Universal approximations of permutation invariant/equivariant functions by deep neural networks. - Akiyoshi Sannai; Yuuki Takai; Matthieu Cordonnier (CoRR, 2019)

Hypergraph Clustering Based on PageRank. - Yuuki Takai; Atsushi Miyauchi 001; Masahiro Ikeda; Yuichi Yoshida (KDD, 2020)

On the number of linear functions composing deep neural network: Towards a refined definition of neural networks complexity. - Yuuki Takai; Akiyoshi Sannai; Matthieu Cordonnier (AISTATS, 2021)

Cover time of graphs with bounded genus. - Naoki Matsumoto; Yuuki Takai (CoRR, 2022)

Finding Cheeger cuts in hypergraphs via heat equation. - Masahiro Ikeda; Atsushi Miyauchi 001; Yuuki Takai; Yuichi Yoshida (Theor. Comput. Sci., 2022)

Decomposition of Equivariant Maps via Invariant Maps: Application to Universal Approximation under Symmetry. - Akiyoshi Sannai; Yuuki Takai; Matthieu Cordonnier (Trans. Mach. Learn. Res., 2024)