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STOC
2009
ACM
163views Algorithms» more  STOC 2009»
15 years 11 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...
ACL
2011
14 years 2 months ago
Word Alignment via Submodular Maximization over Matroids
We cast the word alignment problem as maximizing a submodular function under matroid constraints. Our framework is able to express complex interactions between alignment component...
Hui Lin, Jeff Bilmes
STOC
2012
ACM
221views Algorithms» more  STOC 2012»
13 years 1 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
FOCS
2009
IEEE
15 years 5 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
CVPR
2011
IEEE
14 years 2 months ago
Entropy Rate Superpixel Segmentation
We propose a new objective function for superpixel segmentation. This objective function consists of two components: entropy rate of a random walk on a graph and a balancing term....
Ming-Yu Liu, Oncel Tuzel, Srikumar Ramalingam, Ram...