Question: Given the GDA model's discriminant function log p(y = c | x, ) = log c 1 2 log |2c| 1 2 (x c )

Given the GDA model's discriminant function log p(y = c | x, ) = log c 1 2 log |2c| 1 2 (x c ) 1 c (x c ) + const . (1) Please describe why the decision boundary between any two classes will be a quadrative function of x. In addition, in which case the LDA (figure 2 (right), referring to week 8's slide page 29) will be a special case of GDA and please explain that according to the decision boundaries that can be derived from the equation 1

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