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Paper · arXiv

Projected Distillation: On Learning to Solve Hard Problems from Close, Correct Targets

On-policy learning is central to post-training: training on a model's own generations limits distribution shift and helps preserve existing capabilities. On hard problems, however, on-policy RL provides no reward-based learning signal when all attempts fail. On-policy distillation provides next-token supervision from a teacher, but on hard problems, if a rollout goes wrong early, subsequent supervision is conditioned on prefixes that already contain the mistake. Correct behavior can instead come from a gold or teacher solution, but such off-policy targets can differ substantially from the model's generations and, as we show, may erode existing capabilities. We therefore treat on-policynes...

AuthorsShripad V. Deshmukh, Christian Bock, Kangrui Ruan et al.
Primary categorycs.LG
Published20 October 2026
Last updated at source20 October 2026
cs.LGcs.AI
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