论文标题
用主方程式建模Twitter主题标签的受欢迎程度
Modeling the Popularity of Twitter Hashtags with Master Equations
论文作者
论文摘要
在这项工作中，我们介绍了一个基于主方程的模型，以描述Twitter社交网络上主题和主题标签的流行时间的时间演变。具体而言，我们对网络上某些主题标签作为时间的函数的次数进行建模。在我们的模型中，该数量的行为取决于网络的程度分布以及社区对主题或主题标签的外在利益。从主方程中，我们能够获得平均值和差异的明确解决方案。我们提出了一个伽马内核功能来对主题受欢迎程度进行建模，这非常简单，并产生合理的结果。最后，我们通过分析通过公共API获得的实际Twitter数据来验证模型的合理性。
In this work we introduce a model based on master equations to describe the time evolution of the popularity of topics and hashtags on the Twitter social network. Specifically, we model the number of times a certain hashtag appears on the network as a function of time. In our model, the behavior of this quantity depends on the degree distribution of the network and the extrinsic interest the community has for the topic or hashtag. From the master equation, we are able to obtain explicit solutions for the mean and variance. We propose a gamma kernel function to model the topic popularity, which is quite simple and yields reasonable results. Finally, we validate the plausibility of the model by analyzing actual Twitter data obtained through the public API.
