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arXiv · 2003.06036

A Polyhedral Approach to Bisubmodular Function Minimization

Qimeng Yu·Simge Kucukyavuz
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Abstract

We consider minimization problems with bisubmodular objective functions. We propose valid inequalities, namely the poly-bimatroid inequalities, and provide a complete linear description of the convex hull of the epigraph of a bisubmodular function. Furthermore, we develop a cutting plane algorithm for constrained bisubmodular minimization based on the poly-bimatroid inequalities. Our computational experiments on the minimization subproblem in robust coupled sensor placement show that our algorithm can solve highly non-linear problems that do not admit compact mixed-integer linear formulations.

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Qimeng Yu, Simge Kucukyavuz. 2020-03-12. A Polyhedral Approach to Bisubmodular Function Minimization. https://arxiv.org/abs/2003.06036

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