题名

Quantifying Interactions between Layers in Duplex Networks Using Interactive Entropy

并列篇名

交互作用熵:量化雙層網絡交互作用的新測度

DOI

10.6182/jlis.202012_18(2).031

作者

張家榕(Ronda J. Zhang);葉鷹(Fred Y. Ye)

关键词

Multiplex Network ; Duplex Network ; Interactive Entropy ; 多層網絡 ; 雙層網絡 ; 交互作用熵

期刊名称

圖書資訊學刊

卷期/出版年月

18卷2期(2020 / 12 / 01)

页次

31 - 41

内容语文

英文

中文摘要

The multiplex network has attracted wide attention because it can better describe the various relationships in the real world, and the duplex network is a special two-layer form of it. The purpose of this research focuses on introducing new entropy-based measures for multiplex network, especially duplex network. The new measure called Interactive entropy in duplex network (IE) is based on information entropy, a key concept of information theory. It can be applied to various types of multiplex networks to quantify the differences between the layers of inside duplex network.

英文摘要

多層網絡因其能夠很好地描述現實世界中的各種關係而廣受關注,而雙層網絡是多層網絡的特殊形式。本研究的目的在於引入一種新的基於熵的針對多層網絡,特別是雙層網絡的測度。這種新的測度指標基於資訊論中的關鍵概念-資訊熵,稱作交互作用熵,可應用於各種類型的多層網絡以量化其中雙層之間的差異。

主题分类 人文學 > 圖書資訊學
参考文献
  1. Albert, R.,Barabási, A.(2002).Statistical mechanics of complex networks.Reviews of Modern Physics,74(1),47-97.
  2. Anand, K.,Bianconi, G.(2009).Entropy measures for networks: Toward an information theory of complex topologies.Physical Review E,80(4),45-102.
  3. Barabási, A.,Albert, R.(1999).Emergence of scaling in random networks.Science,286(5439),509-512.
  4. Battiston, F.,Nicosia, V.,Latora, V.(2014).Structural measures for multiplex networks.Physical Review E,89(3),032804.
  5. Boccaletti, S.,Bianconi, G.,Criado, R.,del Genio, C. I.,Gómez-Gardeñes, J.,Romance, M.,Zanin, M.(2014).The structure and dynamics of multilayer networks.Physics Reports,544(1),1-122.
  6. Cai, M.,Cui, Y.,Stanley, H. E.(2017).Analysis and evaluation of the entropy indices of a static network structure.Scientific Reports,7(9340)
  7. Cai, M.,Du, H. F.,Feldman, W. M.(2014).A new network structure entropy based on maximum flow.Acta Physica Sinica,63(6),060504.
  8. Cai, M.,Du, H. F.,Ren, Y. K.(2011).A new network structure entropy based node difference and edge difference.Acta Physica Sinica,60(11),110513.
  9. De Domenico, M.,Biamonte, J.(2016).Spectral entropies as information-theoretic tools for complex network comparison.Physical Review X,6(4),041062.
  10. De Domenico, M.,Solé-Ribalta, A.,Cozzo, E.,Kivelä, M.,Moreno, Y.,Porter, M. A.,Arenas, A.(2013).Mathematical formulation of multilayer networks.Physical Review X,3(4),041022.
  11. Kapferer, B.(1972).Strategy and transaction in an African factory: African wokers and Indian management in a Zambian town.Manchester, England:Manchester University Press.
  12. Kullback, S.,Leibler, R. A.(1951).On information and sufficiency.Annals of Mathematical Statistics,22(1),79-86.
  13. Shannon, C. E. (1948). A mathematical theory of communication. Bell System Technical Journal, 27(4), 623-656. doi: 10.1002/j.1538-7305.1948.tb00917.x
  14. Shi, D.,Chen, D.,Long, H.,Wang, C.,Pan, G.(2019).Quantifying complex network information based on communicability sequence entropy.Scientia Sinica Physica, Mechanica & Astronomica,49(7),070502.
  15. Solé, R. V.,Valverde, S.(2004).Information theory of complex networks: On evolution and architectural constraints.Complex networks,Heidelberg, Germany:
  16. Solé-Ribalta, A.,de Domenico, M.,Gómez, S.,Arenas, A.(2014).Centrality rankings in multiplex networks.Proceedings of the 2014 ACM Conference on Web Science,New York, NY:
  17. Strogatz, S.(2001).Exploring complex networks.Nature,410(6825),268-276.
  18. Wang, B.,Tang, H.,Guo, C.,Xiu, Z.(2006).Entropy optimization of scale-free networks’ robustness to random failures.Physica A: Statistical Mechanics and its Applications,363(2),591-596.
  19. Wu, J.,Tan, Y.-J.,Deng, H.-Z.,Zhu, D.-Z.(2007).Heterogeneity of scale-free networks.Systems Engineering-Theory & Practice,27(5),101-105.
  20. Zhang, Q.,Li, M.,Deng, Y.(2018).Measure the structure similarity of nodes in complex networks based on relative entropy.Physica A: Statistical Mechanics and its Applications,491,749-763.
  21. Zhang, R. J.,Ye, F. Y.(2020).Measuring similarity for clarifying layer difference in multiplex ad hoc duplex information networks.Journal of Informetrics,14(1),100987.
  22. Zhao, S. X.,Rousseau, R.,Ye, F. Y.(2011).h-Degree as a basic measure in weighted networks.Journal of Informetrics,5(4),668-677.
  23. Zhao, S. X.,Ye, F. Y.(2012).Exploring the directed h-degree in directed weighted networks.Journal of Informetrics,6(4),619-630.