论文标题
具有动态切换点的集体内存衰减的两相模型
A two-phase model of collective memory decay with a dynamical switching point
论文作者
论文摘要
自1920年代以来,对社会和群体中共享的重大事件的公开记忆已被概念化和研究为集体记忆。由于最近在公共域知识和在线用户行为数字化方面取得了进步,集体记忆现在已成为使用大型经验数据进行严格定量调查的主题。然而,早期的研究通常仅考虑仅应用于仅在一个特定事件类别中获得的数据应用的一个动力学过程。在这里,我们提出了一个集体内存衰减的两相数学模型,该模型组合了指数阶段和幂律阶段,分别代表快速(线性)和慢速(非线性)衰减动力学。我们将提出的模型应用于Wikipedia页面查看五类重大事件的文章数据:地震,著名人的死亡,航空事故,大规模谋杀事件和恐怖袭击。结果表明,在大多数事件类别中,提出的两相模型与其他现有的集体内存衰减模型进行了比较。在所有事件类别中,发现估计的模型参数相似。提出的模型还允许检测当显性衰减动力学从指数向幂律的相移时,可以检测动态切换点。这种衰减相移通常发生在所有五个事件类别中的峰值之后约10到11天。
Public memories of significant events shared within societies and groups have been conceptualized and studied as collective memory since the 1920s. Thanks to the recent advancement in digitization of public-domain knowledge and online user behaviors, collective memory has now become a subject of rigorous quantitative investigation using large-scale empirical data. Earlier studies, however, typically considered only one dynamical process applied to data obtained in just one specific event category. Here we propose a two-phase mathematical model of collective memory decay that combines exponential and power-law phases, which represent fast (linear) and slow (nonlinear) decay dynamics, respectively. We applied the proposed model to the Wikipedia page view data for articles on significant events in five categories: earthquakes, deaths of notable persons, aviation accidents, mass murder incidents, and terrorist attacks. Results showed that the proposed two-phase model compared favorably with other existing models of collective memory decay in most of the event categories. The estimated model parameters were found to be similar across all the event categories. The proposed model also allowed for detection of a dynamical switching point when the dominant decay dynamics exhibit a phase shift from exponential to power-law. Such decay phase shifts typically occurred about 10 to 11 days after the peak in all of the five event categories.