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Paper · arXiv

Hierarchical Credit Assignment for RLVR on Fused Gromov-Wasserstein Geometry

Reinforcement learning with verifiable rewards (RLVR) has been shown to improve the reasoning capability of large language models (LLMs) across diverse reasoning tasks. However, group-based RLVR methods, such as GRPO, assign a uniform advantage to all tokens within rollouts of the same outcome. While existing works refine credit assignment of GRPO based on local signals such as token locations or entropy, they often fail to capture the global semantic novelty of a reasoning behavior relative to the current policy. In this work, we propose a hierarchical credit assignment approach for group-based RLVR methods, called HarA, which identifies and encourages semantically novel reasoning behavi...

AuthorsQi Yu, Ruizhong Qiu, Zhichen Zeng et al.
Primary categorycs.LG
Published3 October 2026
Last updated at source3 October 2026
cs.LGcs.CL
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