Title
A Parallel Double Greedy Algorithm for Submodular Maximization.
Abstract
We study parallel algorithms for the problem of maximizing a non-negative submodular function. Our main result is an algorithm that achieves a nearly-optimal $1/2 -epsilon$ approximation using $O(log(1/epsilon) / epsilon)$ parallel rounds of function evaluations. Our algorithm is based on a continuous variant of the double greedy algorithm of Buchbinder et al. that achieves the optimal $1/2$ approximation in the sequential setting. Our algorithm applies more generally to the problem of maximizing a continuous diminishing-returns (DR) function.
Year
Venue
DocType
2018
arXiv: Data Structures and Algorithms
Journal
Volume
Citations 
PageRank 
abs/1812.01591
1
0.36
References 
Authors
0
3
Name
Order
Citations
PageRank
Alina Ene140925.47
Huy L. Nguyen237632.33
Adrian Vladu338813.29