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» Metric Embeddings with Relaxed Guarantees
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FOCS
2005
IEEE
12 years 1 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...
TALG
2008
81views more  TALG 2008»
11 years 8 months ago
Ordinal embeddings of minimum relaxation: General properties, trees, and ultrametrics
We introduce a new notion of embedding, called minimum-relaxation ordinal embedding, parallel to the standard notion of minimum-distortion (metric) embedding. In an ordinal embedd...
Noga Alon, Mihai Badoiu, Erik D. Demaine, Martin F...
APPROX
2010
Springer
220views Algorithms» more  APPROX 2010»
11 years 9 months ago
Constant Approximation Algorithms for Embedding Graph Metrics into Trees and Outerplanar Graphs
We present a simple factor 6 algorithm for approximating the optimal multiplicative distortion of embedding (unweighted) graph metrics into tree metrics (thus improving and simplif...
Victor Chepoi, Feodor F. Dragan, Ilan Newman, Yuri...
COMPGEOM
2008
ACM
11 years 10 months ago
Circular partitions with applications to visualization and embeddings
We introduce a hierarchical partitioning scheme of the Euclidean plane, called circular partitions. Such a partition consists of a hierarchy of convex polygons, each having small ...
Krzysztof Onak, Anastasios Sidiropoulos
ICML
2006
IEEE
12 years 9 months ago
Quadratic programming relaxations for metric labeling and Markov random field MAP estimation
Quadratic program relaxations are proposed as an alternative to linear program relaxations and tree reweighted belief propagation for the metric labeling or MAP estimation problem...
Pradeep D. Ravikumar, John D. Lafferty
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