Title
Low distortion embeddings for edit distance
Abstract
We show that {0, 1}d endowed with edit distance embeds into ℓ1 with distortion 2O(&sqrt;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.
Year
DOI
Venue
2007
10.1145/1284320.1284322
J. ACM
Keywords
Field
DocType
nearest neighbor search,previous bound,yield solution,distance embeds,dimension reduction,metric embeddings,computations on discrete structures,efficient implementation,various computational problem,sketching,low distortion embeddings,levenshtein distance,log log,communication complexity,pattern matching,edit distance
Edit distance,Discrete mathematics,Combinatorics,Embedding,Dimensionality reduction,Computer science,Levenshtein distance,Communication complexity,Pattern matching,Distortion,Nearest neighbor search
Journal
Volume
Issue
ISSN
54
5
0004-5411
ISBN
Citations 
PageRank 
1-58113-960-8
43
2.20
References 
Authors
13
2
Name
Order
Citations
PageRank
Rafail Ostrovsky18743588.15
Yuval Rabani22265274.98