Equivalently in words: Divide space in two regions Ifx∈R1→xnO1 Ifx∈R2→xim2 ☆ Probability of error Total shaded area +0 12(x)女jp(xan 二 Bayesian classifier is OPTIMAL with respect to minimising the classification error probability!12 ❖ Equivalently in words: Divide space in two regions ❖ Probability of error ➢ Total shaded area ➢ ❖ Bayesian classifier is OPTIMAL with respect to minimising the classification error probability!!!! 2 2 1 1 If in If in   x R x x R x       + − = + 0 0 ( ) 2 1 ( ) 2 1 2 1 x x Pe p x dx p x dx