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Improving Local Search for Pseudo Boolean Optimization by Fragile Scoring Function and Deep Optimization

Authors Wenbo Zhou , Yujiao Zhao , Yiyuan Wang , Shaowei Cai , Shimao Wang, Xinyu Wang, Minghao Yin

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Wenbo Zhou
  • School of Information Science and Technology, Northeast Normal University, Changchun, China
  • Key Laboratory of Applied Statistics of MOE, Northeast Normal University, Changchun, China
  • Key Laboratory of Symbolic Computation and Knowledge Engineering of MOE, Jilin University, Changchun, China
Yujiao Zhao
  • School of Information Science and Technology, Northeast Normal University, Changchun, China
Yiyuan Wang
  • School of Information Science and Technology, Northeast Normal University, Changchun, China
  • Key Laboratory of Applied Statistics of MOE, Northeast Normal University, Changchun, China
Shaowei Cai
  • State Key Laboratory of Computer Science, Institute of Software, Chinese Academy of Sciences, Beijing, China
  • School of Computer Science and Technology, University of Chinese Academy of Sciences, Beijing, China
Shimao Wang
  • School of Information Science and Technology, Northeast Normal University, Changchun, China
Xinyu Wang
  • School of Information Science and Technology, Northeast Normal University, Changchun, China
Minghao Yin
  • School of Information Science and Technology, Northeast Normal University, Changchun, China
  • Key Laboratory of Applied Statistics of MOE, Northeast Normal University, Changchun, China

Funding

This work is supported by the National Natural Science Foundation of China under Grant No.61806050, the Natural Science Research Foundation of Jilin Province of China under Grant Nos.YDZJ202201ZYTS412 and YDZJ202201ZYTS423, Ministry of Education under Grant No.2021BCF01002, CCF-Huawei Populus Grove Fund, and the Fundamental Research Funds for the Central Universities under Grant Nos.2412023YQ003, 2412022ZD015, 2412022ZD018, 2412022QD040 and 93K172022K10.

Cite As Get BibTex

Wenbo Zhou, Yujiao Zhao, Yiyuan Wang, Shaowei Cai, Shimao Wang, Xinyu Wang, and Minghao Yin. Improving Local Search for Pseudo Boolean Optimization by Fragile Scoring Function and Deep Optimization. In 29th International Conference on Principles and Practice of Constraint Programming (CP 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 280, pp. 41:1-41:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023) https://doi.org/10.4230/LIPIcs.CP.2023.41

Abstract

Pseudo-Boolean optimization (PBO) is usually used to model combinatorial optimization problems, especially for some real-world applications. Despite its significant importance in both theory and applications, there are few works on using local search to solve PBO. This paper develops a novel local search framework for PBO, which has three main ideas. First, we design a two-level selection strategy to evaluate all candidate variables. Second, we propose a novel deep optimization strategy to disturb some search spaces. Third, a sampling flipping method is applied to help the algorithm jump out of local optimum. Experimental results show that the proposed algorithms outperform three state-of-the-art PBO algorithms on most instances.

Subject Classification

ACM Subject Classification
  • Computing methodologies → Search methodologies
Keywords
  • Local Search
  • Pseudo-Boolean Optimization
  • Deep Optimization

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