Probabilistic Classification

In probabilistic classification problems, the label space ⚠ $\mathbf{Y}$ is finite and Forecaster is required to output a probability measure on ⚠ $\mathbf{Y}$. In binary classification problems, the size of ⚠ $\mathbf{Y}$ is 2; usually, ⚠ $\mathbf{Y}=\{0,1\}$ or ⚠ $\mathbf{Y}=\{-1,1\}$, and a forecast can be interpreted as a number in the interval ⚠ ${[0,1]}$ (the predicted probability of the outcome 1).

An example of forecasting strategies for probabilistic classification is various Venn predictors.