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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 490, Pages 74–77
DOI: https://doi.org/10.31857/S2686954320010166 (Mi danma38) 		 
INFORMATICS

Absence of bottlenecks in a neural network determines its generic functional properties

S. V. Kurochkin

National Research University "Higher School of Economics", Moscow, Russian Federation
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DOI: https://doi.org/10.31857/S2686954320010166
Abstract: It is proved that an artificial neural network with smooth activation functions and without bottlenecks is a Morse function for almost all, with respect to the Lebesgue measure, sets of weights.
Keywords: neural network, Morse function.
Funding agency Grant number
NTI
These results were obtained within the framework of a research project implemented at the Center for Big Data Storage and Analysis of Lomonosov Moscow State University.
Presented: K. V. Rudakov
Received: 08.11.2019
Revised: 08.11.2019
Accepted: 08.11.2019
English version:
Doklady Mathematics, 2020, Volume 101, Issue 1, Pages 62–65
DOI: https://doi.org/10.1134/S1064562420010160
Bibliographic databases:
Document Type: Article
UDC: 519.651
Language: Russian
Citation: S. V. Kurochkin, “Absence of bottlenecks in a neural network determines its generic functional properties”, Dokl. RAN. Math. Inf. Proc. Upr., 490 (2020), 74–77; Dokl. Math., 101:1 (2020), 62–65
Citation in format AMSBIB
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\by S.~V.~Kurochkin
\paper Absence of bottlenecks in a neural network determines its generic functional properties
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2020
\vol 490
\pages 74--77
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\crossref{https://doi.org/10.31857/S2686954320010166}
\zmath{https://zbmath.org/?q=an:07424554}
\elib{https://elibrary.ru/item.asp?id=42579066}
\transl
\jour Dokl. Math.
\yr 2020
\vol 101
\issue 1
\pages 62--65
\crossref{https://doi.org/10.1134/S1064562420010160}
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