WirelessMathBench: A Mathematical Modeling Benchmark for LLMs in Wireless Communications

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-theart research papers, encompassing a diverse spectrum of tasks ranging from basic multiplechoice 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 WirelessMath-Bench 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.Benchmark

Authors

Publication Details

Published
2025-01-01
DOI
https://doi.org/10.18653/v1/2025.findings-acl.573
Citations
2
Primary Topic
Cooperative Communication and Network Coding
Type
article
Field-Weighted Citation Impact
2.97

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WirelessMathBench: A Mathematical Modeling Benchmark for LLMs in Wireless Communications

Jiancheng An, Mérouane Debbah, Chau Yuen, Mengbing Liu et al.
2 citations
Cooperative Communication and Network Coding
2.97
article

WirelessMathBench: A Mathematical Modeling Benchmark for LLMs in Wireless Communications

Jiancheng An, Mérouane Debbah, Chau Yuen, Mengbing Liu, Li Wei, Li Xin
article en
2 citations

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-theart research papers, encompassing a diverse spectrum of tasks ranging from basic multiplechoice 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 WirelessMath-Bench 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.Benchmark

National Research Foundation, National Research Foundation Singapore, Info-communications Media Development Authority
Openalex Percentile: Top 8%
Cooperative Communication and Network Coding
2.97
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