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» Some Results on Greedy Embeddings in Metric Spaces
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SODA
2008
ACM
125views Algorithms» more  SODA 2008»
14 years 10 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
CVPR
2010
IEEE
15 years 22 days ago
Metric-Induced Optimal Embedding for Intrinsic 3D Shape Analysis
For various 3D shape analysis tasks, the LaplaceBeltrami(LB) embedding has become increasingly popular as it enables the efficient comparison of shapes based on intrinsic geometry...
Rongjie Lai, Yonggang Shi, Kevin Scheibel, Scott F...
STOC
2005
ACM
130views Algorithms» more  STOC 2005»
15 years 9 months ago
Low-distortion embeddings of general metrics into the line
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...
Mihai Badoiu, Julia Chuzhoy, Piotr Indyk, Anastasi...
ISAAC
2007
Springer
102views Algorithms» more  ISAAC 2007»
15 years 3 months ago
Depth of Field and Cautious-Greedy Routing in Social Networks
Social networks support efficient decentralized search: people can collectively construct short paths to a specified target in the network. Rank-based friendship—where the prob...
David Barbella, George Kachergis, David Liben-Nowe...
STACS
2007
Springer
15 years 3 months ago
Small Space Representations for Metric Min-Sum k -Clustering and Their Applications
The min-sum k-clustering problem is to partition a metric space (P, d) into k clusters C1, . . . , Ck ⊆ P such that k i=1 p,q∈Ci d(p, q) is minimized. We show the first effi...
Artur Czumaj, Christian Sohler