Submodular Optimization in the MapReduce Model

10/02/2018

∙

by   Paul Liu, et al.

∙

0

∙

share

Submodular optimization has received significant attention in both practice and theory, as a wide array of problems in machine learning, auction theory, and combinatorial optimization have submodular structure. In practice, these problems often involve large amounts of data, and must be solved in a distributed way. One popular framework for running such distributed algorithms is MapReduce. In this paper, we present two simple algorithms for cardinality constrained submodular optimization in the MapReduce model: the first is a (1/2-o(1))-approximation in 2 MapReduce rounds, and the second is a (1-1/e-ϵ)-approximation in 1+o(1)/ϵ MapReduce rounds.