The Bayes classification rule(for two classes M=2) Given x classify it according to the rule P(ax)>P(a2x)x→a fP(a2)>P(a|x)x→O s equivalently: classify x according to the rule P(a)P(a)(<p(xa)P(a) For equiprobable classes the test becomes P(xo(p(xo210 ❖ The Bayes classification rule (for two classes M=2) ➢ Given classify it according to the rule ➢ Equivalently: classify according to the rule ➢ For equiprobable classes the test becomes x 2 1 2 1 2 1 ( ) ( ) ( ) ( )        →  → P x P x x P x P x x If If ( ) ( )( ) ( ) ( ) 1 1 2 P 2 p x P  p x ( )( ) ( ) 1 2 p x  p x x