메뉴 건너뛰기




Volumn 127, Issue 1, 2011, Pages 203-244

Statistical ranking and combinatorial Hodge theory

Author keywords

Borda count; Combinatorial Hodge theory; Combinatorial Laplacian; Discrete exterior calculus; Graph Helmholtzian; Hodge Laplacian; HodgeRank; Kemeny optimization; Rank aggregation; Statistical ranking

Indexed keywords

BORDA COUNT; COMBINATORIAL HODGE THEORY; COMBINATORIAL LAPLACIAN; DISCRETE EXTERIOR CALCULUS; GRAPH HELMHOLTZIAN; HODGERANK; KEMENY OPTIMIZATION; LAPLACIANS; RANK AGGREGATION; STATISTICAL RANKING;

EID: 79952775325     PISSN: 00255610     EISSN: 14364646     Source Type: Journal    
DOI: 10.1007/s10107-010-0419-x     Document Type: Article
Times cited : (350)

References (45)
  • 1
    • 34848818026 scopus 로고    scopus 로고
    • Aggregating inconsistent information: Ranking and clustering
    • DOI 10.1145/1060590.1060692, STOC'05: Proceedings of the 37th Annual ACM Symposium on Theory of Computing
    • Ailon, N., Charikar, M., Newman, A.: Aggregating inconsistent information: ranking and clustering. In: Proceeding ACM Symposium Theory Computing (STOC '605), vol. 37, pp. 684-693 (2005) (Pubitemid 43098641)
    • (2005) Proceedings of the Annual ACM Symposium on Theory of Computing , pp. 684-693
    • Ailon, N.1    Charikar, M.2    Newman, A.3
  • 2
    • 0000871962 scopus 로고
    • A difficulty in the concept of social welfare
    • 10.1086/256963
    • K.J. Arrow 1950 A difficulty in the concept of social welfare J. Polit. Econ. 58 4 328 346 10.1086/256963
    • (1950) J. Polit. Econ. , vol.58 , Issue.4 , pp. 328-346
    • Arrow, K.J.1
  • 3
    • 77950203561 scopus 로고
    • General economic equilibrium: Purpose, analytic techniques, collective choice. Nobel Memorial Lecture, 12 December 1972
    • A. Lindbeck (eds). World Scientific Singapore
    • Arrow K.J.: General economic equilibrium: purpose, analytic techniques, collective choice. Nobel Memorial Lecture, 12 December 1972. In: Lindbeck, A. (ed.) Nobel Lectures: Economic Sciences 1969-1980, pp. 109-131. World Scientific, Singapore (1992)
    • (1992) Nobel Lectures: Economic Sciences 1969-1980 , pp. 109-131
    • Arrow, K.J.1
  • 4
    • 0040884261 scopus 로고    scopus 로고
    • Can investors profit from the prophets? Security analyst recommendations and stock returns
    • B.M. Barber R. Lehavy M. McNichols B. Trueman 2001 Can investors profit from the prophets? Security analyst recommendations and stock returns J. Finance 56 2 531 563 10.1111/0022-1082.00336 (Pubitemid 33592072)
    • (2001) Journal of Finance , vol.56 , Issue.2 , pp. 531-563
    • Barber, B.1    Lehavy, R.2    McNichols, M.3    Trueman, B.4
  • 7
    • 0001667583 scopus 로고
    • The rank analysis of incomplete block designs: I. The method of paired comparisons
    • 0047.12903 70925
    • R. Bradley M. Terry 1952 The rank analysis of incomplete block designs: I. The method of paired comparisons Biometrika 39 324 345 0047.12903 70925
    • (1952) Biometrika , vol.39 , pp. 324-345
    • Bradley, R.1    Terry, M.2
  • 8
    • 0038589165 scopus 로고    scopus 로고
    • The anatomy of a large-scale hypertextual web search engine
    • 10.1016/S0169-7552(98)00110-X
    • S. Brin L. Page 1998 The anatomy of a large-scale hypertextual web search engine Comput. Networks ISDN Syst. 30 1-7 107 117 10.1016/S0169-7552(98)00110-X
    • (1998) Comput. Networks ISDN Syst. , vol.30 , Issue.17 , pp. 107-117
    • Brin, S.1    Page, L.2
