Series of Semihypergroups of Time-Varying Artificial Neurons and Related Hyperstructures

Series of Semihypergroups of Time-Varying Artificial Neurons and Related Hyperstructures

Detailed analysis of the function of multilayer perceptron (MLP) and its neurons together with the use of time-varying neurons allowed the authors to find an analogy with the use of structures of linear differential operators. This procedure allowed the construction of a group and a hypergroup of ar...

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Main Authors: Jan Chvalina, Bedřich Smetana
Format: Article
Language:English
Published: MDPI AG 2019-07-01
Series:Symmetry
Subjects:
time-varying artificial neuron
ordered group
transposition hypergroup
linear differential operator
Online Access:https://www.mdpi.com/2073-8994/11/7/927
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spelling doaj-96f635af4f6341a1ab4b0b87021c4a1a2020-11-25T01:42:51ZengMDPI AGSymmetry2073-89942019-07-0111792710.3390/sym11070927sym11070927Series of Semihypergroups of Time-Varying Artificial Neurons and Related HyperstructuresJan Chvalina0Bedřich Smetana1Department of Mathematics, Faculty of Electrical Engineeering and Comunication, Brno University of Technology, Technická 8, 616 00 Brno, Czech RepublicDepartment of Mathematics, Faculty of Electrical Engineeering and Comunication, Brno University of Technology, Technická 8, 616 00 Brno, Czech RepublicDetailed analysis of the function of multilayer perceptron (MLP) and its neurons together with the use of time-varying neurons allowed the authors to find an analogy with the use of structures of linear differential operators. This procedure allowed the construction of a group and a hypergroup of artificial neurons. In this article, focusing on semihyperstructures and using the above described procedure, the authors bring new insights into structures and hyperstructures of artificial neurons and their possible symmetric relations.https://www.mdpi.com/2073-8994/11/7/927time-varying artificial neuronordered grouptransposition hypergrouplinear differential operator
collection DOAJ
language English
format Article
sources DOAJ
author Jan Chvalina
Bedřich Smetana
spellingShingle Jan Chvalina
Bedřich Smetana
Series of Semihypergroups of Time-Varying Artificial Neurons and Related Hyperstructures
Symmetry
time-varying artificial neuron
ordered group
transposition hypergroup
linear differential operator
author_facet Jan Chvalina
Bedřich Smetana
author_sort Jan Chvalina
title Series of Semihypergroups of Time-Varying Artificial Neurons and Related Hyperstructures
title_short Series of Semihypergroups of Time-Varying Artificial Neurons and Related Hyperstructures
title_full Series of Semihypergroups of Time-Varying Artificial Neurons and Related Hyperstructures
title_fullStr Series of Semihypergroups of Time-Varying Artificial Neurons and Related Hyperstructures
title_full_unstemmed Series of Semihypergroups of Time-Varying Artificial Neurons and Related Hyperstructures
title_sort series of semihypergroups of time-varying artificial neurons and related hyperstructures
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2019-07-01
description Detailed analysis of the function of multilayer perceptron (MLP) and its neurons together with the use of time-varying neurons allowed the authors to find an analogy with the use of structures of linear differential operators. This procedure allowed the construction of a group and a hypergroup of artificial neurons. In this article, focusing on semihyperstructures and using the above described procedure, the authors bring new insights into structures and hyperstructures of artificial neurons and their possible symmetric relations.
topic time-varying artificial neuron
ordered group
transposition hypergroup
linear differential operator
url https://www.mdpi.com/2073-8994/11/7/927
work_keys_str_mv AT janchvalina seriesofsemihypergroupsoftimevaryingartificialneuronsandrelatedhyperstructures
AT bedrichsmetana seriesofsemihypergroupsoftimevaryingartificialneuronsandrelatedhyperstructures
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