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Paper · arXiv

When Can LLMs Learn to Reason with Weak Supervision?

Large language models have achieved significant reasoning improvements through reinforcement learning with verifiable rewards (RLVR). Yet as model capabilities grow, constructing high-quality reward signals becomes increasingly difficult, making it essential to understand when RLVR can succeed under weaker forms of supervision. We conduct a systematic empirical study across diverse model families and reasoning domains under three weak supervision settings: scarce data, noisy rewards, and self-supervised proxy rewards. We find that generalization is governed by training reward saturation dynamics: models that generalize exhibit a prolonged pre-saturation phase during which training reward ...

AuthorsSalman Rahman, Jingyan Shen, Anna Mordvina et al.
Primary categorycs.LG
Published20 April 2026
Last updated at source20 April 2026
cs.LGcs.AI
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