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» On Approximating the Radii of Point Sets in High Dimensions
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VLDB
1999
ACM
118views Database» more  VLDB 1999»
15 years 2 months ago
Similarity Search in High Dimensions via Hashing
The nearest- or near-neighbor query problems arise in a large variety of database applications, usually in the context of similarity searching. Of late, there has been increasing ...
Aristides Gionis, Piotr Indyk, Rajeev Motwani
COMPGEOM
1993
ACM
15 years 2 months ago
Approximating Center Points with Iterated Radon Points
We give a practical and provably good Monte Carlo algorithm for approximating center points. Let P be a set of n points in IRd . A point c ∈ IRd is a β-center point of P if eve...
Kenneth L. Clarkson, David Eppstein, Gary L. Mille...
CCCG
2003
14 years 11 months ago
The Gaussian Centre of a Set of Mobile Points
Abstract Steph Durocher∗ and David Kirkpatrick† Department of Computer Science, University of British Columbia Vancouver BC, Canada Given a set of client positions as input, f...
Stephane Durocher, David G. Kirkpatrick
NA
2007
100views more  NA 2007»
14 years 9 months ago
Periodization strategy may fail in high dimensions
Abstract. We discuss periodization of smooth functions f of d variables for approximation of multivariate integrals. The benefit of periodization is that we may use lattice rules,...
Frances Y. Kuo, Ian H. Sloan, Henryk Wozniakowski
FOCS
2008
IEEE
15 years 4 months ago
Spherical Cubes and Rounding in High Dimensions
What is the least surface area of a shape that tiles Rd under translations by Zd ? Any such shape must have volume 1 and hence surface area at least that of the volume-1 ball, nam...
Guy Kindler, Ryan O'Donnell, Anup Rao, Avi Wigders...