WikiMirs 3.0: A Hybrid MIR System Based on the Context, Structure and Importance of Formulae in a Document

Yuehan Wang, Liangcai Gao, Simeng Wang, Zhi Tang, Xiaozhong Liu, Ke Yuan
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引用次数: 24

Abstract

Nowadays, mathematical information is increasingly available in websites and repositories, such like ArXiv, Wikipedia and growing numbers of digital libraries. Mathematical formulae are highly structured and usually presented in layout presentations, such as PDF, LATEX and Presentation MathML. The differences of presentation between text and formulae challenge traditional text-based index and retrieval methods. To address the challenge, this paper proposes an upgraded Mathematical Information Retrieval (MIR) system, namely WikiMirs 3.0, based on the context, structure and importance of formulae in a document. In WikiMirs 3.0, users can easily "cut" formulae and contexts from PDF documents as well as type in queries. Furthermore, a novel hybrid indexing and matching model is proposed to support both exact and fuzzy matching. In the hybrid model, both context and structure information of formulae are taken into consideration. In addition, the concept of formula importance within a document is introduced into the model for more reasonable ranking. Experimental results, compared with two classical MIR systems, demonstrate that the proposed system along with the novel model provides higher accuracy and better ranking results over Wikipedia.
WikiMirs 3.0:基于文档中公式的上下文、结构和重要性的混合MIR系统
如今,数学信息越来越多地出现在网站和存储库中,比如ArXiv、维基百科和越来越多的数字图书馆。数学公式是高度结构化的,通常以布局表示形式呈现,例如PDF、LATEX和Presentation MathML。文本和公式表达的差异对传统的基于文本的索引和检索方法提出了挑战。为了解决这一挑战,本文提出了一种基于上下文、结构和文档中公式重要性的数学信息检索(MIR)系统,即WikiMirs 3.0。在WikiMirs 3.0中,用户可以很容易地从PDF文档中“剪切”公式和上下文,也可以输入查询。在此基础上,提出了一种新的混合索引和匹配模型,以支持精确和模糊匹配。混合模型同时考虑了公式的上下文信息和结构信息。此外,在模型中引入了文档内公式重要性的概念,使排序更加合理。实验结果与两种经典的MIR系统进行了比较,结果表明,本文提出的系统和新模型比Wikipedia提供了更高的准确率和更好的排名结果。
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