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Roles of Clustering Coefficient for the Network Reconstruction
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-10-24
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
It is important to establish relations between the network reconstruction and the topological dynamical structure of networks.
In this article, we quantify the effect for two types of network topologies on the performance of network reconstruction.
First, we generate two network modes with variable clustering coefficient based on Holme-Kim model and Newman-Watts small-world model, then we reconstruct the artificial networks by using a novel framework called L1-norm minimization algorithm based on a theory called compressive sensing (CS), a framework for recovering sparse signals.
The results of the simulation experiment show that the accuracy rate for the network reconstruction is a monotonically increasing function of the clustering coefficient in Holme-Kim model, whereas the opposite occurs in Newman-Watts small-world network.
And this yet demonstrates that the larger the network size, the higher the accuracy rate.
Morever, we compare the results of CS with orthogonal matching pursuit (OMP), a greedy algorithm.
The results show that the accuracy rate of L1-norm minimization method is 10% higher than that of OMP, and OMP yields 1.2 times the computation speed of L1-norm minimization.
Our work demonstrates that the topological structure of network has influence on the accurate reconstruction and it is helpful for offering proper method for the network reconstruction.
American Psychological Association (APA)
Han, Jing-ti& Mao, Changmei. 2018. Roles of Clustering Coefficient for the Network Reconstruction. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1207758
Modern Language Association (MLA)
Han, Jing-ti& Mao, Changmei. Roles of Clustering Coefficient for the Network Reconstruction. Mathematical Problems in Engineering No. 2018 (2018), pp.1-11.
https://search.emarefa.net/detail/BIM-1207758
American Medical Association (AMA)
Han, Jing-ti& Mao, Changmei. Roles of Clustering Coefficient for the Network Reconstruction. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1207758
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1207758