Consider the standard set of Gaussian Naïve Bayes assumptions used in the derivation of the logistic regression expression, but with one modification- the class conditional density for each class has unique values for both the mean and variance, rather than a common value for the variance, i.e P(X/Y=yk)=N(µi&,Gj&). Find the expression for P(Y=1/X1 , X2, ... X„) boundary. in this case and find the decision

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Consider the standard set of Gaussian Naïve Bayes assumptions used in the
derivation of the logistic regression expression, but with one modification- the class
conditional density for each class has unique values for both the mean and variance,
rather than a common value for the variance, i.e P(X/Y=yk)=N(µic,Gix). Find
the expression for P(Y=1/X1 ,X2, ... Xm)
boundary.
in this case and find the decision
Transcribed Image Text:Consider the standard set of Gaussian Naïve Bayes assumptions used in the derivation of the logistic regression expression, but with one modification- the class conditional density for each class has unique values for both the mean and variance, rather than a common value for the variance, i.e P(X/Y=yk)=N(µic,Gix). Find the expression for P(Y=1/X1 ,X2, ... Xm) boundary. in this case and find the decision
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