PCSD: Persistent Consistency for Self-Distillation in Agentic Reinforcement Learning

2026-08-03Artificial Intelligence

Artificial Intelligence
AI summary

The authors address the problem of training large language models with reinforcement learning when feedback is sparse and delayed. They propose a new method called Persistent Consistency Self-Distillation (PCSD), which assigns more reliable and smooth supervision weights by looking at how consistently the teacher model supports certain tokens over time. This method helps the model learn better by combining detailed guidance from the teacher with occasional environmental rewards. Their experiments show that PCSD improves performance on complex tasks compared to previous methods without needing extra skills at test time.

large language modelreinforcement learningsparse rewardsself-distillationtoken-level supervisionALFWorldGRPOteacher modeltrajectorytrend-aware modulation
Authors
Chunji Lv, Yangguang Wei, Junlin Liu, Yang Gao, Ming Liu, Xinming Wang, Jinyang Wu, Guoren Wang, Changsheng Li
Abstract
Large language model agents have shown strong potential in complex interactive tasks, yet their reinforcement learning (RL) is often hindered by sparse rewards, as a long multi-turn trajectory may receive only a single outcome-level signal. On-policy self-distillation (OPSD) provides dense token-level supervision from a privileged teacher, but the teacher may not be reliable at every position. Existing methods commonly rely on isolated token-level discrepancies, which can be sensitive to noise, or assign a shared step-level weight that may overlook positional variation. We propose Persistent Consistency Self-Distillation (PCSD), which derives token-level distillation weights from the local persistence of teacher-favoring signals. PCSD combines adaptive windows with exponentially decayed aggregation to capture persistent relative teacher support, applies trend-aware modulation to attenuate locally declining support, and produces continuous weights through sigmoid gating. The resulting objective is jointly optimized with GRPO, combining dense teacher guidance with sparse environmental feedback. Without inference-time skills, PCSD achieves the best ALFWorld Overall results among all baselines on both backbones, exceeding GRPO by 15.6 and 13.3 points and SDAR by 6.2 and 5.5 points, while remaining competitive on WebShop and gaining 15.8 points over GRPO on unseen ALFWorld split.