Consider the function f(w) = y log((wx)) + (1 y) log(1 (wTx)) Where w...

Transcribed Image Text:

Consider the function f(w) = y log(σ(w²x)) + (1 − y) log(1 − σ(wTx)) Where w and x are kth dimensional vectors. Assume 1 training example. Find Vw,l(w), that is, the partial derivative of (w) with respect to the jth element of vector W. • Recall if σ (x) = • Show your work! 1+e-x - then σ'(x) = σ(x)(1 − σ(x)) Consider the function f(w) = y log(σ(w²x)) + (1 − y) log(1 − σ(wTx)) Where w and x are kth dimensional vectors. Assume 1 training example. Find Vw,l(w), that is, the partial derivative of (w) with respect to the jth element of vector W. • Recall if σ (x) = • Show your work! 1+e-x - then σ'(x) = σ(x)(1 − σ(x))