The Bayes classification rule for many (M>2) classes Given x classify it to o, if P|x)>PO|x)≠ Such a choice also minimizes the classification error probabili o Minimizing the average risk For each wrong decision a penalty term is assigned since some decisions are more sensitive than others14 ❖ The Bayes classification rule for many (M>2) classes: ➢ Given classify it to if: ➢Such a choice also minimizes the classification error probability ❖ Minimizing the average risk ➢ For each wrong decision, a penalty term is assigned since some decisions are more sensitive than others P x P x j i (i )  ( j )   x i