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MP
2010
172views more  MP 2010»
15 years 3 months ago
Approximation algorithms for homogeneous polynomial optimization with quadratic constraints
In this paper, we consider approximation algorithms for optimizing a generic multi-variate homogeneous polynomial function, subject to homogeneous quadratic constraints. Such opti...
Simai He, Zhening Li, Shuzhong Zhang
BMCBI
2006
164views more  BMCBI 2006»
15 years 4 months ago
Evaluation of clustering algorithms for gene expression data
Background: Cluster analysis is an integral part of high dimensional data analysis. In the context of large scale gene expression data, a filtered set of genes are grouped togethe...
Susmita Datta, Somnath Datta
FOCS
2006
IEEE
15 years 11 months ago
Approximation Algorithms for Non-Uniform Buy-at-Bulk Network Design
We consider approximation algorithms for non-uniform buy-at-bulk network design problems. The first nontrivial approximation algorithm for this problem is due to Charikar and Kar...
Chandra Chekuri, Mohammad Taghi Hajiaghayi, Guy Ko...
LATIN
2004
Springer
15 years 10 months ago
Combinatorial Problems on Strings with Applications to Protein Folding
We consider the problem of protein folding in the HP model on the 3D square lattice. This problem is combinatorially equivalent to folding a string of 0’s and 1’s so that the s...
Alantha Newman, Matthias Ruhl
FSTTCS
2001
Springer
15 years 9 months ago
Semidefinite Programming Based Approximation Algorithms
Semidefinite programming based approximation algorithms, such as the Goemans and Williamson approximation algorithm for the MAX CUT problem, are usually shown to have certain perf...
Uri Zwick