Publication result detail

Solvability of certain groups of time varying artificial neurons

CHVALINA, J.; SMETANA, B.

Original Title

Solvability of certain groups of time varying artificial neurons

English Title

Solvability of certain groups of time varying artificial neurons

Type

WoS Article

Original Abstract

In the process of exploration structure of the most used artificial neural network-multilayer perceptron and functionality of artificial neuron, there were established structures of groups of artificial neurons. Currently the most interesting areas is the usage of time varying artificial neurons and their reflections in these algebraic structures. Using certain analogy with relations between structures based on certain groups of linear ordinary differential operators there is investigated access to new view point on these subjects. In this paper there is contained the solution of one classical problem-verification that the corresponding group of time is solvable

English abstract

In the process of exploration structure of the most used artificial neural network-multilayer perceptron and functionality of artificial neuron, there were established structures of groups of artificial neurons. Currently the most interesting areas is the usage of time varying artificial neurons and their reflections in these algebraic structures. Using certain analogy with relations between structures based on certain groups of linear ordinary differential operators there is investigated access to new view point on these subjects. In this paper there is contained the solution of one classical problem-verification that the corresponding group of time is solvable

Keywords

Neural network, linear ordinary differential operators, groups of neurons, solvable groups.

Key words in English

Neural network, linear ordinary differential operators, groups of neurons, solvable groups.

Authors

CHVALINA, J.; SMETANA, B.

RIV year

2022

Released

09.11.2021

ISBN

1126-8042

Periodical

Italian Journal of Pure and Applied Mathematics

Volume

45

Number

1

State

Republic of Italy

Pages from

80

Pages to

94

Pages count

14

URL

https://ijpam.uniud.it/online_issue/IJPAM_no-45-2021.pdf

BibTex

@article{BUT175212,
  author="Jan {Chvalina} and Bedřich {Smetana}",
  title="Solvability of certain groups of time varying artificial neurons",
  journal="Italian Journal of Pure and Applied Mathematics",
  year="2021",
  volume="45",
  number="1",
  pages="80--94",
  issn="1126-8042",
  url="https://ijpam.uniud.it/online_issue/IJPAM_no-45-2021.pdf"
}