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Paper · arXiv

HPO: Hysteretic Policy Optimization for Stable and Efficient Training under Sparse-Reward Regime

We investigate a narrow but common failure mode of GRPO-style reinforcement learning in the context of sparse verifiable rewards: early updates contain more responses with negative advantages than those with positive advantages, while response-level length normalization ties the magnitude of the update to the length of the output. We propose Hysteretic Policy Optimization (HPO), a minimal modification of GRPO that reduces the weight of negative-advantage updates and replaces per-response length normalization with mean-length normalization. We further introduce Adaptive HPO (A-HPO), which sets the hysteretic weight based on batch-level advantage-sign statistics, thereby removing the need f...

AuthorsMohamed Sana, Nicola Piovesan, Antonio De Domenico et al.
Primary categorycs.LG
Published28 May 2026
Last updated at source28 May 2026
cs.LGcs.AI
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