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Origins of power-law degree distribution in the heterogeneity of human activity in social networks

机译:人类异质性中幂律度分布的起源   社交网络中的活动

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摘要

The probability distribution of number of ties of an individual in a socialnetwork follows a scale-free power-law. However, how this distribution ariseshas not been conclusively demonstrated in direct analyses of people's actionsin social networks. Here, we perform a causal inference analysis and find anunderlying cause for this phenomenon. Our analysis indicates that heavy-taileddegree distribution is causally determined by similarly skewed distribution ofhuman activity. Specifically, the degree of an individual is entirely random -following a "maximum entropy attachment" model - except for its mean valuewhich depends deterministically on the volume of the users' activity. Thisrelation cannot be explained by interactive models, like preferentialattachment, since the observed actions are not likely to be caused byinteractions with other people.
机译:社交网络中个人联系数量的概率分布遵循无标度幂律。但是,在直接分析人们在社交网络中的行为时,尚未最终证明这种分布是如何产生的。在这里,我们进行因果推断分析,并找到造成这种现象的根本原因。我们的分析表明,重尾度分布是由人类活动的类似偏斜分布决定的。具体地,除了“均值最大取决于用户活动量”的平均值外,个人的程度完全遵循“最大熵依恋”模型。由于观察到的动作不太可能是由与其他人的交互作用引起的,因此无法通过诸如优先附着之类的交互模型来解释这种关系。

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