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arXiv · 1805.06990

Fast Maximization of Non-Submodular, Monotonic Functions on the Integer Lattice

Alan Kuhnle·J. David Smith·Victoria G. Crawford·My T. Thai
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Abstract

The optimization of submodular functions on the integer lattice has received much attention recently, but the objective functions of many applications are non-submodular. We provide two approximation algorithms for maximizing a non-submodular function on the integer lattice subject to a cardinality constraint; these are the first algorithms for this purpose that have polynomial query complexity. We propose a general framework for influence maximization on the integer lattice that generalizes prior works on this topic, and we demonstrate the efficiency of our algorithms in this context.

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Alan Kuhnle, J. David Smith, Victoria G. Crawford, My T. Thai. 2018-05-17. Fast Maximization of Non-Submodular, Monotonic Functions on the Integer Lattice. https://arxiv.org/abs/1805.06990

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