Skip to main content

2017 | OriginalPaper | Buchkapitel

4. Network Structure Balance Analytics with Evolutionary Optimization

verfasst von : Maoguo Gong, Qing Cai, Lijia Ma, Shanfeng Wang, Yu Lei

Erschienen in: Computational Intelligence for Network Structure Analytics

Verlag: Springer Singapore

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Structural balance enables a comprehensive understanding of the potential tensions and conflicts beneath signed networks, and its computation and transformation have attracted increasing attention in recent years. The balance computation aims at evaluating the distance from an unbalanced network to a balanced one, and the balance transformation is to convert an unbalanced network into a balanced one. This chapter focuses on evolutionary algorithms to solve network structure balance problem. First, this chapter overviews recent works on the evolutionary computations for structure balance computation and transformation in signed networks. Then, two representative memetic algorithm for the computation of structure balance in a strong definition are introduced. Next, a multilevel learning based memetic algorithm for the balance computation and the balance transformation of signed networks in a weak definition are presented. Finally, a two-step method based on evolutionary multi-objective optimization for weak structure balance are presented.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Fußnoten
1
Acknowledgement: Reprinted from Physica A: Statistical Mechanics and its Applications, 415, Sun, Y., Du, H., Gong, M., Ma, L., Wang, S., Fast computing global structural balance in signed networks based on memetic algorithm, 261–272, Copyright(2014), with permission from Elsevier.
 
2
Acknowledgement: Reprinted from Social Networks, 44, Wang, S., Gong, M., Du, H., Ma, L., Miao, Q., Du, W., Optimizing dynamical changes of structural balance in signed network based on memetic algorithm, 64–73, Copyright(2016), with permission from Elsevier.
 
3
Acknowledgement: Reprinted from Knowledge-Based Systems, 85, Ma, L., Gong, M., Du, H., Shen, B., Jiao, L., A memetic algorithm for computing and transforming structural balance in signed networks, 196–209, Copyright(2015), with permission from Elsevier.
 
