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Paper · arXiv

SPEA2$^+$: Improved Density Estimation in SPEA2 with Provable Runtime Guarantees

The Strength Pareto Evolutionary Algorithm 2 (SPEA2) is a popular and prominent evolutionary algorithm for solving multi-objective optimisation problems. Despite its popularity, theoretical analyses of SPEA2 have only appeared recently. Moreover, these analyses focus exclusively on how SPEA2 handles non-dominated solutions and disregard the algorithmic components responsible for handling dominated solutions. We conduct a first runtime analysis of SPEA2 for which these components are analysed. We prove that, unlike other prominent algorithms, including NSGA-II, NSGA-III and SMS-EMOA under the same setting of constant population size and duplicate elimination, SPEA2 is unable to cover the P...

AuthorsDuc-Cuong Dang, Andre Opris, Dirk Sudholt
Primary categorycs.NE
Published10 June 2026
Last updated at source10 June 2026
cs.NEcs.AI
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