清华大学学报自然科学版(英文版)2024,Vol.29Issue(1) :46-55.DOI:10.26599/TST.2022.9010013

Maximizing Submodular+Supermodular Functions Subject to a Fairness Constraint

Zhenning Zhang Kaiqiao Meng Donglei Du Yang Zhou
清华大学学报自然科学版(英文版)2024,Vol.29Issue(1) :46-55.DOI:10.26599/TST.2022.9010013

Maximizing Submodular+Supermodular Functions Subject to a Fairness Constraint

Zhenning Zhang 1Kaiqiao Meng 1Donglei Du 2Yang Zhou3
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作者信息

  • 1. Beijing Institute for Scientific and Engineering Computing,Beijing University of Technology,Beijing 100124,China
  • 2. Faculty of Management,University of New Brunswick,Fredericton E3B 5A3,Canada
  • 3. School of Mathematics and Statistics,Shandong Normal University,Jinan 250014,China
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Abstract

We investigate the problem of maximizing the sum of submodular and supermodular functions under a fairness constraint.This sum function is non-submodular in general.For an offline model,we introduce two approximation algorithms:A greedy algorithm and a threshold greedy algorithm.For a streaming model,we propose a one-pass streaming algorithm.We also analyze the approximation ratios of these algorithms,which all depend on the total curvature of the supermodular function.The total curvature is computable in polynomial time and widely utilized in the literature.

Key words

submodular function/supermodular function/fairness constraint/greedy algorithm/threshold greedy algorithm/streaming algorithm

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基金项目

National Natural Science Foundation of China(12001025)

National Natural Science Foundation of China(12131003)

Spark Fund of Beijing University of Technology(XH-2021-06-03)

Natural Sciences and Engineering Research Council of Canada(283106)

Natural Science Foundation of China(11771386)

Natural Science Foundation of China(11728104)

National Natural Science Foundation of China(12001335)

出版年

2024
清华大学学报自然科学版(英文版)
清华大学

清华大学学报自然科学版(英文版)

CSTPCDEI
影响因子:0.474
ISSN:1007-0214
参考文献量17
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