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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク TrueSkill ： ウィキペディア英語版 TrueSkill TrueSkill is a Bayesian ranking algorithm developed by Microsoft Research and used in the Xbox matchmaking system built to address some perceived flaws in the Elo rating system. It is an extension of the Glicko rating system to multiplayer games. TrueSkill maintains an estimation of the skill of each player; every time a player plays a game, the system accordingly changes the perceived skill of the player and acquires more confidence about this perception. ==Calculation== Published formulas for Trueskill are not complete, and some needed functions are simply shown as graphs. Some of the math is spelled out in the paper. A player's skill is represented as a normal distribution $\backslash mathcal$ characterized by a mean value of $\backslash mu$ (mu, representing perceived skill) and a variance of $\backslash sigma$ (sigma, representing how much "confidence" the system has in the player's $\backslash mu$ value). As such $\backslash mathcal(x)$ can be interpreted as the probability that the player's "true" skill is $x$. On Xbox Live, players start with $\backslash mu\; =\; 25$ and $\backslash sigma\; =\; 25/3$; $\backslash mu$ always increases after a win and always decreases after a loss. The extent of actual updates depends on each player's $\backslash sigma$ and on how "surprising" the outcome is to the system. Unbalanced games, for example, result in either negligible updates when the favorite wins, or huge updates when the favorite loses surprisingly. Factor graphs are used to "pack up" each team into $(\backslash mu,\backslash sigma)$ pairs on which the update formulas are run; the skill updates are then correctly distributed to each player. Player ranks are displayed as the conservative estimate of their skill, $R\; =\; \backslash mu\; -\; 3\; \backslash times\; \backslash sigma$. This is conservative, because the system is 99% sure that the player's skill is actually higher than what is displayed as their rank. The system can be used with arbitrary scales, but Microsoft uses a scale from 0 to 50 for Xbox Live. Hence, players start with a rank of $R\; =\; 25\; -\; 3\; \backslash cdot\; \backslash frac\; =\; 0$. This means that a new player's defeat results in a large sigma loss, which partially or completely compensates their mu loss. This explains why people may gain ranks from losses. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「TrueSkill」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.