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» Two Algorithms for the Minimum Enclosing Ball Problem
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CCCG
1998
14 years 10 months ago
Quantile approximation for robust statistical estimation
Given a set P of n points in Rd, a fundamental problem in computational geometry is concerned with finding the smallest shape of some type that encloses all the points of P. Well-...
David M. Mount, Nathan S. Netanyahu, Christine D. ...
CIARP
2010
Springer
14 years 6 months ago
A New Algorithm for Training SVMs Using Approximate Minimal Enclosing Balls
Abstract. It has been shown that many kernel methods can be equivalently formulated as minimal-enclosing-ball (MEB) problems in certain feature space. Exploiting this reduction eff...
Emanuele Frandi, Maria Grazia Gasparo, Stefano Lod...
ESA
2010
Springer
227views Algorithms» more  ESA 2010»
14 years 10 months ago
Approximating Parameterized Convex Optimization Problems
We consider parameterized convex optimization problems over the unit simplex, that depend on one parameter. We provide a simple and efficient scheme for maintaining an -approximat...
Joachim Giesen, Martin Jaggi, Sören Laue
COMPGEOM
2010
ACM
15 years 2 months ago
The 2-center problem in three dimensions
Let P be a set of n points in R3 . The 2-center problem for P is to find two congruent balls of the minimum radius whose union covers P. We present two randomized algorithms for ...
Pankaj K. Agarwal, Rinat Ben Avraham, Micha Sharir
DAM
2007
177views more  DAM 2007»
14 years 9 months ago
On Khachiyan's algorithm for the computation of minimum-volume enclosing ellipsoids
Given A := {a1, . . . , am} ⊂ Rd whose affine hull is Rd, we study the problems of computing an approximate rounding of the convex hull of A and an approximation to the minimum ...
Michael J. Todd, E. Alper Yildirim