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MOR
2008
110views more  MOR 2008»
14 years 9 months 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
TALG
2008
81views more  TALG 2008»
14 years 9 months ago
Ordinal embeddings of minimum relaxation: General properties, trees, and ultrametrics
We introduce a new notion of embedding, called minimum-relaxation ordinal embedding, parallel to the standard notion of minimum-distortion (metric) embedding. In an ordinal embedd...
Noga Alon, Mihai Badoiu, Erik D. Demaine, Martin F...
ICALP
2004
Springer
15 years 3 months ago
The Black-Box Complexity of Nearest Neighbor Search
We define a natural notion of efficiency for approximate nearest-neighbor (ANN) search in general n-point metric spaces, namely the existence of a randomized algorithm which answ...
Robert Krauthgamer, James R. Lee
SIAMNUM
2011
154views more  SIAMNUM 2011»
14 years 4 months ago
Continuous Mesh Framework Part I: Well-Posed Continuous Interpolation Error
In the context of mesh adaptation, Riemannian metric spaces have been used to prescribe orientation, density and stretching of anisotropic meshes. But, such structures are only con...
Adrien Loseille, Frédéric Alauzet
CORR
2008
Springer
154views Education» more  CORR 2008»
14 years 9 months ago
On Pure and (approximate) Strong Equilibria of Facility Location Games
We study social cost losses in Facility Location games, where n selfish agents install facilities over a network and connect to them, so as to forward their local demand (expressed...
Thomas Dueholm Hansen, Orestis Telelis