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» Some Results on Greedy Embeddings in Metric Spaces
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DAC
2006
ACM
15 years 10 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»
14 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
FOCS
2005
IEEE
15 years 3 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 4 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»
12 years 12 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...