SPLICE: repairing failed math reasoning with solution hints boosts AIME and proofs

behrouz_ali · x · 2026-10-16

The paper introduces SPLICE, which learns from a model's failed math attempts: the model is given hints from a reference solution, repairs its reasoning, and a smaller model is then trained on the repaired reasoning traces. This improves both AIME accuracy and Olympiad-level proofs. The authors note that getting a reasoning model to actually follow hints took nontrivial effort.

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