Literatur
1.
Zurück zum Zitat Antal, T., Krapivsky, P., Redner, S.: Dynamics of social balance on networks. Phys. Rev. E 72(3), 036,121 (2005) Antal, T., Krapivsky, P., Redner, S.: Dynamics of social balance on networks. Phys. Rev. E 72(3), 036,121 (2005)
2.
Zurück zum Zitat Antal, T., Krapivsky, P.L., Redner, S.: Social balance on networks: the dynamics of friendship and enmity. Phys. D: Nonlinear Phenom. 224(1), 130–136 (2006)MathSciNetCrossRefMATH Antal, T., Krapivsky, P.L., Redner, S.: Social balance on networks: the dynamics of friendship and enmity. Phys. D: Nonlinear Phenom. 224(1), 130–136 (2006)MathSciNetCrossRefMATH
3.
Zurück zum Zitat Barahona, F.: On the computational complexity of ising spin glass models. J. Phys. A: Math. Gen. 15(10), 3241 (1982)MathSciNetCrossRef Barahona, F.: On the computational complexity of ising spin glass models. J. Phys. A: Math. Gen. 15(10), 3241 (1982)MathSciNetCrossRef
4.
Zurück zum Zitat Cai, Q., Gong, M., Ruan, S., Miao, Q., Du, H.: Network structural balance based on evolutionary multiobjective optimization: a two-step approach. IEEE Trans. Evol. Comput. 19(6), 903–916 (2015)CrossRef Cai, Q., Gong, M., Ruan, S., Miao, Q., Du, H.: Network structural balance based on evolutionary multiobjective optimization: a two-step approach. IEEE Trans. Evol. Comput. 19(6), 903–916 (2015)CrossRef
5.
Zurück zum Zitat Chen, X., Ong, Y.S., Lim, M.H., Tan, K.C.: A multi-facet survey on memetic computation. IEEE Trans. Evol. Comput. 15(5), 591–607 (2011)CrossRef Chen, X., Ong, Y.S., Lim, M.H., Tan, K.C.: A multi-facet survey on memetic computation. IEEE Trans. Evol. Comput. 15(5), 591–607 (2011)CrossRef
6.
Zurück zum Zitat Deb, K., Pratap, A., Agarwal, S., Meyarivan, T.: A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans. Evol. Comput. 6(2), 182–197 (2002)CrossRef Deb, K., Pratap, A., Agarwal, S., Meyarivan, T.: A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans. Evol. Comput. 6(2), 182–197 (2002)CrossRef
7.
Zurück zum Zitat Doreian, P., Lloyd, P., Mrvar, A.: Partitioning large signed two-mode networks: problems and prospects. Soc. Netw. 35(2), 178–203 (2013)CrossRef Doreian, P., Lloyd, P., Mrvar, A.: Partitioning large signed two-mode networks: problems and prospects. Soc. Netw. 35(2), 178–203 (2013)CrossRef
8.
Zurück zum Zitat Doreian, P., Mrvar, A.: Partitioning signed social networks. Soc. Netw. 31(1), 1–11 (2009)CrossRefMATH Doreian, P., Mrvar, A.: Partitioning signed social networks. Soc. Netw. 31(1), 1–11 (2009)CrossRefMATH
9.
Zurück zum Zitat Easley, D., Kleinberg, J.: Networks, crowds, and markets: reasoning about a highly connected world. Cambridge University Press (2010) Easley, D., Kleinberg, J.: Networks, crowds, and markets: reasoning about a highly connected world. Cambridge University Press (2010)
10.
Zurück zum Zitat Esmailian, P., Abtahi, S.E., Jalili, M.: Mesoscopic analysis of online social networks: the role of negative ties. Phys. Rev. E 90(4), 042,817 (2014) Esmailian, P., Abtahi, S.E., Jalili, M.: Mesoscopic analysis of online social networks: the role of negative ties. Phys. Rev. E 90(4), 042,817 (2014)
11.
Zurück zum Zitat Facchetti, G., Iacono, G., Altafini, C.: Computing global structural balance in large-scale signed social networks. Proc. Nat. Acad. Sci. 108(52), 20953–20958 (2011)CrossRef Facchetti, G., Iacono, G., Altafini, C.: Computing global structural balance in large-scale signed social networks. Proc. Nat. Acad. Sci. 108(52), 20953–20958 (2011)CrossRef
12.
Zurück zum Zitat Facchetti, G., Iacono, G., Altafini, C.: Exploring the low-energy landscape of large-scale signed social networks. Phys. Rev. E 86(3), 036,116 (2012) Facchetti, G., Iacono, G., Altafini, C.: Exploring the low-energy landscape of large-scale signed social networks. Phys. Rev. E 86(3), 036,116 (2012)
13.
Zurück zum Zitat Gómez, S., Jensen, P., Arenas, A.: Analysis of community structure in networks of correlated data. Phys. Rev. E 80, 016,114 (2009) Gómez, S., Jensen, P., Arenas, A.: Analysis of community structure in networks of correlated data. Phys. Rev. E 80, 016,114 (2009)
14.
