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arXiv 0803.2189physics.soc-phphysics.data-anphysics.pop-ph
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通过测量社会系统的响应函数揭示的鲁棒动态类

Robust dynamic classes revealed by measuring the response function of a social system

R. Crane, D. Sornette

摘要:

我们使用YouTube上近500万个视频的每日浏览量的时间序列,研究了内源性和外源性活动爆发后社会系统的放松反应。我们发现,大多数活动可以准确地描述为泊松过程。然而,我们也发现了成千上万的例子,其中一个突发的活动是由一个无处不在的幂律松弛控制的时间的意见。我们发现,这些松弛指数聚类成三个不同的类,并允许集体人类动力学的分类。这与包含两个成分的社交网络上的流行病模型是一致的:原因和行动之间的等待时间的幂律分布,以及流行病级联行动成为未来行动的原因。该模型是波动耗散定理在社会系统中的概念性扩展,并为复杂系统中的时序研究提供了一个独特的框架。

英文摘要:

We study the relaxation response of a social system after endogenous and exogenous bursts of activity using the time-series of daily views for nearly 5 million videos on YouTube. We find that most activity can be described accurately as a Poisson process. However, we also find hundreds of thousands of examples in which a burst of activity is followed by an ubiquitous power-law relaxation governing the timing of views. We find that these relaxation exponents cluster into three distinct classes, and allow for the classification of collective human dynamics. This is consistent with an epidemic model on a social network containing two ingredients: A power law distribution of waiting times between cause and action and an epidemic cascade of actions becoming the cause of future actions. This model is a conceptual extension of the fluctuation-dissipation theorem to social systems, and provides a unique framework for the investigation of timing in complex systems.

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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