WirelessMathBench: A Mathematical Modeling Benchmark for LLMs in Wireless Communications

Xin Li, Mengbing Liu, Li Wei, Jiancheng An, Merouane Abdelkader Debbah, Chau Yuen


Abstract
Large Language Models (LLMs) have achieved impressive results across a broad array of tasks, yet their capacity for complex, domain-specific mathematical reasoning—particularly in wireless communications—remains underexplored. In this work, we introduce WirelessMathBench, a novel benchmark specifically designed to evaluate LLMs on mathematical modeling challenges to wireless communications engineering. Our benchmark consists of 587 meticulously curated questions sourced from 40 state-of-the-art research papers, encompassing a diverse spectrum of tasks ranging from basic multiple-choice questions to complex equation completion tasks, including both partial and full completions, all of which rigorously adhere to physical and dimensional constraints. Through extensive experimentation with leading LLMs, we observe that while many models excel in basic recall tasks, their performance degrades significantly when reconstructing partially or fully obscured equations, exposing fundamental limitations in current LLMs. Even DeepSeek-R1, the best performer on our benchmark, achieves an average accuracy of only 38.05%, with a mere 7.83% success rate in full equation completion. By publicly releasing WirelessMathBench along with the evaluation toolkit, we aim to advance the development of more robust, domain-aware LLMs for wireless system analysis and broader engineering applications.
Anthology ID:
2025.findings-acl.573
Volume:
Findings of the Association for Computational Linguistics: ACL 2025
Month:
July
Year:
2025
Address:
Vienna, Austria
Editors:
Wanxiang Che, Joyce Nabende, Ekaterina Shutova, Mohammad Taher Pilehvar
Venue:
Findings
SIG:
Publisher:
Association for Computational Linguistics
Note:
Pages:
10984–11009
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URL:
https://preview.aclanthology.org/display_plenaries/2025.findings-acl.573/
DOI:
Bibkey:
Cite (ACL):
Xin Li, Mengbing Liu, Li Wei, Jiancheng An, Merouane Abdelkader Debbah, and Chau Yuen. 2025. WirelessMathBench: A Mathematical Modeling Benchmark for LLMs in Wireless Communications. In Findings of the Association for Computational Linguistics: ACL 2025, pages 10984–11009, Vienna, Austria. Association for Computational Linguistics.
Cite (Informal):
WirelessMathBench: A Mathematical Modeling Benchmark for LLMs in Wireless Communications (Li et al., Findings 2025)
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PDF:
https://preview.aclanthology.org/display_plenaries/2025.findings-acl.573.pdf