  • 10
    • 79952755391 scopus 로고    scopus 로고
    • Minres -qlp: A Krylov subspace method for indefinite or singular symmetric systems
    • Choi, S.-C., Paige, C.C., Saunders, M.A.: minres -qlp: a Krylov subspace method for indefinite or singular symmetric systems, preprint. http://www.arxiv.org/abs/1003.4042 (2010)
    • (2010) Preprint
    • Choi, S.-C.1    Paige, C.C.2    Saunders, M.A.3
  • 16
    • 0000813623 scopus 로고
    • A generalization of spectral analysis with application to ranked data
    • 0688.62005 10.1214/aos/1176347251 1015133
    • P. Diaconis 1989 A generalization of spectral analysis with application to ranked data Ann. Statist. 17 3 949 979 0688.62005 10.1214/aos/1176347251 1015133
    • (1989) Ann. Statist. , vol.17 , Issue.3 , pp. 949-979
    • Diaconis, P.1
  • 18
    • 4644367942 scopus 로고    scopus 로고
    • An efficient boosting algorithm for combining preferences
    • 1098.68652 10.1162/1532443041827916 2125342
    • Y. Freund R. Iyer R. Shapire Y. Singer 2004 An efficient boosting algorithm for combining preferences J. Mach. Learn. Res. 4 6 933 969 1098.68652 10.1162/1532443041827916 2125342
    • (2004) J. Mach. Learn. Res. , vol.4 , Issue.6 , pp. 933-969
    • Freund, Y.1    Iyer, R.2    Shapire, R.3    Singer, Y.4
  • 19
    • 0346098118 scopus 로고    scopus 로고
    • Computing betti numbers via combinatorial laplacians
    • J. Friedman 1998 Computing Betti numbers via combinatorial Laplacians Algorithmica 21 4 331 346 0911.57021 10.1007/PL00009218 1622290 (Pubitemid 128664711)
    • (1998) Algorithmica (New York) , vol.21 , Issue.4 , pp. 331-346
    • Friedman, J.1
  • 20
    • 0032355984 scopus 로고    scopus 로고
    • Classification by pairwise coupling
    • 0932.62071 10.1214/aos/1028144844 1626055
    • T. Hastie R. Tibshirani 1998 Classification by pairwise coupling Ann. Statis. 26 2 451 471 0932.62071 10.1214/aos/1028144844 1626055
    • (1998) Ann. Statis. , vol.26 , Issue.2 , pp. 451-471
    • Hastie, T.1    Tibshirani, R.2
  • 21
    • 0008371352 scopus 로고    scopus 로고
    • Large margin rank boundaries for ordinal regression
    • MIT Press, Cambridge, MA
    • Herbrich, R., Graepel, T., Obermayer, K.: Large margin rank boundaries for ordinal regression. In: Advances in Large Margin Classifiers, pp. 115-132. MIT Press, Cambridge, MA (2000)
    • (2000) Advances in Large Margin Classifiers , pp. 115-132
    • Herbrich, R.1    Graepel, T.2    Obermayer, K.3
  • 22
    • 79952754142 scopus 로고    scopus 로고
    • The separation, and separation-deviation methodology for group decision making and aggregate ranking
    • J.J. Hasenbein (eds). INFORMS Hanover, MD
    • Hochbaum D.: The separation, and separation-deviation methodology for group decision making and aggregate ranking. In: Hasenbein, J.J. (ed.) Tutorials in Operations Research. vol. 7, pp. 116-141. INFORMS, Hanover, MD (2010)
    • (2010) Tutorials in Operations Research , vol.7 , pp. 116-141
    • Hochbaum, D.1
  • 23
    • 38149113816 scopus 로고    scopus 로고
    • Methodologies and algorithms for group-rankings decision
    • 10.1287/mnsc.1060.0540
    • D. Hochbaum A. Levin 2006 Methodologies and algorithms for group-rankings decision Manag. Sci. 52 9 1394 1408 10.1287/mnsc.1060.0540
    • (2006) Manag. Sci. , vol.52 , Issue.9 , pp. 1394-1408
    • Hochbaum, D.1    Levin, A.2
  • 25
    • 0001450923 scopus 로고
    • Mathematics without numbers
