Submodular Function Maximization via the Multilinear Relaxation and Contention Resolution Schemes

@inproceedings{Chekuri2011SubmodularFM,
  title={Submodular Function Maximization via the Multilinear Relaxation and Contention Resolution Schemes},
  author={Chandra Chekuri and Jan Vondr{\'a}k and Rico Zenklusen},
  booktitle={STOC},
  year={2011}
}
We consider the problem of maximizing a non-negative submodular set function f:2N -> RR+ over a ground set N subject to a variety of packing type constraints including (multiple) matroid constraints, knapsack constraints, and their intersections. In this paper we develop a general framework that allows us to derive a number of new results, in particular when f may be a non-monotone function. Our algorithms are based on (approximately) solving the multilinear extension F of f [5] over a polytope… CONTINUE READING
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