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CORR
2010
Springer
111views Education» more  CORR 2010»
13 years 7 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
FOCS
2009
IEEE
14 years 2 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
2009
ACM
163views Algorithms» more  STOC 2009»
14 years 8 months ago
Non-monotone submodular maximization under matroid and knapsack constraints
Submodular function maximization is a central problem in combinatorial optimization, generalizing many important problems including Max Cut in directed/undirected graphs and in hy...
Jon Lee, Vahab S. Mirrokni, Viswanath Nagarajan, M...
APPROX
2009
Springer
138views Algorithms» more  APPROX 2009»
14 years 2 months ago
Submodular Maximization over Multiple Matroids via Generalized Exchange Properties
Submodular-function maximization is a central problem in combinatorial optimization, generalizing many important NP-hard problems including Max Cut in digraphs, graphs and hypergr...
Jon Lee, Maxim Sviridenko, Jan Vondrák