# Fast Evolutionary Algorithms for Maximization of Cardinality-Constrained Weakly Submodular Functions

@article{Crawford2019FastEA, title={Fast Evolutionary Algorithms for Maximization of Cardinality-Constrained Weakly Submodular Functions}, author={Victoria G. Crawford and Alan Kuhnle}, journal={ArXiv}, year={2019}, volume={abs/1908.01230} }

We study the monotone, weakly submodular maximization problem (WSM), which is to find a subset of size $k$ from a universe of size $n$ that maximizes a monotone, weakly submodular objective function $f$. For objectives with submodularity ratio $\gamma$, we provide two novel evolutionary algorithms that have an expected approximation guarantee of $(1-n^{-1})(1-e^{-\gamma}-\epsilon)$ for WSM in linear time, improving upon the cubic time complexity of previous evolutionary algorithms for this… CONTINUE READING

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