Similarity detection based on document matrix model and edit distance algorithm

Artur Niewiarowski
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Abstract

This paper presents a new algorithm with an objective of analyzing the similarity measure between two text documents. Specifically, the main idea of the implemented method is based on the structure of the so-called “edit distance matrix” (similarity matrix). Elements of this matrix are filled with a formula based on Levenshtein distances between sequences of sentences. The Levenshtein distance algorithm (LDA) is used as a replacement for various implementations of stemming or lemmatization methods. Additionally, the proposed algorithm is fast, precise, and may be implemented for analyzing very large documents (e.g., books, diploma works, newspapers, etc.). Moreover, it seems to be versatile for the most common European languages such as Polish, English, German, French and Russian. The presented tool is intended for all employees and students of the university to detect the level of similarity regarding analyzed documents. Results obtained in the paper were confirmed in the tests shown in the article.
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基于文档矩阵模型和编辑距离算法的相似度检测
本文提出了一种新的文本文档相似度度量分析算法。具体来说,实现方法的主要思想是基于所谓的“编辑距离矩阵”(相似矩阵)的结构。该矩阵的元素用基于句子序列之间的Levenshtein距离的公式填充。Levenshtein距离算法(LDA)被用作替代各种词干提取或词源化方法的实现。此外,所提出的算法快速,精确,并且可以用于分析非常大的文档(例如,书籍,文凭作品,报纸等)。此外,它似乎适用于最常见的欧洲语言,如波兰语、英语、德语、法语和俄语。该工具旨在为大学的所有员工和学生检测有关分析文档的相似程度。文中得到的结果在文中所示的试验中得到了证实。
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