Numerical Solution of the Inverse Problem for Diffusion-Logistic Model Arising in Online Social Networks

Krivorotko, Olga; Zvonareva, Tatiana; Zyatkov, Nikolay

doi:10.1007/978-3-030-86433-0_31

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2022

2023

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Cited by 3 publications

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“…These parameters describe the main features of information diffusion in a social network. The aim of the work is to clarify the source of information propagation for formulation the control problem of such diffusion [3]. Methods and Algorithms: The problem of determining the initial condition is reduced to the problem of minimization of the misfit function (inverse problem) which was solved by the global, local and hybrid optimization methods:…”

Section: Motivation and Aimmentioning

confidence: 99%

Mathematical modeling of information diffusion in Twitter

2022

The Thirteenth International Multiconference

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Section: Motivation and Aimmentioning

confidence: 99%

Mathematical modeling of information diffusion in Twitter

2022

The Thirteenth International Multiconference

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Identifiability Analysis for Source Problem of Quasi-Hyperbolic Equation

Zvonareva,

Krivorotko

2023

2023 5th International Conference on Problems of Cybernetics and Informatics (PCI)

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Numerical Algorithm for Source Determination in a Diffusion–Logistic Model from Integral Data Based on Tensor Optimization

Zvonareva,

Kabanikhin,

Krivorotko

2023

Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki

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An algorithm has been developed for numerically solving the source determination problem in the model of information dissemination in synthetic online social networks, described by reaction–diffusion-type equations, using additional information about the process at fixed time points. The degree of ill-posedness of the source determination problem for a parabolic equation is studied based on the analysis of singular values of the linearized operator of the inverse problem. The algorithm developed is based on a combination of the tensor optimization method and gradient descent supplemented with the A.N. Tikhonov regularization. Numerical calculations demonstrate the smallest relative error in the reconstructed source obtained by the developed algorithm in comparison with classical approaches.

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Numerical Solution of the Inverse Problem for Diffusion-Logistic Model Arising in Online Social Networks

Cited by 3 publications

References 14 publications

Mathematical modeling of information diffusion in Twitter

Mathematical modeling of information diffusion in Twitter

Identifiability Analysis for Source Problem of Quasi-Hyperbolic Equation

Numerical Algorithm for Source Determination in a Diffusion–Logistic Model from Integral Data Based on Tensor Optimization

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