Identifying the Capacity of a Social Network

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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.

识别社交网络的能力
摘要 以一维非稳态抛物线方程的形式考虑了社会网络中信息传播的扩散逻辑模型。将参数识别问题作为一个极值问题,以搜索空间分布的社会网络容量形式的参数。应用了梯度优化方法。结果表明,在可控下降方向的方法中,精确解的收敛性是一致的。
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