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SIAMSC
2008
167views more  SIAMSC 2008»
13 years 7 months ago
Low-Dimensional Polytope Approximation and Its Applications to Nonnegative Matrix Factorization
In this study, nonnegative matrix factorization is recast as the problem of approximating a polytope on the probability simplex by another polytope with fewer facets. Working on th...
Moody T. Chu, Matthew M. Lin
ESA
2006
Springer
103views Algorithms» more  ESA 2006»
13 years 11 months ago
Greedy in Approximation Algorithms
The objective of this paper is to characterize classes of problems for which a greedy algorithm finds solutions provably close to optimum. To that end, we introduce the notion of k...
Julián Mestre
AAIM
2006
Springer
110views Algorithms» more  AAIM 2006»
14 years 1 months ago
Non-metric Multicommodity and Multilevel Facility Location
Abstract. We give logarithmic approximation algorithms for the nonmetric uncapacitated multicommodity and multilevel facility location problems. The former algorithms are optimal u...
Rudolf Fleischer, Jian Li, Shijun Tian, Hong Zhu
AUSAI
2009
Springer
13 years 10 months ago
Classification-Assisted Memetic Algorithms for Equality-Constrained Optimization Problems
Regressions has successfully been incorporated into memetic algorithm (MA) to build surrogate models for the objective or constraint landscape of optimization problems. This helps ...
Stephanus Daniel Handoko, Chee Keong Kwoh, Yew-Soo...
SODA
1992
ACM
179views Algorithms» more  SODA 1992»
13 years 8 months ago
Approximating the Minimum Weight Triangulation
We show that the length of the minimum weight Steiner triangulation (MWST) of a point set can be approximated within a constant factor by a triangulation algorithm based on quadtr...
David Eppstein