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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 Bayes classifier ： ウィキペディア英語版 Bayes classifier In statistical classification the Bayes classifier minimises the probability of misclassification. ==Definition== Suppose a pair $(X,Y)$ takes values in $\backslash mathbb^d\; \backslash times\; \backslash$, where $Y$ is the class label of $X$. This means that the conditional distribution of ''X'', given that the label ''Y'' takes the value ''r'' is given by :$X\backslash mid\; Y=r\; \backslash sim\; P\_r$ for $r=1,2,\backslash dots,K$ where "$\backslash sim$" means "is distributed as", and where $P\_r$ denotes a probability distribution. A classifier is a rule that assigns to an observation ''X''=''x'' a guess or estimate of what the unobserved label ''Y''=''r'' actually was. In theoretical terms, a classifier is a measurable function $C:\; \backslash mathbb^d\; \backslash to\; \backslash$, with the interpretation that ''C'' classifies the point ''x'' to the class ''C''(''x''). The probability of misclassification, or risk, of a classifier ''C'' is defined as :$\backslash mathcal(C)\; =\; \backslash operatorname\backslash .$ The Bayes classifier is :$C^\backslash text(x)\; =\; \backslash underset\}\; \backslash operatorname(Y=r\; \backslash mid\; X=x).$ In practice, as in most of statistics, the difficulties and subtleties are associated with modeling the probability distributions effectively—in this case, $\backslash operatorname(Y=r\; \backslash mid\; X=x)$. The Bayes classifier is a useful benchmark in statistical classification. The excess risk of a general classifier $C$ (possibly depending on some training data) is defined as $\backslash mathcal(C)\; -\; \backslash mathcal(C^\backslash text).$ Thus this non-negative quantity is important for assessing the performance of different classification techniques. A classifier is said to be consistent if the excess risk converges to zero as the size of the training data set tends to infinity. 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「Bayes classifier」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.