Identification of the social network bandwidth function

Recieved: 04/26/2023

Accepted: 10/20/2023

Published: 01/27/2024

Keywords: social networks, mathematical modeling, identification, optimization

To cite this article

Tolstykh M. A. Identification of the social network bandwidth function. // Moscow University Journal. Series 15. Computational Mathematics and Cybernetics. 2024. N 1, p.61-66 https://doi.org/10.55959/MSU/0137-0782-15-2024-47-1-61-66.

This work is licensed under a Сreative Commons Atribiution - NonCommercial 4.0 International (CC BY-NC 4.0)

Tolstykh M. A. ()

Abstract

A diffusion logistic model of information dissemination in a social network in the form of a one-dimensional unsteady parabolic equation is considered. The problem of parametric identification is posed as an extreme problem for finding a parameter in the form of a spatially distributed function of network bandwidth. Gradient optimization methods are applied. The results obtained demonstrated uniform convergence to the exact solution in the method with an adjustable descent direction.