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Maximizing Monotone Submodular Functions over the Integer Lattice
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- 1 Intro
- 2 Monotone Submodular Func Maximization
- 3 Limitation of Set Function
- 4 Definitions of Submodularity on 2
- 5 Monotone Submod Func Maximization on 2
- 6 Can We Reduce it to Set Function? YES, if is DR-submodular.
- 7 Our Results
- 8 Algorithms
- 9 Cardinality/DR-Submodular
- 10 Cardinality/Lattice-Submodular Idea: Devide the range into polynomially many regions.
- 11 Polymatroid/DR-Submodular
- 12 DR-Submodular Cover
- 13 Summary
