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» Ultra-low-dimensional embeddings for doubling metrics
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FOCS
2003
IEEE
13 years 9 months ago
Bounded Geometries, Fractals, and Low-Distortion Embeddings
The doubling constant of a metric space (X, d) is the smallest value λ such that every ball in X can be covered by λ balls of half the radius. The doubling dimension of X is the...
Anupam Gupta, Robert Krauthgamer, James R. Lee
SODA
2008
ACM
125views Algorithms» more  SODA 2008»
13 years 5 months ago
Ultra-low-dimensional embeddings for doubling metrics
We consider the problem of embedding a metric into low-dimensional Euclidean space. The classical theorems of Bourgain, and of Johnson and Lindenstrauss say that any metric on n p...
T.-H. Hubert Chan, Anupam Gupta, Kunal Talwar
STOC
2004
ACM
126views Algorithms» more  STOC 2004»
14 years 4 months ago
Bypassing the embedding: algorithms for low dimensional metrics
The doubling dimension of a metric is the smallest k such that any ball of radius 2r can be covered using 2k balls of raThis concept for abstract metrics has been proposed as a na...
Kunal Talwar
DMIN
2009
142views Data Mining» more  DMIN 2009»
13 years 2 months ago
Efficient Record Linkage using a Double Embedding Scheme
Record linkage is the problem of identifying similar records across different data sources. The similarity between two records is defined based on domain-specific similarity functi...
Noha Adly
FOCS
2005
IEEE
13 years 10 months ago
Metric Embeddings with Relaxed Guarantees
We consider the problem of embedding finite metrics with slack: we seek to produce embeddings with small dimension and distortion while allowing a (small) constant fraction of al...
Ittai Abraham, Yair Bartal, Hubert T.-H. Chan, Ked...