Relationship With Other Edit Distance Metrics
Levenshtein distance is not the only popular notion of edit distance. Variations can be obtained by changing the set of allowable edit operations: for instance,
- length of the longest common subsequence is the metric obtained by allowing only addition and deletion, not substitution;
- the Damerau–Levenshtein distance allows addition, deletion, substitution, and the transposition of two adjacent characters;
- the Hamming distance only allows substitution (and hence, only applies to strings of the same length).
Edit distance in general is usually defined as a parametrizable metric in which a repertoire of edit operations is available, and each operation is assigned a cost (possibly infinite). This is further generalized by DNA sequence alignment algorithms such as the Smith–Waterman algorithm, which make an operation's cost depend on where it is applied.
Read more about this topic: Levenshtein Distance
Famous quotes containing the words relationship with, relationship, edit and/or distance:
“I began to expand my personal service in the church, and to search more diligently for a closer relationship with God among my different business, professional and political interests.”
—Jimmy Carter (James Earl Carter, Jr.)
“When a mother quarrels with a daughter, she has a double dose of unhappiness—hers from the conflict, and empathy with her daughter’s from the conflict with her. Throughout her life a mother retains this special need to maintain a good relationship with her daughter.”
—Terri Apter (20th century)
“To a philosopher all news, as it is called, is gossip, and they who edit it and read it are old women over their tea.”
—Henry David Thoreau (1817–1862)
““I see nobody on the road,” said Alice.
“I only wish I had such eyes,” the King remarked in a fretful tone. “To be able to see Nobody! And at that distance too! Why, it’s as much as I can do to see real people, by this light!””
—Lewis Carroll [Charles Lutwidge Dodgson] (1832–1898)