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Hot off the Press: An Evolutionary Approach for the Computation of ϵ-Locally Optimal Solutions for Multi-Objective Multimodal Optimization
C. H. Hernández Castellanos
A. Rodríguez-Fernandez
Lennart Schäpermeier
Oliver Cuate
H. Trautmann
Oliver Schütze
Jul 2026 · Proceedings of the Genetic and Evolutionary Computation Conference Companion · 0 citations
· 2 references
Abstract
Here we briefly summarize the main findings of the above-mentioned paper by Hernández et al., 2024 [3]. In this paper, we address the computation of finite-size approximations of the set of ϵ-locally optimal solutions of a multi-objective optimization problem (MOP), a problem relevant in multi-objective multimodal optimization (MMMO). We propose a bounded archiver, ArchiveUpdateLQ,ϵB, the algorithm LQ,ϵMOEA, which directly uses this archiver in selection, and a hybrid with a multi-objective continuation method for improved accuracy when gradient information is available. Numerical results demonstrate the benefits of the proposed methods.