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MOR
2008
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14 years 12 days ago
Alternating Projections on Manifolds
We prove that if two smooth manifolds intersect transversally, then the method of alternating projections converges locally at a linear rate. We bound the speed of convergence in ...
Adrian S. Lewis, Jérôme Malick
ESANN
2006
14 years 1 months ago
Outlier identification with the Harmonic Topographic Mapping
We review two versions of a topology preserving algorithm one of which we had previously [1] found to be more successful in defining smooth manifolds and tight clusters. In the con...
Marian Pena, Colin Fyfe
COMPGEOM
2008
ACM
14 years 2 months ago
Tighter bounds for random projections of manifolds
The Johnson-Lindenstrauss random projection lemma gives a simple way to reduce the dimensionality of a set of points while approximately preserving their pairwise distances. The m...
Kenneth L. Clarkson