Perturbative Expansion of the Fundamental Equation of Online User Dynamics for Describing Changes in Eigenfrequencies
Perturbative Expansion of the Fundamental Equation of Online User Dynamics for Describing Changes in Eigenfrequencies
复制标题
描述特征频率变化的在线用户动力学基本方程的微扰展开
DOI：
10.1109/access.2021.3119364
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发表时间：
2021
期刊：
影响因子：
3.9
通讯作者：
Aida Masaki
中科院分区：
文献类型：
--
作者：
Hirakura Naoki;Aida Masaki
振荡模型已经被提出作为描述在线社交网络中用户动态的理论框架。该模型可以表示由特定网络结构生成的用户动态，并允许明确描述其因果关系。在本文中，通过应用扰动理论的振荡模型的基本方程，我们确认，我们可以明确地跟踪，至少在原则上，在用户动态的变化与网络结构的变化。具体而言，我们制定微扰膨胀到无限阶，通过借鉴从微扰膨胀中发现的推论;有限阶微扰膨胀的准确性进行了评估，数值实验。
The oscillation model has been proposed as a theoretical framework for describing user dynamics in online social networks. This model can represent the user dynamics generated by a particular network structure and allow its causal relationships to be explicitly described. In this paper, by applying perturbation theory to the fundamental equation of the oscillation model, we confirm that we can explicitly trace, at least in principle, the changes in user dynamics associated with changes in the network structure. Specifically, we formulate perturbative expansions up to infinite order, by drawing on inferences from regularities found in perturbative expansions; the accuracy of perturbative expansions of finite order is evaluated by numerical experiments.