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

Salman Rahman, Sruthi Gorantla, Arpit Gupta, Swastik Roy, Nanyun Peng, Yang Liu


Abstract
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.
Anthology ID:
2026.emnlp-main.1452
Volume:
Proceedings of the 2026 Conference on Empirical Methods in Natural Language Processing
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
Hung-Yi Lee, Sunipa Dev, Jessy Li, Desmond Elliott
Venue:
EMNLP
SIG:
SIGDAT
Publisher:
Association for Computational Linguistics
Note:
Pages:
33157–33178
Language:
URL:
https://aclanthology.org/2026.emnlp-main.1452/
DOI:
Bibkey:
Cite (ACL):
Salman Rahman, Sruthi Gorantla, Arpit Gupta, Swastik Roy, Nanyun Peng, and Yang Liu. 2026. ScalePRM: Training Process Reward Models by Scaling Verification Compute Without Ground Truth. In Proceedings of the 2026 Conference on Empirical Methods in Natural Language Processing, pages 33157–33178, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
ScalePRM: Training Process Reward Models by Scaling Verification Compute Without Ground Truth (Rahman et al., EMNLP 2026)
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PDF:
https://aclanthology.org/2026.emnlp-main.1452.pdf