Question: please help me to solve this question. Suppose we have a collection of observations (x1, di), ..., (N, dN), where xi and di are real

please help me to solve this question.

please help me to solve this question. Suppose we have a collection

Suppose we have a collection of observations (x1, di), ..., (N, dN), where xi and di are real valued inputs and desired outputs, respectively. We want to estimate di with yi (e.g. di ~ yi), where yi = x, w. This is accomplished by determining the regression coefficients, w, that minimize the following cost function: N E(w) = (di - x7 w)2 + 71120112 (1) i=1 where A is a regularization parameter (it is a constant). Bold indicates that x; and w are mul- tidimensional vectors. |w|2 = w w. Derive and show the solution for the optimal regression coefficients, w, that minimize this cost function. Be sure to show all work/steps. h ah ax AX XT A A XT X 2X XTAX AX + ATX Table 1: Potentially useful derivatives for matrices (or vectors), where A and X are each matrices (or vectors)

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