• Corpus ID: 232134951

Decomposable Submodular Function Minimization via Maximum Flow

@inproceedings{Axiotis2021DecomposableSF,
  title={Decomposable Submodular Function Minimization via Maximum Flow},
  author={Kyriakos Axiotis and Adam Karczmarz and A. Mukherjee and Piotr Sankowski and Adrian Vladu},
  booktitle={ICML},
  year={2021}
}
This paper bridges discrete and continuous optimization approaches for decomposable submodular function minimization, in both the standard and parametric settings. We provide improved running times for this problem by reducing it to a number of calls to a maximum flow oracle. When each function in the decomposition acts on O(1) elements of the ground set V and is polynomially bounded, our running time is up to polylogarithmic factors equal to that of solving maximum flow in a sparse graph with… 

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