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Paper · arXiv

How RL Reshapes LLM Reasoning: Transferability, Coverage, and Scaling Laws

Recent studies on reinforcement learning (RL) report seemingly conflicting evidence about large language model (LLM) reasoning. Training on mathematics can improve performance in other domains, yet gains in Pass@1 can coincide with lower Pass@$N$ than the base model. This raises a fundamental question: does RL expand an LLM's reasoning boundary, or merely reweight its existing reasoning space? We revisit these phenomena across Qwen and Gemma model families, showing both cross-domain gains and forgetting, while coverage at large sampling budgets increases on some tasks and decreases on others. Detailed analysis of solution traces before and after RL indicates a shift in the reasoning strat...

AuthorsZiheng Cheng, Yixiao Huang, Hanlin Zhu et al.
Primary categorycs.LG
Published3 October 2026
Last updated at source3 October 2026
cs.LGcs.AIstat.ML
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