Algorithm A2: Adagrad Algorithm

$\begin{array}{l}{g}_t\leftarrow {\nabla }_{{\theta }_{t-1}}f\left({\theta }_{t-1}\right)\\ n_t\leftarrow n_{t-1}+g_t{}^2\\ {\theta }_t\leftarrow {\theta }_{t-1}-\eta \frac{g_t}{\sqrt{n_t+\epsilon }}\end{array}$