Stop Rolling the Dice: Active Group Relative Policy Optimization via Intrinsic Metacognition

Zheng Gong, Ying Sun, Hao Peng, Philip S. Yu


Abstract
Group Relative Policy Optimization (GRPO) is an attractive reinforcement learning paradigm for Large Reasoning Models because its groupwise relative advantages eliminate the need for a value network, but its efficiency is severely limited by zero-variance queries whose rollouts are uniformly correct or uniformly incorrect and therefore consume expensive Chain-of-Thought generation without providing useful learning signals. Existing remedies typically rely on offline difficulty labels or external capability trackers, which either fail to follow the model’s rapidly evolving competence or compromise the end-to-end simplicity of GRPO. We propose Active-GRPO, a prompt-free extension that equips the policy with intrinsic fuzzy metacognition via a lightweight confidence head attached to the final prefill representation. The head predicts ordinal confidence bins and is jointly calibrated against empirical rollout outcomes through a dual-objective optimization framework. It further enables a multi-criterion voting mechanism that filters uninformative queries before rollout generation, thereby concentrating compute on samples near the learning boundary with negligible overhead and without perturbing the reasoning distribution. Experiments on mathematical and logical reasoning benchmarks show that Active-GRPO reduces training computation while improving both reasoning accuracy and intrinsic calibration quality.
Anthology ID:
2026.findings-emnlp.614
Volume:
Findings of the Association for Computational Linguistics: EMNLP 2026
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
Hung-Yi Lee, Sunipa Dev, Jessy Li, Desmond Elliott
Venue:
Findings
SIG:
SIGDAT
Publisher:
Association for Computational Linguistics
Note:
Pages:
12915–12927
Language:
URL:
https://aclanthology.org/2026.findings-emnlp.614/
DOI:
Bibkey:
Cite (ACL):
Zheng Gong, Ying Sun, Hao Peng, and Philip S. Yu. 2026. Stop Rolling the Dice: Active Group Relative Policy Optimization via Intrinsic Metacognition. In Findings of the Association for Computational Linguistics: EMNLP 2026, pages 12915–12927, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
Stop Rolling the Dice: Active Group Relative Policy Optimization via Intrinsic Metacognition (Gong et al., Findings 2026)
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PDF:
https://aclanthology.org/2026.findings-emnlp.614.pdf