LearnAlign: Data Selection for LLM Reinforcement Learning with Improved Gradient Alignment

Shipeng Li, Zhiqin Yang, Shikun Li, Xiaobo Xia, Hengyu Liu, Xinghua Zhang, Gaode Chen, Dong Fang, Ying Tai, Zhe Peng


Abstract
Reinforcement learning with verifiable rewards (RLVR) has become a key technique for enhancing LLMs’ reasoning abilities, yet its data inefficiency remains a major bottleneck. To address this critical yet challenging issue, we present a novel gradient-alignment-based method, named LearnAlign, which intelligently selects the learnable and representative training reasoning data for RLVR post-training. To overcome the well-known response-length bias in gradient norms, we introduce the data learnability based on the success rate, which indicates the learning potential of each data point. Experiments across five reasoning benchmarks show that our method significantly reduces training data requirements while achieving minor performance degradation or even improving performance compared to full-data training. Specifically, it reduces data requirements by up to 1,000 data points with better performance (77.5%) than that on the full dataset on the GSM8K benchmark (77.0%). Furthermore, its efficiency is demonstrated on both mathematical and code benchmarks by using much less data from the DAPO-MATH-17K dataset.
Anthology ID:
2026.findings-acl.2009
Volume:
Findings of the Association for Computational Linguistics: ACL 2026
Month:
July
Year:
2026
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San Diego, California, United States
Editors:
Maria Liakata, Viviane P. Moreira, Jiajun Zhang, David Jurgens
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Findings
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Publisher:
Association for Computational Linguistics
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Pages:
40417–40434
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https://preview.aclanthology.org/ingest-acl/2026.findings-acl.2009/
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Cite (ACL):
Shipeng Li, Zhiqin Yang, Shikun Li, Xiaobo Xia, Hengyu Liu, Xinghua Zhang, Gaode Chen, Dong Fang, Ying Tai, and Zhe Peng. 2026. LearnAlign: Data Selection for LLM Reinforcement Learning with Improved Gradient Alignment. In Findings of the Association for Computational Linguistics: ACL 2026, pages 40417–40434, San Diego, California, United States. Association for Computational Linguistics.
Cite (Informal):
LearnAlign: Data Selection for LLM Reinforcement Learning with Improved Gradient Alignment (Li et al., Findings 2026)
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https://preview.aclanthology.org/ingest-acl/2026.findings-acl.2009.pdf
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