Set Function Optimization

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  • 1 Department of Computer Science, University of Texas at Dallas, Richardson, TX 75080, USA;
    2 Department of Computer Science, Zhejiang Normal University, Jinhua 321004, Zhejiang, China

Received date: 2018-10-16

  Revised date: 2018-11-05

  Online published: 2019-10-08

Supported by

This research is supported by the National Natural Science Foundation of China (Nos.11771013,115310 11) and National Science Foundation (No.1747818).

Abstract

This article is an introduction to recent development of optimization theory on set functions, the nonsubmodular optimization, which contains two interesting results, DS (difference of submodular) functions decomposition and sandwich theorem, together with iterated sandwich method and data-dependent approximation. Some potential research problems will be mentioned.

Cite this article

Wei-Li Wu, Zhao Zhang, Ding-Zhu Du . Set Function Optimization[J]. Journal of the Operations Research Society of China, 2019 , 7(2) : 183 -193 . DOI: 10.1007/s40305-018-0233-3

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