Result Details

Enlargement and algebraization of the systems of chains of groups of differential neurons

CHVALINA, J.; NOVÁK, M.; SMETANA, B. Enlargement and algebraization of the systems of chains of groups of differential neurons. Mathematics, Information Technologies and Applied Sciences 2024, post-conference proceedings of extended versions of selected papers. Brno: Univerzita obrany, 2024. p. 55-65.
Type
conference paper
Language
English
Authors
Chvalina Jan, prof. RNDr., DrSc.
Novák Michal, doc. RNDr., Ph.D., UMAT (FEEC)
Smetana Bedřich, RNDr., Ph.D.
Abstract

In the contribution there are used artificial neurons which are basic stones of neural networks. We treat certain properties of constructed algebraic structures of artificial neurons. In particular, we construct chains of differential neurons and hypergroupoids using proximity spaces. Moreover there is used the theory of presheaves which belongs to the important part of general topology.

Keywords

hypergroupoid, differential neurons, proximity space

URL
Published
2024
Pages
55–65
Proceedings
Mathematics, Information Technologies and Applied Sciences 2024, post-conference proceedings of extended versions of selected papers
Conference
MITAV 2024
Publisher
Univerzita obrany
Place
Brno
BibTeX 
@inproceedings{BUT197015,
  author="Jan {Chvalina} and Michal {Novák} and Bedřich {Smetana}",
  title="Enlargement and algebraization of the systems of chains of groups of differential neurons",
  booktitle="Mathematics, Information Technologies and Applied Sciences 2024, post-conference proceedings of extended versions of selected papers",
  year="2024",
  pages="55--65",
  publisher="Univerzita obrany",
  address="Brno",
  url="http://mitav.unob.cz"
}
Departments
Department of Mathematics (UMAT)
Back to top