著者

石井 雅治

出版者

一般社団法人 日本応用数理学会

雑誌

日本応用数理学会論文誌 (ISSN:24240982)

巻号頁・発行日

vol.17, no.1, pp.1-26, 2007-03-25 (Released:2017-04-08)

参考文献数

10

被引用文献数

1

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In this paper, we set some assumptions for properties of neurons and study global structure of neurovarieties in a function space of 3-layered neural-networks by using these properties. Firstly we determine structure of regular points in neurovarieties as a submanifold of the function space by particularly using one of the properties "differentially strong non-degeneracy". Next we show a distribution of all singular points in the neurovarieties and internal structure of the singular points. Furthermore we show by using one of the properties "approximate degeneracy" that neurovarieties have folded structure.(Theory)