Mitigating Selection Bias in Large Language Models via Permutation-Aware GRPO
Paper · 2026 · Jinquan Zheng, Jia Yuan, Jiacheng Yao et al.
Summary
LLMs that answer multiple-choice questions or act as pairwise judges often show selection bias. Their choice shifts when only option order (position bias) or option identifiers such as "A" (label bias) change, while the content stays the same. Calibration at inference time adds cost and does not fix the model's reasoning. Fine-tuning on augmented data treats each reordering as an unrelated example. The authors argue that standard GRPO has the same flaw, which they call "permutation-blindness."
Their method, PA-GRPO, groups several reorderings of one instance into a permutation group and samples multiple responses for each variant. It then makes two changes to GRPO:
- Advantages are measured against the average reward of the whole group rather than a single prompt.
- An extra reward term favours picking the same underlying answer across all reorderings.
Tested on three open-weight backbones and seven judge and MCQ benchmarks, PA-GRPO beats baselines including PIF and CalibraEval. It reduces bias while keeping accuracy high. This makes LLM-based evaluation and data pipelines more trustworthy.
Key points
- Backbones and benchmarks: Llama-3.1-8B-Instruct, Qwen3-8B and Qwen3-32B were tested on seven benchmarks.
- Judge tasks: MT-Bench, JudgeBench, PreferenceBench, RewardBench.
- MCQ tasks: GPQA, ARC-Challenge, TinyMMLU.
- Metrics: Accuracy, Consistency, and Consistent Accuracy. RStd, CKLD and a prompt-sensitivity analysis are reported in an appendix.
- Bias decomposition (JudgeBench): after training, the remaining sensitivity comes mostly from position. Consistency is 79.0% when only labels are changed but 45.5% when only order is changed.
- Bias decomposition (PreferenceBench): combined label-and-position permutations, which match the training setup, give 87.2% consistency. Label-only changes give 62.8% and order-only changes give 66.9%.
- CoT and limitations: PA-GRPO is robust without chain-of-thought prompting but gains further with it. The study is limited to discrete-choice tasks in English, and code is released on GitHub.
Institutions
Fields, topics and concepts
📚 Shelves 4The field of science this work belongs to (OpenAlex fields).Computer Science · 18,614 worksArtificial Intelligence · 17,965 worksArts and Humanities · 17,450 worksLanguage and Linguistics · 17,296 works
🧭 Topics 1Research subjects and languages the work is about.Language models & pretraining · 3,894 works
Cite
Cite as Jinquan Zheng, Jia Yuan, Jiacheng Yao, Chenyang Gu, Pujun Zheng and Guoxiu He. 2026. Mitigating Selection Bias in Large Language Models via Permutation-Aware GRPO. Proceedings of the 64th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers).
@inproceedings{zheng2026mitigating,
title = {{Mitigating Selection Bias in Large Language Models via Permutation-Aware GRPO}},
author = {Jinquan Zheng, Jia Yuan, Jiacheng Yao, Chenyang Gu, Pujun Zheng and Guoxiu He},
booktitle = {Proceedings of the 64th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers)},
year = {2026},
doi = {10.18653/v1/2026.acl-long.1621},
url = {https://doi.org/10.18653/v1/2026.acl-long.1621}
}References
- Josh Achiam, Steven Adler, Sandhini Agarwal, Lama Ahmad, Ilge Akkaya, Florencia Leoni Aleman, Diogo Almeida, Janko Altenschmidt, Sam Altman, Shyamal Anadkat, and 1 others. 2023. Gpt-4 technical report. arXiv preprint arXiv:2303.08774.
- Wei-Lin Chiang, Lianmin Zheng, Ying Sheng, Anastasios Nikolas Angelopoulos, Tianle Li, Dacheng Li, Banghua Zhu, Hao Zhang, Michael Jordan, Joseph E Gonzalez, and 1 others. 2024. Chatbot arena: An open platform for evaluating llms by human preference. In Forty-first International Conference on Machin…
- Hyeong Kyu Choi, Weijie Xu, Chi Xue, Stephanie Eck-man, and Chandan K Reddy. 2025. Mitigating selection bias with node pruning and auxiliary options. In Proceedings of the 63rd Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers), pages 5190–5215. find
- Paul F Christiano, Jan Leike, Tom Brown, Miljan Martic, Shane Legg, and Dario Amodei. 2017. Deep reinforcement learning from human preferences. Advances in neural information processing systems, 30. find
- Peter Clark, Isaac Cowhey, Oren Etzioni, Tushar Khot, Ashish Sabharwal, Carissa Schoenick, and Oyvind Tafjord. 2018. Think you have solved question answering? try arc, the ai2 reasoning challenge. arXiv preprint arXiv:1803.05457.