Zurück zum Zitat Gong, M., Cai, Q., Chen, X., Ma, L.: Complex network clustering by multiobjective discrete particle swarm optimization based on decomposition. IEEE Trans. Evol. Comput. 18(1), 82–97 (2014)CrossRef Gong, M., Cai, Q., Chen, X., Ma, L.: Complex network clustering by multiobjective discrete particle swarm optimization based on decomposition. IEEE Trans. Evol. Comput. 18(1), 82–97 (2014)CrossRef
15.
Zurück zum Zitat Gong, M., Fu, B., Jiao, L., Du, H.: Memetic algorithm for community detection in networks. Phys. Rev. E 84(5), 056,101 (2011) Gong, M., Fu, B., Jiao, L., Du, H.: Memetic algorithm for community detection in networks. Phys. Rev. E 84(5), 056,101 (2011)
16.
Zurück zum Zitat Gong, M., Ma, L., Zhang, Q., Jiao, L.: Community detection in networks by using multiobjective evolutionary algorithm with decomposition. Phys. A: Stat. Mech. Appl. 391(15), 4050–4060 (2012)CrossRef Gong, M., Ma, L., Zhang, Q., Jiao, L.: Community detection in networks by using multiobjective evolutionary algorithm with decomposition. Phys. A: Stat. Mech. Appl. 391(15), 4050–4060 (2012)CrossRef
17.
Zurück zum Zitat Heider, F.: Attitudes and cognitive organization. J. Psychol. 21(1), 107–112 (1946)CrossRef Heider, F.: Attitudes and cognitive organization. J. Psychol. 21(1), 107–112 (1946)CrossRef
18.
Zurück zum Zitat Iacono, G., Ramezani, F., Soranzo, N., Altafini, C.: Determining the distance to monotonicity of a biological network: a graph-theoretical approach. IET Syst. Biol. 4(3), 223–235 (2010)CrossRef Iacono, G., Ramezani, F., Soranzo, N., Altafini, C.: Determining the distance to monotonicity of a biological network: a graph-theoretical approach. IET Syst. Biol. 4(3), 223–235 (2010)CrossRef
19.
Zurück zum Zitat Kułakowski, K., Gawroński, P., Gronek, P.: The heider balance: a continuous approach. Int. J. Mod. Phys. C 16(05), 707–716 (2005)CrossRefMATH Kułakowski, K., Gawroński, P., Gronek, P.: The heider balance: a continuous approach. Int. J. Mod. Phys. C 16(05), 707–716 (2005)CrossRefMATH
20.
Zurück zum Zitat Kunegis, J., Lommatzsch, A., Bauckhage, C.: The slashdot zoo: mining a social network with negative edges. In: Proceedings of the 18th International Conference on World Wide Web, pp. 741–750 (2009) Kunegis, J., Lommatzsch, A., Bauckhage, C.: The slashdot zoo: mining a social network with negative edges. In: Proceedings of the 18th International Conference on World Wide Web, pp. 741–750 (2009)
21.
Zurück zum Zitat Leskovec, J., Huttenlocher, D., Kleinberg, J.: Signed networks in social media. In: Proceedings of the SIGCHI Conference on Human Factors in Computing Systems, pp. 1361–1370 (2010) Leskovec, J., Huttenlocher, D., Kleinberg, J.: Signed networks in social media. In: Proceedings of the SIGCHI Conference on Human Factors in Computing Systems, pp. 1361–1370 (2010)
22.
Zurück zum Zitat Ma, L., Gong, M., Du, H., Shen, B., Jiao, L.: A memetic algorithm for computing and transforming structural balance in signed networks. Knowl.-Based Syst. 85, 196–209 (2015)CrossRef Ma, L., Gong, M., Du, H., Shen, B., Jiao, L.: A memetic algorithm for computing and transforming structural balance in signed networks. Knowl.-Based Syst. 85, 196–209 (2015)CrossRef
23.
Zurück zum Zitat Ma, L., Gong, M., Liu, J., Cai, Q., Jiao, L.: Multi-level learning based memetic algorithm for community detection. Appl. Soft Comput. 19, 121–133 (2014)CrossRef Ma, L., Gong, M., Liu, J., Cai, Q., Jiao, L.: Multi-level learning based memetic algorithm for community detection. Appl. Soft Comput. 19, 121–133 (2014)CrossRef
24.
Zurück zum Zitat Marvel, S.A., Kleinberg, J., Kleinberg, R.D., Strogatz, S.H.: Continuous-time model of structural balance. Proc. Nat. Acad. Sci. 108(5), 1771–1776 (2011)CrossRef Marvel, S.A., Kleinberg, J., Kleinberg, R.D., Strogatz, S.H.: Continuous-time model of structural balance. Proc. Nat. Acad. Sci. 108(5), 1771–1776 (2011)CrossRef
25.
Zurück zum Zitat Marvel, S.A., Strogatz, S.H., Kleinberg, J.M.: Energy landscape of social balance. Phys. Rev. Lett. 103(19), 198,701 (2009) Marvel, S.A., Strogatz, S.H., Kleinberg, J.M.: Energy landscape of social balance. Phys. Rev. Lett. 103(19), 198,701 (2009)
26.
