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Authors: Hongqiang Mo 1 ; Zhong Li 2 and Qiliang Du 1

Affiliations: 1 South China University of Technology, China ; 2 FernUniversitaet in Hagen, Germany

ISBN: 978-989-758-157-1

Keyword(s): Building Block, Encoding, Genetic Algorithm, Schema Processing, Series Expansion.

Related Ontology Subjects/Areas/Topics: Artificial Intelligence ; Computational Intelligence ; Evolutionary Computing ; Genetic Algorithms ; Informatics in Control, Automation and Robotics ; Intelligent Control Systems and Optimization ; Representation Techniques ; Soft Computing

Abstract: In line with the theory of schema sampling, a hypothesis could be made that sufficient supply of loworder building blocks (BBs) was one of the necessary conditions for a genetic algorithm(GA) to work. A consequential question of this hypothesis regards, when a certain fitness function is optimized with a commonly used GA, whether it is rare or common that there are plenty of low-order BBs. It is remarked that, when a base-m encoded GA is applied to a fitness function that is linearly combined of sinusoidal basis functions with integral frequencies, it is unlikely to obtain order-1 BBs with fixed positions at multiple loci, i.e., it is rare that there are plenty of order-1 BBs. However, if a considerable part of the sinusoidal basis functions are with frequencies exponential to a positive integer m, a base-m encoding can provide relatively more order-1 BBs compared with the encodings with cardinalities other than m.

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Paper citation in several formats:
Mo, H.; Li, Z. and Du, Q. (2015). Supply of Order-1 Building Blocks for Functions Linearly Combined of Sinusoidal Bases with Integral Frequencies.In Proceedings of the 7th International Joint Conference on Computational Intelligence - Volume 1: ECTA, ISBN 978-989-758-157-1, pages 133-137. DOI: 10.5220/0005585601330137

@conference{ecta15,
author={Hongqiang Mo. and Zhong Li. and Qiliang Du.},
title={Supply of Order-1 Building Blocks for Functions Linearly Combined of Sinusoidal Bases with Integral Frequencies},
booktitle={Proceedings of the 7th International Joint Conference on Computational Intelligence - Volume 1: ECTA,},
year={2015},
pages={133-137},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005585601330137},
isbn={978-989-758-157-1},
}

TY - CONF

JO - Proceedings of the 7th International Joint Conference on Computational Intelligence - Volume 1: ECTA,
TI - Supply of Order-1 Building Blocks for Functions Linearly Combined of Sinusoidal Bases with Integral Frequencies
SN - 978-989-758-157-1
AU - Mo, H.
AU - Li, Z.
AU - Du, Q.
PY - 2015
SP - 133
EP - 137
DO - 10.5220/0005585601330137

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