- Tri Dao, Dan Fu, Stefano Ermon, Atri Rudra, and Christopher Ré. 2022. Flashattention: Fast and memory-efficient exact attention with io-awareness. Advances in neural information processing systems, 35:16344–16359. find
- Abhimanyu Dubey, Abhinav Jauhri, Abhinav Pandey, Abhishek Kadian, Ahmad Al-Dahle, Aiesha Letman, Akhil Mathur, Alan Schelten, Amy Yang, Angela Fan, and 1 others. 2024. The llama 3 herd of models. arXiv preprint arXiv:2407.21783.
- Yann Dubois, Balázs Galambosi, Percy Liang, and Tatsunori B Hashimoto. 2024. Length-controlled alpacaeval: A simple way to debias automatic evaluators. arXiv preprint arXiv:2404.04475. find
- Dan Hendrycks, Collin Burns, Steven Basart, Andy Zou, Mantas Mazeika, Dawn Song, and Jacob Steinhardt. 2020. Measuring massive multitask language understanding. arXiv preprint arXiv:2009.03300.
- Ari Holtzman, Peter West, Vered Shwartz, Yejin Choi, and Luke Zettlemoyer. 2021. Surface form competition: Why the highest probability answer isn’t always right. arXiv preprint arXiv:2104.08315.
- Edward J Hu, Yelong Shen, Phillip Wallis, Zeyuan Allen-Zhu, Yuanzhi Li, Shean Wang, Lu Wang, Weizhu Chen, and 1 others. 2022. Lora: Low-rank adaptation of large language models. ICLR, 1(2):3.
- Joonwon Jang, Sanghwan Jang, Wonbin Kweon, Minjin Jeon, and Hwanjo Yu. 2024. Rectifying demonstration shortcut in in-context learning. arXiv preprint arXiv:2403.09488. find
- Natasha Jaques, Asma Ghandeharioun, Judy Hanwen Shen, Craig Ferguson, Agata Lapedriza, Noah Jones, Shixiang Gu, and Rosalind Picard. 2019. Way off-policy batch deep reinforcement learning of implicit human preferences in dialog. arXiv preprint arXiv:1907.00456. — [arXiv:1907.00456](https://arxiv.org/abs/1907.00456) find
- Seungone Kim, Juyoung Suk, Shayne Longpre, Bill Yuchen Lin, Jamin Shin, Sean Welleck, Graham Neubig, Moontae Lee, Kyungjae Lee, and Minjoon Seo. 2024. Prometheus 2: An open source language model specialized in evaluating other language models. arXiv preprint arXiv:2405.01535.
- Woosuk Kwon, Zhuohan Li, Siyuan Zhuang, Ying Sheng, Lianmin Zheng, Cody Hao Yu, Joseph Gonzalez, Hao Zhang, and Ion Stoica. 2023. Efficient memory management for large language model serving with pagedattention. In Proceedings of the 29th symposium on operating systems principles, pages 611–626.
