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» Approximation algorithms for aligning points
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STACS
2010
Springer
15 years 4 months ago
Dispersion in Unit Disks
We present two new approximation algorithms with (improved) constant ratios for selecting n points in n unit disks such that the minimum pairwise distance among the points is maxi...
Adrian Dumitrescu, Minghui Jiang
COMPGEOM
2006
ACM
15 years 3 months ago
Algorithms for two-box covering
We study the problem of covering a set of points or polyhedra in 3 with two axis-aligned boxes in order to minimize a function of the measures of the two boxes, such as the sum or...
Esther M. Arkin, Gill Barequet, Joseph S. B. Mitch...
SODA
2012
ACM
196views Algorithms» more  SODA 2012»
13 years 10 days ago
Polytope approximation and the Mahler volume
The problem of approximating convex bodies by polytopes is an important and well studied problem. Given a convex body K in Rd , the objective is to minimize the number of vertices...
Sunil Arya, Guilherme Dias da Fonseca, David M. Mo...
MST
2007
167views more  MST 2007»
14 years 9 months ago
The Complexity of Polynomial-Time Approximation
In 1996, Khanna and Motwani [KM96] proposed three logic-based optimization problems constrained by planar structure, and offered the hypothesis that these putatively fundamental ...
Liming Cai, Michael R. Fellows, David W. Juedes, F...
ICML
2006
IEEE
15 years 10 months ago
Semi-supervised nonlinear dimensionality reduction
The problem of nonlinear dimensionality reduction is considered. We focus on problems where prior information is available, namely, semi-supervised dimensionality reduction. It is...
Xin Yang, Haoying Fu, Hongyuan Zha, Jesse L. Barlo...