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APPROX
2006
Springer
107views Algorithms» more  APPROX 2006»
15 years 1 months ago
A Fast Random Sampling Algorithm for Sparsifying Matrices
We describe a simple random-sampling based procedure for producing sparse matrix approximations. Our procedure and analysis are extremely simple: the analysis uses nothing more th...
Sanjeev Arora, Elad Hazan, Satyen Kale
APPROX
2006
Springer
179views Algorithms» more  APPROX 2006»
15 years 1 months ago
On Bounded Distance Decoding for General Lattices
A central problem in the algorithmic study of lattices is the closest vector problem: given a lattice v represented by some basis, and a target point y, nd the lattice point close...
Yi-Kai Liu, Vadim Lyubashevsky, Daniele Micciancio
APPROX
2006
Springer
130views Algorithms» more  APPROX 2006»
15 years 1 months ago
Tight Results on Minimum Entropy Set Cover
In the minimum entropy set cover problem, one is given a collection of k sets which collectively cover an n-element ground set. A feasible solution of the problem is a partition o...
Jean Cardinal, Samuel Fiorini, Gwenaël Joret
APPROX
2006
Springer
117views Algorithms» more  APPROX 2006»
15 years 1 months ago
Fractional Matching Via Balls-and-Bins
In this paper we relate the problem of finding structures related to perfect matchings in bipartite graphs to a stochastic process similar to throwing balls into bins. Given a bip...
Rajeev Motwani, Rina Panigrahy, Ying Xu 0002
APPROX
2006
Springer
100views Algorithms» more  APPROX 2006»
15 years 1 months ago
Robust Local Testability of Tensor Products of LDPC Codes
Given two binary linear codes R and C, their tensor product R C consists of all matrices with rows in R and columns in C. We analyze the "robustness" of the following te...
Irit Dinur, Madhu Sudan, Avi Wigderson