On endomorphisms of the additive monoid of subnets of a two-layer neural network

DOI10.26516/1997-7670.2022.39.111zbMath1495.20052OpenAlexW4225870300MaRDI QIDQ2136318

Andreĭ Viktorovich Litavrin

Publication date: 10 May 2022

Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)

Full work available at URL: https://mathizv.isu.ru/en/article/file?id=1406

zbMATH Keywords

feedforward multilayer neural networkgroupoid endomorphismmultilayer neural network subnet

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) Semigroups of transformations, relations, partitions, etc. (20M20) Sets with a single binary operation (groupoids) (20N02)

Related Items (2)

On an element-by-element description of the monoid of all endomorphisms of an arbitrary groupoid and one classification of endomorphisms of a groupoid ⋮ On anti-endomorphisms of groupoids

Cites Work

• Endomorphism semigroups of some free products.
• Elementary abelian 2-subgroups in an autotopism group of a semifield projective plane
• Endomorphisms of some groupoids of order \(k+k^2\)
• Endomorphisms of the semigroup \(G_2(R)\) over partially ordered commutative rings without zero divisors and with \(1/2\).
• Algebraic Properties of Abstract Neural Network
• A logical calculus of the ideas immanent in nervous activity
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