- Nathan Lambert, Valentina Pyatkin, Jacob Morrison, Lester James Validad Miranda, Bill Yuchen Lin, Khyathi Chandu, Nouha Dziri, Sachin Kumar, Tom Zick, Yejin Choi, and 1 others. 2025. Rewardbench: Evaluating reward models for language modeling. In Findings of the Association for Computational Linguis… find
- Dawei Li, Bohan Jiang, Liangjie Huang, Alimohammad Beigi, Chengshuai Zhao, Zhen Tan, Amrita Bhattacharjee, Yuxuan Jiang, Canyu Chen, Tianhao Wu, and 1 others. 2025a. From generation to judgment: Opportunities and challenges of llm-as-a-judge. In Proceedings of the 2025 Conference on Empirical Method… find
- Haitao Li, Junjie Chen, Qingyao Ai, Zhumin Chu, Yujia Zhou, Qian Dong, and Yiqun Liu. 2025b. Calibrae-val: Calibrating prediction distribution to mitigate selection bias in llms-as-judges. In Proceedings of the 63rd Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Pape… find
- Adian Liusie, Yassir Fathullah, and Mark Gales. 2024. Teacher-student training for debiasing: General permutation debiasing for large language models. In Findings of the Association for Computational Linguistics: ACL 2024, pages 1376–1387. find
- Ilya Loshchilov and Frank Hutter. 2017. Decoupled weight decay regularization. arXiv preprint arXiv:1711.05101. find
- Yao Lu, Max Bartolo, Alastair Moore, Sebastian Riedel, and Pontus Stenetorp. 2022. Fantastically ordered prompts and where to find them: Overcoming few-shot prompt order sensitivity. In Proceedings of the 60th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers), p…
- Yuchun Miao, Sen Zhang, Liang Ding, Rong Bao, Lefei Zhang, and Dacheng Tao. 2024. Inform: Mitigating reward hacking in rlhf via information-theoretic reward modeling. Advances in Neural Information Processing Systems, 37:134387–134429. find
- Long Ouyang, Jeffrey Wu, Xu Jiang, Diogo Almeida, Carroll Wainwright, Pamela Mishkin, Chong Zhang, Sandhini Agarwal, Katarina Slama, Alex Ray, and 1 others. 2022. Training language models to follow instructions with human feedback. Advances in neural information processing systems, 35:27730–27744.
- Pouya Pezeshkpour and Estevam Hruschka. 2024. Large language models sensitivity to the order of options in multiple-choice questions. In Findings of the Association for Computational Linguistics: NAACL 2024, pages 2006–2017.
- Felipe Maia Polo, Lucas Weber, Leshem Choshen, Yuekai Sun, Gongjun Xu, and Mikhail Yurochkin. 2024. tinybenchmarks: evaluating llms with fewer examples. arXiv preprint arXiv:2402.14992. find
- Rafael Rafailov, Archit Sharma, Eric Mitchell, Christopher D Manning, Stefano Ermon, and Chelsea Finn. 2023. Direct preference optimization: Your language model is secretly a reward model. Advances in neural information processing systems, 36:53728–53741.
- Yuval Reif and Roy Schwartz. 2024. Beyond performance: Quantifying and mitigating label bias in llms. arXiv preprint arXiv:2405.02743. find
- David Rein, Betty Li Hou, Asa Cooper Stickland, Jackson Petty, Richard Yuanzhe Pang, Julien Dirani, Julian Michael, and Samuel R Bowman. 2024. Gpqa: A graduate-level google-proof q&a benchmark. In First Conference on Language Modeling.
- Zhihong Shao, Peiyi Wang, Qihao Zhu, Runxin Xu, Junxiao Song, Xiao Bi, Haowei Zhang, Mingchuan Zhang, YK Li, Yang Wu, and 1 others. 2024. Deepseekmath: Pushing the limits of mathematical reasoning in open language models. arXiv preprint arXiv:2402.03300.
- Guangming Sheng, Chi Zhang, Zilingfeng Ye, Xibin Wu, Wang Zhang, Ru Zhang, Yanghua Peng, Haibin Lin, and Chuan Wu. 2025. Hybridflow: A flexible and efficient rlhf framework. In Proceedings of the Twentieth European Conference on Computer Systems, pages 1279–1297.
- Lin Shi, Chiyu Ma, Wenhua Liang, Xingjian Diao, Weicheng Ma, and Soroush Vosoughi. 2024. Judging the judges: A systematic study of position bias in llm-as-a-judge. arXiv preprint arXiv:2406.07791.
- Sijun Tan, Siyuan Zhuang, Kyle Montgomery, William Y Tang, Alejandro Cuadron, Chenguang Wang, Raluca Ada Popa, and Ion Stoica. 2024. Judgebench: A benchmark for evaluating llm-based judges. arXiv preprint arXiv:2410.12784.
