coded as -N/N, N/N2. (a) Show that the LDA rule classifies to class 2 if "i-"(i2 - in) > £-'-TEn + log(NA/N) – log(Na/N). and class 1 otherwise. (b) Consider minimization of the least squares criterion Show that the solution 3 satisfies (N - 2) + B= N(jia- ) (after simplification), where Ep = (ia - n)(i2- i)".

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part (a) and (b) 

Suppose we have features r E R", a two-class response, with class sizes N1, N2, and the target
coded as -N/N1, N/N2.
(a) Show that the LDA rule classifies to class 2 if
a"E- (i2 - i1) > i£'m -iT£'â1 + log(N1/N) – log(Na/N),
and class 1 otherwise.
(b) Consider minimization of the least squares criterion
iml
Show that the solution 3 satisfies
NIN2
2)£
EB B N(i2-)
(after simplification), where Eg (2 - )(i2 - j)".
Transcribed Image Text:Suppose we have features r E R", a two-class response, with class sizes N1, N2, and the target coded as -N/N1, N/N2. (a) Show that the LDA rule classifies to class 2 if a"E- (i2 - i1) > i£'m -iT£'â1 + log(N1/N) – log(Na/N), and class 1 otherwise. (b) Consider minimization of the least squares criterion iml Show that the solution 3 satisfies NIN2 2)£ EB B N(i2-) (after simplification), where Eg (2 - )(i2 - j)".
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