Multi-Agent Path-Planning in a Moving Medium
via Wasserstein Hamiltonian Flow
BSU Mathematics Seminar
- When
-
Monday, February 9, 2026
• 3:00 pm – 4:00 pm (ET) - Where
- DMF 461
- Speaker
- Christina A. Frederick (New Jersey Institute of Technology)
- Format
- In-person / Zoom details TBA
- Organizers
- Vignon Oussa (VOUSSA@bridgew.edu)
Abstract
I’ll discuss a finite dimensional variational model for multi-agent path-planning in which a group
of agents traverses from initial positions to a target distribution in a moving medium. The model
is derived using the agent-based formulation of the Wasserstein Hamiltonian flows that transport
between probability distributions while optimizing a running cost. The objective is the mismatch
between their final positions and the target distribution. The constraints are a system of Hamiltonian
equations that provide the trajectories of the agents. The free variables on which the optimization
is defined form a finite vector of the initial velocities for the agents. The model is solved numerically
by the L-BFGS method in conjunction with a shooting strategy. Several simulation examples, including
a time-dependent moving medium, are presented to illustrate the performance of the model.
Short Bio
Short bio to be provided by the speaker.
Questions? Contact the organizer:
Vignon Oussa.