A Bradley-Terry Artificial Neural Network Model for Individual ...

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24 Joshua Menke, Tony Martinez for sub-groups of players to play in “fire-teams” in games like Enemy Territory. An interaction model can be designed that uses the fire-teams as a basis without needing to consider the intractable number of all-possible interactions. References Bradley, R., & Terry, M. (1952). The rank analysis of incomplete block designs I: The method of paired comparisions. Biometrika, 39, 324– 345. David, H. A. (1988). The method of paired comparisons. Oxford University Press. Davidson, R. R., & Farquhar, P. H. (1976). A bibliography on the method of paired comparisons. Biometrics, 32, 241–252. Glickman, M. E. (1999). Parameter Estimation in Large Dynamic Paired Comparison Experiments. Applied Statistics, 48(3), 377–394. Hastie, T., & Tibshirani, R. (1998). Classification by pairwise coupling. In M. I. Jordan, M. J. Kearns, & S. A. Solla (Eds.), Advances in neural information processing systems (Vol. 10). The MIT Press. Huang, T.-K., Lin, C.-J., & Weng, R. C. (2005). A generalized bradleyterry model: From group competition to individual skill. In L. K. Saul, Y. Weiss, & L. Bottou (Eds.), Advances in neural information processing systems 17 (p. 601-608). Cambridge, MA: MIT Press.
An ANN Model For Individual Ratings in Group Competitions 25 Hunter, D. R. (2004). Mm algorithms for generalized Bradley-Terry models. The Annals in Statistics, 32, 386–408. Zadrozny, B. (2001). Reducing multiclass to binary by coupling probability estimates.
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