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NIPS
2001
13 years 6 months ago
A General Greedy Approximation Algorithm with Applications
Greedy approximation algorithms have been frequently used to obtain sparse solutions to learning problems. In this paper, we present a general greedy algorithm for solving a class...
T. Zhang
MFCS
2005
Springer
13 years 10 months ago
Greedy Approximation via Duality for Packing, Combinatorial Auctions and Routing
We study simple greedy approximation algorithms for general class of integer packing problems. We provide a novel analysis based on the duality theory of linear programming. This e...
Piotr Krysta
JAT
2007
84views more  JAT 2007»
13 years 4 months ago
On Lebesgue-type inequalities for greedy approximation
We study the efficiency of greedy algorithms with regard to redundant dictionaries in Hilbert spaces. We obtain upper estimates for the errors of the Pure Greedy Algorithm and th...
David L. Donoho, Michael Elad, Vladimir N. Temlyak...
SODA
2008
ACM
184views Algorithms» more  SODA 2008»
13 years 6 months ago
Coresets, sparse greedy approximation, and the Frank-Wolfe algorithm
The problem of maximizing a concave function f(x) in a simplex S can be solved approximately by a simple greedy algorithm. For given k, the algorithm can find a point x(k) on a k-...
Kenneth L. Clarkson
NETWORKS
2006
13 years 4 months ago
Lower bounds for the relative greedy algorithm for approximating Steiner trees
Abstract. The Steiner tree problem is to find a shortest subgraph that spans a given set of vertices in a graph. This problem is known to be NP-hard and it is well known that a pol...
Stefan Hougardy, Stefan Kirchner