21 citations · 55 across the 32 of their papers we have counts for
32 papers
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.
Stochastic Thermodynamics on Time-Evolving Curved Spaces
Rihito Nagase, Shoki Sugimoto, Asuka Takatsu +1
We construct stochastic thermodynamics of overdamped Langevin systems on nonrelaticvistic curved spaces with time-dependent metrics. The time dependence of the metric contributes t…
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…
Divergence and Deformed Exponential Family
Hiroshi Matsuzoe, Asuka Takatsu
The Kullback--Leibler divergence together with exponential families establishes the foundation of information geometry and is widely generalized. Among the generalization, we focus…
Optimal Finite-time Maxwell's Demons in Langevin Systems
Takuya Kamijima, Asuka Takatsu, Ken Funo +1
We identify the optimal protocols to achieve the minimal entropy production in finite-time information exchange processes in Langevin systems, on the basis of optimal transport the…
Riemannian starshape and capacitary problems
Kazuhiro Ishige, Paolo Salani, Asuka Takatsu
We prove the Riemannian version of a classical Euclidean result: every level set of the capacitary potential of a starshaped ring is starshaped. In the Riemannian setting, we restr…