arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2501.02448cs.CL
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理解、求解与翻译:弥合多语言数学推理鸿沟

Understand, Solve and Translate: Bridging the Multilingual Mathematical Reasoning Gap

OneLineAI(万线智能);Yonsei University(延世大学)

Hyunwoo Ko, Guijin Son, Dasol Choi

AI总结:

本文提出UST方法,通过将英语作为推理和生成锚点,并在130k合成数据上微调,有效弥合了多语言数学推理鸿沟,在HRM8K基准上提升10.91%并大幅缩小性能差距。

摘要:

大型语言模型(LLMs)在复杂推理任务中表现出色。然而,尽管它们在高资源语言(如英语和中文)中具有强大的推理能力,但在其他语言中仍存在显著的性能差距。为了研究韩语中的这一差距,我们引入了HRM8K,这是一个包含8,011道英韩平行双语数学问题的基准。通过对模型行为的系统分析,我们得出了一个关键发现:这些性能差异主要源于对非英语输入的理解困难,而非推理能力的限制。基于这些发现,我们提出了UST(Understand, Solve, and Translate,理解、求解与翻译)方法,该方法战略性地将英语作为推理和生成解决方案的锚点。通过在130k个合成生成的数据点上对模型进行微调,UST在HRM8K基准上实现了10.91%的提升,并将多语言性能差距从11.6%缩小至0.7%。此外,我们表明UST的改进能有效地泛化到不同的韩语领域,这证明从机器可验证内容中获取的能力可以泛化到其他领域。我们公开发布了该基准、训练数据集和模型。

英文摘要:

Large language models (LLMs) demonstrate exceptional performance on complex reasoning tasks. However, despite their strong reasoning capabilities in high-resource languages (e.g., English and Chinese), a significant performance gap persists in other languages. To investigate this gap in Korean, we introduce HRM8K, a benchmark comprising 8,011 English-Korean parallel bilingual math problems. Through systematic analysis of model behaviors, we identify a key finding: these performance disparities stem primarily from difficulties in comprehending non-English inputs, rather than limitations in reasoning capabilities. Based on these findings, we propose UST (Understand, Solve, and Translate), a method that strategically uses English as an anchor for reasoning and solution generation. By fine-tuning the model on 130k synthetically generated data points, UST achieves a 10.91% improvement on the HRM8K benchmark and reduces the multilingual performance gap from 11.6% to 0.7%. Additionally, we show that improvements from UST generalize effectively to different Korean domains, demonstrating that capabilities acquired from machine-verifiable content can be generalized to other areas. We publicly release the benchmark, training dataset, and models.

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。

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