Journal of Data Analysis and Information Processing

Volume 3, Issue 4 (November 2015)

ISSN Print: 2327-7211   ISSN Online: 2327-7203

Google-based Impact Factor: 1.59  Citations  

Probabilistic, Statistical and Algorithmic Aspects of the Similarity of Texts and Application to Gospels Comparison

HTML  XML Download Download as PDF (Size: 382KB)  PP. 112-127  
DOI: 10.4236/jdaip.2015.34012    3,553 Downloads   4,345 Views  Citations
Author(s)

ABSTRACT

The fundamental problem of similarity studies, in the frame of data-mining, is to examine and detect similar items in articles, papers, and books with huge sizes. In this paper, we are interested in the probabilistic, and the statistical and the algorithmic aspects in studies of texts. We will be using the approach of k-shinglings, a k-shingling being defined as a sequence of k consecutive characters that are extracted from a text (k ≥ 1). The main stake in this field is to find accurate and quick algorithms to compute the similarity in short times. This will be achieved in using approximation methods. The first approximation method is statistical and, is based on the theorem of Glivenko-Cantelli. The second is the banding technique. And the third concerns a modification of the algorithm proposed by Rajaraman et al. ([1]), denoted here as (RUM). The Jaccard index is the one being used in this paper. We finally illustrate these results of the paper on the four Gospels. The results are very conclusive.

Share and Cite:

Dembele, S. and Lo, G. (2015) Probabilistic, Statistical and Algorithmic Aspects of the Similarity of Texts and Application to Gospels Comparison. Journal of Data Analysis and Information Processing, 3, 112-127. doi: 10.4236/jdaip.2015.34012.

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.