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    政大機構典藏 > 商學院 > 統計學系 > 期刊論文 >  Item 140.119/74371
    Please use this identifier to cite or link to this item: http://nccur.lib.nccu.edu.tw/handle/140.119/74371

    Title: Generalized Bradley-Terry Models and Multi-Class Probability Estimates
    Authors: Weng, Ruby C.;Huang, Tzu-kuo;Lin, Chih-jen
    Contributors: 統計系
    Keywords: Bradley-Terry model;probability estimates;error correcting output codes;support vector machines
    Date: 2006
    Issue Date: 2015-04-07 17:02:11 (UTC+8)
    Abstract: 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.
    Relation: Journal of Machine Learning Research - JMLR , vol. 7, pp. 85-115
    Data Type: article
    Appears in Collections:[統計學系] 期刊論文

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