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117
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CORR
2010
Springer
84views Education» more  CORR 2010»
15 years 1 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
120
Voted
ACL
2011
14 years 5 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
112
Voted
NAACL
2010
14 years 11 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
CONSTRAINTS
2008
138views more  CONSTRAINTS 2008»
15 years 1 months ago
Minimization of Locally Defined Submodular Functions by Optimal Soft Arc Consistency
Submodular function minimization is a polynomially-solvable combinatorial problem. Unfortunately the best known general-purpose algorithms have high-order polynomial time complexi...
Martin C. Cooper
ICML
2010
IEEE
15 years 2 months ago
Interactive Submodular Set Cover
We introduce a natural generalization of submodular set cover and exact active learning with a finite hypothesis class (query learning). We call this new problem interactive submo...
Andrew Guillory, Jeff Bilmes