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Volumn 73, Issue 7-9, 2010, Pages 1142-1163

Optimizing an organized modularity measure for topographic graph clustering: A deterministic annealing approach

Author keywords

Clustering; Deterministic annealing; Graph; Modularity; Self organizing maps; Social network

Indexed keywords

CLASSICAL SOLUTIONS; CLUSTERINGS; COMPARATIVE STUDIES; DETERMINISTIC ANNEALING; GRAPH CLUSTERING; GRAPH LAYOUT ALGORITHMS; GRAPH REPRESENTATION; REAL-WORLD GRAPHS; SOCIAL NETWORKS;

EID: 77949262999     PISSN: 09252312     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neucom.2009.11.023     Document Type: Article
Times cited : (24)

References (55)
  • 1
    • 0023346285 scopus 로고
    • Brushing scatterplots
    • Becker A., and Cleveland S. Brushing scatterplots. Technometrics 29 2 (1987) 127-142
    • (1987) Technometrics , vol.29 , Issue.2 , pp. 127-142
    • Becker, A.1    Cleveland, S.2
  • 4
    • 40849145323 scopus 로고    scopus 로고
    • Batch kernel som and related Laplacian methods for social network analysis
    • Boulet R., Jouve B., Rossi F., and Villa N. Batch kernel som and related Laplacian methods for social network analysis. Neurocomputing 71 7-9 (2008) 1257-1273
    • (2008) Neurocomputing , vol.71 , Issue.7-9 , pp. 1257-1273
    • Boulet, R.1    Jouve, B.2    Rossi, F.3    Villa, N.4
  • 5
    • 35348902101 scopus 로고    scopus 로고
    • R. Bourqui, D. Auber, P. Mary, How to draw clusteredweighted graphs using a multilevel force-directed graph drawing algorithm, in: Proceedings of the 11th International Conference Information Visualization, 2007, IV'07, July 2007, pp. 757-764, doi: 10.1109/IV.2007.65.
    • R. Bourqui, D. Auber, P. Mary, How to draw clusteredweighted graphs using a multilevel force-directed graph drawing algorithm, in: Proceedings of the 11th International Conference Information Visualization, 2007, IV'07, July 2007, pp. 757-764, doi: 10.1109/IV.2007.65.
  • 6
    • 45349101600 scopus 로고    scopus 로고
    • Network: a package for managing relational data in r
    • 〈http://www.jstatsoft.org/v24/i02/〉
    • Butts C.T. Network: a package for managing relational data in r. Journal of Statistical Software 24 2 (2008). http://www.jstatsoft.org/v24/i02/ 〈http://www.jstatsoft.org/v24/i02/〉
    • (2008) Journal of Statistical Software , vol.24 , Issue.2
    • Butts, C.T.1
  • 7
    • 0021819411 scopus 로고
    • A thermodynamical approach to the travelling salesman problem: an efficient simulation algorithm
    • Cerny V. A thermodynamical approach to the travelling salesman problem: an efficient simulation algorithm. Journal of Optimization Theory and Applications 45 1 (1985) 41-51
    • (1985) Journal of Optimization Theory and Applications , vol.45 , Issue.1 , pp. 41-51
    • Cerny, V.1
  • 10
    • 27244441304 scopus 로고    scopus 로고
    • Community identification using extremal optimization
    • Duch J., and Arenas A. Community identification using extremal optimization. Physical Review E 72 027104 (2005)
    • (2005) Physical Review E , vol.72 , Issue.027104
    • Duch, J.1    Arenas, A.2
  • 11
    • 29544433882 scopus 로고    scopus 로고
    • Straight-line drawing algorithms for hierarchical graphs and clustered graphs
    • Eades P., Feng Q.-W., Lin X., and Nagamochi H. Straight-line drawing algorithms for hierarchical graphs and clustered graphs. Algorithmica 44 1 (2006) 1-32
    • (2006) Algorithmica , vol.44 , Issue.1 , pp. 1-32
    • Eades, P.1    Feng, Q.-W.2    Lin, X.3    Nagamochi, H.4
  • 13
    • 33846126275 scopus 로고    scopus 로고
    • Resolution limit in community detection
