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(

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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 1 (14.32 KiB) Viewed 17 times

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.