rePIRL: Learn PRM with Inverse RL for LLM Reasoning
Existing process reward model (PRM) approaches either rely on strong expert assumptions or are prone to entropy collapse, limiting their generalization. This work proposes rePIRL, a novel framework that introduces inverse reinforcement learning into PRM learning for large language model (LLM) reasoning. By alternately optimizing the policy and the PRM, rePIRL establishes a dual-learning mechanism that unifies online and offline training under weak expert assumptions and effectively mitigates entropy collapse. Experiments demonstrate that rePIRL significantly outperforms existing methods on mathematical and code reasoning tasks. The learned PRMs prove effective for test-time training, test-time scaling, and early signal generation on challenging problems. Ablation studies further confirm the contribution of each component in the proposed design.