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» Some Results on Greedy Embeddings in Metric Spaces
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DAC
2006
ACM
16 years 1 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»
15 years 1 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
FOCS
2005
IEEE
15 years 6 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...
ML
2010
ACM
193views Machine Learning» more  ML 2010»
14 years 7 months ago
On the eigenvectors of p-Laplacian
Spectral analysis approaches have been actively studied in machine learning and data mining areas, due to their generality, efficiency, and rich theoretical foundations. As a natur...
Dijun Luo, Heng Huang, Chris H. Q. Ding, Feiping N...
KDD
2012
ACM
254views Data Mining» more  KDD 2012»
13 years 2 months ago
Playlist prediction via metric embedding
Digital storage of personal music collections and cloud-based music services (e.g. Pandora, Spotify) have fundamentally changed how music is consumed. In particular, automatically...
Shuo Chen, Josh L. Moore, Douglas Turnbull, Thorst...