arXiv AI By Xuliang Huang, Tianxiang Zhao, Chengwei Qin, Yao Shu

GIST: Gibbs-Targeted Hierarchical Data Selection for Offline RLVR

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The paper introduces GIST, a Gibbs‑Targeted Hierarchical Data Selection method for offline reinforcement learning with verifiable rewards (RLVR). By analyzing the bidirectional KL divergence between a policy and its Gibbs‑optimal target, GIST selectively supervises correct responses on‑policy and incorrect responses near the policy’s mode, while focusing token supervision on mismatched tokens. Experiments on GSM8K, MATH‑500, and MBPP show that GIST improves average accuracy across three models and outperforms seven baselines on Qwen3‑0.6B/GSM8K, all while supervising 66.6% fewer tokens.

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