    • 10.1073/pnas.0605965104 URL: 〈http://www.pnas.org/content/104/1/36.abstract〉
    • Fortunato S., and Barthélemy M. Resolution limit in community detection. Proceedings of the National Academy of Sciences 104 1 (2007) 36-41. http://www.pnas.org/content/104/1/36.abstract 10.1073/pnas.0605965104 URL: 〈http://www.pnas.org/content/104/1/36.abstract〉
    • (2007) Proceedings of the National Academy of Sciences , vol.104 , Issue.1 , pp. 36-41
    • Fortunato, S.1    Barthélemy, M.2
  • 14
    • 33847766633 scopus 로고    scopus 로고
    • Random-walk computation of similarities between nodes of a graph, with application to collaborative recommendation
    • March
    • F. Fouss, A. Pirotte, J.-M. Renders, M. Saerens, Random-walk computation of similarities between nodes of a graph, with application to collaborative recommendation, IEEE Transactions on Knowledge and Data Engineering, March 2007, pp. 355-369.
    • (2007) IEEE Transactions on Knowledge and Data Engineering , pp. 355-369
    • Fouss, F.1    Pirotte, A.2    Renders, J.-M.3    Saerens, M.4
  • 17
    • 0000787409 scopus 로고    scopus 로고
    • Phase transitions in stochastic self-organizing maps
    • Graepel T., Burger M., and Obermayer K. Phase transitions in stochastic self-organizing maps. Physical Review E 56 4 (1997) 3876-3890
    • (1997) Physical Review E , vol.56 , Issue.4 , pp. 3876-3890
    • Graepel, T.1    Burger, M.2    Obermayer, K.3
  • 18
    • 0344972928 scopus 로고    scopus 로고
    • Self-organizing maps: generalizations and new optimization techniques
    • Graepel T., Burger M., and Obermayer K. Self-organizing maps: generalizations and new optimization techniques. Neurocomputing 21 (1998) 173-190
    • (1998) Neurocomputing , vol.21 , pp. 173-190
    • Graepel, T.1    Burger, M.2    Obermayer, K.3
  • 23
    • 4043084564 scopus 로고    scopus 로고
    • Tutorial on variational approximation methods
    • Opper M., and Saad D. (Eds), MIT Press, Cambridge
    • Jaakkola T. Tutorial on variational approximation methods. In: Opper M., and Saad D. (Eds). Advanced Mean Field Methods: Theory and Practice (2000), MIT Press, Cambridge 129-159
    • (2000) Advanced Mean Field Methods: Theory and Practice , pp. 129-159
    • Jaakkola, T.1
  • 24
    • 26444479778 scopus 로고
    • Optimization by simulated annealing
    • S. Kirkpatrick, C.D. Gelatt, M.P. Vecchi, Optimization by simulated annealing, Science 220(4598) (1983) 671-680.
    • (1983) Science , vol.220 , Issue.4598 , pp. 671-680
    • Kirkpatrick, S.1    Gelatt, C.D.2    Vecchi, M.P.3
  • 26
    • 0003209045 scopus 로고
    • Self-organizing maps
    • third ed, Springer, Last edition published in
    • T. Kohonen, Self-organizing maps, in: Springer Series in Information Sciences, vol. 30, third ed., Springer, 1995 (Last edition published in 2001).
    • (1995) Springer Series in Information Sciences , vol.30
    • Kohonen, T.1
  • 28
    • 61849137245 scopus 로고    scopus 로고
    • Quality assessment of dimensionality reduction: rank-based criteria
    • 10.1016/j.neucom.2008.12.017 ISSN 0925-2312, URL: 〈http://www.sciencedirect.com/science/article/B6V10-4VBMNF8-2/2/a5e e2fcb92d2ba610f38860935732ee0〉
    • Lee J.A., and Verleysen M. Quality assessment of dimensionality reduction: rank-based criteria. Neurocomputing 72 7-9 (2009) 1431-1443. http://www.sciencedirect.com/science/article/B6V10-4VBMNF8-2/2/a5ee2fcb9 2d2ba610f38860935732ee0 10.1016/j.neucom.2008.12.017 ISSN 0925-2312, URL: 〈http://www.sciencedirect.com/science/article/B6V10-4VBMNF8-2/2/a5e e2fcb92d2ba610f38860935732ee0〉
    • (2009) Neurocomputing , vol.72 , Issue.7-9 , pp. 1431-1443
