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

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dc.contributor.authorSmetana, Bedřichcs
dc.contributor.authorChvalina, Jancs
dc.coverage.issue7cs
dc.coverage.volume11cs
dc.date.issued2019-07-17cs
dc.description.abstractDetailed 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 articial neurons. In this article, focusing on semihyperstructures and using the above described procedure, the authors bring new insights into structures and hyperstructures of articial neurons and their possible symmetric relations.en
dc.description.abstractDetailed 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 articial neurons. In this article, focusing on semihyperstructures and using the above described procedure, the authors bring new insights into structures and hyperstructures of articial neurons and their possible symmetric relations.en
dc.formattextcs
dc.format.extent1-12cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationSymmetry-Basel. 2019, vol. 11, issue 7, p. 1-12.en
dc.identifier.doi10.3390/sym11070927cs
dc.identifier.issn2073-8994cs
dc.identifier.orcid0000-0003-2852-0940cs
dc.identifier.other157732cs
dc.identifier.researcheridD-9419-2018cs
dc.identifier.scopus17340083500cs
dc.identifier.urihttp://hdl.handle.net/11012/180743
dc.language.isoencs
dc.publisherMDPIcs
dc.relation.ispartofSymmetry-Baselcs
dc.relation.urihttps://www.mdpi.com/2073-8994/11/7/927cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/2073-8994/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjecttime-varying articial neuronen
dc.subjectordered groupen
dc.subjecttransposition hypergroupen
dc.subjectlinear differential operatoren
dc.subjecttime-varying articial neuron
dc.subjectordered group
dc.subjecttransposition hypergroup
dc.subjectlinear differential operator
dc.titleSeries of Semihypergroups of Time-Varying Articial Neurons and Related Hyperstructuresen
dc.title.alternativeSeries of Semihypergroups of Time-Varying Articial Neurons and Related Hyperstructuresen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-157732en
sync.item.dbtypeVAVen
sync.item.insts2025.10.14 14:10:11en
sync.item.modts2025.10.14 10:36:40en
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav matematikycs

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