Corpus ID: 220265762

Concave Aspects of Submodular Functions

@article{Iyer2020ConcaveAO,
  title={Concave Aspects of Submodular Functions},
  author={Rishabh Iyer and Jeff A. Bilmes},
  journal={ArXiv},
  year={2020},
  volume={abs/2006.16784}
}
  • Rishabh Iyer, Jeff A. Bilmes
  • Published 2020
  • Computer Science, Mathematics
  • ArXiv
  • Submodular Functions are a special class of set functions, which generalize several information-theoretic quantities such as entropy and mutual information [1]. Submodular functions have subgradients and subdifferentials [2] and admit polynomial time algorithms for minimization, both of which are fundamental characteristics of convex functions. Submodular functions also show signs similar to concavity. Submodular function maximization, though NP hard, admits constant factor approximation… CONTINUE READING

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