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math.OC2026
Multi-agent path-planning in a moving medium via Wasserstein Hamiltonian Flow
Christina Frederick, Haomin Zhou
We present 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 med…
math.OC2025
PDPO: Parametric Density Path Optimization
Sebastian Gutierrez Hernandez, Peng Chen, Haomin Zhou
We introduce Parametric Density Path Optimization (PDPO), a novel method for computing action-minimizing paths between probability densities. The core idea is to represent the targ…