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

DOI10.1134/S1064562420010160OpenAlexW3026671190MaRDI QIDQ2243704

S. V. Kurochkin

Publication date: 11 November 2021

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562420010160

zbMATH Keywords

neural networkMorse function

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Critical points and critical submanifolds in differential topology (57R70)

Cites Work

• Smooth functions statistics
• The matrix equation \(AX-YB=C\)
• Topology and data
• A note on optimization with Morse polynomials
• An invitation to Morse theory
• Approximation by superpositions of a sigmoidal function
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