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APPROX
2006
Springer
179views Algorithms» more  APPROX 2006»
15 years 10 months ago
Adaptive Sampling and Fast Low-Rank Matrix Approximation
We prove that any real matrix A contains a subset of at most 4k/ + 2k log(k + 1) rows whose span "contains" a matrix of rank at most k with error only (1 + ) times the er...
Amit Deshpande, Santosh Vempala
APPROX
2006
Springer
120views Algorithms» more  APPROX 2006»
15 years 10 months ago
Approximating Average Parameters of Graphs
Inspired by Feige (36th STOC, 2004), we initiate a study of sublinear randomized algorithms for approximating average parameters of a graph. Specifically, we consider the average ...
Oded Goldreich, Dana Ron
APPROX
2006
Springer
121views Algorithms» more  APPROX 2006»
15 years 10 months ago
A Randomized Solver for Linear Systems with Exponential Convergence
Abstract. The Kaczmarz method for solving linear systems of equations Ax = b is an iterative algorithm that has found many applications ranging from computer tomography to digital ...
Thomas Strohmer, Roman Vershynin
APPROX
2006
Springer
162views Algorithms» more  APPROX 2006»
15 years 10 months ago
Approximating Precedence-Constrained Single Machine Scheduling by Coloring
Abstract. This paper investigates the relationship between the dimension theory of partial orders and the problem of scheduling precedenceconstrained jobs on a single machine to mi...
Christoph Ambühl, Monaldo Mastrolilli, Ola Sv...
APPROX
2007
Springer
87views Algorithms» more  APPROX 2007»
15 years 10 months ago
Stochastic Steiner Tree with Non-uniform Inflation
We study the Steiner Tree problem in the model of two-stage stochastic optimization with non-uniform inflation factors, and give a poly-logarithmic approximation factor for this pr...
Anupam Gupta, MohammadTaghi Hajiaghayi, Amit Kumar