Title
A New Framework for Distributed Submodular Maximization
Abstract
A wide variety of problems in machine learning, including exemplar clustering, document summarization, and sensor placement, can be cast as constrained submodular maximization problems. A lot of recent effort has been devoted to developing distributed algorithms for these problems. However, these results suffer from high number of rounds, suboptimal approximation ratios, or both. We develop a framework for bringing existing algorithms in the sequential setting to the distributed setting, achieving near optimal approximation ratios for many settings in only a constant number of MapReduce rounds. Our techniques also give a fast sequential algorithm for non-monotone maximization subject to a matroid constraint.
Year
DOI
Venue
2015
10.1109/FOCS.2016.74
2016 IEEE 57th Annual Symposium on Foundations of Computer Science (FOCS)
Keywords
Field
DocType
Distributed submodular maximization,MapReduce,approximation algorithms
Matroid,Mathematical optimization,Submodular set function,Document summarization,Submodular maximization,Theoretical computer science,Distributed algorithm,Cluster analysis,Sequential algorithm,Mathematics,Maximization
Journal
Volume
ISSN
ISBN
abs/1507.03719
0272-5428
978-1-5090-3934-0
Citations 
PageRank 
References 
13
0.90
21
Authors
4
Name
Order
Citations
PageRank
Rafael da Ponte Barbosa1351.78
Alina Ene240925.47
Huy L. Nguyen337632.33
Justin Ward41017.33