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Consider the logistic regression model without an intercept: Vi = 0 (x;01) where o (x;01 ) = Itexp (-x,#1) For the Cost function, J(0), let
Consider the logistic regression model without an intercept: Vi = 0 (x;01) where o (x;01 ) = Itexp (-x,#1) For the Cost function, J(0), let it be based on the cross-entropy loss: J (Oly) = Ec( vivi) n i=1 Eco(x,01), Vi) n 1=1 where C ()1, )i ) = -[y log()) + (1 - y) log(1 - ))]Obtain the value of chat minimizes the cost function by setting the derivative, die, equal to zero and solving for 6'1; (Psst. you can onlyr go so far before being blocked due to the activation function!) Hint: The derivative die] is not taken with respect to the series index since 6 is independent of the index 1
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