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SODA
2003
ACM

Smaller core-sets for balls

9 years 2 months ago
Smaller core-sets for balls
We prove the existence of small core-sets for solving approximate k-center clustering and related problems. The size of these core-sets is considerably smaller than the previously known bounds, and imply faster algorithms; in particular, we get an algorithm needing O(dn/ + (1/ )5 ) time to compute an -approximate minimum enclosing ball (1-center) of n points in d dimensions. We also give a simple gradientdescent algorithm for computing the minimum enclosing ball in O(dn/ 2 ) time. This algorithm also implies slightly faster algorithms for computing approximately the smallest radius k-flat of a given set of points.
Mihai Badoiu, Kenneth L. Clarkson
Added 01 Nov 2010
Updated 01 Nov 2010
Type Conference
Year 2003
Where SODA
Authors Mihai Badoiu, Kenneth L. Clarkson
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