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Wolfram Language & System Documentation Center
EditDistance
  • See Also
    • DamerauLevenshteinDistance
    • HammingDistance
    • SmithWatermanSimilarity
    • StringCount
    • JaccardDissimilarity
    • Nearest
    • CentralFeature
    • BioSequence
    • DiffAlignmentMethod
  • Related Guides
    • Distance and Similarity Measures
    • Natural Language Processing
    • Sequence Alignment & Comparison
    • String Manipulation
    • Scientific Data Analysis
    • Text Analysis
    • Discrete & Integer Data
    • Biomolecular Sequences
  • Tech Notes
    • Partitioning Data into Clusters
    • See Also
      • DamerauLevenshteinDistance
      • HammingDistance
      • SmithWatermanSimilarity
      • StringCount
      • JaccardDissimilarity
      • Nearest
      • CentralFeature
      • BioSequence
      • DiffAlignmentMethod
    • Related Guides
      • Distance and Similarity Measures
      • Natural Language Processing
      • Sequence Alignment & Comparison
      • String Manipulation
      • Scientific Data Analysis
      • Text Analysis
      • Discrete & Integer Data
      • Biomolecular Sequences
    • Tech Notes
      • Partitioning Data into Clusters

EditDistance[u,v]

gives the edit or Levenshtein distance between strings, vectors or biomolecular sequences u and v.

Details and Options
Details and Options Details and Options
Examples  
Basic Examples  
Scope  
Options  
IgnoreCase  
Applications  
Properties & Relations  
See Also
Tech Notes
Related Guides
Related Links
History
Cite this Page
BUILT-IN SYMBOL
  • See Also
    • DamerauLevenshteinDistance
    • HammingDistance
    • SmithWatermanSimilarity
    • StringCount
    • JaccardDissimilarity
    • Nearest
    • CentralFeature
    • BioSequence
    • DiffAlignmentMethod
  • Related Guides
    • Distance and Similarity Measures
    • Natural Language Processing
    • Sequence Alignment & Comparison
    • String Manipulation
    • Scientific Data Analysis
    • Text Analysis
    • Discrete & Integer Data
    • Biomolecular Sequences
  • Tech Notes
    • Partitioning Data into Clusters
    • See Also
      • DamerauLevenshteinDistance
      • HammingDistance
      • SmithWatermanSimilarity
      • StringCount
      • JaccardDissimilarity
      • Nearest
      • CentralFeature
      • BioSequence
      • DiffAlignmentMethod
    • Related Guides
      • Distance and Similarity Measures
      • Natural Language Processing
      • Sequence Alignment & Comparison
      • String Manipulation
      • Scientific Data Analysis
      • Text Analysis
      • Discrete & Integer Data
      • Biomolecular Sequences
    • Tech Notes
      • Partitioning Data into Clusters

EditDistance

EditDistance[u,v]

gives the edit or Levenshtein distance between strings, vectors or biomolecular sequences u and v.

Details and Options

  • EditDistance[u,v] gives the number of one-element deletions, insertions, and substitutions required to transform u to v.
  • For strings, setting the option IgnoreCase->True makes EditDistance treat lower‐ and upper‐case letters as equivalent.

Examples

open all close all

Basic Examples  (3)

Edit distance between two strings:

Edit distance between two vectors:

Edit distance between biomolecular sequences:

Scope  (2)

Compute distance between strings of unequal length:

Compute distance between vectors of any length:

Options  (1)

IgnoreCase  (1)

Obtain edit distance ignoring case of letters:

Applications  (2)

Cluster string data using edit distance:

Cluster numeric data using edit distance:

Properties & Relations  (2)

EditDistance is less than or equal to HammingDistance for strings of equal length:

EditDistance is less than or equal to HammingDistance for vectors of equal length:

See Also

DamerauLevenshteinDistance  HammingDistance  SmithWatermanSimilarity  StringCount  JaccardDissimilarity  Nearest  CentralFeature  BioSequence  DiffAlignmentMethod

Tech Notes

    ▪
  • Partitioning Data into Clusters

Related Guides

    ▪
  • Distance and Similarity Measures
  • ▪
  • Natural Language Processing
  • ▪
  • Sequence Alignment & Comparison
  • ▪
  • String Manipulation
  • ▪
  • Scientific Data Analysis
  • ▪
  • Text Analysis
  • ▪
  • Discrete & Integer Data
  • ▪
  • Biomolecular Sequences

Related Links

  • An Elementary Introduction to the Wolfram Language : Machine Learning

History

Introduced in 2007 (6.0) | Updated in 2020 (12.2)

Wolfram Research (2007), EditDistance, Wolfram Language function, https://reference.wolfram.com/language/ref/EditDistance.html (updated 2020).

Text

Wolfram Research (2007), EditDistance, Wolfram Language function, https://reference.wolfram.com/language/ref/EditDistance.html (updated 2020).

CMS

Wolfram Language. 2007. "EditDistance." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2020. https://reference.wolfram.com/language/ref/EditDistance.html.

APA

Wolfram Language. (2007). EditDistance. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/EditDistance.html

BibTeX

@misc{reference.wolfram_2025_editdistance, author="Wolfram Research", title="{EditDistance}", year="2020", howpublished="\url{https://reference.wolfram.com/language/ref/EditDistance.html}", note=[Accessed: 01-December-2025]}

BibLaTeX

@online{reference.wolfram_2025_editdistance, organization={Wolfram Research}, title={EditDistance}, year={2020}, url={https://reference.wolfram.com/language/ref/EditDistance.html}, note=[Accessed: 01-December-2025]}

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