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Practical and Parallelizable Algorithms for Non-Monotone Submodular Maximization with Size Constraint

Practical and Parallelizable Algorithms for Non-Monotone Submodular Maximization with Size Constraint

We present combinatorial and parallelizable algorithms for the maximization of a submodular function, not necessarily monotone, with respect to a size constraint. We improve the best approximation factor achieved by an algorithm that has optimal adaptivity and nearly optimal query complexity to 1/6 − ε, and even further to 0.193 …