arXiv:2512.03244cs.LGcs.AI2025-12

用大量验证计算替代真实答案,训练出更高效的推理过程奖励模型。

ScalePRM: Training Process Reward Models by Scaling Verification Compute Without Ground Truth

  • 通过自洽性与元批判生成多轮验证,合成无真值的步骤级标签。
  • 在ProcessBench上达到67.5 F1,超越有真值监督的基线模型。
  • 适合需要低成本过程监督的数学推理与强化学习场景。

训练过程奖励模型(PRM)需依赖步骤级正确性标签,通常通过昂贵的人工标注或依赖真值答案获得,限制了过程级监督的可扩展性。本文提出ScalePRM,以扩展验证计算作为替代方案:给定问题和候选解,对每个推理步骤生成多个独立验证,并聚合判断结果,从而在无真值情况下生成合成的步骤级标签。我们探索了两种推理时扩展策略——通过自洽性实现并行扩展,以及通过元批判实现串行扩展,并基于生成的合成数据训练生成式PRM。在ProcessBench(用于识别数学推理中错误步骤的基准)上,基于自洽性数据训练的PRM取得67.5 F1,优于参考引导训练(66.4 F1)和GPT-4o作为评判者(61.9 F1)。当作为强化学习中的奖励信号部署于Qwen2.5-Math-7B时,最优PRM在六个数学推理基准上平均准确率达47.4%,超过基于真值的RLVR(43.9%)。我们还识别并解决了生成式PRM在强化学习中特有的奖励滥用模式。结果表明,扩大验证计算是训练过程奖励模型的一种可行替代方案。

原文摘要 · Abstract (English)

Training process reward models (PRMs) requires step-level correctness labels, obtained either through expensive human annotation or by relying on ground-truth answers, limiting the ability to scale process-level supervision. We propose ScalePRM, which scales verification compute as an alternative: given a problem and a candidate solution, we generate multiple independent verifications of each reasoning step and aggregate their judgments to produce synthetic step-level labels without ground truth. We explore two representative inference-time scaling strategies, parallel scaling through self-consistency and sequential scaling through meta-critique, and train generative PRMs on the resulting synthetic data. On ProcessBench, a benchmark for identifying erroneous steps in mathematical reasoning, PRMs trained on step-level self-consistency data achieve 67.5 F1, surpassing reference-guided training with ground-truth access (66.4 F1) and GPT-4o as a critic (61.9 F1). When deployed as reward signals in RL training with Qwen2.5-Math-7B, our best PRM achieves 47.4% average accuracy across six mathematical reasoning benchmarks, outperforming ground-truth-based RLVR (43.9%). We also identify and address reward exploitation patterns unique to generative PRM-based RL. Our results demonstrate that scaling verification compute is a viable alternative to ground-truth supervision for training process reward models.

奖励模型数学推理强化学习自洽性

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