3 papers
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…
math.NA2025
Identification of Differential Equations by Dynamics-Guided Weighted Weak Form with Voting
Jiahui Cheng, Sung Ha Kang, Haomin Zhou +1
In the identification of differential equations from data, significant progresses have been made with the weak/integral formulation. In this paper, we explore the direction of find…