Low distortion embeddings for edit distance

Rafail Ostrovsky; Yuval Rabani

doi:10.1145/1060590.1060623

Low distortion embeddings for edit distance

Rafail Ostrovsky^*, Yuval Rabani

^*Corresponding author for this work

Research output: Contribution to journal › Conference article › peer-review

25 Scopus citations

Abstract

We show that {0, 1}^d endowed with edit distance embeds into ℓ₁ with distortion 2^{O(√log d log log d)}. We further show efficient implementations 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
Pages (from-to)	218-224
Number of pages	7
Journal	Proceedings of the Annual ACM Symposium on Theory of Computing
DOIs	https://doi.org/10.1145/1060590.1060623
State	Published - 2005
Externally published	Yes
Event	13th Color Imaging Conference: Color Science, Systems, Technologies, and Applications - Scottsdale, AZ, United States Duration: 7 Nov 2005 → 11 Nov 2005

Keywords

Edit distance
Low distortion embeddings
Metric spaces

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10.1145/1060590.1060623

Cite this

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abstract = "We show that {0, 1}d endowed with edit distance embeds into ℓ1 with distortion 2O(√log d log log d). We further show efficient implementations 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.",

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journal = "Proceedings of the Annual ACM Symposium on Theory of Computing",

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AB - We show that {0, 1}d endowed with edit distance embeds into ℓ1 with distortion 2O(√log d log log d). We further show efficient implementations 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.

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KW - Metric spaces

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T2 - 13th Color Imaging Conference: Color Science, Systems, Technologies, and Applications

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Low distortion embeddings for edit distance

Abstract

Keywords

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