Clarifying Questions in Math Information Retrieval

Behrooz Mansouri, Zahra Jahedibashiz
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Abstract

One of the challenges of math information retrieval is the inherent ambiguity of mathematical notation. The use of various notations, symbols, and conventions can lead to ambiguities in math search queries, potentially causing confusion and errors. Therefore, asking clarifying questions in math search can help remove these ambiguities. Despite advances in incorporating clarifying questions for search, little is currently understood about the characteristics of these questions in math. This paper investigates math clarifying questions asked on the MathStackExchange community question answering platform, analyzing a total of 495,431 clarifying questions and their usefulness. The results of the analysis uncover specific patterns in useful clarifying questions that provide insight into the design considerations for future conversational math search systems. The formulae used in clarifying questions are closely related to those in the initial queries and are accompanied by common phrases, seeking for the missing information related to the formulae. Additionally, experiments utilizing clarifying questions for math search demonstrate the potential benefits of incorporating them alongside the original query.
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澄清数学信息检索中的问题
数学信息检索面临的挑战之一是数学符号固有的模糊性。使用各种记号、符号和约定可能导致数学搜索查询中的歧义,从而可能导致混淆和错误。因此,在数学搜索中提出澄清性问题可以帮助消除这些歧义。尽管在将澄清问题纳入搜索方面取得了进展,但目前对数学中这些问题的特征知之甚少。本文调查了MathStackExchange社区问答平台上提出的数学澄清问题,分析了495,431个澄清问题及其有用性。分析的结果揭示了有用的澄清问题中的特定模式,这些问题为未来会话式数学搜索系统的设计考虑提供了见解。澄清问题时使用的公式与最初的问题密切相关,并附有常用短语,以寻找与公式相关的缺失信息。此外,在数学搜索中使用澄清问题的实验证明了将它们与原始查询合并在一起的潜在好处。
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