no code implementations • 24 Oct 2023 • Jianming Huang, Xun Su, Zhongxi Fang, Hiroyuki Kasai
Therefore, we propose a translated OT problem designated as the anchor space optimal transport (ASOT) problem, which is specially designed for batch processing of multiple OT problem solutions.
no code implementations • 1 Jul 2023 • Xun Su, Zhongxi Fang, Hiroyuki Kasai
We demonstrate the feasibility of applying Safe Screening to the UOT problem with $\ell_2$-penalty and KL-penalty by conducting an analysis of the solution's bounds and considering the local strong convexity of the dual problem.
1 code implementation • 9 Jul 2022 • Zhongxi Fang, Jianming Huang, Xun Su, Hiroyuki Kasai
In this paper, we propose a novel graph metric called the Wasserstein WL Subtree (WWLS) distance to address this problem.
no code implementations • 29 Sep 2021 • Zhongxi Fang, Jianming Huang, Hiroyuki Kasai
Therefore, instead of using such categorical labels, we define a node distance between WL subtrees with tree edit distance and propose an efficient calculation algorithm.
1 code implementation • 7 Dec 2020 • Jianming Huang, Zhongxi Fang, Hiroyuki Kasai
Therefore, we propose a novel metric space by exploiting the proposed LCS-based similarity, and compute a new Wasserstein-based graph distance in this metric space, which emphasizes more the comparison between similar paths.