English

Diversity Enhancement via Magnitude

Neural and Evolutionary Computing 2023-03-15 v1 Optimization and Control

Abstract

Promoting and maintaining diversity of candidate solutions is a key requirement of evolutionary algorithms in general and multi-objective evolutionary algorithms in particular. In this paper, we use the recently developed theory of magnitude to construct a gradient flow and similar notions that systematically manipulate finite subsets of Euclidean space to enhance their diversity, and apply the ideas in service of multi-objective evolutionary algorithms. We demonstrate diversity enhancement on benchmark problems using leading algorithms, and discuss extensions of the framework.

Keywords

Cite

@article{arxiv.2201.10037,
  title  = {Diversity Enhancement via Magnitude},
  author = {Steve Huntsman},
  journal= {arXiv preprint arXiv:2201.10037},
  year   = {2023}
}
R2 v1 2026-06-24T09:01:15.908Z