Tam Le

We propose a tree-sliced framework to the Partial Transport setting by observing that the Partial Transport problem on tree-metric spaces can be reformulated as a standard Optimal Transport problem.

Moving beyond $L_p$ geometric structure, we propose novel efficient Orlicz-Sobolev approaches (i.e., Orlicz-EPT, and Orlicz-Sobolev transport) for measures on a graph, possibly having different total mass.