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| TrueSkill: ベイズ的スキル評価による競技ランキング× | ベイズ推論× | |
|---|---|---|
| 分野≠ | 意思決定 | 統計学 |
| 系統≠ | Regression model | Bayesian methods |
| 提唱年≠ | 2007 | 1763 |
| 提唱者≠ | Ralf Herbrich, Tom Minka & Thore Graepel | Thomas Bayes; Pierre-Simon Laplace |
| 種類≠ | Probabilistic ranking model | Probabilistic inference paradigm |
| 原典≠ | Herbrich, R., Minka, T., & Graepel, T. (2007). TrueSkill: A Bayesian skill rating system. Advances in Neural Information Processing Systems, 19, 569–576. link ↗ | Bayes, T. (1763). An essay towards solving a problem in the doctrine of chances. Philosophical Transactions of the Royal Society of London, 53, 370–418. link ↗ |
| 別名≠ | Bayesian Skill Rating, TrueSkill Ranking System, Gaussian Skill Model, Beceri Derecelendirme Modeli | Bayes inference, Bayesian statistics, Bayesian updating, posterior inference |
| 関連 | 3 | 3 |
| 概要≠ | TrueSkill is a Bayesian skill rating system developed by Herbrich, Minka, and Graepel at Microsoft Research and introduced at NeurIPS 2006. It represents each player's skill as a Gaussian distribution parameterized by a mean (estimated skill) and a variance (uncertainty). After each match outcome, the system updates these distributions via approximate message passing, yielding a principled ranking that handles team games, draws, and partial observations in online settings. | Bayesian inference is a statistical paradigm in which probability represents degrees of belief rather than long-run frequencies. It encodes prior knowledge about parameters in a prior distribution, combines that prior with the likelihood of observed data via Bayes' theorem, and produces a posterior distribution that quantifies updated uncertainty. The foundational theorem was published posthumously by Thomas Bayes in 1763 and subsequently systematized by Pierre-Simon Laplace in his 1812 Théorie analytique des probabilités. |
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