Likelihood Soft Classifier
# 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 $x \in \mathcal{D}$
$$g(x) = (\mathbb{P}(Y=y|X=x))_{y=1}^{n}$$
Search
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 $x \in \mathcal{D}$
$$g(x) = (\mathbb{P}(Y=y|X=x))_{y=1}^{n}$$