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Min-Max Submodular Ranking for Multiple Agents

  • Qingyun Chen
  • , Sungjin Im
  • , Benjamin Moseley
  • , Chenyang Xu
  • , Ruilong Zhang
  • University of California Merced
  • Carnegie Mellon University
  • East China Normal University
  • Zhejiang University
  • City University of Hong Kong

科研成果: 书/报告/会议事项章节会议稿件同行评审

摘要

In the submodular ranking (SR) problem, the input consists of a set of submodular functions defined on a ground set of elements. The goal is to order elements for all the functions to have value above a certain threshold as soon on average as possible, assuming we choose one element per time. The problem is flexible enough to capture various applications in machine learning, including decision trees. This paper considers the min-max version of SR where multiple instances share the ground set. With the view of each instance being associated with an agent, the min-max problem is to order the common elements to minimize the maximum objective of all agents—thus, finding a fair solution for all agents. We give approximation algorithms for this problem and demonstrate their effectiveness in the application of finding a decision tree for multiple agents.

源语言英语
主期刊名AAAI-23 Technical Tracks 6
编辑Brian Williams, Yiling Chen, Jennifer Neville
出版商AAAI press
7061-7068
页数8
ISBN(电子版)9781577358800
DOI
出版状态已出版 - 27 6月 2023
已对外发布
活动37th AAAI Conference on Artificial Intelligence, AAAI 2023 - Washington, 美国
期限: 7 2月 202314 2月 2023

出版系列

姓名Proceedings of the 37th AAAI Conference on Artificial Intelligence, AAAI 2023
37

会议

会议37th AAAI Conference on Artificial Intelligence, AAAI 2023
国家/地区美国
Washington
时期7/02/2314/02/23

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