    • Lee, J.A.1    Verleysen, M.2
  • 29
    • 37449015651 scopus 로고    scopus 로고
    • Deterministic modularity optimization
    • 10.1140/epjb/e2007-00313-2
    • Lehmann S., and Hansen L.K. Deterministic modularity optimization. European Physical Journal B 60 1 (2007) 83-88 10.1140/epjb/e2007-00313-2
    • (2007) European Physical Journal B , vol.60 , Issue.1 , pp. 83-88
    • Lehmann, S.1    Hansen, L.K.2
  • 30
    • 0038718854 scopus 로고    scopus 로고
    • The structure and function of complex networks
    • Newman M.E.J. The structure and function of complex networks. SIAM Review 45 (2003) 167-256
    • (2003) SIAM Review , vol.45 , pp. 167-256
    • Newman, M.E.J.1
  • 31
    • 33749468596 scopus 로고    scopus 로고
    • Finding community structure in networks using the eigenvectors of matrices
    • 10.1103/PhysRevE.74.036104
    • Newman M.E.J. Finding community structure in networks using the eigenvectors of matrices. Physical Review E 74 3 (2006) 10.1103/PhysRevE.74.036104
    • (2006) Physical Review E , vol.74 , Issue.3
    • Newman, M.E.J.1
  • 32
    • 2942564706 scopus 로고    scopus 로고
    • Detecting community structure in networks
    • 10.1140/epjb/e2004-00124-y URL: 〈http://dx.doi.org/10.1140/epjb/e2004-00124-y〉
    • Newman M.E.J. Detecting community structure in networks. European Physics Journal B 38 2 (2004) 321-330. http://dx.doi.org/10.1140/epjb/e2004-00124-y 10.1140/epjb/e2004-00124-y URL: 〈http://dx.doi.org/10.1140/epjb/e2004-00124-y〉
    • (2004) European Physics Journal B , vol.38 , Issue.2 , pp. 321-330
    • Newman, M.E.J.1
  • 33
    • 33745012299 scopus 로고    scopus 로고
    • Modularity and community structure in networks
    • 10.1073/pnas.0601602103 URL: 〈http://www.pnas.org/content/103/23/8577.abstract〉
    • Newman M.E.J. Modularity and community structure in networks. Proceedings of the National Academy of Sciences 103 23 (2006) 8577-8582. http://www.pnas.org/content/103/23/8577.abstract 10.1073/pnas.0601602103 URL: 〈http://www.pnas.org/content/103/23/8577.abstract〉
    • (2006) Proceedings of the National Academy of Sciences , vol.103 , Issue.23 , pp. 8577-8582
    • Newman, M.E.J.1
  • 34
    • 37649028224 scopus 로고    scopus 로고
    • Finding and evaluating community structure in networks
    • 10.1103/PhysRevE.69.026113
    • Newman M.E.J., and Girvan M. Finding and evaluating community structure in networks. Physical Review E 69 2 (2004) 10.1103/PhysRevE.69.026113
    • (2004) Physical Review E , vol.69 , Issue.2
    • Newman, M.E.J.1    Girvan, M.2
  • 36
    • 60949111248 scopus 로고    scopus 로고
    • Modularity clustering is force-directed layout
    • Noack A. Modularity clustering is force-directed layout. Physical Review E 79 026102 (2009)
    • (2009) Physical Review E , vol.79 , Issue.026102
    • Noack, A.1
  • 39
    • 70149113077 scopus 로고    scopus 로고
    • R Foundation for Statistical Computing, Vienna, Austria, URL:, ISBN 3-900051-07-0
    • R Development Core Team, R: A Language and Environment for Statistical Computing, R Foundation for Statistical Computing, Vienna, Austria, 2009, URL: 〈http://www.R-project.org〉, ISBN 3-900051-07-0.
    • (2009) R: A Language and Environment for Statistical Computing
  • 40
    • 33746227724 scopus 로고    scopus 로고
    • Statistical mechanics of community detection
    • Reichardt J., and Bornholdt S. Statistical mechanics of community detection. Physical Review E 74 016110 (2006)
    • (2006) Physical Review E , vol.74 , Issue.016110
    • Reichardt, J.1    Bornholdt, S.2
  • 41
    • 0032202775 scopus 로고    scopus 로고
    • Deterministic annealing for clustering, compression, classification, regression, and related optimization problems
