Search Results for author: Kei Hagihara

Found 2 papers, 0 papers with code

The global optimum of shallow neural network is attained by ridgelet transform

no code implementations19 May 2018 Sho Sonoda, Isao Ishikawa, Masahiro Ikeda, Kei Hagihara, Yoshihiro Sawano, Takuo Matsubara, Noboru Murata

We prove that the global minimum of the backpropagation (BP) training problem of neural networks with an arbitrary nonlinear activation is given by the ridgelet transform.

Category of mixed plectic Hodge structures

no code implementations16 May 2017 Kenichi Bannai, Kei Hagihara, Shinichi Kobayashi, Kazuki Yamada, Shuji Yamamoto, Seidai Yasuda

The purpose of this article is to investigate the properties of the category of mixed plectic Hodge structures defined by Nekov\'a\v{r} and Scholl.

Algebraic Geometry 14C30

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