MAP criterion (Maximum A Posteriori):If P(H y)>P(H y) (4.2) we decide so are present,and conversely we decide S if P(H y)>P(H y) (4.3) Using Bayes'theorem,we can write P(Hy)= p(yH)P(H) (4.4) p(y) UESTC 44 UESTC 0 1 P H y P H y ( | ) ( | ) (4.2) 1 0 P H y P H y ( | ) ( | ) (4.3) 0 0 0 ( | ) ( ) ( | ) (4.4) ( ) p y H P H P H y p y MAP criterion (Maximum A Posteriori) :If we decide s0 are present, and conversely we decide s1 if Using Bayes’ theorem, we can write