Operations Research Transactions ›› 2020, Vol. 24 ›› Issue (2): 73-86.doi: 10.15960/j.cnki.issn.1007-6093.2020.02.006

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A survey on streaming algorithms for maximizing submodular functions

YANG Ruiqi1, XU Dachuan1, DU Donglei2, ZHANG Dongmei3,*   

  1. 1. School of Mathematics, Beijing University of Technology, Beijing 100124, China;
    2. Faculty of Business, University of New Brunswick, Fredericton, NB E3B 5A3, Canada;
    3. School of Computer Science and Technology, Shandong Jianzhu University, Jinan 250101, China
  • Received:2020-04-21 Published:2020-06-13

Abstract: While submodular function optimization has been studied extensively in computer science, mathematics, and economics, etc., submodular optimization in big data environment is a relatively new field that has attracted many attentions recently. In particular, submodular optimization with streaming data is the focus of this work. Facing real-time streaming data revealed in real time, the goal is to select a sparse subset satisfying certain desirable features from the stream to maximize certain submodular utility function. The main purpose of this paper is to provide suggestions for future research on this important class of problems. We introduce the threshold and preemption methods for the streaming submodular maximization problem. We also investigate the development of streaming algorithms for some variants of submodular maximization problems.

Key words: submodular maximization, big data, streaming algorithms

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