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» Maximizing Non-Monotone Submodular Functions
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FOCS
2007
IEEE
13 years 11 months ago
Maximizing Non-Monotone Submodular Functions
Submodular maximization generalizes many important problems including Max Cut in directed/undirected graphs and hypergraphs, certain constraint satisfaction problems and maximum f...
Uriel Feige, Vahab S. Mirrokni, Jan Vondrák
ACL
2011
12 years 8 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
NAACL
2010
13 years 3 months ago
Multi-document Summarization via Budgeted Maximization of Submodular Functions
We treat the text summarization problem as maximizing a submodular function under a budget constraint. We show, both theoretically and empirically, a modified greedy algorithm can...
Hui Lin, Jeff Bilmes
STOC
2012
ACM
221views Algorithms» more  STOC 2012»
11 years 7 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
JMLR
2010
187views more  JMLR 2010»
13 years 1 days ago
SFO: A Toolbox for Submodular Function Optimization
In recent years, a fundamental problem structure has emerged as very useful in a variety of machine learning applications: Submodularity is an intuitive diminishing returns proper...
Andreas Krause