no code implementations • 22 Nov 2023 • Shoichiro Takeda, Yasunori Akagi, Naoki Marumo, Kenta Niwa
On the basis of this reduction, our algorithms solve the small optimization problem instead of the original OT.
no code implementations • 24 Jun 2022 • Yusuke Tanaka, Toshiyuki Tanaka, Tomoharu Iwata, Takeshi Kurashima, Maya Okawa, Yasunori Akagi, Hiroyuki Toda
Since the supports may have various granularities depending on attributes (e. g., poverty rate and crime rate), modeling such data is not straightforward.
no code implementations • NeurIPS 2021 • Yasunori Akagi, Naoki Marumo, Hideaki Kim, Takeshi Kurashima, Hiroyuki Toda
First we show that the MAP inference problem can be formulated as a (non-linear) minimum cost flow problem.
no code implementations • 16 Jun 2020 • Yasunori Akagi, Yusuke Tanaka, Tomoharu Iwata, Takeshi Kurashima, Hiroyuki Toda
In this study, we propose a new framework in which OT is considered as a maximum a posteriori (MAP) solution of a probabilistic generative model.
no code implementations • NeurIPS 2019 • Yusuke Tanaka, Toshiyuki Tanaka, Tomoharu Iwata, Takeshi Kurashima, Maya Okawa, Yasunori Akagi, Hiroyuki Toda
By deriving the posterior GP, we can predict the data value at any location point by considering the spatial correlations and the dependences between areal data sets, simultaneously.