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ACL 2024aclfindings

MathBench: Evaluating the Theory and Application Proficiency of LLMs with a Hierarchical Mathematics Benchmark

Hongwei Liu, Zilong Zheng, Yuxuan Qiao, Haodong Duan, Zhiwei Fei, Fengzhe Zhou, Wenwei Zhang, Songyang Zhang, Dahua Lin, Kai Chen

Shanghai Artificial Intelligence Laboratory · Fudan University, Harbin Institute of Technology, Dalian University of Technology, Shanghai Jiaotong University, Shandong University, Peking University, Zhejiang University, University of Science and Technology of China, Hunan University, Beijing Institute of Technology, University of the Chinese Academy of Sciences, Southeast University, Sichuan University, Monash University, Malaysia Campus, Tianjin University, Beijing University of Aeronautics and Astronautics, Wuhan University of Technology, Yale University, Technische Universität München, Wuhan University, nanjing university, Tsinghua University and Wuhan University · Shanghai AI Laboratory · The Chinese University of Hong Kong

PDF 由论文原始站点提供,PaperCompass 不保存论文文件。DOI 10.18653/v1/2024.findings-acl.411 ↗

摘要

Recent advancements in large language models (LLMs) have showcased significant improvements in mathematics. However, traditional math benchmarks like GSM8k offer a unidimensional perspective, which fall short in providing a holistic assessment of the LLMs’ math capabilities. To address this gap, we introduce MathBench, a new benchmark that rigorously assesses the mathematical capabilities of large language models. MathBench spans a wide range of mathematical disciplines, offering a detailed evaluation of both theoretical understanding and practical problem-solving skills. The benchmark progresses through five distinct stages, from basic arithmetic to college mathematics, and is structured to evaluate models at various depths of knowledge. Each stage includes theoretical questions and application problems, allowing us to measure a model’s mathematical proficiency and its ability to apply concepts in practical scenarios. MathBench aims to enhance the evaluation of LLMs’ mathematical abilities, providing a nuanced view of their knowledge understanding levels and problem solving skills in a bilingual context.