Maximizing a non-decreasing non-submodular function subject to various types of constraints

In this paper, we firstly study the problem of maximizing a γ -weakly DR-submodular function under a general matroid constraint. We present a local search algorithm, which is guided by a tailored potential function, for solving this problem. We prove that our algorithm produces a ( 1 - e - γ - ϵ )-a...

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