Best Practice Critic Optimization

Hugging Face Daily Papers Papers

Summary

BPCO introduces a stable recipe for critic-based reinforcement learning in language models, combining bounded value predictions and Monte Carlo targets to match group-based methods with single-response sampling.

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. We study this instability and develop **Best Practice Critic Optimization (BPCO)**, a recipe that combines 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 also condition it on reward-defining information, such as a reference answer or grading rubric, that is hidden from the policy. Controlled experiments isolate the effect of each design choice. Across mathematical reasoning tasks with models ranging from 1.5B parameters to 30B-A3B mixtures of experts, BPCO improves a strong critic-based baseline consistently, and matches or exceeds a group-based baseline while sampling one response per prompt. The same recipe also improves learning with rubric-based rewards. These results show that a carefully designed critic provides a reliable alternative to group-relative advantage estimation. Code is available at https://github.com/QPHutu/golden_critic.
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Source: https://huggingface.co/papers/2608.23566

Abstract

BPCO stabilizes critic-based reinforcement learning for language models by combining bounded value predictions, Monte Carlo targets, and adaptive advantage estimation, matching group-based methods with single-response sampling.

Group-based reinforcement learning methods such asGRPOfor large language models avoid training a critic by sampling multiple responses for each prompt. A reliable critic could instead estimatetoken-level advantagesfrom one response, but standard critic-based training recipes are often unstable. We study this instability and develop **Best PracticeCritic Optimization(BPCO)**, a recipe that combinesDPPO,value predictionsbounded to the reward range,Monte Carlo value targets, unnormalized policy advantages, and length-adaptivegeneralized 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. Controlled experiments isolate the effect of each design choice. Across mathematical reasoning tasks with models ranging from 1.5B parameters to 30B-A3B mixtures of experts, BPCO improves a strong critic-based baseline consistently, and matches or exceeds a group-based baseline while sampling one response per prompt. The same recipe also improves learning withrubric-based rewards. These results show that a carefully designed critic provides a reliable alternative to group-relative advantage estimation. Code is available at https://github.com/QPHutu/golden_critic.

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