Work

Pivot Selection for Median String Problem

Year: 2019
Type: conference-paper
Abstract: The Median String Problem is W[1]-Hard under the Levenshtein distance, thus, approximation heuristics are used. Perturbation-based heuristics have been proved to be very competitive as regards the ratio approximation accuracy/convergence speed. However, the computational burden increase with the size of the set. In this paper, we explore the idea of reducing the size of the problem by selecting a subset of representative elements, i.e. pivots, that are used to compute the approximate median instead of the whole set. We aim to reduce the computation time through a reduction of the problem size while achieving similar approximation accuracy. We explain how we find those pivots and how to compute the median string from them. Results on commonly used test data suggest that our approach can reduce the computational requirements (measured in computed edit distances) by 8% with approximation accuracy as good as the state of the art heuristic.
Authors: Pedro Mirabal, Jose Abreu, Oscar Pedreira
Language: English
Open Access status: green
OpenAlex ID: W3000759848
FWCI: 0.287
Cites: 26
Cited by: 3
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