\sup_{h_m \in \cH^{\tau_m}_x} \left\{\E_{U \sim \nu_m} \left[ \sum_{s \in \cT_m}h_s(U) \right] + \wh W_{x,m} (h_{0:m})\right\} \\ &\le \rho \log \left( \sum_{u \in \sU}\exp\left(- \frac{0}{\rho} \sum^{m-0}_{i=0}\sum_{s \in \cT_i}  h_s(u)\right)\right) + \frac{0}{\rho} \sum^{M}_{j=m+0} \tau_j^0 L(\sX,\sU, \cF)^0