A Generalization of Submodular Cover via the Diminishing Return Property on the Integer Lattice

@inproceedings{Soma2015AGO,
  title={A Generalization of Submodular Cover via the Diminishing Return Property on the Integer Lattice},
  author={Tasuku Soma and Yuichi Yoshida},
  booktitle={NIPS},
  year={2015}
}
We consider a generalization of the submodular cover problem based on the concept of diminishing return property on the integer lattice. We are motivated by real scenarios in machine learning that cannot be captured by (traditional) sub-modular set functions. We show that the generalized submodular cover problem can be applied to various problems and devise a bicriteria approximation algorithm. Our algorithm is guaranteed to output a log-factor approximate solution that satisfies the… CONTINUE READING

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