论文标题

分类,假设检验和估计量收敛的问题在网络中的程度分布分析中

Problems with classification, hypothesis testing, and estimator convergence in the analysis of degree distributions in networks

论文作者

van der Hoorn, Pim, Voitalov, Ivan, van der Hofstad, Remco, Krioukov, Dmitri

论文摘要

在最近的工作“无标度网络很少见”的工作中,Broido和Clauset解决了网络中学位分布的分析问题,以将其归类为“规模柔性”的不同优势。在过去的二十年中,网络科学中的众多论文报告说,许多现实世界网络中的学位分布遵循权力法。然后将这样的网络称为无标度。但是,由于缺乏精确的定义,该术语已演变为意味着一系列不同的事物,从而导致有关给定网络规模繁琐的混乱和矛盾的主张。认识到这个问题,“无尺度网络是罕见的”作者尝试修复它。他们试图开发一种多功能和统计原则的方法,以消除网络科学文献中积累的这种无规模的歧义。尽管他们的论文提出了解决这个基本问题的公平尝试,但我们必须将注意力集中在其中的一些重要问题上。

In their recent work "Scale-free networks are rare", Broido and Clauset address the problem of the analysis of degree distributions in networks to classify them as scale-free at different strengths of "scale-freeness." Over the last two decades, a multitude of papers in network science have reported that the degree distributions in many real-world networks follow power laws. Such networks were then referred to as scale-free. However, due to a lack of a precise definition, the term has evolved to mean a range of different things, leading to confusion and contradictory claims regarding scale-freeness of a given network. Recognizing this problem, the authors of "Scale-free networks are rare" try to fix it. They attempt to develop a versatile and statistically principled approach to remove this scale-free ambiguity accumulated in network science literature. Although their paper presents a fair attempt to address this fundamental problem, we must bring attention to some important issues in it.

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