Rank Centrality: Ranking from Pairwise Comparisons
Published Online:18 Oct 2016https://doi.org/10.1287/opre.2016.1534
References
- (1994) Selection in the presence of noise: The design of playoff systems. Proc. 5th Annual ACM-SIAM Sympos. Discrete Algorithms, SODA ’94 (SIAM, Philadelphia), 564–572.Google Scholar
- (2010) Aggregation of partial rankings, p-ratings and top-m lists. Algorithmica 57(2):284–300.Crossref, Google Scholar
- (2008) Aggregating inconsistent information: Ranking and clustering. J. ACM (JACM) 55(5):23.Crossref, Google Scholar
- (2005) Ranking systems: The pagerank axioms. Riedl J, Kearns MJ, Reiter MK, eds. Proc. 6th ACM Conf. Electronic Commerce, EC ’05 (ACM, New York), 1–8.Crossref, Google Scholar
- (2011) Ranking: Compare, don’t score. 49th Annual Allerton Conf. Comm., Control, and Comput., Allerton ’11 (IEEE, Piscataway, NJ), 776–783.Crossref, Google Scholar
- (1963) Social Choice and Individual Values (Yale University Press, New Haven, CT).Google Scholar
- (2005) Mixing times for random walks on geometric random graphs. Demetrescu C, Sedgewick R, Tamassia R, eds. Proc. Second Workshop Analytic Algorithms Combinatorics, ANALCO ’05 (SIAM, Philadelphia), 240–249.Google Scholar
- (1955) Rank analysis of incomplete block designs: I. The method of paired comparisons. Biometrika 39(3/4):324–345.Crossref, Google Scholar
- (2008) Noisy sorting without resampling. Teng S-H, ed. Proc. 19th Annual ACM-SIAM Sympos. Discrete Algorithms, SODA ’08 (SIAM, Philadelphia), 268–276.Google Scholar
- (1998) The anatomy of a large-scale hypertextual web search engine. Seventh Internat. World-Wide Web Conf., WWW7 (Elsevier, Amsterdam), 107–117.Crossref, Google Scholar
- (2009) Exact matrix completion via convex optimization. Foundations of Computational Math. 9(6):717–772.Crossref, Google Scholar
- (1785) Essai sur l’application de l’analyse à la probabilité des décisions rendues à la pluralité des voix (l’Imprimerie Royale, Paris).Google Scholar
- (1963) The Method of Paired Comparisons (Charles Griffin and Company, London).Google Scholar
- (1781) Mémoire sur les élections au scrutin. Mémoires de l’Académie royale des sciences, 657–664.Google Scholar
- (1993) Comparison theorems for reversible Markov chains. Ann. Appl. Probab. 3(3):696–730.Crossref, Google Scholar
- (2010) On the consistency of ranking algorithms. Fürnkranz J, Joachims T, eds. Proc. 27th Internat. Conf. Machine Learning, ICML ’10 (Omnipress, Madison, WI), 327–334.Google Scholar
- (2001) Rank aggregation methods for the web. Shen VY, Saito N, Lyu MR, Zurko ME, eds. Proc. 10th Internat. World Wide Web Conf., WWW ’10 (ACM, New York), 613–622.Crossref, Google Scholar
- (2001b) Rank aggregation methods for the web. Proc. 10th Internat. World Wide Web Conf. (ACM, New York), 613–622.Crossref, Google Scholar
- (2012) Novel distance measures for vote aggregation. Preprint, arXiv:1203.6371.Google Scholar
- (1957) Solution of a ranking problem from binary comparisons. Amer. Math. Monthly 64(8):28–33.Crossref, Google Scholar
- (2011) Rank aggregation via nuclear norm minimization. Apté C, Ghosh J, Smyth P, eds. Proc. 17th ACM SIGKDD Internat. Conf. Knowledge Discovery and Data Mining (ACM, New York), 60–68.Crossref, Google Scholar
- (2009) Bayesian inference for Plackett-Luce ranking models. Pohoreckyj Danyluk A, Bottou L, Littman ML, eds. Proc. 26th Annual Internat. Conf. Machine Learn., ICML ’09 (ACM, New York), 377–384. [Available at http://sites.stat.psu.edu/∼dhunter/code/btmatlab/.] Crossref, Google Scholar
- (2014) Minimax-optimal inference from partial rankings. Ghahramani Z, Welling M, Cortes C, Lawrence ND, Weinberger KQ, eds. Adv. Neural Inform. Processing Systems (NIPS), 1475–1483.Google Scholar
