Faster Guarantees of Evolutionary Algorithms for Maximization of Monotone Submodular Functions

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Abstract

In this paper, the monotone submodular maximization problem (SM) is studied. SM is to find a subset of size ? from a universe of size n that maximizes a monotone submodular objective function f. We show using a novel analysis that the Pareto optimization algorithm achieves a worst-case ratio of (1 - e)(1 - 1/e) in expectation for every cardinality constraint ?

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Crawford, V. G. (2021). Faster Guarantees of Evolutionary Algorithms for Maximization of Monotone Submodular Functions. In IJCAI International Joint Conference on Artificial Intelligence (pp. 1661–1667). International Joint Conferences on Artificial Intelligence. https://doi.org/10.24963/ijcai.2021/229

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