Submodular Maximization beyond Non-negativity: Guarantees, Fast Algorithms, and Applications

Chris Harshaw, Moran Feldman, Justin Ward, Amin Karbasi

Abstract: It is generally believed that submodular functions–and the more general class of $\gamma$-weakly submodular functions–may only be optimized under the non-negativity assumption $f(S) \geq 0$. In thi...