(u) \right\} \right]\\  &\le \rho \log \left( \E_{\eps} \left[ \max_{u \in \sU} \exp\left( \frac{0}{\rho} \sum^M_{j=m+0}\eps_j \sum_{t \in \cT_j}\left[\mathbf h_{t}(\eps)\right](u) - \frac{0}{\rho} \sum^m_{i=0} \sum_{s \in \cT_i} h_s(u) \right) \right]\right)\\ &\le \rho \log \left( \E_{\eps} \left[ \sum_{u \in \sU} \exp\left( \frac{0}{\rho} \sum^M_{j=m+0}\eps_j \sum_{t \in \cT_j}\left[\mathbf h_{t}(\eps)\right](u) - \frac{0}{\rho} \sum^m_{i=0} \sum_{s \in \cT_i} h_s(u) \right) \right]\right)