Approximating Edit Distance within Constant Factor in Truly Sub-Quadratic Time

Edit distance is a measure of similarity of two strings based on the minimum number of character insertions, deletions, and substitutions required to transform one string into the other. The edit distance can be computed exactly using a dynamic programming algorithm that runs in quadratic time. Ando...

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Bibliographic Details
Published in:2018 IEEE 59th Annual Symposium on Foundations of Computer Science (FOCS) pp. 979 - 990
Main Authors: Chakraborty, Diptarka, Das, Debarati, Goldenberg, Elazar, Koucky, Michal, Saks, Michael
Format: Conference Proceeding
Language:English
Published: IEEE 01.10.2018
Subjects:
Approximation algorithm
Approximation algorithms
Computer science
Dynamic programming
Edit distance
Heuristic algorithms
Indexes
Randomized algorithm
Runtime
Sub quadratic time algorithm
Upper bound
ISSN:2575-8454
Online Access:Get full text
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Summary:Edit distance is a measure of similarity of two strings based on the minimum number of character insertions, deletions, and substitutions required to transform one string into the other. The edit distance can be computed exactly using a dynamic programming algorithm that runs in quadratic time. Andoni, Krauthgamer and Onak (2010) gave a nearly linear time algorithm that approximates edit distance within approximation factor poly(log n). In this paper, we provide an algorithm with running time Õ(n^2-2/7) that approximates the edit distance within a constant factor.
ISSN:2575-8454
DOI:10.1109/FOCS.2018.00096