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» Approximating Semidefinite Packing Programs
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SODA
2001
ACM
157views Algorithms» more  SODA 2001»
13 years 11 months ago
New approaches to covering and packing problems
Covering and packing integer programs model a large family of combinatorial optimization problems. The current-best approximation algorithms for these are an instance of the basic...
Aravind Srinivasan
FCT
2007
Springer
14 years 3 months ago
Analysis of Approximation Algorithms for k-Set Cover Using Factor-Revealing Linear Programs
We present new combinatorial approximation algorithms for k-set cover. Previous approaches are based on extending the greedy algorithm by efficiently handling small sets. The new a...
Stavros Athanassopoulos, Ioannis Caragiannis, Chri...
FOCS
2006
IEEE
14 years 3 months ago
Improved approximation algorithms for multidimensional bin packing problems
In this paper we introduce a new general framework for set covering problems, based on the combination of randomized rounding of the (near-)optimal solution of the Linear Programm...
Nikhil Bansal, Alberto Caprara, Maxim Sviridenko
TSMC
2002
119views more  TSMC 2002»
13 years 9 months ago
Approximation of n-dimensional data using spherical and ellipsoidal primitives
This paper discusses the problem of approximating data points in -dimensional Euclidean space using spherical and ellipsoidal surfaces. A closed form solution is provided for spher...
Giuseppe Carlo Calafiore
TCS
2008
13 years 9 months ago
Approximate GCDs of polynomials and sparse SOS relaxations
The problem of computing approximate GCDs of several polynomials with real or complex coefficients can be formulated as computing the minimal perturbation such that the perturbed ...
Bin Li, Jiawang Nie, Lihong Zhi