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arXiv · 1905.13492

Majorisation-minimisation algorithms for minimising the difference between lattice submodular functions

Conor McMeel·Panos Parpas
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Abstract

We consider the problem of minimising functions represented as a difference of lattice submodular functions. We propose analogues to the SupSub, SubSup and ModMod routines for lattice submodular functions. We show that our majorisation-minimisation algorithms produce iterates that monotonically decrease, and that we converge to a local minimum. We also extend additive hardness results, and show that a broad range of functions can be expressed as the difference of submodular functions.

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Conor McMeel, Panos Parpas. 2019-05-31. Majorisation-minimisation algorithms for minimising the difference between lattice submodular functions. https://arxiv.org/abs/1905.13492

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