论文标题

优先选择模型的一般解决方案

A general solution to the preferential selection model

论文作者

Williams, Jake Ryland, Solano-Oropeza, Diana, Hunsberger, Jacob R.

论文摘要

我们为赫伯特·西蒙(Herbert Simon)的1955年模型提供了一种一般的分析解决方案,用于随时间不断发展的新颖功能。这具有深远的后果:西蒙是巴拉巴西(Barabasi)1999年为增长社交网络的优先依恋模型的预备模型,而我们对它的一般抽象进行了更多的抽象,更多地认为是链接选择的形式。我们表明,可以从分布的角度对任何类型的系统建模的任何系统,即出现数据(频率)---可以是基本建模(和模拟)的,具有异常高度的精度。

We provide a general analytic solution to Herbert Simon's 1955 model for time-evolving novelty functions. This has far-reaching consequences: Simon's is a pre-cursor model for Barabasi's 1999 preferential attachment model for growing social networks, and our general abstraction of it more considers attachment to be a form of link selection. We show that any system which can be modeled as instances of types---i.e., occurrence data (frequencies)---can be generatively modeled (and simulated) from a distributional perspective with an exceptionally high-degree of accuracy.

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