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This paper introduces PASS, a novel pipeline for shaping advantage signals in Group-Relative Policy Optimization (GRPO) to better leverage dense process supervision from local feedback. By jointly optimizing reward normalization and credit accumulation, the method significantly boosts mathematical reasoning accuracy while reducing response length compared to outcome-only training. These findings offer a concrete technical advancement for improving the efficiency and performance of reinforcement learning strategies in large language model reasoners.
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Process Advantage Signal Shaping: Advantage Construction for Process-Supervised Reinforcement Learning in LLM Reasoners

arXiv2 min read

arXiv:2606.29296v2 Announce Type: replace Abstract: Dense process supervision supplies local feedback but leaves open how that feedback should become a policy advantage. We introduce PASS (Process Advantage Signal Shaping), an advantage-construction pipeline for group-relative policy optimization (GRPO). PASS combines separate reward-channel normalization and fusion, signal-defined chunks for credit accumulation, and normalization by the remaining chunk count. This design connects the scale of local feedback to the resolution and horizon over which it contributes to a policy update. We evaluate PASS using learned process rewards for mathematical reasoning and teacher-derived token signals for multi-hop question answering. On seven mathematics benchmarks, PASS improves average pass@1 by $4.62$ points over outcome-only GRPO while reducing average response length by approximately $2\%$. On multi-hop QA with mean-centered normalization, PASS exceeds outcome-only training by $0.87$ and $0.63$ points for two distillation signals, with longer responses. Across both normalization schemes, PASS achieves the highest mean accuracy among the tested process-signal configurations and remains closest to outcome-only under absolute-maximum normalization. These findings show that channel handling, credit resolution, and accumulation should be considered jointly when incorporating dense supervision into policy optimization.

Abstract:Dense process supervision supplies local feedback but leaves open how that feedback should become a policy advantage. We introduce PASS (Process Advantage Signal Shaping), an advantage-construction pipeline for group-relative policy optimization (GRPO). PASS combines separate reward-channel normalization and fusion, signal-defined chunks for credit accumulation, and normalization by the remaining chunk count. This design connects the scale of local feedback to the resolution and horizon over which it contributes to a policy update. We evaluate PASS using learned process rewards for mathematical reasoning and teacher-derived token signals for multi-hop question answering. On seven mathematics benchmarks, PASS improves average pass@1 by $4.62$ points over outcome-only GRPO while reducing average response length by approximately $2\%$. On multi-hop QA with mean-centered normalization, PASS exceeds outcome-only training by $0.87$ and $0.63$ points for two distillation signals, with longer responses. Across both normalization schemes, PASS achieves the highest mean accuracy among the tested process-signal configurations and remains closest to outcome-only under absolute-maximum normalization. These findings show that channel handling, credit resolution, and accumulation should be considered jointly when incorporating dense supervision into policy optimization.

Artificial Intelligence (cs.AI)

arXiv:2606.29296 [cs.AI]

(or arXiv:2606.29296v2 [cs.AI] for this version)

https://doi.org/10.48550/arXiv.2606.29296 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 270 words

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