{"title":"Identifying the Capacity of a Social Network","authors":"","doi":"10.3103/s0278641924010084","DOIUrl":null,"url":null,"abstract":"<span> <h3>Abstract</h3> <p>The diffusive logistic model of information dissemination in a social network is considered in the form of a one-dimensional nonstationary parabolic equation. The problem of parametric identification is posed as an extremum problem for searching the parameter in the form of a spatially distributed social network capacity. Gradient means of optimization are applied. The results demonstrate uniform convergence to an exact solution in the approach with a controllable descent direction.</p> </span>","PeriodicalId":501582,"journal":{"name":"Moscow University Computational Mathematics and Cybernetics","volume":"68 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Moscow University Computational Mathematics and Cybernetics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3103/s0278641924010084","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The diffusive logistic model of information dissemination in a social network is considered in the form of a one-dimensional nonstationary parabolic equation. The problem of parametric identification is posed as an extremum problem for searching the parameter in the form of a spatially distributed social network capacity. Gradient means of optimization are applied. The results demonstrate uniform convergence to an exact solution in the approach with a controllable descent direction.