3 papers
math.AP2026
A minimax Bilinear Transport Problem and Nash-Monge-Kantorovich Maps
Rene Cabrera, Edward Huynh
We study a min-max bilinear transport problem arising from a two-player zero-sum game with quadratic kinetic and interaction costs. Starting from a dynamic path space formulation,…
cs.MA2026
Game-Theoretic Autonomous Driving: A Graphs of Convex Sets Approach
Nikolaj Käfer, Ahmed Khalil, Edward Huynh +2
Multi-vehicle autonomous driving couples strategic interaction with hybrid (discrete-continuous) maneuver planning under shared safety constraints. We introduce IBR-GCS, an Iterati…
math.OC2024
A Scalable Method for Optimal Path Planning on Manifolds via a Hopf-Lax Type Formula
Edward Huynh, Christian Parkinson
We consider the problem of optimal path planning on a manifold which is the image of a smooth function. Optimal path-planning is of crucial importance for motion planning, image pr…