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CORR
2010
Springer
84views Education» more  CORR 2010»
14 years 9 months ago
Improved Inapproximability For Submodular Maximization
We show that it is Unique Games-hard to approximate the maximum of a submodular function to within a factor 0.695, and that it is Unique Games-hard to approximate the maximum of a ...
Per Austrin
FOCS
2009
IEEE
15 years 4 months ago
Symmetry and Approximability of Submodular Maximization Problems
Abstract— A number of recent results on optimization problems involving submodular functions have made use of the ”multilinear relaxation” of the problem [3], [8], [24], [14]...
Jan Vondrák
STOC
2012
ACM
221views Algorithms» more  STOC 2012»
12 years 12 months ago
From query complexity to computational complexity
We consider submodular optimization problems, and provide a general way of translating oracle inapproximability results arising from the symmetry gap technique to computational co...
Shahar Dobzinski, Jan Vondrák
WINE
2005
Springer
182views Economy» more  WINE 2005»
15 years 2 months ago
Inapproximability Results for Combinatorial Auctions with Submodular Utility Functions
We consider the following allocation problem arising in the setting of combinatorial auctions: a set of goods is to be allocated to a set of players so as to maximize the sum of t...
Subhash Khot, Richard J. Lipton, Evangelos Markaki...
CORR
2010
Springer
111views Education» more  CORR 2010»
14 years 9 months ago
Submodular Maximization by Simulated Annealing
We consider the problem of maximizing a nonnegative (possibly non-monotone) submodular set function with or without constraints. Feige et al. [9] showed a 2/5-approximation for th...
Shayan Oveis Gharan, Jan Vondrák