(a) Let β2 = (β2,i)1≤i≤k = ∇a(2) ly(a (2)) ∈ R k and φ2 : W(2) 7→ ly(W(2)a (1)). Show that for all 1 ≤ i ≤ k and 1 ≤ j ≤ d, ∂φ2 ∂W(2) ij  W(2) = a (1) j β2,i.

(a) Let β2 = (β2,i)1≤i≤k = ∇a(2) ly(a (2)) ∈ R k and φ2 : W(2) 7→ ly(W(2)a (1)). Show that for all 1 ≤ i ≤ k and 1 ≤ j ≤ d, ∂φ2 ∂W(2) ij  W(2) = a (1) j β2,i.

Jul 12, 2022
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