    • 10.1109/5.726788
    • Rose K. Deterministic annealing for clustering, compression, classification, regression, and related optimization problems. Proceedings of the IEEE 86 11 (1998) 2210-2239 10.1109/5.726788
    • (1998) Proceedings of the IEEE , vol.86 , Issue.11 , pp. 2210-2239
    • Rose, K.1
  • 43
    • 0347243182 scopus 로고    scopus 로고
    • Nonlinear component analysis as a kernel eigenvalue problem
    • Schölkopf B., Smola A., and Müller K. Nonlinear component analysis as a kernel eigenvalue problem. Neural Computation 10 (1998) 1299-1319
    • (1998) Neural Computation , vol.10 , pp. 1299-1319
    • Schölkopf, B.1    Smola, A.2    Müller, K.3
  • 45
    • 38049168357 scopus 로고    scopus 로고
    • Som-based data visualization methods
    • Vesanto J. Som-based data visualization methods. Intelligent Data Analysis 3 2 (1999) 111-126
    • (1999) Intelligent Data Analysis , vol.3 , Issue.2 , pp. 111-126
    • Vesanto, J.1
  • 46
    • 0348129885 scopus 로고    scopus 로고
    • PhD thesis, Helsinki University of Technology, Espoo Finland, May, Acta Polytechnica Scandinavica, Mathematics and Computing Series No. 115
    • J. Vesanto, Data exploration process based on the self-organizing Map, PhD thesis, Helsinki University of Technology, Espoo (Finland), May 2002. Acta Polytechnica Scandinavica, Mathematics and Computing Series No. 115.
    • (2002) Data exploration process based on the self-organizing Map
    • Vesanto, J.1
  • 49
    • 34548583274 scopus 로고    scopus 로고
    • A tutorial on spectral clustering
    • URL: 〈http://www.kyb.mpg.de/publications/attachments/luxburg06_TR_v2_413 9%5B1%5D.pdf〉
    • von Luxburg U. A tutorial on spectral clustering. Statistics and Computing 17 4 (2007) 395-416. http://www.kyb.mpg.de/publications/attachments/luxburg06_TR_v2_4139%5B1% 5D.pdf URL: 〈http://www.kyb.mpg.de/publications/attachments/luxburg06_TR_v2_413 9%5B1%5D.pdf〉
    • (2007) Statistics and Computing , vol.17 , Issue.4 , pp. 395-416
    • von Luxburg, U.1
  • 52
    • 0032482432 scopus 로고    scopus 로고
    • Collective dynamics of "small-world" networks
    • Watts D., and Strogatz S. Collective dynamics of "small-world" networks. Nature 393 (1998) 440-442
    • (1998) Nature , vol.393 , pp. 440-442
    • Watts, D.1    Strogatz, S.2
  • 53
    • 61349112688 scopus 로고    scopus 로고
    • Graph nodes clustering with the sigmoid commute-time kernel: a comparative study
    • 10.1016/j.datak.2008.10.006 ISSN 0169-023X, URL: 〈http://www.sciencedirect.com/science/article/B6TYX-4TXF7RW-1/2/6fb 37d67ee3a42425d4b305351476384〉
    • Yen L., Fouss F., Decaestecker C., Francq P., and Saerens M. Graph nodes clustering with the sigmoid commute-time kernel: a comparative study. Data & Knowledge Engineering 68 3 (2009) 338-361. http://www.sciencedirect.com/science/article/B6TYX-4TXF7RW-1/2/6fb37d67e e3a42425d4b305351476384 10.1016/j.datak.2008.10.006 ISSN 0169-023X, URL: 〈http://www.sciencedirect.com/science/article/B6TYX-4TXF7RW-1/2/6fb 37d67ee3a42425d4b305351476384〉
    • (2009) Data & Knowledge Engineering , vol.68 , Issue.3 , pp. 338-361
    • Yen, L.1    Fouss, F.2    Decaestecker, C.3    Francq, P.4    Saerens, M.5
  • 54
    • 42449110882 scopus 로고
    • An information flow model for conflict and fission in small groups
    • Zachary W.W. An information flow model for conflict and fission in small groups. Journal of Anthropological Research 33 4 (1977) 452-473
    • (1977) Journal of Anthropological Research , vol.33 , Issue.4 , pp. 452-473
    • Zachary, W.W.1


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