For robust average-reward MDPs, the paper proves model-free Q-learning and actor-critic algorithms converge with tilde O(epsilon^{-2}) sample complexity via a carefully constructed semi-norm contraction.
Bounded semigroups of matrices
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Efficient Q-Learning and Actor-Critic Methods for Robust Average-Reward Reinforcement Learning
For robust average-reward MDPs, the paper proves model-free Q-learning and actor-critic algorithms converge with tilde O(epsilon^{-2}) sample complexity via a carefully constructed semi-norm contraction.