21 citations · 55 across the 32 of their papers we have counts for
7 papers · 1 filter
An example of an optimal transport map on a sphere
Asuka Takatsu
We construct an optimal transport map between uniform distributions on two antipodal annuli of a sphere.
Barycenters in Disintegrated optimal transport
Jun Kitagawa, Asuka Takatsu
We prove existence and duality on a wide class of metric spaces, and uniqueness results on any connected, complete Riemannian manifold, with or without boundary, for classical Mong…
Disintegrated optimal transport for metric fiber bundles
Jun Kitagawa, Asuka Takatsu
We define a new two-parameter family of metrics on subsets of Borel probability measures on general metric fiber bundles, called the $ \textit{disintegrated Monge--Kantorovich metr…
Sliced optimal transport: is it a suitable replacement?
Jun Kitagawa, Asuka Takatsu
We introduce a one-parameter family of metrics on the space of Borel probability measures on Euclidean space with finite th moment for , called the $\textit{sli…
High-dimensional metric-measure limit of Stiefel and Grassmann manifolds
Takashi Shioya, Asuka Takatsu
We study the high-dimensional limit of (projective) Stiefel and Grassmann manifolds as metric measure spaces in Gromov's topology. The limits are either the infinite-dimensional Ga…
Behaviors of -exponential distributions in Wasserstein geometry and an evolution equation
Asuka Takatsu
A -exponential distribution is a generalization of an exponential distribution associated to functions in an appropriate class, and the space of -exponential distribution…