Publication detail

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

SMETANA, B. CHVALINA, J.

Original Title

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

English Title

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

Type

journal article in Web of Science

Language

en

Original Abstract

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.

English abstract

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.

Keywords

time-varying artificial neuron; ordered group; transposition hypergroup; linear differential operator

Released

17.07.2019

Publisher

MDPI

Location

Basel, Switzerland.

ISBN

2073-8994

Periodical

Symmetry

Year of study

11

Number

7

State

CH

Pages from

1

Pages to

12

Pages count

12

URL

Full text in the Digital Library

Documents

BibTex


@article{BUT157732,
  author="Bedřich {Smetana} and Jan {Chvalina}",
  title="Series of Semihypergroups of Time-Varying Artificial Neurons and Related Hyperstructures",
  annote="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.",
  address="MDPI",
  chapter="157732",
  doi="10.3390/sym11070927",
  howpublished="online",
  institution="MDPI",
  number="7",
  volume="11",
  year="2019",
  month="july",
  pages="1--12",
  publisher="MDPI",
  type="journal article in Web of Science"
}