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math.OC2026
Entropic Partial Optimal Transport and Partial Gromov--Wasserstein Distance between Gaussian Mixtures
Toshiaki Yachimura, Xiaocheng Zou
Optimal transport and Gromov--Wasserstein distances are useful tools for comparing probability measures and metric measure spaces, but their balanced formulations force all mass to…
math.OC2024
Convergence rate of Tsallis entropic regularized optimal transport
Takeshi Suguro, Toshiaki Yachimura
In this paper, we study the Tsallis entropic regularized optimal transport in the continuous setting and establish fundamental results such as the -convergence of the Tsallis r…