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Paper · arXiv

A Predictive Law for On-Policy Self-Distillation From World Feedback

Moving beyond simple scalar rewards toward richer world feedback is a natural path to more scalable RL post-training. On-policy self-distillation (OPSD) is a promising recent approach that uses arbitrary feedback as learning signal, yet its reliability compared to established methods, such as GRPO, remains unclear. We identify a strikingly consistent linear correlation between the initial student-self-teacher performance gap and the final performance improvement in OPSD. This relationship holds across context types and model families, providing a powerful predictive law for anticipating the outcome of an OPSD configuration without running the full training procedure. Interestingly, we sho...

AuthorsTommy He, Jerome Sieber, Matteo Saponati
Primary categorycs.LG
Published28 May 2026
Last updated at source28 May 2026
cs.LGcs.AI
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