Search Results for author: Takumi Fukunaga

Found 4 papers, 1 papers with code

On the Convergence of Semi-Relaxed Sinkhorn with Marginal Constraint and OT Distance Gaps

no code implementations27 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.

Block-coordinate Frank-Wolfe algorithm and convergence analysis for semi-relaxed optimal transport problem

no code implementations27 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.

Fast block-coordinate Frank-Wolfe algorithm for semi-relaxed optimal transport

no code implementations10 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.

Wasserstein k-means with sparse simplex projection

1 code implementation25 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.

Clustering

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