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Paper · arXiv

Failure Is the Mother of Success: Recovering Supervision with Grounding Hindsight

When every rollout for a problem fails, GRPO receives neither a successful exemplar nor a nonzero group-relative advantage, so it learns nothing from exactly the problems it most needs to learn. The failed reasoning can nevertheless suggest what to try next. We present Replay-Selected Hindsight Distillation (RSHD), which turns failed attempts into an additional, tested source of supervision during GRPO training. The policy writes a corrective note about each failed attempt without seeing a reference answer or solution, then re-solves the problem with the note in context. A note is admitted only if its replays succeed more often than the original group did, after screening for notes that s...

AuthorsSheldon Yu, Tong Yu, Nikki Lijing Kuang et al.
Primary categorycs.AI
Published14 October 2026
Last updated at source14 October 2026
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