    • J.G. Kemeny 1959 Mathematics without numbers Daedalus 88 571 591
    • (1959) Daedalus , vol.88 , pp. 571-591
    • Kemeny, J.G.1
  • 26
    • 0004885468 scopus 로고
    • Preference ranking: An axiomatic approach
    • J.G. Kemeny L.J. Snell (eds). MIT Press Cambridge
    • Kemeny J.G., Snell L.J.: Preference ranking: an axiomatic approach. In: Kemeny, J.G., Snell, L.J. (eds) Mathematical Models in the Social Sciences, pp. 9-23. MIT Press, Cambridge (1973)
    • (1973) Mathematical Models in the Social Sciences , pp. 9-23
    • Kemeny, J.G.1    Snell, L.J.2
  • 28
    • 0000889043 scopus 로고
    • On the method of paired comparisons
    • 0023.14803 2761
    • M.G. Kendall B.B. Smith 1940 On the method of paired comparisons Biometrika 31 3-4 324 345 0023.14803 2761
    • (1940) Biometrika , vol.31 , Issue.34 , pp. 324-345
    • Kendall, M.G.1    Smith, B.B.2
  • 29
    • 4243148480 scopus 로고    scopus 로고
    • Authoritative sources in a hyperlinked environment
    • 1065.68660 10.1145/324133.324140 1747649
    • J. Kleinberg 1999 Authoritative sources in a hyperlinked environment J. ACM 46 5 604 632 1065.68660 10.1145/324133.324140 1747649
    • (1999) J. ACM , vol.46 , Issue.5 , pp. 604-632
    • Kleinberg, J.1
  • 30
    • 79952771765 scopus 로고    scopus 로고
    • A matrix approach to asset pricing in foreign exchange market
    • Ma, M.: A matrix approach to asset pricing in foreign exchange market. preprint. http://www.ssrn.com/abstract=921755 (2008)
    • (2008) Preprint
    • Ma, M.1
  • 31
    • 39749093168 scopus 로고
    • The magical number seven, plus or minus two some limits on our capacity for processing information
    • 10.1037/h0043158
    • G.A. Miller 1956 The magical number seven, plus or minus two some limits on our capacity for processing information Psychol. Rev. 63 2 81 97 10.1037/h0043158
    • (1956) Psychol. Rev. , vol.63 , Issue.2 , pp. 81-97
    • Miller, G.A.1
  • 32
  • 33
    • 0000759450 scopus 로고
    • Remarks on the method of paired comparisons I, II, III
    • no. 2, pp. 203-218
    • Mosteller, F.: Remarks on the method of paired comparisons I, II, III. Psychometrika 16(1), pp. 3-9, no. 2, pp. 203-218 (1951)
    • (1951) Psychometrika , vol.16 , Issue.1 , pp. 3-9
    • Mosteller, F.1
  • 34
    • 0039252157 scopus 로고
    • Remarks about a paired comparison model
    • 0201.52101 10.1007/BF02289753 135644
    • G.E. Noether 1960 Remarks about a paired comparison model Psychometrika 25 357 367 0201.52101 10.1007/BF02289753 135644
    • (1960) Psychometrika , vol.25 , pp. 357-367
    • Noether, G.E.1
  • 35
    • 0039943513 scopus 로고
    • Lsqr: An algorithm for sparse linear equations and sparse least squares
    • 0478.65016 10.1145/355984.355989 661121
    • C.C. Paige M.A. Saunders 1982 lsqr: an algorithm for sparse linear equations and sparse least squares ACM Trans. Math. Software 8 1 43 71 0478.65016 10.1145/355984.355989 661121
    • (1982) ACM Trans. Math. Software , vol.8 , Issue.1 , pp. 43-71
    • Paige, C.C.1    Saunders, M.A.2
  • 36
    • 0034381424 scopus 로고    scopus 로고
    • A geometric examination of Kemeny's rule
    • 1069.91538 10.1007/s003550050171 1762588
    • D.G. Saari V.R. Merlin 2000 A geometric examination of Kemeny's rule Soc. Choice Welf. 17 3 403 438 1069.91538 10.1007/s003550050171 1762588
    • (2000) Soc. Choice Welf. , vol.17 , Issue.3 , pp. 403-438
    • Saari, D.G.1    Merlin, V.R.2
  • 37
    • 49449122896 scopus 로고
