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math.NA2026
Oriented point-cloud varifolds for estimating the perimeter and computing its Wasserstein gradient flow
Tokuhiro Eto, Noboru Isobe
This paper develops a mesh-free numerical method for the one-phase Mullins-Sekerka flow, in which the interface bounding a set moves as the Wasserstein gradient flow of its perimet…
math.ST2026
Minimax Optimal Estimation of Transport-Growth Pairs in Unbalanced Optimal Transport
Donlapark Ponnoprat, Noboru Isobe, Masaaki Imaizumi
Unbalanced optimal transport (UOT) extends classical optimal transport to measures with different total masses, but statistical guarantees for Monge-type estimation remain limited.…