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Fast computation of normalized edit distances

Identifieur interne : 000A46 ( PascalFrancis/Corpus ); précédent : 000A45; suivant : 000A47

Fast computation of normalized edit distances

Auteurs : E. Vidal ; A. Marzal ; P. Aibar

Source :

RBID : Pascal:95-0527486

Descripteurs français

English descriptors

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.

Notice en format standard (ISO 2709)

Pour connaître la documentation sur le format Inist Standard.

pA  
A01 01  1    @0 0162-8828
A02 01      @0 ITPIDJ
A03   1    @0 IEEE Trans Pattern Anal Mach Intell
A05       @2 17
A06       @2 9
A08 01  1  ENG  @1 Fast computation of normalized edit distances
A11 01  1    @1 VIDAL (E.)
A11 02  1    @1 MARZAL (A.)
A11 03  1    @1 AIBAR (P.)
A14 01      @1 Universidad Politecnica de Valencia @3 INC @Z 1 aut.
A20       @1 899-902
A21       @1 1995
A23 01      @0 ENG
A43 01      @1 INIST @2 222 T
A44       @0 A100
A45       @0 12 Refs.
A47 01  1    @0 95-0527486
A60       @1 P
A61       @0 A
A64 01  1    @0 IEEE Transactions on Pattern Analysis and Machine Intelligence
A66 01      @0 USA
C01 01    ENG  @0 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.
C02 01  1    @0 001D02C
C02 02  1    @0 001D02A
C02 03  1    @0 001D01A
C02 04  1    @0 001A02I01
C03 01  1  ENG  @0 Normalized edit distance @4 INC
C03 02  1  ENG  @0 Levenslatein distance @4 INC
C03 03  1  ENG  @0 String correction @4 INC
C03 04  1  ENG  @0 Spelling correction @4 INC
C03 05  1  ENG  @0 Fractional programming @4 INC
C03 06  1  ENG  @0 Fast algorithms @4 INC
C03 07  X  FRE  @0 Application
C03 07  X  ENG  @0 Application
C03 07  X  GER  @0 Anwendung
C03 07  X  SPA  @0 Aplicación
C03 08  1  FRE  @0 Reconnaissance forme
C03 08  1  ENG  @0 Pattern recognition
C03 09  1  FRE  @0 Reconnaissance caractère
C03 09  1  ENG  @0 Character recognition
C03 10  1  FRE  @0 Reconnaissance parole
C03 10  1  ENG  @0 Speech recognition
C03 11  1  FRE  @0 Complexité calcul
C03 11  1  ENG  @0 Computational complexity
C03 12  1  FRE  @0 Optimisation
C03 12  1  ENG  @0 Optimization
C03 13  1  FRE  @0 Calcul
C03 13  1  ENG  @0 Calculations
C03 14  1  FRE  @0 Reconnaissance optique caractère
C03 14  1  ENG  @0 Optical character recognition
C03 15  1  FRE  @0 Algorithme @3 P
C03 15  1  ENG  @0 Algorithms @3 P
C03 16  1  FRE  @0 Théorie
C03 16  1  ENG  @0 Theory
N21       @1 302

Format Inist (serveur)

NO : PASCAL 95-0527486 EI
ET : Fast computation of normalized edit distances
AU : VIDAL (E.); MARZAL (A.); AIBAR (P.)
AF : Universidad Politecnica de Valencia/Inconnu (1 aut.)
DT : Publication en série; Niveau analytique
SO : IEEE Transactions on Pattern Analysis and Machine Intelligence; ISSN 0162-8828; Coden ITPIDJ; Etats-Unis; Da. 1995; Vol. 17; No. 9; Pp. 899-902; Bibl. 12 Refs.
LA : Anglais
EA : 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.
CC : 001D02C; 001D02A; 001D01A; 001A02I01
FD : Application; Reconnaissance forme; Reconnaissance caractère; Reconnaissance parole; Complexité calcul; Optimisation; Calcul; Reconnaissance optique caractère; Algorithme; Théorie
ED : Normalized edit distance; Levenslatein distance; String correction; Spelling correction; Fractional programming; Fast algorithms; Application; Pattern recognition; Character recognition; Speech recognition; Computational complexity; Optimization; Calculations; Optical character recognition; Algorithms; Theory
GD : Anwendung
SD : Aplicación
LO : INIST-222 T
ID : 95-0527486

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Pascal:95-0527486

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<sup>2</sup>
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<sup>2</sup>
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