Publication detail

Actions of groups and hypergroups of artificial time varying neurons

SMETANA, B. CHVALINA, J.

Original Title

Actions of groups and hypergroups of artificial time varying neurons

Type

conference paper

Language

English

Original Abstract

The contribution is based on certain analogy between descriptions of differential equations including actions ordinary differential operators and concepts of formal time-varying neurons. Above mentioned concept let authors describe properties of structures and hyperstructures time-varying neurons with fresh view of point to perceptron structure. There is presented the algebraic approach to systems of artificial neurons as a main topic. Moreover we describe actions of group and hypergroups of artificial neurons which is relatively new point of view in the theory of artificial neural networks.

Keywords

Neural network, transposition hypergroups, linear ordinary differential operators, groups of neurons.

Authors

SMETANA, B.; CHVALINA, J.

Released

25. 11. 2019

Location

Brno

ISBN

978-80-7582-123-2

Book

Mathematics, Information Technologies and Applied Sciences 2019 post-conference proceedings of extended versions of selected papers

Edition

1

Edition number

1

Pages from

59

Pages to

66

Pages count

8

URL

http://mitav.unob.cz/data/Mitav2019.pdf

BibTex

@inproceedings{BUT161144,
  author="Bedřich {Smetana} and Jan {Chvalina}",
  title="Actions of groups and hypergroups of artificial time varying neurons",
  booktitle="Mathematics,
Information Technologies
and
Applied Sciences
2019
post-conference proceedings of extended versions
of selected papers",
  year="2019",
  series="1",
  number="1",
  pages="59--66",
  address="Brno",
  isbn="978-80-7582-123-2",
  url="http://mitav.unob.cz/data/Mitav2019.pdf"
}