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  • Informatics Colloquium 2.4. Approximating edit distance within constant factor in sub-quadratic time

    Informatics Colloquium 2. 4. 2019, 14:00 lecture hall D2 prof. Mgr. Michal Koucký, Ph.D., MFF UK Approximating edit distance within constant factor in sub-quadratic time Abstract: 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. It has numerous applications in various fields. 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 talk I will present an algorithm with running time O(n^{2-2/7}) that approximates the edit distance within a constant factor.

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