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» Hardness and approximation of minimum distortion embeddings
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RANDOM
2001
Springer
13 years 10 months ago
On Euclidean Embeddings and Bandwidth Minimization
We study Euclidean embeddings of Euclidean metrics and present the following four results: (1) an O(log3 n √ log log n) approximation for minimum bandwidth in conjunction with a ...
John Dunagan, Santosh Vempala
JMM2
2007
96views more  JMM2 2007»
13 years 5 months ago
A Framework for Linear Transform Approximation Using Orthogonal Basis Projection
—This paper aims to develop a novel framework to systematically trade-off computational complexity with output distortion in linear multimedia transforms, in an optimal manner. T...
Yinpeng Chen, Hari Sundaram
CPM
2009
Springer
121views Combinatorics» more  CPM 2009»
14 years 7 days ago
LCS Approximation via Embedding into Local Non-repetitive Strings
A classical measure of similarity between strings is the length of the longest common subsequence(LCS) between the two given strings. The search for efficient algorithms for findi...
Gad M. Landau, Avivit Levy, Ilan Newman
COMPGEOM
2006
ACM
13 years 11 months ago
Plane embeddings of planar graph metrics
Embedding metrics into constant-dimensional geometric spaces, such as the Euclidean plane, is relatively poorly understood. Motivated by applications in visualization, ad-hoc netw...
MohammadHossein Bateni, Mohammad Taghi Hajiaghayi,...
COMPGEOM
2008
ACM
13 years 7 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