Title
Non-monotone Submodular Maximization in Exponentially Fewer Iterations.
Abstract
In this paper we consider parallelization for applications whose objective can be expressed as maximizing a non-monotone submodular function under a cardinality constraint. Our main result is an algorithm whose approximation is arbitrarily close to 1/2e in O( log(2) n) adaptive rounds, where n is the size of the ground set. This is an exponential speedup in parallel running time over any previously studied algorithm for constrained non-monotone submodular maximization. Beyond its provable guarantees, the algorithm performs well in practice. Specifically, experiments on traffic monitoring and personalized data summarization applications show that the algorithm finds solutions whose values are competitive with state-of-the-art algorithms while running in exponentially fewer parallel iterations.
Year
Venue
Keywords
2018
ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 31 (NIPS 2018)
constant factors,submodular maximization,submodular function,traffic monitoring
DocType
Volume
ISSN
Conference
31
1049-5258
Citations 
PageRank 
References 
3
0.40
0
Authors
3
Name
Order
Citations
PageRank
eric balkanski1386.13
Breuer, Adam250.82
Yaron Singer351637.15