Low distortion embeddings for edit distance

Rafail Ostrovsky*, Yuval Rabani

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

25 Scopus citations


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.

Original languageAmerican English
Pages (from-to)218-224
Number of pages7
JournalProceedings of the Annual ACM Symposium on Theory of Computing
StatePublished - 2005
Externally publishedYes
Event13th Color Imaging Conference: Color Science, Systems, Technologies, and Applications - Scottsdale, AZ, United States
Duration: 7 Nov 200511 Nov 2005


  • Edit distance
  • Low distortion embeddings
  • Metric spaces


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