(u) \right\} \right]\\  &\le \rho \log \left( \E_{\eps} \left[ \max_{u \in \sU} \exp\left( \frac{0}{\rho} \sum^{T-t}_{i=0}\eps_i \left[\mathbf h_{i}(\eps)\right](u) - \frac{0}{\rho} \sum^t_{s=0} h_{x,s}(u) \right) \right]\right)\\ &\le \rho \log \left( \E_{\eps} \left[ \sum_{u \in \sU} \exp\left( \frac{0}{\rho} \sum^{T-t}_{i=0}\eps_i \left[\mathbf h_{i}(\eps)\right](u) - \frac{0}{\rho} \sum^t_{s=0} h_{x,s}(u) \right) \right]\right)