5 search results - page 1 / 1 » Low-distortion embeddings of general metrics into the line |
STOC
2005
ACM
14 years 4 months ago
2005
ACM
A low-distortion embedding between two metric spaces is a mapping which preserves the distances between each pair of points, up to a small factor called distortion. Low-distortion...
FOCS
2003
IEEE
13 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...
FOCS
2005
IEEE
13 years 10 months ago
2005
IEEE
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...
ECRTS
2009
IEEE
13 years 2 months ago
2009
IEEE
Performing QoS (Quality of Service) control in large computing systems requires an on line metric that is representative of the real state of the system. The Tardiness Quantile Me...
IPL
2008
13 years 4 months ago
2008
In this paper, we show how we can derive lower bounds and also compute the exact distortion for the line embeddings of some special metrics, especially trees and graphs with certai...