41 search results - page 4 / 9 » Girth and euclidean distortion |
SODA
2010
ACM
14 years 5 months ago
2010
ACM
We consider the problem of computing a minimumdistortion bijection between two point-sets in R2 . We prove the first non-trivial inapproximability result for this problem, for the...
FOCS
2005
IEEE
14 years 1 months ago
2005
IEEE
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...
COMPGEOM
2006
ACM
14 years 1 months ago
2006
ACM
Embedding metrics into constant-dimensional geometric spaces, such as the Euclidean plane, is relatively poorly understood. Motivated by applications in visualization, ad-hoc netw...
STACS
2007
Springer
14 years 2 months ago
2007
Springer
: 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...
ECML
2005
Springer
14 years 1 months ago
2005
Springer
Finding a point which minimizes the maximal distortion with respect to a dataset is an important estimation problem that has recently received growing attentions in machine learnin...