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» Ultra-low-dimensional embeddings for doubling metrics
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FOCS
2004
IEEE
13 years 8 months ago
Triangulation and Embedding Using Small Sets of Beacons
Concurrent with recent theoretical interest in the problem of metric embedding, a growing body of research in the networking community has studied the distance matrix defined by n...
Jon M. Kleinberg, Aleksandrs Slivkins, Tom Wexler
APPROX
2009
Springer
96views Algorithms» more  APPROX 2009»
13 years 11 months ago
On the Optimality of Gluing over Scales
We show that for every α > 0, there exist n-point metric spaces (X, d) where every “scale” admits a Euclidean embedding with distortion at most α, but the whole space req...
Alexander Jaffe, James R. Lee, Mohammad Moharrami