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Paper · arXiv

Mixing Regularization for Average-Reward $Q$-Learning and $Q$-Planning

The average-reward setting for reinforcement learning is challenging because its Bellman operator is known to contract in span only when the underlying Markov chain is mixing. Whereas existing work typically assumes a contraction property, e.g., through environment mixing, we consider the setting where we are given a reward-agnostic $m$-step mixing policy, and we control the contraction and exploration properties of the learned policy by regularizing toward the mixing policy. We provide finite-time analysis of $Q$-learning algorithms that can be instantiated with multiple choices of regularization, with guarantees measured with respect to the regularized fixed point. Our framework exposes...

AuthorsJulien Roger, Sam Bodmer, Jian Qian et al.
Primary categorycs.LG
Published10 October 2026
Last updated at source10 October 2026
cs.LGcs.AImath.OCstat.ML
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