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, edit and/or distance:
“Most childhood problems don’t result from “bad” parenting, but are the inevitable result of the growing that parents and children do together. The point isn’t to head off these problems or find ways around them, but rather to work through them together and in doing so to develop a relationship of mutual trust to rely on when the next problem comes along.”
—Fred Rogers (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)
“By sharing the information and observations with the caregiver, you have a chance to see your child through another pair of eyes. Because she has some distance and objectivity, a caregiver often sees things that a parent’s total involvement with her child doesn’t allow.”
—Amy Laura Dombro (20th century)