Mathematical formula information retrieval system

IF 0.5 Q4 ENGINEERING, MULTIDISCIPLINARY Journal of Computational Methods in Sciences and Engineering Pub Date : 2023-12-15 DOI:10.3233/jcm-226961

Yong Hou

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Abstract

Design and implementation of the system for retrieving information about mathematical formulas – MFIRS. The structure of the system is mainly divided into the modules: input normalization, mathematical formula unification, mathematical formula encoding, text information feature extraction, mathematical formula feature extraction, mathematical formula indexing, retrieval and ranking. A method for extracting mathematical formulas and keywords based on FastText word embedding technology is proposed. This method can be used not only to get the structural features of the formula, but also to facilitate the calculation of the similarity of the formula by the vector result. At the same time, the model introduces the semantic features of context-rich mathematical formulas to improve the domain correlation of search results. The MathRetEval dataset was created based on about 7.9 × 105 arXiv documents and about 1.5 × 108 mathematical formulas. The scalability of the system is verified using this data set. The mathematical formulas can be written in the language TEX or MathML. When queried in the TEX language, it can be converted to a tree representation of the MathML representation and then indexed. This MFIRS is an information retrieval system for mathematical formulas with the features of mathematical perception, which can use the search for the similarity of partial formulas.

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数学公式信息检索系统

设计并实现数学公式信息检索系统--MFIRS。系统结构主要分为输入规范化、数学公式统一、数学公式编码、文本信息特征提取、数学公式特征提取、数学公式索引、检索和排序等模块。提出了一种基于 FastText 字嵌入技术的数学公式和关键词提取方法。该方法不仅可以用于获取公式的结构特征，还便于通过向量结果计算公式的相似度。同时，该模型引入了语境丰富的数学公式的语义特征，以提高搜索结果的领域相关性。MathRetEval 数据集是基于约 7.9 × 105 个 arXiv 文档和约 1.5 × 108 个数学公式创建的。该数据集验证了系统的可扩展性。数学公式可以用 TEX 或 MathML 语言编写。用 TEX 语言查询时，可将其转换为 MathML 表示法的树形表示法，然后编制索引。该 MFIRS 是一个具有数学感知特征的数学公式信息检索系统，可以利用部分公式的相似性进行检索。

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来源期刊

Journal of Computational Methods in Sciences and Engineering ENGINEERING, MULTIDISCIPLINARY-

CiteScore

0.80

自引率

0.00%

发文量

152

期刊介绍： The major goal of the Journal of Computational Methods in Sciences and Engineering (JCMSE) is the publication of new research results on computational methods in sciences and engineering. Common experience had taught us that computational methods originally developed in a given basic science, e.g. physics, can be of paramount importance to other neighboring sciences, e.g. chemistry, as well as to engineering or technology and, in turn, to society as a whole. This undoubtedly beneficial practice of interdisciplinary interactions will be continuously and systematically encouraged by the JCMSE.