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Paper · arXiv

Learning Process Rewards via Reasoning State Propagation

Process reward models (PRMs) have demonstrated notable effectiveness in test-time scaling and reinforcement learning by providing fine-grained signals for evaluating intermediate reasoning states, but their training relies heavily on costly process annotations. A natural way to alleviate this dependence is to complement limited process supervision with scalable outcome supervision. However, existing PRMs often model reasoning prefixes independently, providing no explicit mechanism for effectively using final outcome to guide the learning of intermediate reasoning states. We introduce Reasoning State Propagation (RSP), which represents each reasoning prefix with a binary validity state and...

AuthorsKai Gan, Zi-Hao Zhou, Bo Ye et al.
Primary categorycs.AI
Published30 September 2026
Last updated at source30 September 2026
cs.AIcs.LG
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