arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2011.05391cs.SIphysics.soc-phquant-ph
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描述在线社交网络中用户动态的基本方程的封闭解

Closed-Form Solutions of the Fundamental Equation That Describes User Dynamics in Online Social Networks

T. Ikeya, Masaki Aida

摘要:

基于网络波动方程的振荡模型可以描述在线社交网络中的用户动态。在振荡模型中引入用户动力学的基本方程,可以显式地描述特定网络结构产生的用户动力学的因果关系。此外,考虑到在线社交网络的稀疏性,设计了一种新的不同形式的基本方程。在本文中,我们推导出一个新的基本方程的封闭形式的解决方案。同时,我们发现新基本方程的封闭解可以生成原波动方程的通解。

英文摘要:

The oscillation model, based on the wave equation on networks, can describe user dynamics in online social networks. The fundamental equation of user dynamics can be introduced into the oscillation model to explicitly describe the causal relation of user dynamics yielded by certain specific network structures. Moreover, by considering the sparseness of online social networks, a novel fundamental equation of different form has been devised. In this paper, we derive a closed-form solution of the new fundamental equation. Also, we find the closed-form solution of the new fundamental equation can generate the general solution of the original wave equation.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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