AI RESEARCH
Globally Solving Unbalanced Optimal Transport and Density Control for Gaussian Distributions
arXiv CS.LG
•
ArXi:2605.04246v1 Announce Type: cross In this article, we study unbalanced optimal transport (UOT) and establish a control-theoretic dynamical extension, which we call the unbalanced density control (UDC), for a class of Gaussian reference measures. In the static setting, we consider UOT with quadratic transport cost and Kullback--Leibler penalties on the marginals relative to prescribed Gaussian measures.