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A simple two-module problem to exemplify building-block assembly under crossover

A simple two-module problem to exemplify building-block assembly under crossover
A simple two-module problem to exemplify building-block assembly under crossover
Theoretically and empirically it is clear that a genetic algorithm with crossover will outperform a genetic algorithm without crossover in some fitness landscapes, and vice versa in other landscapes. Despite an extensive literature on the subject, and recent proofs of a principled distinction in the abilities of crossover and non-crossover algorithms for a particular theoretical landscape, building general intuitions about when and why crossover performs well when it does is a different matter. In particular, the proposal that crossover might enable the assembly of good building-blocks has been difficult to verify despite many attempts at idealized building-block landscapes. Here we show the first example of a two-module problem that shows a principled advantage for cross-over. This allows us to understand building-block assembly under crossover quite straightforwardly and build intuition about more general landscape classes favoring crossover or disfavoring it.
161-171
Springer
Watson, Richard A.
ce199dfc-d5d4-4edf-bd7b-f9e224c96c75
Yao, X.
, et al.
Watson, Richard A.
ce199dfc-d5d4-4edf-bd7b-f9e224c96c75
Yao, X.
, et al.

Watson, Richard A. (2004) A simple two-module problem to exemplify building-block assembly under crossover. Yao, X. and , et al. (eds.) In Parallel Problem Solving from Nature - PPSN VIII. PPSN 2004. vol. 3242, Springer. pp. 161-171 . (doi:10.1007/978-3-540-30217-9_17).

Record type: Conference or Workshop Item (Paper)

Abstract

Theoretically and empirically it is clear that a genetic algorithm with crossover will outperform a genetic algorithm without crossover in some fitness landscapes, and vice versa in other landscapes. Despite an extensive literature on the subject, and recent proofs of a principled distinction in the abilities of crossover and non-crossover algorithms for a particular theoretical landscape, building general intuitions about when and why crossover performs well when it does is a different matter. In particular, the proposal that crossover might enable the assembly of good building-blocks has been difficult to verify despite many attempts at idealized building-block landscapes. Here we show the first example of a two-module problem that shows a principled advantage for cross-over. This allows us to understand building-block assembly under crossover quite straightforwardly and build intuition about more general landscape classes favoring crossover or disfavoring it.

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Published date: 2004
Organisations: Agents, Interactions & Complexity

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Local EPrints ID: 262005
URI: http://eprints.soton.ac.uk/id/eprint/262005
PURE UUID: d49189c6-5ece-4009-b407-477f7e2d1d2e
ORCID for Richard A. Watson: ORCID iD orcid.org/0000-0002-2521-8255

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Date deposited: 21 Feb 2006
Last modified: 16 Mar 2024 03:42

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Author: Richard A. Watson ORCID iD
Editor: X. Yao
Editor: et al.

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