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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
ACL
2011
14 years 1 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
14 years 7 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»
14 years 10 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
14 years 11 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