34 search results - page 6 / 7 » Embedding metric spaces in their intrinsic dimension |
COMPGEOM
2009
ACM
14 years 4 days ago
2009
ACM
Integration over a domain, such as a Euclidean space or a Riemannian manifold, is a fundamental problem across scientific fields. Many times, the underlying domain is only acces...
FOCS
2004
IEEE
13 years 9 months ago
2004
IEEE
Concurrent with recent theoretical interest in the problem of metric embedding, a growing body of research in the networking community has studied the distance matrix defined by n...
AAAI
2006
13 years 7 months ago
2006
Over the past few years, some embedding methods have been proposed for feature extraction and dimensionality reduction in various machine learning and pattern classification tasks...
GI
2009
Springer
13 years 3 months ago
2009
Springer
: Statistics and estimation theory is enriched with techniques derived from differential geometry. This establishes the increasing topic of information geometry. This allows new in...
COMPGEOM
2010
ACM
13 years 9 months ago
2010
ACM
We give a provably correct algorithm to reconstruct a kdimensional manifold embedded in d-dimensional Euclidean space. Input to our algorithm is a point sample coming from an unkn...