网络中的核心-外围结构:一个统计分析

IF 11 Q1 STATISTICS & PROBABILITY Statistics Surveys Pub Date : 2022-02-09 DOI:10.1214/23-ss141
Eric Yanchenko, Srijan Sengupta
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引用次数: 7

摘要

许多现实世界的网络理论上都具有由密集连接的核心和松散连接的外围组成的核心-外围结构。虽然这一现象在一系列科学学科中得到了广泛的研究,但在统计界却没有得到足够的重视。在这篇说明性文章中,我们的目标是提高对这一主题的认识,并鼓励统计学家解决这一领域的许多开放推理问题。为此,我们首先通过回顾已经用于核心-边缘结构定量研究的指标和模型来总结当前的研究概况。接下来,我们将在此背景下制定和探索各种推理问题,如估计、假设检验和贝叶斯推理,并讨论相关的计算技术。我们还概述了核心-外围结构在许多现实世界网络中的多学科科学影响。在整篇文章中,我们从统计的角度提供了我们自己对文献的解释,目标是优先考虑统计社区的贡献将是最有效和最重要的开放问题。
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Core-periphery structure in networks: A statistical exposition
Many real-world networks are theorized to have core-periphery structure consisting of a densely-connected core and a loosely-connected periphery. While this phenomenon has been extensively studied in a range of scientific disciplines, it has not received sufficient attention in the statistics community. In this expository article, our goal is to raise awareness about this topic and encourage statisticians to address the many open inference problems in this area. To this end, we first summarize the current research landscape by reviewing the metrics and models that have been used for quantitative studies on core-periphery structure. Next, we formulate and explore various inferential problems in this context, such as estimation, hypothesis testing, and Bayesian inference, and discuss related computational techniques. We also outline the multidisciplinary scientific impact of core-periphery structure in a number of real-world networks. Throughout the article, we provide our own interpretation of the literature from a statistical perspective, with the goal of prioritizing open problems where contribution from the statistics community will be most effective and important.
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来源期刊
Statistics Surveys
Statistics Surveys STATISTICS & PROBABILITY-
CiteScore
11.70
自引率
0.00%
发文量
5
期刊介绍: Statistics Surveys publishes survey articles in theoretical, computational, and applied statistics. The style of articles may range from reviews of recent research to graduate textbook exposition. Articles may be broad or narrow in scope. The essential requirements are a well specified topic and target audience, together with clear exposition. Statistics Surveys is sponsored by the American Statistical Association, the Bernoulli Society, the Institute of Mathematical Statistics, and by the Statistical Society of Canada.
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