# Fast Decomposable Submodular Function Minimization using Constrained Total Variation

@inproceedings{Karri2019FastDS, title={Fast Decomposable Submodular Function Minimization using Constrained Total Variation}, author={Senanayak Sesh Kumar Karri and Francis R. Bach and Thomas Pock}, booktitle={NeurIPS}, year={2019} }

We consider the problem of minimizing the sum of submodular set functions assuming minimization oracles of each summand function. Most existing approaches reformulate the problem as the convex minimization of the sum of the corresponding Lovasz extensions and the squared Euclidean norm, leading to algorithms requiring total variation oracles of the summand functions; without further assumptions, these more complex oracles require many calls to the simpler minimization oracles often available in… Expand

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Decomposable Submodular Function Minimization via Maximum Flow

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- 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… Expand

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