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Paper · arXiv

Anatomy of Off-Policy Policy Gradient: Importance Sampling, KL Regularization, and Baselines

Reinforcement learning has become a central tool for large language model (LLM) post-training, where policy gradient methods are routinely deployed off-policy, even though vanilla policy gradient assumes on-policy sampling. We study when such off-policy deployment is justified, and what roles its core ingredients, including importance sampling, KL regularization, and baselines, play in handling the resulting distribution shift. We show that for a general class of off-policy policy gradient updates, consistency, in the sense that the optimal policy remains a stationary point, requires one of two structures at the optimal policy: trajectory-level importance weighting, which suffers from the...

AuthorsHaoqun Cao, Yurun Yuan, Tengyang Xie
Primary categorycs.LG
Published19 October 2026
Last updated at source19 October 2026
cs.LGcs.AI
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