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Gradient-Guided Local Search for IGD/IGDPlus Subset Selection

Published: 14 July 2024 Publication History

Abstract

Subset selection is always a hot topic in the community of evolutionary multi-objective optimization (EMO) since it is used in mating selection, environmental selection, and final selection. In the first two scenarios, the task of subset selection algorithms is to select a subset from a small candidate set (e.g., population). However, in the last scenario, it is to select a subset from an unbounded archive with all non-dominated solutions examined during the evolutionary process. Most existing subset selection algorithms aim to improve the hypervolume of subsets (i.e., hypervolume subset selection) selected from the archive. However, only a few researchers work on the IGD and IGD+ (two well-known indicators) subset selection in the last scenario. In this paper, we propose a gradient-guided local search algorithm for IGD/IGD+ subset selection problems. The experimental results show that the proposed algorithm is much faster than the existing lazy greedy inclusion IGD/IGD+ subset selection algorithm, and the quality of the selected subsets is competitive with that selected by the existing greedy algorithms.

References

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cover image ACM Conferences
GECCO '24: Proceedings of the Genetic and Evolutionary Computation Conference
July 2024
1657 pages
ISBN:9798400704949
DOI:10.1145/3638529
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than the author(s) must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected].

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Publication History

Published: 14 July 2024

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Author Tags

  1. evolutionary multi-objective optimization (EMO)
  2. local search subset selection
  3. inverted generational distance (IGD)
  4. inverted generational distance+ (IGD+)

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GECCO '24
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GECCO '24: Genetic and Evolutionary Computation Conference
July 14 - 18, 2024
VIC, Melbourne, Australia

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