Zurück zum Zitat Moscato, P., et al.: On evolution, search, optimization, genetic algorithms and martial arts: Towards memetic algorithms. Caltech concurrent computation program, C3P Report 826 (1989) Moscato, P., et al.: On evolution, search, optimization, genetic algorithms and martial arts: Towards memetic algorithms. Caltech concurrent computation program, C3P Report 826 (1989)
27.
Zurück zum Zitat Newman, M.E.: Modularity and community structure in networks. Proc. Nat. Acad. Sci. 103(23), 8577–8582 (2006)CrossRef Newman, M.E.: Modularity and community structure in networks. Proc. Nat. Acad. Sci. 103(23), 8577–8582 (2006)CrossRef
28.
Zurück zum Zitat Newman, M.E.J., Girvan, M.: Finding and evaluating community structure in networks. Phys. Rev. E 69(2), 026,113 (2004) Newman, M.E.J., Girvan, M.: Finding and evaluating community structure in networks. Phys. Rev. E 69(2), 026,113 (2004)
29.
Zurück zum Zitat Rosvall, M., Bergstrom, C.T.: Maps of random walks on complex networks reveal community structure. Proc. Nat. Acad. Sci. 105(4), 1118–1123 (2008)CrossRef Rosvall, M., Bergstrom, C.T.: Maps of random walks on complex networks reveal community structure. Proc. Nat. Acad. Sci. 105(4), 1118–1123 (2008)CrossRef
30.
Zurück zum Zitat Sun, Y., Du, H., Gong, M., Ma, L., Wang, S.: Fast computing global structural balance in signed networks based on memetic algorithm. Phys. A: Stat. Mech. Appl. 415, 261–272 (2014)MathSciNetCrossRef Sun, Y., Du, H., Gong, M., Ma, L., Wang, S.: Fast computing global structural balance in signed networks based on memetic algorithm. Phys. A: Stat. Mech. Appl. 415, 261–272 (2014)MathSciNetCrossRef
31.
Zurück zum Zitat Szell, M., Lambiotte, R., Thurner, S.: Multirelational organization of large-scale social networks in an online world. Proc. Nat. Acad. Sci. 107(31), 13636–13641 (2010)CrossRef Szell, M., Lambiotte, R., Thurner, S.: Multirelational organization of large-scale social networks in an online world. Proc. Nat. Acad. Sci. 107(31), 13636–13641 (2010)CrossRef
32.
Zurück zum Zitat Traag, V.A., Van Dooren, P., De Leenheer, P.: Dynamical models explaining social balance and evolution of cooperation. PloS one 8(4), e60,063 (2013) Traag, V.A., Van Dooren, P., De Leenheer, P.: Dynamical models explaining social balance and evolution of cooperation. PloS one 8(4), e60,063 (2013)
33.
Zurück zum Zitat Wang, S., Gong, M., Du, H., Ma, L., Miao, Q., Du, W.: Optimizing dynamical changes of structural balance in signed network based on memetic algorithm. Soc. Netw. 44, 64–73 (2016)CrossRef Wang, S., Gong, M., Du, H., Ma, L., Miao, Q., Du, W.: Optimizing dynamical changes of structural balance in signed network based on memetic algorithm. Soc. Netw. 44, 64–73 (2016)CrossRef
34.
Zurück zum Zitat Yang, B., Cheung, W.K., Liu, J.: Community mining from signed social networks. IEEE Trans. Knowl. Data Eng. 19(10), 1333–1348 (2007)CrossRef Yang, B., Cheung, W.K., Liu, J.: Community mining from signed social networks. IEEE Trans. Knowl. Data Eng. 19(10), 1333–1348 (2007)CrossRef
35.
Zurück zum Zitat Zhang, Q., Li, H.: MOEA/D: A multiobjective evolutionary algorithm based on decomposition. IEEE Trans. Evol. Comput. 11(6), 712–731 (2007)CrossRef Zhang, Q., Li, H.: MOEA/D: A multiobjective evolutionary algorithm based on decomposition. IEEE Trans. Evol. Comput. 11(6), 712–731 (2007)CrossRef
36.
Zurück zum Zitat Zhang, Q., Liu, W., Li, H.: The performance of a new version of MOEA/D on CEC09 unconstrained MOP test instances. In: Proceedings of IEEE Congress Evolutionary Computing, pp. 203–208 (2009) Zhang, Q., Liu, W., Li, H.: The performance of a new version of MOEA/D on CEC09 unconstrained MOP test instances. In: Proceedings of IEEE Congress Evolutionary Computing, pp. 203–208 (2009)
37.
Zurück zum Zitat Zitzler, E., Thiele, L.: Multiobjective optimization using evolutionary algorithms—a comparative case study. In: Parallel Problem Solving from Nature, pp. 292–301. Springer (1998) Zitzler, E., Thiele, L.: Multiobjective optimization using evolutionary algorithms—a comparative case study. In: Parallel Problem Solving from Nature, pp. 292–301. Springer (1998)
Metadaten
Titel
Network Structure Balance Analytics with Evolutionary Optimization
verfasst von
Maoguo Gong
Qing Cai
Lijia Ma
Shanfeng Wang
Yu Lei
Copyright-Jahr
2017
Verlag
Springer Singapore
DOI
https://doi.org/10.1007/978-981-10-4558-5_4

Premium Partner