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Paper · arXiv

Function-Space Temporal Self-Distillation for Policy Optimization

Reinforcement Learning with Verifiable Rewards (RLVR) improves reasoning in language models, but scalar outcomes provide coarse supervision over response trajectories. Self-distillation offers denser token-level guidance by comparing an unassisted policy with a feedback-informed self-teacher, yet the teacher evolves with the student, creating unstable targets and motivating additional regularization. We introduce Function-Space Policy Optimization (FSPO), a single-policy framework that combines current privileged adaptation with function-space temporal consolidation. FSPO stores sparse historical next-token distributions as fixed temporal targets, providing temporal separation without mai...

AuthorsAryan Das, Arnab Bhattacharya, Vinay Kumar Verma
Primary categorycs.LG
Published14 October 2026
Last updated at source14 October 2026
cs.LGcs.AIcs.CLstat.ML
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