Global Approximation of Local Optimality: Nonsubmodular Optimization

doi:10.1007/s40305-023-00475-3

Journal of the Operations Research Society of China ›› 2025, Vol. 13 ›› Issue (2): 440-451.doi: 10.1007/s40305-023-00475-3

收稿日期:2022-10-05 修回日期:2022-12-16 出版日期:2025-06-30 发布日期:2025-07-07
作者简介:Wei-Li Wu,E-mail:weiliwu@utdallas.edu

Global Approximation of Local Optimality: Nonsubmodular Optimization

Wei-Li Wu¹, Zhao Zhang², Ding-Zhu Du¹

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

Received:2022-10-05 Revised:2022-12-16 Online:2025-06-30 Published:2025-07-07
Contact: Zhao Zhang, Ding-Zhu Du E-mail:hxhzz@sina.com;dzdu@utdallas.edu
Supported by:
This research is supported in part by the National Natural Science Foundation of China (No. U20A2068), Zhejiang Provincial Natural Science Foundation of China (No. LD19A010001), and Natural Science Foundation of USA (No. 1907472).

摘要/Abstract

Abstract: In the study of information technology, one of the important efforts is made on dealing with nonsubmodular optimizations since there are many such problems raised in various areas of computer and information science. Usually, nonsubmodular optimization problems are NP-hard. Therefore, design and analysis of approximation algorithms are important tasks in the study of nonsubmodular optimizations. However, the traditional methods do not work well. Therefore, a new method, the global approximation of local optimality, is proposed recently. In this paper, we give an extensive study for this new methodology.

Key words: Global approximation, Local optimality, Nonsubmodular optimization

中图分类号:

68W25

. [J]. Journal of the Operations Research Society of China, 2025, 13(2): 440-451.

Wei-Li Wu, Zhao Zhang, Ding-Zhu Du. Global Approximation of Local Optimality: Nonsubmodular Optimization[J]. Journal of the Operations Research Society of China, 2025, 13(2): 440-451.

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Global Approximation of Local Optimality: Nonsubmodular Optimization

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