2 citations · 6 across the 11 of their papers we have counts for
3 papers · 1 filter
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.…
Minimax Rates of Estimation for Optimal Transport Map between Infinite-Dimensional Spaces
Donlapark Ponnoprat, Masaaki Imaizumi
We investigate the estimation of an optimal transport map between probability measures on an infinite-dimensional space and reveal its minimax optimal rate. Optimal transport theor…
Uniform Confidence Band for Optimal Transport Map on One-Dimensional Data
Donlapark Ponnoprat, Ryo Okano, Masaaki Imaizumi
We develop a statistical inference method for an optimal transport map between distributions on real numbers with uniform confidence bands. The concept of optimal transport (OT) is…