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Paper · arXiv

Privy to the Foil: Recasting Value Estimation with a Self-Privileged Critic for RLVR

Assigning credit to intermediate steps remains a central challenge in training Large Language Models (LLMs) on multi-step reasoning tasks with sparse terminal rewards, and actor-critic methods such as PPO address this by learning value functions to construct token-level advantages. Their effectiveness, however, hinges on reliable value estimation, a difficult task requiring the critic to both assess progress toward a correct solution and anticipate an evolving policy's future behavior; errors in either can compromise credit assignment and destabilize online training. In this paper, we revisit the standard state-only formulation of value estimation and propose $π$PPO, a self-privileged act...

AuthorsKun Liang, Chenming Tang, Clive Bai et al.
Primary categorycs.LG
Published29 September 2026
Last updated at source29 September 2026
cs.LGcs.AI
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