    • A scaling method for priorities in hierarchical structures
    • 0372.62084 10.1016/0022-2496(77)90033-5 682619
    • T.L. Saaty 1977 A scaling method for priorities in hierarchical structures J. Math. Psych. 15 3 234 281 0372.62084 10.1016/0022-2496(77)90033-5 682619
    • (1977) J. Math. Psych. , vol.15 , Issue.3 , pp. 234-281
    • Saaty, T.L.1
  • 38
    • 0001138010 scopus 로고
    • The impossibility of a paretian liberal
    • 10.1086/259614
    • A.K. Sen 1970 The impossibility of a paretian liberal J. Polit. Econ. 78 1 152 157 10.1086/259614
    • (1970) J. Polit. Econ. , vol.78 , Issue.1 , pp. 152-157
    • Sen, A.K.1
  • 39
    • 36348945528 scopus 로고    scopus 로고
    • The possibility of social choice, Nobel Lecture, 8 Dec 1998
    • T. Persson (eds). World Scientific Singapore
    • Sen A.K.: The possibility of social choice, Nobel Lecture, 8 Dec 1998. In: Persson, T. (ed.) Nobel Lectures: Economic Sciences 1996-2000, pp. 178-215. World Scientific, Singapore (2003)
    • (2003) Nobel Lectures: Economic Sciences 1996-2000 , pp. 178-215
    • Sen, A.K.1
  • 40
    • 51849103844 scopus 로고    scopus 로고
    • Distributed coverage verification in sensor networks without location information
    • to appear
    • Tahbaz-Salehi, A., Jadbabaie, A.: Distributed coverage verification in sensor networks without location information. In: Proceeding IEEE Conference Decision Control, vol. 47. (2008), to appear
    • (2008) Proceeding IEEE Conference Decision Control , vol.47
    • Tahbaz-Salehi, A.1    Jadbabaie, A.2
  • 41
    • 0000907342 scopus 로고
    • The method of paired comparisons for social values
    • 10.1037/h0065439
    • L.L. Thurstone 1927 The method of paired comparisons for social values J. Abnorm. Soc. Psychol. 21 384 400 10.1037/h0065439
    • (1927) J. Abnorm. Soc. Psychol. , vol.21 , pp. 384-400
    • Thurstone, L.L.1
  • 42
    • 79952749395 scopus 로고    scopus 로고
    • Empirical stationary correlations for semi-supervised learning on graphs
    • Xu, Y., Dyer, J.S., Owen, A.B.: Empirical stationary correlations for semi-supervised learning on graphs. preprint (2009)
    • (2009) Preprint
    • Xu, Y.1    Dyer, J.S.2    Owen, A.B.3
  • 43
    • 84971814894 scopus 로고
    • Condorcet's theory of voting
    • 10.2307/1961757
    • H.P. Young 1988 Condorcet's theory of voting Am. Polit. Sci. Rev. 82 1231 1244 10.2307/1961757
    • (1988) Am. Polit. Sci. Rev. , vol.82 , pp. 1231-1244
    • Young, H.P.1
  • 44
    • 0000381950 scopus 로고
    • A consistent extension of Condorcet's election principle
    • 0385.90010 10.1137/0135023 504073
    • H.P. Young A. Levenglick 1978 A consistent extension of Condorcet's election principle SIAM J. Appl. Math. 35 2 285 300 0385.90010 10.1137/0135023 504073
    • (1978) SIAM J. Appl. Math. , vol.35 , Issue.2 , pp. 285-300
    • Young, H.P.1    Levenglick, A.2
  • 45
    • 2442616180 scopus 로고    scopus 로고
    • Binary choice, subset choice, random utility, and ranking: A unified perspective using the permutahedron
    • DOI 10.1016/j.jmp.2003.12.002
    • J. Zhang 2004 Binary choice, subset choice, random utility, and ranking: a unified perspective using the permutahedron J. Math. Psych. 48 2 107 134 1097.91509 10.1016/j.jmp.2003.12.002 2055886 (Pubitemid 38651602)
    • (2004) Journal of Mathematical Psychology , vol.48 , Issue.2 , pp. 107-134
    • Zhang, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.