Conditional misclassification risk
= Conditional misclassification risk
{title2=$L(C)=\mathbb P(C(X)\ne Y\mid\mathcal T)$}
For a random <classifier> $C$ determined by training information $\mathcal T$, and an <independent> test pair $(X,Y)$, its conditional <misclassification risk> is $L(C)=\mathbb P(C(X)\ne Y\mid\mathcal T)$. It is itself a training-dependent random variable. The <tower property of conditional expectation> gives $\mathbb E L(C)=\mathbb P(C(X)\ne Y)$.