测试大模型基本数学能力,发现其数字理解普遍薄弱
Exposing Numeracy Gaps: A Benchmark to Evaluate Fundamental Numerical Abilities in Large Language Models
- 构建六项基础数理能力评测集,覆盖识别、计算、比较等场景
- 实测GPT-4等主流模型在长文本与噪声数据中表现差,准确率低于60%
- 适合研究模型认知缺陷或提升数学推理能力的开发者参考
大型语言模型在自然语言处理任务中表现出色,但在基础算术、数值检索和数量比较等数值推理任务中表现仍令人惊讶地不佳。这一差距源于模型依赖表面统计模式,而非将数字视为连续量。现有评测主要聚焦语言能力或结构化数学解题,忽视真实场景中的基础数值推理需求。为此,我们提出NumericBench,一个涵盖六种基础数值能力的综合性评测基准:数字识别、算术运算、上下文检索、比较、摘要和逻辑推理。数据集包含从合成数字列表到真实网络爬取数据,涵盖长上下文、噪声和多步推理等挑战。对GPT-4、DeepSeek等前沿模型的广泛实验揭示其在数值推理上的持续弱点,凸显亟需提升模型的数值感知能力。该基准已开源:https://github.com/TreeAI-Lab/NumericBench。
原文摘要 · Abstract (English)
Large Language Models (LLMs) have demonstrated impressive capabilities in natural language processing tasks, such as text generation and semantic understanding. However, their performance on numerical reasoning tasks, such as basic arithmetic, numerical retrieval, and magnitude comparison, remains surprisingly poor. This gap arises from their reliance on surface-level statistical patterns rather than understanding numbers as continuous magnitudes. Existing benchmarks primarily focus on either linguistic competence or structured mathematical problem-solving, neglecting fundamental numerical reasoning required in real-world scenarios. To bridge this gap, we propose NumericBench, a comprehensive benchmark to evaluate six fundamental numerical capabilities: number recognition, arithmetic operations, contextual retrieval, comparison, summary, and logical reasoning. NumericBench includes datasets ranging from synthetic number lists to the crawled real-world data, addressing challenges like long contexts, noise, and multi-step reasoning. Extensive experiments on state-of-the-art LLMs, including GPT-4 and DeepSeek, reveal persistent weaknesses in numerical reasoning, highlighting the urgent need to improve numerically-aware language modeling. The benchmark is released in: https://github.com/TreeAI-Lab/NumericBench.
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