no code implementations • 25 Sep 2024 • Akiyoshi Sannai, Yuuki Takai, Matthieu Cordonnier
In this paper, we develop a theory about the relationship between invariant and equivariant maps with regard to a group $G$.
no code implementations • 23 Oct 2020 • Yuuki Takai, Akiyoshi Sannai, Matthieu Cordonnier
The classical approach to measure the expressive power of deep neural networks with piecewise linear activations is based on counting their maximum number of linear regions.
1 code implementation • 15 Jun 2020 • Yuuki Takai, Atsushi Miyauchi, Masahiro Ikeda, Yuichi Yoshida
For both algorithms, we discuss theoretical guarantees on the conductance of the output vertex set.
no code implementations • 5 Mar 2019 • Akiyoshi Sannai, Yuuki Takai, Matthieu Cordonnier
In this paper, we develop a theory about the relationship between $G$-invariant/equivariant functions and deep neural networks for finite group $G$.