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arXiv · 1801.07013

Sequence Covering Similarity for Symbolic Sequence Comparison

Pierre-François Marteau
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Abstract

This paper introduces the sequence covering similarity, that we formally define for evaluating the similarity between a symbolic sequence (string) and a set of symbolic sequences (strings). From this covering similarity we derive a pair-wise distance to compare two symbolic sequences. We show that this covering distance is a semimetric. Few examples are given to show how this string metric in $O(n \cdot log n)$ compares with the Levenshtein's distance that is in $O(n^2)$. A final example presents its application to plagiarism detection.

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Pierre-François Marteau. 2018-01-22. Sequence Covering Similarity for Symbolic Sequence Comparison. https://arxiv.org/abs/1801.07013

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