메뉴 건너뛰기




Volumn 84, Issue 6, 2011, Pages

Asymptotic analysis of the stochastic block model for modular networks and its algorithmic applications

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMIC APPLICATIONS; BELIEF PROPAGATION ALGORITHM; BIOLOGICAL NETWORKS; BLOCK MODELS; CAVITY METHOD; COMMUNITY DETECTION; EXACT ANALYSIS; GENERATIVE MODEL; GROUP MEMBERSHIPS; MODULAR NETWORK; REAL-WORLD NETWORKS; STATISTICAL PHYSICS;

EID: 84555195640     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.84.066106     Document Type: Article
Times cited : (823)

References (49)
  • 1
    • 74049087026 scopus 로고    scopus 로고
    • PRPLCM 0370-1573 10.1016/j.physrep.2009.11.002
    • S. Fortunato, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2009.11.002 486, 75 (2010).
    • (2010) Phys. Rep. , vol.486 , pp. 75
    • Fortunato, S.1
  • 6
    • 43049151837 scopus 로고    scopus 로고
    • Hierarchical structure and the prediction of missing links in networks
    • DOI 10.1038/nature06830, PII NATURE06830
    • A. Clauset, C. Moore, and M. Newman, Nature (London) NATUAS 0028-0836 10.1038/nature06830 453, 98 (2008). (Pubitemid 351630323)
    • (2008) Nature , vol.453 , Issue.7191 , pp. 98-101
    • Clauset, A.1    Moore, C.2    Newman, M.E.J.3
  • 8
    • 79951710564 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.83.016107
    • B. Karrer and M. E. J. Newman, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.83.016107 83, 016107 (2011).
    • (2011) Phys. Rev. e , vol.83 , pp. 016107
    • Karrer, B.1    Newman, M.E.J.2
  • 9
    • 37649028224 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.69.026113
    • M. E. J. Newman and M. Girvan, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.69.026113 69, 026113 (2004).
    • (2004) Phys. Rev. e , vol.69 , pp. 026113
    • Newman, M.E.J.1    Girvan, M.2
  • 10
    • 0002706976 scopus 로고
    • JOALDV 0196-6774 10.1016/0196-6774(89)90001-1
    • M. E. Dyer and A. M. Frieze, J. Algorithm JOALDV 0196-6774 10.1016/0196-6774(89)90001-1 10, 451 (1989).
    • (1989) J. Algorithm , vol.10 , pp. 451
    • Dyer, M.E.1    Frieze, A.M.2
  • 11
    • 0035580899 scopus 로고    scopus 로고
    • JOALDV 1042-9832 10.1002/1098-2418(200103)18:2<116::AID-RSA1001>3. 0.CO;2-2
    • A. Condon and R. M. Karp, Random Struct. Algor. JOALDV 1042-9832 10.1002/1098-2418(200103)18:2<116::AID-RSA1001>3.0.CO;2-2 18, 116 (2001).
    • (2001) Random Struct. Algor. , vol.18 , pp. 116
    • Condon, A.1    Karp, R.M.2
  • 13
    • 66749176722 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.102.238701
    • F. Krzakala and L. Zdeborová, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.238701 102, 238701 (2009).
    • (2009) Phys. Rev. Lett. , vol.102 , pp. 238701
    • Krzakala, F.1    Zdeborová, L.2
  • 14
    • 75849140057 scopus 로고    scopus 로고
    • PNASA6 0027-8424 10.1073/pnas.0907096106
    • P. J. Bickel and A. Chen, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0907096106 106, 21068 (2009).
    • (2009) Proc. Natl. Acad. Sci. USA , vol.106 , pp. 21068
    • Bickel, P.J.1    Chen, A.2
  • 15
    • 0033612060 scopus 로고    scopus 로고
    • JPHAC5 0305-4470 10.1088/0305-4470/32/21/302
    • Y. Iba, J. Phys. A: Math. Gen. JPHAC5 0305-4470 10.1088/0305-4470/32/21/ 302 32, 3875 (1999).
    • (1999) J. Phys. A: Math. Gen. , vol.32 , pp. 3875
    • Iba, Y.1
  • 17
    • 77951138987 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.81.046106
    • B. H. Good, Y.-A. de Montjoye, and A. Clauset, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.81.046106 81, 046106 (2010).
    • (2010) Phys. Rev. e , vol.81 , pp. 046106
    • Good, B.H.1    De Montjoye, Y.-A.2    Clauset, A.3
  • 19
    • 80053018115 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.84.036103
    • B. Ball, B. Karrer, and M. E. J. Newman, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.84.036103 84, 036103 (2011).
    • (2011) Phys. Rev. e , vol.84 , pp. 036103
    • Ball, B.1    Karrer, B.2    Newman, M.E.J.3
  • 21
    • 45749117949 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.100.258701
    • J. M. Hofman and C. H. Wiggins, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.258701 100, 258701 (2008).
    • (2008) Phys. Rev. Lett. , vol.100 , pp. 258701
    • Hofman, J.M.1    Wiggins, C.H.2
  • 24
    • 0038401954 scopus 로고    scopus 로고
    • 1434-6028 10.1007/PL00011099
    • M. Mézard and G. Parisi, Eur. Phys. J. B 1434-6028 10.1007/PL00011099 20, 217 (2001).
    • (2001) Eur. Phys. J. B , vol.20 , pp. 217
