Title: Streaming algorithms for submodular function maximization

Authors: C. Chekuri, S. Gupta, and K. Quanrud

Abstract

We consider the problem of maximizing a nonnegative submodular set function $f:2^{ℝ+}$ subject to a p-matchoid constraint in the single-pass streaming setting. Previous work in this context has considered streaming algorithms for modular functions and monotone submodular functions. The main result is for submodular functions that are {\em non-monotone}. We describe deterministic and randomized algorithms that obtain a $Ω(1/p)$-approximation using O(klogk)-space, where k is an upper bound on the cardinality of the desired set. The model assumes value oracle access to f and membership oracles for the matroids defining the p-matchoid constraint.

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