diff --git a/topics/optimisation.tex b/topics/optimisation.tex index 0b62965..d6a6008 100644 --- a/topics/optimisation.tex +++ b/topics/optimisation.tex @@ -129,7 +129,7 @@ J(\w + \epsilon \h) &= \sqrt{f(\w+\epsilon \h)} \\ &= \sqrt{f(\w)} + \epsilon \frac{1}{2\sqrt{f(\w)}} 2\w^\top \h + O(\epsilon^2)\\ &= \sqrt{f(\w)} + \epsilon \frac{\w^\top}{\sqrt{f(\w)}}\h + O(\epsilon^2)\\ - &= J(\w) + \epsilon \frac{\w^\top}{\sqrt{||\w||_2}}\h + O(\epsilon^2) + &= J(\w) + \epsilon \frac{\w^\top}{||\w||_2}\h + O(\epsilon^2) \end{align} so that \begin{equation}