- Peiyi Wang, Lei Li, Liang Chen, Zefan Cai, Dawei Zhu, Binghuai Lin, Yunbo Cao, Lingpeng Kong, Qi Liu, Tianyu Liu, and 1 others. 2024a. Large language models are not fair evaluators. In Proceedings of the 62nd Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers), pa… find
- Xiaoyue Wang and Xin Liu. 2025. Beyond generation: Leveraging llm creativity to overcome label bias in classification. In Findings of the Association for Computational Linguistics: ACL 2025, pages 25500– 25506. find
- Xuezhi Wang, Jason Wei, Dale Schuurmans, Quoc Le, Ed Chi, Sharan Narang, Aakanksha Chowdhery, and Denny Zhou. 2022. Self-consistency improves chain of thought reasoning in language models. arXiv preprint arXiv:2203.11171.
- Yifei Wang, Feng Xiong, Yong Wang, Linjing Li, Xiangxiang Chu, and Daniel Dajun Zeng. 2025. Position bias mitigates position bias: Mitigate position bias through inter-position knowledge distillation. In Proceedings of the 2025 Conference on Empirical Methods in Natural Language Processing, pages 14…
- Ziqi Wang, Hanlin Zhang, Xiner Li, Kuan-Hao Huang, Chi Han, Shuiwang Ji, Sham M Kakade, Hao Peng, and Heng Ji. 2024b. Eliminating position bias of language models: A mechanistic approach. arXiv preprint arXiv:2407.01100. — [arXiv:2407.01100](https://arxiv.org/abs/2407.01100) find
- Liu, Rui Men, An Yang, and 1 others. 2025. Group sequence policy optimization. arXiv preprint arXiv:2507.18071.
- Chujie Zheng, Hao Zhou, Fandong Meng, Jie Zhou, and Minlie Huang. 2023a. Large language models are not robust multiple choice selectors. arXiv preprint arXiv:2309.03882. find
- Lianmin Zheng, Wei-Lin Chiang, Ying Sheng, Siyuan Zhuang, Zhanghao Wu, Yonghao Zhuang, Zi Lin, Zhuohan Li, Dacheng Li, Eric Xing, and 1 others. 2023b. Judging llm-as-a-judge with mt-bench and chatbot arena. Advances in neural information processing systems, 36:46595–46623.
- Hanzhang Zhou, Zijian Feng, Zixiao Zhu, Junlang Qian, and Kezhi Mao. 2024. Unibias: Unveiling and mitigating llm bias through internal attention and ffn manipulation. Advances in Neural Information Processing Systems, 37:102173–102196. find
- Sheng-Lun Wei, Cheng-Kuang Wu, Hen-Hsen Huang, and Hsin-Hsi Chen. 2024. Unveiling selection biases: Exploring order and token sensitivity in large language models. In Findings of the Association for Computational Linguistics ACL 2024, pages 5598– 5621. find
- Mengge Xue, Zhenyu Hu, Liqun Liu, Kuo Liao, Shu’ang Li, Honglin Han, Meng Zhao, and Chengguo Yin. 2024. Strengthened symbol binding makes large language models reliable multiple-choice selectors. In Proceedings of the 62nd Annual Meeting of the Association for Computational Linguistics (Volume 1: Lo… find
- An Yang, Anfeng Li, Baosong Yang, Beichen Zhang, Binyuan Hui, Bo Zheng, Bowen Yu, Chang Gao, Chengen Huang, Chenxu Lv, and 1 others. 2025. Qwen3 technical report. arXiv preprint arXiv:2505.09388.
- Soyoung Yoon, Dongha Ahn, Youngwon Lee, Minkyu Jung, HyungJoo Jang, and Seung-won Hwang. 2025. Rotor: Towards more reliable responses for order-invariant inputs. arXiv preprint arXiv:2502.08662. find
- Qiying Yu, Zheng Zhang, Ruofei Zhu, Yufeng Yuan, Xiaochen Zuo, Yu Yue, Weinan Dai, Tiantian Fan, Gaohong Liu, Lingjun Liu, and 1 others. 2025. Dapo: An open-source llm reinforcement learning system at scale. arXiv preprint arXiv:2503.14476.
- Zihao Zhao, Eric Wallace, Shi Feng, Dan Klein, and Sameer Singh. 2021. Calibrate before use: Improving few-shot performance of language models. In International conference on machine learning, pages 12697–12706. PMLR.
- Chujie Zheng, Shixuan Liu, Mingze Li, Xiong-Hui Chen, Bowen Yu, Chang Gao, Kai Dang, Yuqiong find
Updated
This page in Markdown → https://md.research.elamur.ai/free/en/papers/zheng-2026-mitigating-selection-bias-large-language/