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題名 Generalized Bradley-Terry Models and Multi-Class Probability Estimates
作者 Weng, Ruby C.;Huang, Tzu-kuo;Lin, Chih-jen
翁久幸
貢獻者 統計系
關鍵詞 Bradley-Terry model; probability estimates; error correcting output codes; support vector machines
日期 2006
上傳時間 7-四月-2015 17:02:11 (UTC+8)
摘要 The Bradley-Terry model for obtaining individual skill from paired comparisons has been popular in many areas. In machine learning, this model is related to multi-class probability estimates by coupling all pairwise classification results. Error correcting output codes (ECOC) are a general framework to decompose a multi-class problem to several binary problems. To obtain probability estimates under this framework, this paper introduces a generalized Bradley-Terry model in which paired individual comparisons are extended to paired team comparisons. We propose a simple algorithm with convergence proofs to solve the model and obtain individual skill. Experiments on synthetic and real data demonstrate that the algorithm is useful for obtaining multi-class probability estimates. Moreover, we discuss four extensions of the proposed model: 1) weighted individual skill, 2) home-field advantage, 3) ties, and 4) comparisons with more than two teams.
關聯 Journal of Machine Learning Research - JMLR , vol. 7, pp. 85-115
資料類型 article
dc.contributor 統計系-
dc.creator (作者) Weng, Ruby C.;Huang, Tzu-kuo;Lin, Chih-jen-
dc.creator (作者) 翁久幸-
dc.date (日期) 2006-
dc.date.accessioned 7-四月-2015 17:02:11 (UTC+8)-
dc.date.available 7-四月-2015 17:02:11 (UTC+8)-
dc.date.issued (上傳時間) 7-四月-2015 17:02:11 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/74371-
dc.description.abstract (摘要) The Bradley-Terry model for obtaining individual skill from paired comparisons has been popular in many areas. In machine learning, this model is related to multi-class probability estimates by coupling all pairwise classification results. Error correcting output codes (ECOC) are a general framework to decompose a multi-class problem to several binary problems. To obtain probability estimates under this framework, this paper introduces a generalized Bradley-Terry model in which paired individual comparisons are extended to paired team comparisons. We propose a simple algorithm with convergence proofs to solve the model and obtain individual skill. Experiments on synthetic and real data demonstrate that the algorithm is useful for obtaining multi-class probability estimates. Moreover, we discuss four extensions of the proposed model: 1) weighted individual skill, 2) home-field advantage, 3) ties, and 4) comparisons with more than two teams.-
dc.relation (關聯) Journal of Machine Learning Research - JMLR , vol. 7, pp. 85-115-
dc.subject (關鍵詞) Bradley-Terry model; probability estimates; error correcting output codes; support vector machines-
dc.title (題名) Generalized Bradley-Terry Models and Multi-Class Probability Estimates-
dc.type (資料類型) articleen