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Likelihood Soft Classifier

Last updated Nov 1, 2022

# Definition

Let $(X, Y, n)$ be a Classification Problem. The Likelihood Soft Classifier is a Soft Classifier $g: \mathcal{D} \to [0,1]^{n}$ so that for $x \in \mathcal{D}$

$$g(x) = (\mathbb{P}(Y=y|X=x))_{y=1}^{n}$$