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Modeling Building Block Interdependency

Modeling Building Block Interdependency
Modeling Building Block Interdependency
The Building-Block Hypothesis appeals to the notion of problem decomposition and the assembly of solutions from sub-solutions. Accordingly, there have been many varieties of GA test problems with a structure based on building-blocks. Many of these problems use deceptive fitness functions to model interdependency between the bits within a block. However, very few have any model of interdependency between building-blocks; those that do are not consistent in the type of interaction used intra-block and inter-block. This paper discusses the inadequacies of the various test problems in the literature and clarifies the concept of building-block interdependency. We formulate a principled model of hierarchical interdependency that can be applied through many levels in a consistent manner and introduce Hierarchical If-and-only-if (H-IFF) as a canonical example. We present some empirical results of GAs on H-IFF showing that if population diversity is maintained and linkage is tight then the GA is able to identify and manipulate building-blocks over many levels of assembly, as the Building-Block Hypothesis suggests.
97-106
Watson, Richard A.
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Hornby, Gregory S.
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Pollack, Jordan B.
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Eiben, A. E.
c89e3cd0-8c65-48a0-8a6c-7b61a07a9682
Back, T.
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Schoenauer, M.
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Schweffel, H.-B.
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Watson, Richard A.
ce199dfc-d5d4-4edf-bd7b-f9e224c96c75
Hornby, Gregory S.
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Pollack, Jordan B.
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Eiben, A. E.
c89e3cd0-8c65-48a0-8a6c-7b61a07a9682
Back, T.
8a0710c1-351a-4161-99b5-700da0ea558f
Schoenauer, M.
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Schweffel, H.-B.
ef7a51c1-0005-4e18-a062-7a81a3b87c0e

Watson, Richard A., Hornby, Gregory S. and Pollack, Jordan B. , Eiben, A. E., Back, T., Schoenauer, M. and Schweffel, H.-B. (eds.) (1998) Modeling Building Block Interdependency. Proceedings of Parallel Problem Solving from Nature V (PPSN V), 97-106.

Record type: Article

Abstract

The Building-Block Hypothesis appeals to the notion of problem decomposition and the assembly of solutions from sub-solutions. Accordingly, there have been many varieties of GA test problems with a structure based on building-blocks. Many of these problems use deceptive fitness functions to model interdependency between the bits within a block. However, very few have any model of interdependency between building-blocks; those that do are not consistent in the type of interaction used intra-block and inter-block. This paper discusses the inadequacies of the various test problems in the literature and clarifies the concept of building-block interdependency. We formulate a principled model of hierarchical interdependency that can be applied through many levels in a consistent manner and introduce Hierarchical If-and-only-if (H-IFF) as a canonical example. We present some empirical results of GAs on H-IFF showing that if population diversity is maintained and linkage is tight then the GA is able to identify and manipulate building-blocks over many levels of assembly, as the Building-Block Hypothesis suggests.

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Published date: 1998
Organisations: Agents, Interactions & Complexity

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Local EPrints ID: 262013
URI: http://eprints.soton.ac.uk/id/eprint/262013
PURE UUID: 62b30da8-9714-46a6-b483-8aa7ae8d4e46
ORCID for Richard A. Watson: ORCID iD orcid.org/0000-0002-2521-8255

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Date deposited: 21 Feb 2006
Last modified: 15 Mar 2024 03:21

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Contributors

Author: Richard A. Watson ORCID iD
Author: Gregory S. Hornby
Author: Jordan B. Pollack
Editor: A. E. Eiben
Editor: T. Back
Editor: M. Schoenauer
Editor: H.-B. Schweffel

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