MODEL OF NEURAL NETWORKS WITH AN INFINITE NUMBER OF CELLS AND SMALL PARAMETER

  • Sergei Anatolevich Vasilyev Peoples Friendship University of Russia
  • Soltan Kanzitdinovich Kanzitdinov Peoples Friendship University of Russia

Abstract

A method of analysis the dynamics of complex systems using neural networks with an infinite number of cells was investigated. For the Cauchy problem for systems of differential equations of countable order, which describes the neural network with infinite number of cells, considered the question of the existence and uniqueness of its solution.

Author Biographies

Sergei Anatolevich Vasilyev, Peoples Friendship University of Russia

Candidate of Physical and Mathematical Sciences, Associate Professor, Department of Computer Science and Applied Probability Theory of the Faculty of Physics, Mathematics and Natural Sciences

Soltan Kanzitdinovich Kanzitdinov, Peoples Friendship University of Russia

Postgraduate of the Department of Applied Informatics and Probability Theory of the Faculty of Physics, Mathematics and Natural Sciences

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Published
2016-11-25
How to Cite
VASILYEV, Sergei Anatolevich; KANZITDINOV, Soltan Kanzitdinovich. MODEL OF NEURAL NETWORKS WITH AN INFINITE NUMBER OF CELLS AND SMALL PARAMETER. Modern Information Technologies and IT-Education, [S.l.], v. 12, n. 2, p. 15-20, nov. 2016. ISSN 2411-1473. Available at: <http://sitito.cs.msu.ru/index.php/SITITO/article/view/23>. Date accessed: 26 aug. 2025.