Levenshtein distance

In information theory, linguistics, and computer science, the Levenshtein distance is a string metric for measuring the difference between two sequences. The Levenshtein distance between two words is the minimum number of single-character edits (insertions, deletions or substitutions) required to change one word into the other. It is named after Soviet mathematician Vladimir Levenshtein, who defined the metric in 1965.^[1]

Levenshtein distance may also be referred to as edit distance, although that term may also denote a larger family of distance metrics known collectively as edit distance.^[2]^: 32 It is closely related to pairwise string alignments.

^ В. И. Левенштейн (1965). Двоичные коды с исправлением выпадений, вставок и замещений символов [Binary codes capable of correcting deletions, insertions, and reversals]. Доклады Академии Наук СССР (in Russian). 163 (4): 845–848. Appeared in English as: Levenshtein, Vladimir I. (February 1966). "Binary codes capable of correcting deletions, insertions, and reversals". Soviet Physics Doklady. 10 (8): 707–710. Bibcode:1966SPhD...10..707L.
^ Navarro, Gonzalo (2001). "A guided tour to approximate string matching" (PDF). ACM Computing Surveys. 33 (1): 31–88. CiteSeerX 10.1.1.452.6317. doi:10.1145/375360.375365. S2CID 207551224.

[1] В. И. Левенштейн (1965). Двоичные коды с исправлением выпадений, вставок и замещений символов [Binary codes capable of correcting deletions, insertions, and reversals]. Доклады Академии Наук СССР (in Russian). 163 (4): 845–848. Appeared in English as: Levenshtein, Vladimir I. (February 1966). "Binary codes capable of correcting deletions, insertions, and reversals". Soviet Physics Doklady. 10 (8): 707–710. Bibcode:1966SPhD...10..707L.

[navarro-2] Navarro, Gonzalo (2001). "A guided tour to approximate string matching" (PDF). ACM Computing Surveys. 33 (1): 31–88. CiteSeerX 10.1.1.452.6317. doi:10.1145/375360.375365. S2CID 207551224.

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