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Paper · arXiv

PAST: Privileged Adaptation from Complete Student Trajectories for On-Policy Self-Distillation

On-policy self-distillation (OPSD) uses a privileged teacher to supervise a reasoning model on prefixes sampled from its own rollouts. Yet each rollout also reveals how the student's response unfolds and whether it succeeds, student-specific hindsight that standard OPSD does not use to form the teacher. We introduce Privileged Adaptation from Student Trajectories (PAST), which treats each completed student trajectory as additional privileged information for the OPSD teacher while leaving the student's distillation prefixes unchanged. PAST preserves the student's next-token distribution on correct trajectories and uses failed trajectories to adapt the teacher toward verified success under ...

AuthorsYangyang Feng, Zhuoyan Feng, Junlan Chen
Primary categorycs.LG
Published9 August 2026
Last updated at source9 August 2026
cs.LGcs.AI
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