Detail publikace

Models of Iterated Artificial Neurons

SMETANA, B. CHVALINA, J.

Originální název

Models of Iterated Artificial Neurons

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

angličtina

Originální abstrakt

Abstract. Application of algebraic structures in research of structure of the most used artificial neural network - multilayer perceptron and functionality of artificial neuron, is one from current the most interesting areas in the usage of time varying artificial neurons. In this paper, we have described certain properties of constructed algebraic structures of artificial neurons, including the hypergroup formed by iterated models of artificial neurons. We describe constructions of P-hypergroups - a certain special case of which are variants of semigroups - of artificial time-varying neurons based on investigations of Vougiouklis - Konguetsof and also construction of the cascade with the phase set of neurons. These concepts yield a base for the building of algebraic systems of artificial neurons which deserves to be developed.

Klíčová slova

P-hypergroups, iterated models, artificial neurons, groups of neurons.

Autoři

SMETANA, B.; CHVALINA, J.

Vydáno

5. 2. 2019

Nakladatel

Slovak University of Technology in Bratislava, Faculty of Mechanical Engineering

Místo

Bratislava

ISBN

978-80-227-4884-1

Kniha

18th CONFERENCE ON APPLIED MATHEMATICS APLIMAT 2019 PROCEEDINGS

Strany od

203

Strany do

2012

Strany počet

10

URL

http://evlm.stuba.sk/APLIMAT/indexe.htm

BibTex

@inproceedings{BUT156491,
  author="Jan {Chvalina} and Bedřich {Smetana}",
  title="Models of Iterated Artificial Neurons",
  booktitle="18th CONFERENCE ON APPLIED MATHEMATICS APLIMAT 2019 PROCEEDINGS",
  year="2019",
  pages="203--2012",
  publisher="Slovak University of Technology in Bratislava, Faculty of Mechanical Engineering",
  address="Bratislava",
  isbn="978-80-227-4884-1",
  url="http://evlm.stuba.sk/APLIMAT/indexe.htm"
}