Identification of network modules by optimization of ratio association

被引:52
作者
Angelini, L. [1 ]
Boccaletti, S.
Marinazzo, D.
Pellicoro, M.
Stramaglia, S.
机构
[1] Univ Bari, TIRES, Ctr Innovat Technol Signal Detect & Proc, I-70126 Bari, Italy
[2] Dipartimento Interateneo Fis, I-70126 Bari, Italy
[3] Ist Nazl Fis Nucl, Sez Bari, I-70126 Bari, Italy
[4] CNR, Ist Sist Complessi, I-50019 Sesto Fiorentino, Italy
[5] Italian Embassy Tel Aviv, IL-68125 Tel Aviv, Israel
关键词
D O I
10.1063/1.2732162
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We introduce a novel method for identifying the modular structures of a network based on the maximization of an objective function: the ratio association. This cost function arises when the communities detection problem is described in the probabilistic autoencoder frame. An analogy with kernel k-means methods allows us to develop an efficient optimization algorithm, based on the deterministic annealing scheme. The performance of the proposed method is shown on real data sets and on simulated networks. (c) 2007 American Institute of Physics.
引用
收藏
页数:6
相关论文
共 24 条
[1]   Cost functions for pairwise data clustering [J].
Angelini, L ;
Nitti, L ;
Pellicoro, M ;
Stramaglia, S .
PHYSICS LETTERS A, 2001, 285 (5-6) :279-285
[2]   Synchronization reveals topological scales in complex networks [J].
Arenas, A ;
Díaz-Guilera, A ;
Pérez-Vicente, CJ .
PHYSICAL REVIEW LETTERS, 2006, 96 (11)
[3]   Complex networks: Structure and dynamics [J].
Boccaletti, S. ;
Latora, V. ;
Moreno, Y. ;
Chavez, M. ;
Hwang, D. -U. .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2006, 424 (4-5) :175-308
[4]  
BOCCALETTI S, UNPUB
[5]  
DHILLON IS, 2005, TR0425 UTCS
[6]   Community detection in complex networks using extremal optimization [J].
Duch, J ;
Arenas, A .
PHYSICAL REVIEW E, 2005, 72 (02)
[7]  
Duda R.O., 2001, Pattern Classification, V2nd
[8]  
Garey M. R., 1979, Computers and intractability. A guide to the theory of NP-completeness
[9]   Mercer kernel-based clustering in feature space [J].
Girolami, M .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2002, 13 (03) :780-784
[10]   Community structure in social and biological networks [J].
Girvan, M ;
Newman, MEJ .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2002, 99 (12) :7821-7826