Fast computation of normalized edit distances
Identifieur interne : 002C04 ( Main/Exploration ); précédent : 002C03; suivant : 002C05Fast computation of normalized edit distances
Auteurs : E. Vidal ; A. Marzal ; P. AibarSource :
- IEEE Transactions on Pattern Analysis and Machine Intelligence [ 0162-8828 ] ; 1995.
Descripteurs français
- Pascal (Inist)
English descriptors
- KwdEn :
- Algorithms, Application, Calculations, Character recognition, Computational complexity, Fast algorithms, Fractional programming, Levenslatein distance, Normalized edit distance, Optical character recognition, Optimization, Pattern recognition, Speech recognition, Spelling correction, String correction, Theory.
Abstract
The Normalized Edit Distance (NED) between two strings X and Y is defined as the minimum quotient between the sum of weights of the edit operations required to transform X into Y and the length of the editing path corresponding to these operations. An algorithm for computing the NED has recently been introduced by Marzal and Vidal that exhibits O(mn2) computing complexity, where m and n are the lengths of X and Y. We propose here an algorithm that is observed to require in practice the same O(mn) computing resources as the conventional unnormalized Edit Distance algorithm does. The performance of this algorithm is illustrated through computational experiments with synthetic data, as well as with real data consisting of OCR chain-coded strings.
Affiliations:
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- to stream PascalFrancis, to step Curation: 000953
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Le document en format XML
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<term>Character recognition</term>
<term>Computational complexity</term>
<term>Fast algorithms</term>
<term>Fractional programming</term>
<term>Levenslatein distance</term>
<term>Normalized edit distance</term>
<term>Optical character recognition</term>
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<front><div type="abstract" xml:lang="en">The Normalized Edit Distance (NED) between two strings X and Y is defined as the minimum quotient between the sum of weights of the edit operations required to transform X into Y and the length of the editing path corresponding to these operations. An algorithm for computing the NED has recently been introduced by Marzal and Vidal that exhibits O(mn<sup>2</sup>
) computing complexity, where m and n are the lengths of X and Y. We propose here an algorithm that is observed to require in practice the same O(mn) computing resources as the conventional unnormalized Edit Distance algorithm does. The performance of this algorithm is illustrated through computational experiments with synthetic data, as well as with real data consisting of OCR chain-coded strings.</div>
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