A Relation Surrogate Model for Expensive Multiobjective Continuous and Combinatorial Optimization

  • Hao Hao*
  • , Aimin Zhou
  • *Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

8 Scopus citations

Abstract

Currently, the research on expensive optimization problems mainly focuses on continuous problems and ignores combinatorial problems, which exist in many real-world applications. Since in surrogate model assisted evolution algorithms (SAEAs), the surrogate models from the community of machine learning are usually designed from continuous problems, and they are not suitable from combinatorial problems. For this reason, we propose a convolution relation model for both continuous and combinatorial problems. In the new relation model, a sample representation method of a relation map is proposed in the data preparation, and the convolution neural network is used to learn the relationships between pairs of candidate solutions. The new method is embedded into a basic multiobjective evolutionary algorithm and applied to a set of continuous and combinatorial problems. The experimental results suggest that the relation model with the same settings can solve continuous and combinatorial problems, and it has an advantage in terms of problem scalability.

Original languageEnglish
Title of host publicationEvolutionary Multi-Criterion Optimization - 12th International Conference, EMO 2023, Proceedings
EditorsMichael Emmerich, André Deutz, Hao Wang, Anna V. Kononova, Boris Naujoks, Ke Li, Kaisa Miettinen, Iryna Yevseyeva
PublisherSpringer Science and Business Media Deutschland GmbH
Pages205-217
Number of pages13
ISBN (Print)9783031272493
DOIs
StatePublished - 2023
Event12th International Conference on Evolutionary Multi-Criterion Optimization, EMO 2023 - Leiden, Netherlands
Duration: 20 Mar 202324 Mar 2023

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume13970 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference12th International Conference on Evolutionary Multi-Criterion Optimization, EMO 2023
Country/TerritoryNetherlands
CityLeiden
Period20/03/2324/03/23

Keywords

  • Combinatorial problems
  • Expensive optimization
  • Multiobjective problem
  • Relation model

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