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

March 30 - April 3, 2020

All times in this Schedule are Pacific Time (PT)

Monday, March 30, 2020
All times in this Schedule are Pacific Time (PT)

8:45 - 9:00

Welcome & Opening Remarks

9:00 - 9:50

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

12:00 - 12:50

Kyriakos G Vamvoudakis (Georgia Institute of Technology)

Solving Game-Theoretic Hamilton-Jacobi Equations in a Model-Free Way

1:00 - 2:00

Lunch (on your own)

2:00 - 2:50

Arthur Krener (Naval Postgraduate School)

Albrekht’s Method in Infinite Dimensions

3:00 - 3:30

Break

3:30 - 4:20

Claire Tomlin (University of California, Berkeley (UC Berkeley))

To Be Announced

Tuesday, March 31, 2020
All times in this Schedule are Pacific Time (PT)

9:00 - 9:50

Helene Frankowska (Centre National de la Recherche Scientifique (CNRS))

Abnormal Hamilton-Jacobi Equations arising in Infinite Horizon Problems

10:00 - 10:30

Break

10:30 - 11:20

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

12:00 - 12:50

Richard Tsai (University of Texas at Austin)

Learning optimal strategies for line-of-sight based games

1:00 - 2:00

Lunch (on your own)

2:00 - 2:50

Yat Tin Chow (University of California, Riverside (UC Riverside))

A numerical method of solving high dimensional Hamilton-Jacobi equations with generalized Hopf-Lax formula

3:00 - 3:30

Break

3:30 - 4:20

Gang George Yin (Wayne State University)

High-Dimensional HJBs: Mean-Field Limits and McKean-Vlasov Equations

Wednesday, April 1, 2020
All times in this Schedule are Pacific Time (PT)

9:00 - 9:50

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

12:00 - 12:50

Karl Kunisch (Universität Graz )

Solution Concepts for Optimal Feedback Control of Nonlinear Partial Differential Equations

1:00 - 2:00

Lunch (on your own)

2:00 - 2:50

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.

3:00 - 3:30

Break

3:30 - 4:20

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
All times in this Schedule are Pacific Time (PT)

9:00 - 9:50

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))

To Be Announced

11:30 - 12:00

Break

12:00 - 12:50

Mo Chen (Simon Fraser University)

A Multi-Pronged Approach to Computational Challenges in HJ Reachability

1:00 - 2:00

Lunch (on your own)

2:00 - 2:50

Ivan Egorov (Yegorov) (North Dakota State University)

Attenuation of the curse of dimensionality in continuous-time nonlinear optimal feedback stabilization problems

3:00 - 3:30

Break

3:30 - 4:20

Matthew Kirchner (University of California, Santa Barbara (UCSB))

Numeric Methods for Reachability with Applications to Vehicle Problems.

Friday, April 3, 2020
All times in this Schedule are Pacific Time (PT)

9:00 - 9:50

Marianne Akian (Institut National de Recherche en Informatique et Automatique (INRIA))

Probabilistic max-plus schemes for solving Hamilton-Jacobi-Bellman equations

10:00 - 10:30

Break

10:30 - 11:20

Sylvia Herbert (University of California, Berkeley (UC Berkeley))

Scalability for Hamilton-Jacobi Reachability Analysis: Decomposition, Warm-Start Initialization, and Model Reduction

11:30 - 12:00

Break

12:00 - 12:50

Somil Bansal (University of California, Berkeley (UC Berkeley))

Scaling Hamilton-Jacobi Reachability Analysis for Robotics: Multi-agent Systems to Real-time Computation