no code implementations • 25 Oct 2023 • Dai Hai Nguyen, Tetsuya Sakurai, Hiroshi Mamitsuka
Notably, the optimization techniques, namely black-box VI and natural-gradient VI, can be reinterpreted as specific instances of the proposed Wasserstein gradient descent.
1 code implementation • 31 Jul 2023 • Dai Hai Nguyen, Tetsuya Sakurai
We consider a general optimization problem of minimizing a composite objective functional defined over a class of probability distributions.
no code implementations • 1 Aug 2022 • Dai Hai Nguyen, Tetsuya Sakurai
We consider the optimization problem of minimizing an objective functional, which admits a variational form and is defined over probability distributions on the constrained domain, which poses challenges to both theoretical analysis and algorithmic design.
1 code implementation • 9 Mar 2022 • Dai Hai Nguyen, Koji Tsuda
We present a framework for embedding graph structured data into a vector space, taking into account node features and topology of a graph into the optimal transport (OT) problem.
1 code implementation • 8 Jun 2021 • Dai Hai Nguyen, Canh Hao Nguyen, Hiroshi Mamitsuka
Graph is an usual representation of relational data, which are ubiquitous in manydomains such as molecules, biological and social networks.
no code implementations • 7 Jun 2021 • Dai Hai Nguyen, Koji Tsuda
We propose a generative model to generate molecules via multi-step chemical reaction trees.