\begin{align}
\mathop{\max} \hspace{2mm} & \sum_{i \in \mathcal{I}} w_i D_\text{KL}( {f_i}\| f_\text{AA}) \\
\text{s.t.} \hspace{2mm}  & \sum_{i \in \mathcal{I}} w_i = 1 \\
 & w_i \geq 0, i=1,2,..., I
\end{align}
