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JCT
2008
100views more  JCT 2008»
13 years 4 months ago
Optimal distortion embeddings of distance regular graphs into Euclidean spaces
ABSTRACT. In this paper we give a lower bound for the least distortion embedding of a distance regular graph into Euclidean space. We use the lower bound for finding the least dist...
Frank Vallentin
ICPR
2008
IEEE
13 years 10 months ago
Semi-supervised learning by locally linear embedding in kernel space
Graph based semi-supervised learning methods (SSL) implicitly assume that the intrinsic geometry of the data points can be fully specified by an Euclidean distance based local ne...
Rujie Liu, Yuehong Wang, Takayuki Baba, Daiki Masu...
FOCS
2005
IEEE
13 years 10 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...
STACS
2007
Springer
13 years 10 months ago
Hard Metrics from Cayley Graphs of Abelian Groups
: Hard metrics are the class of extremal metrics with respect to embedding into Euclidean spaces: they incur Ω(logn) multiplicative distortion, which is as large as it can possib...
Ilan Newman, Yuri Rabinovich
DCG
2010
171views more  DCG 2010»
13 years 4 months ago
Bregman Voronoi Diagrams
The Voronoi diagram of a point set is a fundamental geometric structure that partitions the space into elementary regions of influence defining a discrete proximity graph and dual...
Jean-Daniel Boissonnat, Frank Nielsen, Richard Noc...