Probabilistic Classification

In probabilistic classification problems, the label space ⚠ $Y$ is finite and Forecaster is required to output a probability measure on ⚠ $Y$. In binary classification problems, the size of ⚠ $Y$ is 2; usually, ⚠ $Y=\{0,1\}$ or ⚠ $Y=\{-1,1\}$, 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.