7 citations · 13 across the 4 of their papers we have counts for
5 papers
On the Convergence of Semi-Relaxed Sinkhorn with Marginal Constraint and OT Distance Gaps
Takumi Fukunaga, Hiroyuki Kasai
This paper presents consideration of the Semi-Relaxed Sinkhorn (SR-Sinkhorn) algorithm for the semi-relaxed optimal transport (SROT) problem, which relaxes one marginal constraint…
Block-coordinate Frank-Wolfe algorithm and convergence analysis for semi-relaxed optimal transport problem
Takumi Fukunaga, Hiroyuki Kasai
The optimal transport (OT) problem has been used widely for machine learning. It is necessary for computation of an OT problem to solve linear programming with tight mass-conservat…
Fast block-coordinate Frank-Wolfe algorithm for semi-relaxed optimal transport
Takumi Fukunaga, Hiroyuki Kasai
Optimal transport (OT), which provides a distance between two probability distributions by considering their spatial locations, has been applied to widely diverse applications. Com…
Wasserstein k-means with sparse simplex projection
Takumi Fukunaga, Hiroyuki Kasai
This paper presents a proposal of a faster Wasserstein -means algorithm for histogram data by reducing Wasserstein distance computations and exploiting sparse simplex projection…
Universal Lévy's stable law of stock market and its characterization
Takumi Fukunaga, Ken Umeno
Price fluctuations in financial markets can be characterized by Lévy's stable distribution, which is supported by the generalized central limit system. When the stable parameters w…