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Random Bayes Classifer

Last updated Nov 1, 2022

# Definition

Let $(X, Y, n)$ be a Classification Problem. The Random Bayes Classifier is a Random Classifier $F$ so that for $x \in \mathcal{D}$

$$\mathbb{P}(F = y | X = x) = \mathbb{P}(Y=y|X=x)$$