揭示大模型强化学习中奖励信号的隐性分配机制。
The Cancellation Hypothesis in Critic-Free RL: From Outcome Rewards to Token Credits

- 从令牌级分析发现成功与失败序列的令牌概率变化相似。
- 共享令牌因信号抵消而更新弱,独特令牌获更强强化。
- 提出批次干预方法,提升训练效率,适合模型优化研究者。
主流观点认为,基于序列奖励的大模型无评论器强化学习通过正向优势增强成功生成,负向惩罚失败输出。本文从令牌级别出发,发现成功与失败序列中,概率被提升或抑制的令牌比例极为相似,呈现“令牌翻转”现象。进一步分析表明,单个令牌的概率变化不仅由自身优势决定,还受其他令牌的梯度耦合影响,尤其在低置信度的相同令牌间更显著。基于此,我们提出‘抵消假设’:共享令牌的正负信号相互抵消,而仅在成功序列中出现的特定令牌获得更强强化,从而实现从序列奖励到令牌级别的隐式信用分配。实证支持包括:(1)相比仅用正样本训练,无评论器强化学习将更新重心从模板格式令牌转向推理令牌;(2)无论来自正负序列,被提升的令牌价值始终高于被抑制的令牌。基于该视角,我们设计两种简单批处理干预——查询保留小批量和奖励平衡批处理,有效提升多规模模型的RLVR训练效果,验证了抵消机制既是解释原理,也可作为实际训练设计准则。
原文摘要 · Abstract (English)
A commonly accepted explanation of critic-free RL for LLMs, based on sequence-level rewards, is that it reinforces successful rollouts with a positive advantage while penalizing failed ones. In contrast, we study critic-free RL from a token-level perspective, revealing the token-flipping phenomenon: positive and negative rollouts exhibit remarkably similar proportions of tokens whose probabilities are boosted or suppressed during RL training. To explain this phenomenon, we further show that a token's change in probability is not fully determined by its own advantage; coupled gradient interactions with other tokens also play a non-negligible role. Specifically, these token coupling effects occur primarily between identical tokens that are both predicted with low confidence. Building upon this analysis, we propose the cancellation hypothesis: as a result of coupling, opposing signals cancel out for tokens shared by positive and negative rollouts, while tokens more specific to successful rollouts receive stronger reinforcement, thereby inducing hidden token-level credit assignment from rollout-level rewards. We support this hypothesis with complementary empirical evidence. (1) Compared with training on only positive rollouts, critic-free RL shifts updates from template and formatting tokens toward reasoning tokens; (2) Tokens boosted by critic-free RL consistently demonstrate higher value than suppressed tokens, regardless of whether they originate from positive or negative rollouts. Guided by this view, we implement two batching interventions to encourage or preserve cancellation in critic-free RL training: query-preserved mini-batching and reward-balanced batching. Despite their simplicity, these interventions improve RLVR training across multiple model scales, supporting cancellation as both an explanatory principle and a practical design criterion for critic-free RL training.
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