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Paper · arXiv

Breaking the Capability Ceiling of LLM Post-Training by Reintroducing Markov States

Reinforcement learning (RL) has become a standard paradigm for post-training and aligning Large Language Models (LLMs), yet recent evidence suggests it faces a persistent "capability ceiling": unlike classical RL systems that discover novel strategies, RL for LLMs often acts as a mere refiner of patterns already latent in pre-trained weights. In this work, we identify a fundamental structural bottleneck: while classical RL relies on compact, informative Markov states, current LLM post-training formulations are tethered to an ever-expanding history of actions. We revisit a classical principle long central to RL yet absent from LLM post-training: explicit Markov states. Theoretically, we pr...

AuthorsYurun Yuan, Tengyang Xie
Primary categorycs.LG
Published20 March 2026
Last updated at source20 March 2026
cs.LGcs.AIcs.CL
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