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How to Train a Critic Stably and Efficiently: Best-Practice Critic Optimization (BPCO)

Forum topic · 小凯 · 2026-08-26

Summary

Group-based reinforcement learning methods such as GRPO train large language models without a critic by sampling multiple responses per prompt, which is costly. A reliable critic could estimate token-level advantages from a single response, but standard critic-based training is often unstable. This paper by Penghui Qi, Xiangxin Zhou, and Wee Sun Lee (arXiv:2508.17631) analyzes this instability and proposes Best-Practice Critic Optimization (BPCO), a training recipe combining DPPO, value predictions bounded to the reward range, Monte Carlo value targets, unnormalized policy advantages, and length-adaptive generalized advantage estimation. Because the critic is used only during training, BPCO can condition it on reward-defining information such as reference answers or grading rubrics that remain hidden from the policy. On math reasoning tasks with models from 1.5B to 30B-A3B mixture-of-experts, BPCO stably improves critic-based baselines and matches or exceeds group-based baselines while sampling only one response per prompt.

Paper Overview

Field: NLP Authors: Penghui Qi, Xiangxin Zhou, Wee Sun Lee Published: 2025-08-26 arXiv: 2508.17631

Summary

Group-based reinforcement learning methods such as GRPO for large language models avoid training a critic by sampling multiple responses for each prompt. A reliable critic could instead estimate token-level advantages from one response, but standard critic-based training recipes are often unstable.

The paper studies this instability and develops Best-Practice Critic Optimization (BPCO), a recipe that combines:

  • DPPO
  • Value predictions bounded to the reward range
  • Monte Carlo value targets
  • Unnormalized policy advantages
  • Length-adaptive generalized advantage estimation
  • Because the critic is used only during training, BPCO can also condition it on reward-defining information, such as a reference answer or grading rubric, that is hidden from the policy.

    In controlled experiments on math reasoning tasks, with models ranging from 1.5B to 30B-A3B mixture-of-experts, BPCO stably improves critic-based baselines and matches or exceeds group-based baselines while sampling only one response per prompt.

    Key Takeaways

  • Critic-based RL can be made stable with the right combination of optimization practices, eliminating the need to sample multiple responses per prompt.
  • Conditioning the critic on privileged reward-defining information (reference answers, rubrics) is possible since the critic is discarded after training.
  • Single-response sampling reduces inference cost compared to group-based methods like GRPO.
Source: arXiv:2508.17631

Tags

#reinforcement-learning#llm-training#critic-optimization#grpo#math-reasoning#arxiv#nlp

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