Corpus ID: 31861010

Active-set Methods for Submodular Minimization Problems

@article{Kumar2017ActivesetMF,
  title={Active-set Methods for Submodular Minimization Problems},
  author={K. S. Sesh Kumar and Francis R. Bach},
  journal={J. Mach. Learn. Res.},
  year={2017},
  volume={18},
  pages={132:1-132:31}
}
We consider the submodular function minimization (SFM) and the quadratic minimization problemsregularized by the Lov'asz extension of the submodular function. These optimization problemsare intimately related; for example,min-cut problems and total variation denoising problems, wherethe cut function is submodular and its Lov'asz extension is given by the associated total variation.When a quadratic loss is regularized by the total variation of a cut function, it thus becomes atotal variation… Expand
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