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» Local embeddings of metric spaces
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NIPS
1997
13 years 10 months ago
Mapping a Manifold of Perceptual Observations
Nonlinear dimensionality reduction is formulated here as the problem of trying to find a Euclidean feature-space embedding of a set of observations that preserves as closely as p...
Joshua B. Tenenbaum
STOC
2005
ACM
130views Algorithms» more  STOC 2005»
14 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...
ICML
2007
IEEE
14 years 9 months ago
Optimal dimensionality of metric space for classification
In many real-world applications, Euclidean distance in the original space is not good due to the curse of dimensionality. In this paper, we propose a new method, called Discrimina...
Wei Zhang, Xiangyang Xue, Zichen Sun, Yue-Fei Guo,...
DAC
2006
ACM
14 years 9 months ago
Architecture-aware FPGA placement using metric embedding
Since performance on FPGAs is dominated by the routing architecture rather than wirelength, we propose a new architecture-aware approach to initial FPGA placement that models the ...
Padmini Gopalakrishnan, Xin Li, Lawrence T. Pilegg...
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