Low distortion embeddings for edit distance

Rafail Ostrovsky; Yuval Rabani

doi:10.1145/1284320.1284322

Low distortion embeddings for edit distance

Rafail Ostrovsky^*, Yuval Rabani

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

81 Scopus citations

Abstract

We show that {0, 1} ^d endowed with edit distance embeds into ℓ ₁ with distortion 2 ^O(log d log log d). We further show efficient implementation of the embedding that yield solutions to various computational problems involving edit distance. These include sketching, communication complexity, nearest neighbor search. For all these problems, we improve upon previous bounds.

Original language	English
Article number	23
Journal	Journal of the ACM
Volume	54
Issue number	5
DOIs	https://doi.org/10.1145/1284320.1284322
State	Published - 1 Oct 2007
Externally published	Yes

Keywords

Communication complexity
Computations on discrete structures
Dimension reduction
Edit distance
Levenshtein distance
Metric embeddings
Nearest neighbor search
Pattern matching
Sketching

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10.1145/1284320.1284322

Cite this

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KW - Levenshtein distance

KW - Metric embeddings

KW - Nearest neighbor search

KW - Pattern matching

KW - Sketching

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Low distortion embeddings for edit distance

Abstract

Keywords

Access to Document

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