41 search results - page 4 / 9 » Girth and euclidean distortion |
150
click to vote
SODA
2010
ACM
16 years 3 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...
154
click to vote
FOCS
2005
IEEE
15 years 11 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...
157
click to vote
COMPGEOM
2006
ACM
15 years 12 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...
159
click to vote
STACS
2007
Springer
16 years 3 days 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...
173
click to vote
ECML
2005
Springer
15 years 11 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...