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A Bradley-Terry artificial neural network model for individual ratings in group competitions. Neural Computing and Applications (2007)

by LIN, WENG Joshua E Menke, Tony R Martinez
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Ranking Individuals by Group Comparisons

by Tzu-kuo Huang, Chih-jen Lin, Ruby C. Weng, Greg Ridgeway
"... This paper proposes new approaches to rank individuals from their group comparison results. Many real-world problems are of this type. For example, ranking players from team comparisons is important in some sports. In machine learning, a closely related application is classification using coding mat ..."
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This paper proposes new approaches to rank individuals from their group comparison results. Many real-world problems are of this type. For example, ranking players from team comparisons is important in some sports. In machine learning, a closely related application is classification using coding matrices. Group comparison results are usually in two types: binary indicator outcomes (wins/losses) or measured outcomes (scores). For each type of results, we propose new models for estimating individuals ’ abilities, and hence a ranking of individuals. The estimation is carried out by solving convex minimization problems, for which we develop easy and efficient solution procedures. Experiments on real bridge records and multi-class classification demonstrate the viability of the proposed models. Keywords: ranking, group comparison, binary/scored outcomes, Bradley-Terry model, multi-class classification 1.
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