影响社团特性的微观结构因素解耦分析

Decoupling Analysis of Micro-Scale Structures Affecting Network Community Characteristic

现有的网络微观结构对社团特性影响的定性和定量分析,方法上还没有通用可靠的框架,实验数据集一般较小,说服力不强,此外也没有充分拆解各因素之间的耦合性。在定性分析上,采用基于零模型和“显著性检验”的微观结构对社团特性影响的分析方法,对各种类型网络进行了社团结构显著性检测,实现了微观结构对社团特性影响的质性分析。在定量分析上,提出基于零模型和“中介效应分析”的微观结构对社团特性影响的分析方法,将已知社团结构显著性类型网络的原始网络与零模型或零模型与零模型间模块度值作差,剔除微观结构对社团特性的作用,量化出不同社团结构显著性类型网络的不同阶数网络微观结构对社团特性的贡献程度。该文使用社交生物、科技、交通、经济、信息等不同规模的550个实证网络进行实验分析,全面深入分析了微观结构对社团特性产生的作用,有利于理解社团特性的形成机制。

The existing researches lack a uniform and valid paradigm for qualitative and quantitative analysis of the influence of network microstructure on community characteristics.In addition,the existing researches are not convincing due to limited experimental data set and insufficient consideration of the coupling between various factors.For the purpose of qualitative analysis,we conduct the analysis of the influence of microstructure on community characteristics based on null models and“Significance Test”,and complete the community structure significance detection for various types of networks,thereby accomplishing the qualitative analysis of the influence of microstructure on community characteristics.To quantitatively analyze how microstructure affects community characteristic,the paper proposes a model based on null models and“Mediating Effects Analysis”.Additionally,it also analyzes the differences of modularity values between the original network and null models or between null models and null models of community structure significance type network,eliminates the effects of microstructure on community characteristics,and quantifies the contributions of various types of network microstructure to community characteristics of different community structure significance types of networks.A comprehensive analysis of the function of microstructure on the characteristics of communities is conducted based on 550 empirical networks of different scales,including social biology,science and technology,transportation,economy,and information.This will enable a deeper understanding of the mechanism responsible for the formation of community characteristics.