    • Mézard, M.1    Parisi, G.2
  • 25
    • 33750071082 scopus 로고    scopus 로고
    • Reconstruction on trees and spin glass transition
    • DOI 10.1007/s10955-006-9162-3
    • M. Mézard and A. Montanari, J. Stat. Phys. JSTPBS 0022-4715 10.1007/s10955-006-9162-3 124, 1317 (2006). (Pubitemid 44581231)
    • (2006) Journal of Statistical Physics , vol.124 , Issue.6 , pp. 1317-1350
    • Mezard, M.1    Montanari, A.2
  • 28
    • 33947442893 scopus 로고
    • CHREAY 0009-2665 10.1021/cr60135a002
    • W. Kauzmann, Chem. Rev. CHREAY 0009-2665 10.1021/cr60135a002 43, 219 (1948).
    • (1948) Chem. Rev. , vol.43 , pp. 219
    • Kauzmann, W.1
  • 29
    • 21344477135 scopus 로고
    • JUPSAU 0031-9015 10.1143/JPSJ.62.2973
    • H. Nishimori, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.62.2973 62, 2973 (1993).
    • (1993) J. Phys. Soc. Jpn. , vol.62 , pp. 2973
    • Nishimori, H.1
  • 30
    • 78651385069 scopus 로고
    • EULEEJ 0295-5075 10.1209/0295-5075/25/3/001
    • N. Sourlas, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/25/3/001 25, 159 (1994).
    • (1994) Europhys. Lett. , vol.25 , pp. 159
    • Sourlas, N.1
  • 32
    • 0037144561 scopus 로고    scopus 로고
    • Statistical-mechanical approach to image processing
    • DOI 10.1088/0305-4470/35/37/201, PII S0305447002331378
    • K. Tanaka, J. Phys. A: Math. Gen. JPHAC5 0305-4470 10.1088/0305-4470/35/ 37/201 35, R81 (2002). (Pubitemid 37049255)
    • (2002) Journal of Physics A: Mathematical and General , vol.35 , Issue.37
    • Tanaka, K.1
  • 34
    • 71849108522 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.80.056117
    • A. Lancichinetti and S. Fortunato, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.056117 80, 056117 (2009).
    • (2009) Phys. Rev. e , vol.80 , pp. 056117
    • Lancichinetti, A.1    Fortunato, S.2
  • 35
    • 77953776556 scopus 로고    scopus 로고
    • JPHAC5 1751-8113 10.1088/1751-8113/43/28/285003
    • P. Šulc and L. Zdeborová, J. Phys. A: Math. Theor. JPHAC5 1751-8113 10.1088/1751-8113/43/28/285003 43, 285003 (2010).
    • (2010) J. Phys. A: Math. Theor. , vol.43 , pp. 285003
    • Šulc, P.1    Zdeborová, L.2
  • 38
    • 46749088709 scopus 로고    scopus 로고
    • EULEEJ 1124-318X 10.1002/ett.1289
    • A. Montanari, Eur. Trans. Telecom. EULEEJ 1124-318X 10.1002/ett.1289 19, 385 (2008).
    • (2008) Eur. Trans. Telecom. , vol.19 , pp. 385
    • Montanari, A.1
  • 39
    • 36149043226 scopus 로고
    • JPHAC5 0305-4470 10.1088/0305-4470/11/5/028
    • J. R. L. de Almeida and D. J. Thouless, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/11/5/028 11, 983 (1978).
    • (1978) J. Phys. A , vol.11 , pp. 983
    • De Almeida, J.R.L.1    Thouless, D.J.2
  • 40
    • 0002610091 scopus 로고
    • AASTAD 0003-4851 10.1214/aoms/1177699139
    • H. Kesten and B. P. Stigum, Ann. Math. Stat. AASTAD 0003-4851 10.1214/aoms/1177699139 37, 1463 (1966).
    • (1966) Ann. Math. Stat. , vol.37 , pp. 1463
    • Kesten, H.1    Stigum, B.P.2
  • 41
    • 0001552596 scopus 로고
    • JMANAK 0022-247X 10.1016/0022-247X(67)90155-2
    • H. Kesten and B. P. Stigum, J. Math. Anal. Appl. JMANAK 0022-247X 10.1016/0022-247X(67)90155-2 17, 309 (1966).
    • (1966) J. Math. Anal. Appl. , vol.17 , pp. 309
    • Kesten, H.1    Stigum, B.P.2
  • 42
    • 4544264380 scopus 로고    scopus 로고
    • Robust reconstruction on trees is determined by the second eigenvalue
    • DOI 10.1214/009117904000000153
    • S. Janson and E. Mossel, Ann. Probab. APBYAE 0091-1798 10.1214/009117904000000153 32, 2630 (2004). (Pubitemid 39258783)
    • (2004) Annals of Probability , vol.32 , Issue.B3 , pp. 2630-2649
    • Janson, S.1    Mossel, E.2
  • 44
    • 77956322340 scopus 로고    scopus 로고
    • PLRBAQ 1098-0121 10.1103/PhysRevB.81.224205
    • L. Zdeborová and F. Krzakala, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.81.224205 81, 224205 (2010).
    • (2010) Phys. Rev. B , vol.81 , pp. 224205
    • Zdeborová, L.1    Krzakala, F.2
  • 46
    • 49749151329 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.101.078701
    • J. Reichardt and M. Leone, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.078701 101, 078701 (2008).
    • (2008) Phys. Rev. Lett. , vol.101 , pp. 078701
    • Reichardt, J.1    Leone, M.2
  • 47
    • 84555170462 scopus 로고    scopus 로고
    • D. Hu, P. Ronhovde, and Z. Nussinov, e-print arXiv: 1008.2699v3.
    • D. Hu, P. Ronhovde, and Z. Nussinov, e-print arXiv: 1008.2699v3.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.