4. (10 pts) For n pattern classes, the Bayes decision functions for a 0-1 loss function have the form d; (x) = P(x|c;)P(
Posted: Wed May 11, 2022 6:03 am
4. (10 pts) For n pattern classes, the Bayes decision functions for a 0-1 loss function have the form d; (x) = P(x|c;)P(c;), j = 1, 2, ---, N. where p(x|c) is the pdf of the patter from class cj and P() is the probability of occurrence of class cj. Prove that these decision functions minimize the probability of error p(error) = 1-p(correct), where p(correct) is the probability of being correct.