70 search results - page 1 / 14 » Bypassing the embedding: algorithms for low dimensional metr... |
STOC
2004
ACM
15 years 5 months ago
2004
ACM
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...
CIKM
2008
Springer
14 years 6 months ago
2008
Springer
Random projection (RP) is a common technique for dimensionality reduction under L2 norm for which many significant space embedding results have been demonstrated. However, many si...
SODA
2008
ACM
14 years 6 months ago
2008
ACM
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...
FOCS
2003
IEEE
14 years 10 months ago
2003
IEEE
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...
COMPGEOM
2005
ACM
14 years 6 months ago
2005
ACM
We present a near linear time algorithm for constructing hierarchical nets in finite metric spaces with constant doubling dimension. This data-structure is then applied to obtain...