A Generalized Bradley-Terry Model: From Group Competition to Individual Skill

Part of Advances in Neural Information Processing Systems 17 (NIPS 2004)

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Tzu-kuo Huang, Chih-jen Lin, Ruby Weng


The Bradley-Terry model for paired comparison has been popular in many areas. We propose a generalized version in which paired individual comparisons are extended to paired team comparisons. We introduce a simple algorithm with convergence proofs to solve the model and obtain individual skill. A useful application to multi-class probability estimates using error-correcting codes is demonstrated.