- (2006) Ranking sports teams and the inverse equal paths problem. Spirakis P, Mavronicolas M, Kontogiannis S, eds. Internet and Network Economics (Springer, Berlin), 307–318.Crossref, Google Scholar
- (1985) Matrix Analysis (Cambridge University Press, Cambridge, UK).Crossref, Google Scholar
- (2004) MM algorithms for generalized Bradley-Terry models. Ann. Statist. 32(1):384–406.Crossref, Google Scholar
- (2011) Statistical ranking and combinatorial Hodge theory. Math. Programming 127(1):203–244.Crossref, Google Scholar
- (2003) The eigentrust algorithm for reputation management in P2P networks. Hencsey G, White B, Chen Y-F, Kovács L, Lawrence S, eds. Proc. 12th Internat. Conf. World Wide Web, WWW ’03 (ACM, New York), 640–651.Crossref, Google Scholar
- (1993) The Perron-Frobenius theorem and the ranking of football teams. SIAM Rev. 35(1):80–93.Crossref, Google Scholar
- (1955) Further contributions to the theory of paired comparisons. Biometrics 11(1):43–62.Crossref, Google Scholar
- (1940) On the method of paired comparisons. Biometrika 31(3):324–345.Crossref, Google Scholar
- (2010) Matrix completion from noisy entries. J. Machine Learn. Res. 11(1):2057–2078.Google Scholar
- (2011) Learning Mallows models with pairwise preferences. Proc. 28th Internat. Conf. Machine Learn. ICML ’11 (Omnipress, Madison, WI), 145–152.Google Scholar
- (1959) Individual Choice Behavior (John Wiley & Sons, New York).Google Scholar
- (1957) Non-null ranking models. I. Biometrika 44(1): 114–130.Crossref, Google Scholar
- (1973) Conditional logit analysis of qualitative choice behavior. Frontiers Econometrics 1(1):105–142.Google Scholar
- (1951) Remarks on the method of paired comparisons: I. The least squares solution assuming equal standard deviations and equal correlations. Psychometrika 16(1):3–9.Crossref, Google Scholar
- (2012) Restricted strong convexity and (weighted) matrix completion: Optimal bounds with noise. J. Machine Learn. Res. 13(1):1665–1697.Google Scholar
- (2010) Networks: An Introduction (Oxford University Press, Oxford, UK).Crossref, Google Scholar
- (2013) Enhanced statistical rankings via targeted data collection. Proc. 30th Internat. Conf. Machine Learn., ICML ’13 (JMLR.org), 489–497.Google Scholar
- (1975) The analysis of permutations. Appl. Statist. 24(2): 193–202.Crossref, Google Scholar
- (2014) A statistical convergence perspective of algorithms for rank aggregation from pairwise data. Proc. 31st Internat. Conf. Machine Learn., ICML ’14 (JMLR.org), 118–126.Google Scholar
- (1945) Information and accuracy attainable in the estimation of statistical parameters. Bull. Calcutta Math. Soc. 37(3):81–91.Google Scholar
- (2003) Decision making with the AHP: Why is the principal eigenvector necessary. Eur. J. Oper. Res. 145(1):85–91.Crossref, Google Scholar
- (2012) Wiki surveys: Open and quantifiable social data collection. Preprint, arXiv:1202.0500.Google Scholar
- (1949) The net of reciprocal influence. Canadian J. Psych. 3(4):234–240.Crossref, Google Scholar
- (2011) Rumors in a network: Who’s the culprit? IEEE Trans. Inform. Theory 57(8):5163–5181.Crossref, Google Scholar
- (2016) Finding rumor sources on random trees. Oper. Res. 64(3):736–755.Link, Google Scholar
- (2005) The Theory and Practice of Revenue Management (Springer, New York).Crossref, Google Scholar
- (2012) User-friendly tail bounds for sums of random matrices. Foundations of Computational Math. 12(4):389–434.Crossref, Google Scholar
- (2009) Spectral ranking. Preprint, arXiv: 0912.0238.Google Scholar
- (2012) A flexible generative model for preference aggregation. Mille A, Gandon FL, Misselis J, Rabinovich M, Staab S, eds. Proc. 21st Internat. Conf. World Wide Web, WWW ’12 (ACM, New York), 479–488.Crossref, Google Scholar
- (1952) The algebraic foundations of ranking theory. Ph.D. thesis, University of Cambridge, Cambridge, UK.Google Scholar

