Before revision:  The result implies the optimal sample complexity for offline learning and separates  local uniform OPE from the global case  . Paramountly, the model-based method combining with our new analysis technique (singleton absorbing MDP) can be adapted to the new settings:
After revision:  The result implies the optimal sample complexity for offline learning and separates local uniform OPE from the global case due to the extra S factor . Paramountly, the model-based method combining with our new analysis technique (singleton absorbing MDP) can be adapted to the new settings: