arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2410.07985cs.CL
收藏

Omni-MATH:面向大型语言模型的通用奥林匹克级别数学基准

Omni-MATH: A Universal Olympiad Level Mathematic Benchmark For Large Language Models

Peking University(北京大学);University of Wisconsin - Madison(威斯康星大学麦迪逊分校);Shanghai Jiao Tong University(上海交通大学);The University of Hong Kong(香港大学);The Chinese University of Hong Kong, Shenzhen(香港中文大学(深圳));Institute of Software, Chinese Academy of Sciences(中国科学院软件研究所);Alibaba Group(阿里巴巴集团);University of Waterloo(滑铁卢大学);Zhongguancun Laboratory(中关村实验室);Engineering Research Center of Information Networks(信息网络工程研究中心)
Bofei Gao, Feifan Song, Zhe Yang, Zefan Cai, Yibo Miao, Qingxiu Dong, Lei Li, Chenghao Ma, Liang Chen, Runxin Xu, Zhengyang Tang, Benyou Wang, Daoguang Zan, Sha… 展开作者

Bofei Gao, Feifan Song, Zhe Yang, Zefan Cai, Yibo Miao, Qingxiu Dong, Lei Li, Chenghao Ma, Liang Chen, Runxin Xu, Zhengyang Tang, Benyou Wang, Daoguang Zan, Shanghaoran Quan, Ge Zhang, Lei Sha, Yichang Zhang, Xuancheng Ren, Tianyu Liu, Baobao Chang

AI总结:

针对现有数学基准不足以挑战大模型的问题,提出专注数学的奥林匹克级别基准Omni-MATH,包含4428道带标注的竞赛级问题,实验表明最先进的模型在此基准上仍面临重大挑战。

摘要:

大型语言模型(LLMs)的最新进展在数学推理能力上取得了重大突破。然而,现有的基准如GSM8K或MATH现在已被高准确率解决(例如,OpenAI o1在MATH数据集上达到94.8%),表明它们不足以真正挑战这些模型。为弥补这一差距,我们提出了一个全面且具挑战性的基准,专门设计用于评估LLMs在奥林匹克级别的数学推理能力。与现有的奥林匹克相关基准不同,我们的数据集专注于数学,并包含大量4428道竞赛级问题,且带有严格的人工标注。这些问题被精心划分为超过33个子领域,并跨越超过10个不同的难度级别,从而能够对模型在奥林匹克数学推理中的表现进行全面评估。此外,我们基于该基准进行了深入分析。实验结果表明,即使是最先进的模型OpenAI o1-mini和OpenAI o1-preview,在处理极具挑战性的奥林匹克级别问题时也显得吃力,准确率分别为60.54%和52.55%,突显了奥林匹克级别数学推理面临的重大挑战。

英文摘要:

Recent advancements in large language models (LLMs) have led to significant breakthroughs in mathematical reasoning capabilities. However, existing benchmarks like GSM8K or MATH are now being solved with high accuracy (e.g., OpenAI o1 achieves 94.8\% on MATH dataset), indicating their inadequacy for truly challenging these models. To bridge this gap, we propose a comprehensive and challenging benchmark specifically designed to assess LLMs' mathematical reasoning at the Olympiad level. Unlike existing Olympiad-related benchmarks, our dataset focuses exclusively on mathematics and comprises a vast collection of 4428 competition-level problems with rigorous human annotation. These problems are meticulously categorized into over 33 sub-domains and span more than 10 distinct difficulty levels, enabling a holistic assessment of model performance in Olympiad-mathematical reasoning. Furthermore, we conducted an in-depth analysis based on this benchmark. Our experimental results show that even the most advanced models, OpenAI o1-mini and OpenAI o1-preview, struggle with highly challenging Olympiad-level problems, with 60.54\% and 52.55\% accuracy, highlighting significant challenges in Olympiad-level mathematical reasoning.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