Many-Objective Cover Problem : Discovering Few Solutions to Cover Many Objectives

Research output: Chapters, Conference Papers, Creative and Literary WorksRGC 32 - Refereed conference paper (with host publication)peer-review

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Detail(s)

Original languageEnglish
Title of host publicationParallel Problem Solving from Nature – PPSN XVIII
Subtitle of host publication18th International Conference, PPSN 2024, Hagenberg, Austria, September 14–18, 2024, Proceedings, Part IV
EditorsMichael Affenzeller, Stephan M. Winkler, Anna V. Kononova, Heike Trautmann, Tea Tušar, Penousal Machado, Thomas Bäck
Place of PublicationCham
PublisherSpringer 
Pages68-82
ISBN (electronic)978-3-031-70085-9
ISBN (print)978-3-031-70084-2
Publication statusPublished - 2024

Publication series

NameLecture Notes in Computer Science
Volume15151
ISSN (Print)0302-9743
ISSN (electronic)1611-3349

Conference

Title18th International Conference on Parallel Problem Solving from Nature (PPSN 2024)
LocationUniversity of Applied Sciences Upper Austria
PlaceAustria
CityHagenberg
Period14 - 18 September 2024

Abstract

Many-objective optimization (MaO) is a basic issue in various research areas. Although Pareto optimality is a common criterion for MaO, it may bring many troubles when facing a huge number (e.g., up to 100) of objectives. This paper provides a new perspective on MaO by introducing a many-objective cover problem (MaCP). Given m objectives, MaCP aims to find a solution set with size k (1 < k m) to cover all objectives (i.e., each objective can be approximately optimized by at least one solution in this set). We prove the NP-hard property of MaCP and develop a clustering-based swarm optimizer (CluSO) with a convergence guarantee to tackle MaCP. Then, we propose a decoupling many-objective test suite (DC-MaTS) with practical significance and use it to evaluate CluSO. Extensive experimental results on various test problems with up to 100 objectives demonstrate both the efficiency and effectiveness of CluSO, while also illustrating that MaCP is a feasible perspective on MaO. © The Author(s), under exclusive license to Springer Nature Switzerland AG 2024.

Research Area(s)

  • Clustering, Many-objective optimization, Multi-objective optimization, Particle swarm optimization

Citation Format(s)

Many-Objective Cover Problem: Discovering Few Solutions to Cover Many Objectives. / Liu, Yilu; Lu, Chengyu; Lin, Xi et al.
Parallel Problem Solving from Nature – PPSN XVIII: 18th International Conference, PPSN 2024, Hagenberg, Austria, September 14–18, 2024, Proceedings, Part IV. ed. / Michael Affenzeller; Stephan M. Winkler; Anna V. Kononova; Heike Trautmann; Tea Tušar; Penousal Machado; Thomas Bäck. Cham: Springer , 2024. p. 68-82 (Lecture Notes in Computer Science; Vol. 15151).

Research output: Chapters, Conference Papers, Creative and Literary WorksRGC 32 - Refereed conference paper (with host publication)peer-review