Surprises in approximating Levenshtein distances

Details Surprises in approximating Levenshtein distances Surprises in approximating Levenshtein distances

2006-01-06

arxiv.org/abs/q-bio/0601006v2

Journal of Theoretical Biology 243 (2006) 279-282

Biology

Quantitative Biology

Quantitative Methods

7 pages, 4 figures; revised version

Scientific paper

10.1016/j.jtbi.2006.06.026

The Levenshtein distance is an important tool for the comparison of symbolic sequences, with many appearances in genome research, linguistics and other areas. For efficient applications, an approximation by a distance of smaller computational complexity is highly desirable. However, our comparison of the Levenshtein with a generic dictionary-based distance indicates their statistical independence. This suggests that a simplification along this line might not be possible without restricting the class of sequences. Several other probabilistic properties are briefly discussed, emphasizing various questions that deserve further investigation.

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