solution Concepts for Optimal Feedback Control of Nonlinear Partial Differential Equations
13:00-14:00
Lunch (on your own)
14:00-14:50
Stanley Osher (University of California, Los Angeles (UCLA))
Solving high dimensional HJ equations using generalized Hopf-Lax formulas vs using Machine Learning. Presenting with Samy Wu Fung.
15:00-15:30
Break
15:30-16:20
Mac McEneaney (University of California, San Diego (UCSD))
Exact Conversion of Second-Order HJ PDE Problems to First-Order HJ PDE Problems

Thursday, April 2, 2020

Morning Session

09:00-09:50
Wei Kang (Naval Postgraduate School)
Data Development and Deep Learning for HJB Equations
10:00-10:30
Break
10:30-11:20
Alex Lin (University of California, Los Angeles (UCLA))
Title not available
11:30-12:00
Break

Afternoon Session

12:00-12:50
Mo Chen (Simon Fraser University)
A Multi-Pronged Approach to Computational Challenges in HJ Reachability
13:00-14:00
Lunch (on your own)
14:00-14:50
Ivan Egorov (Yegorov) (North Dakota State University)
Attenuation of the curse of dimensionality in continuous-time nonlinear optimal feedback stabilization problems
15:00-15:30
Break
15:30-16:20
Matthew Kirchner (University of California, Santa Barbara (UCSB))
Numeric Methods for Reachability with Applications to Vehicle Problems.

Friday, April 3, 2020

Morning Session

09:00-09:50
Marianne Akian (Institut National de Recherche en Informatique et Automatique (INRIA))
Probabilistic max-plus schemes for solving Hamilton-Jacobi-Bellman equations
10:00-22:30
Break
10:30-23:20
Sylvia Herbert (University of California, San Diego (UCSD))
Scalability for Hamilton-Jacobi Reachability Analysis: Decomposition, Warm-Start Initialization, and Model Reduction
11:30-12:00
Break

Afternoon Session

12:00-12:50
Somil Bansal (University of Southern California (USC))
Scaling Hamilton-Jacobi Reachability Analysis for Robotics: Multi-agent Systems to Real-time Computation
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