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FOCS
2010
IEEE
13 years 9 months ago
Replacement Paths via Fast Matrix Multiplication
Let G be a directed edge-weighted graph and let P be a shortest path from s to t in G. The replacement paths problem asks to compute, for every edge e on P, the shortest s-to-t pat...
Oren Weimann, Raphael Yuster
JGTOOLS
2008
109views more  JGTOOLS 2008»
13 years 11 months ago
Fast Equal-Area Mapping of the (Hemi)Sphere using SIMD
We present a fast vectorized implementation of a transform that maps points in the unit square to the surface of the sphere, while preserving fractional area. The mapping uses the ...
Petrik Clarberg
STOC
2001
ACM
134views Algorithms» more  STOC 2001»
14 years 11 months ago
Data-streams and histograms
Histograms are typically used to approximate data distributions. Histograms and related synopsis structures have been successful in a wide variety of popular database applications...
Sudipto Guha, Nick Koudas, Kyuseok Shim
ADCM
2008
136views more  ADCM 2008»
13 years 11 months ago
Learning and approximation by Gaussians on Riemannian manifolds
Learning function relations or understanding structures of data lying in manifolds embedded in huge dimensional Euclidean spaces is an important topic in learning theory. In this ...
Gui-Bo Ye, Ding-Xuan Zhou
FSTTCS
2006
Springer
14 years 2 months ago
Normal and Feature Approximations from Noisy Point Clouds
We consider the problem of approximating normal and feature sizes of a surface from point cloud data that may be noisy. These problems are central to many applications dealing wit...
Tamal K. Dey, Jian Sun