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
8:45 - 9:00 Welcome & Opening Remarks: Dean Miguel García-Garibay (Dean of Physical Sciences, UCLA) and Dima Shlyakhtenko (Director, IPAM)
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
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)

Afternoon Session
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))

 

 

Tuesday, March 31, 2020

Morning Session
9:00 - 9:50
Helene Frankowska (Centre National de la Recherche Scientifique (CNRS))

Abnormal Hamilton-Jacobi Equations arising in Infinite Horizon Problems
PDF Presentation
10:00 - 10:30 Break
10:30 - 11:20
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)

Afternoon Session
2:00 - 2:50
3:00 - 3:30 Break
3:30 - 4:20

Wednesday, April 1, 2020

Morning Session
9:00 - 9:50
10:00 - 10:30 Break
10:30 - 11:20
11:30 - 12:00 Break
12:00 - 12:50
1:00 - 2:00 Lunch (on your own)

Afternoon Session
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

Morning Session
9:00 - 9:50
Wei Kang (Naval Postgraduate School)

Data Development and Deep Learning for HJB Equations
PDF Presentation

 
10:00 - 10:30 Break
10:30 - 11:20
Alex Lin (University of California, Los Angeles (UCLA))

 

11:30 - 12:00 Break
12:00 - 12:50
1:00 - 2:00 Lunch (on your own)

Afternoon Session
2:00 - 2:50
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

Morning Session
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
PDF Presentation

 
10:00 - 10:30 Break
10:30 - 11:20
11:30 - 12:00 Break
12:00 - 12:50