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» A Simple Streaming Algorithm for Minimum Enclosing Balls
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DAM
2007
177views more  DAM 2007»
13 years 7 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
OL
2011
242views Neural Networks» more  OL 2011»
13 years 2 months ago
On connected domination in unit ball graphs
Given a simple undirected graph, the minimum connected dominating set problem is to find a minimum cardinality subset of vertices D inducing a connected subgraph such that each ve...
Sergiy Butenko, Sera Kahruman-Anderoglu, Oleksii U...
ICML
2005
IEEE
14 years 8 months ago
Core Vector Regression for very large regression problems
In this paper, we extend the recently proposed Core Vector Machine algorithm to the regression setting by generalizing the underlying minimum enclosing ball problem. The resultant...
Ivor W. Tsang, James T. Kwok, Kimo T. Lai
ESA
2003
Springer
96views Algorithms» more  ESA 2003»
14 years 20 days ago
Streaming Geometric Optimization Using Graphics Hardware
In this paper we propose algorithms for solving a variety of geometric optimization problems on a stream of points in R2 or R3 . These problems include various extent measures (e.g...
Pankaj K. Agarwal, Shankar Krishnan, Nabil H. Must...
COMPGEOM
2010
ACM
14 years 16 days 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