A loss surface over two parameters is modelled by
f(x,y)=x2y3+ln(xy),x>0, y>0f(x, y) = x^2 y^3 + \ln(xy), \qquad x > 0,\ y > 0f(x,y)=x2y3+ln(xy),x>0, y>0
At the point (1,1)(1, 1)(1,1), find:
Which pair is correct?
Select all that apply.
∥∇f∥=7\|\nabla f\| = 7∥∇f∥=7, steepest descent along ⟨−3,−4⟩\langle -3, -4 \rangle⟨−3,−4⟩
∥∇f∥=5\|\nabla f\| = 5∥∇f∥=5, steepest descent along ⟨0.6, 0.8⟩\langle 0.6,\ 0.8 \rangle⟨0.6, 0.8⟩
∥∇f∥=5\|\nabla f\| = 5∥∇f∥=5, steepest descent along ⟨−0.6, −0.8⟩\langle -0.6,\ -0.8 \rangle⟨−0.6, −0.8⟩
∥∇f∥=13\|\nabla f\| = \sqrt{13}∥∇f∥=13, steepest descent along 113⟨−2,−3⟩\frac{1}{\sqrt{13}}\langle -2, -3 \rangle131⟨−2,−3⟩