no code implementations • 27 May 2022 • 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 of the standard OT problem.
no code implementations • 27 May 2022 • Takumi Fukunaga, Hiroyuki Kasai
As a superior alternative, we propose a fast block-coordinate Frank-Wolfe (BCFW) algorithm for a convex semi-relaxed OT.
no code implementations • 10 Mar 2021 • Takumi Fukunaga, Hiroyuki Kasai
To this end, addressing a convex semi-relaxed OT, we propose a fast block-coordinate Frank-Wolfe (BCFW) algorithm, which gives sparse solutions.
1 code implementation • 25 Nov 2020 • Takumi Fukunaga, Hiroyuki Kasai
This paper presents a proposal of a faster Wasserstein $k$-means algorithm for histogram data by reducing Wasserstein distance computations and exploiting sparse simplex projection.