Potential Matching Optimal Transport: Continuous Normalizing Flows for Exact $p$-Wasserstein Dynamics

Lishuo Zhang, Ruizhi Huang, Yang Yu +1

We introduce Potential Matching Optimal Transport (PMOT), a potential-flow framework for general $p$-cost optimal transport with $c_p(x,y)=\Vert x-y{\Vert }^p$. PMOT parameterizes the CNF ve…