Guided Permutation Scoring (GPS) : Option-Order Permutation for Multiple-Choice Question Answering

Md Shahrar Fatemi, Zhan Shi, Klaus Mueller, Tengfei Ma


Abstract
Large Language Models (LLMs) are sensitive to the order in which answer choices are presented in Multiple-Choice Question Answering. The same question can yield a different prediction when its options are shuffled. Although exhaustive majority voting over all permutations can mitigate this bias, its factorial cost makes it impractical at inference time. We propose GPS (Guided Permutation Scoring), a two-stage inference-time pipeline that selects option orderings more likely to produce correct predictions from a frozen LLM. A sensitivity classifier first identifies which questions are genuinely vulnerable to positional interference; robust questions are answered directly, while sensitive ones are forwarded to a trained permutation scorer that identifies a more position-stable option ordering, promoting better predictions. Unlike prior approaches that either enumerate all permutations uniformly, or require modifying the LLM’s parameters, GPS is the first method to actively select permutations so that the base model can consistently give better answers. GPS steadily improves Accuracy, and Macro F1 across all evaluated model-dataset combinations, with remarkable reductions in positional bias metrics.
Anthology ID:
2026.findings-emnlp.1290
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:
27294–27313
Language:
URL:
https://aclanthology.org/2026.findings-emnlp.1290/
DOI:
Bibkey:
Cite (ACL):
Md Shahrar Fatemi, Zhan Shi, Klaus Mueller, and Tengfei Ma. 2026. Guided Permutation Scoring (GPS) : Option-Order Permutation for Multiple-Choice Question Answering. In Findings of the Association for Computational Linguistics: EMNLP 2026, pages 27294–27313, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
Guided Permutation Scoring (GPS) : Option-Order Permutation for Multiple-Choice Question Answering (Fatemi et al., Findings 2026)
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PDF:
https://aclanthology.org/2026.findings-emnlp.1290.pdf