Title
An Efficient Streaming Algorithm for the Submodular Cover Problem.
Abstract
We initiate the study of the classical Submodular Cover (SC) problem in the data streaming model which we refer to as the Streaming Submodular Cover (SSC). We show that any single pass streaming algorithm using sublinear memory in the size of the stream will fail to provide any non-trivial approximation guarantees for SSC. Hence, we consider a relaxed version of SSC, where we only seek to find a partial cover. We design the first Efficient bicriteria Submodular Cover Streaming (ESC-Streaming) algorithm for this problem, and provide theoretical guarantees for its performance supported by numerical evidence. Our algorithm finds solutions that are competitive with the near-optimal offline greedy algorithm despite requiring only a single pass over the data stream. In our numerical experiments, we evaluate the performance of ESC-Streaming on active set selection and large-scale graph cover problems.
Year
Venue
DocType
2016
ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 29 (NIPS 2016)
Conference
Volume
ISSN
Citations 
29
1049-5258
0
PageRank 
References 
Authors
0.34
0
6
Name
Order
Citations
PageRank
Ashkan Norouzi-Fard155.84
Abbas Bazzi251.43
marwa elhalabi380.94
Ilija Bogunovic4297.33
Ya-Ping Hsieh5205.09
Volkan Cevher61860141.56