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» Graphs with Bounded Induced Distance
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APPML
2007
154views more  APPML 2007»
13 years 9 months ago
Comparison of distances between measures
The problem of optimal transportation between a set of sources and a set of wells has become recently the object of new mathematical models generalizing the Monge-Kantorovich prob...
Jean-Michel Morel, Filippo Santambrogio
TSMC
2010
13 years 3 months ago
Distance Approximating Dimension Reduction of Riemannian Manifolds
We study the problem of projecting high-dimensional tensor data on an unspecified Riemannian manifold onto some lower dimensional subspace1 without much distorting the pairwise geo...
Changyou Chen, Junping Zhang, Rudolf Fleischer
SODA
2007
ACM
106views Algorithms» more  SODA 2007»
13 years 10 months ago
Embedding metrics into ultrametrics and graphs into spanning trees with constant average distortion
This paper addresses the basic question of how well can a tree approximate distances of a metric space or a graph. Given a graph, the problem of constructing a spanning tree in a ...
Ittai Abraham, Yair Bartal, Ofer Neiman
SODA
2001
ACM
87views Algorithms» more  SODA 2001»
13 years 10 months ago
Steiner points in tree metrics don't (really) help
Consider an edge-weighted tree T = (V, E, w : E R+ ), in which a subset R of the nodes (called the required nodes) are colored red and the remaining nodes in S = V \R are colored ...
Anupam Gupta
IJCAI
2007
13 years 10 months ago
MB-DPOP: A New Memory-Bounded Algorithm for Distributed Optimization
In distributed combinatorial optimization problems, dynamic programming algorithms like DPOP ([Petcu and Faltings, 2005]) require only a linear number of messages, thus generating...
Adrian Petcu, Boi Faltings