A detecting peak's number technique for multimodal function optimization

Authors:
Qiang Hua;Bin Wu;Hao Tian
Affiliations:
Machine Learning Center, Faculty of Mathematics and Computer Science, Hebei University, Baoding, China;Machine Learning Center, Faculty of Mathematics and Computer Science, Hebei University, Baoding, China;Department of Planning and Development, Handan Iron&Steel Co., Ltd., Handan, China
Venue:
EC'07 Proceedings of the 8th Conference on 8th WSEAS International Conference on Evolutionary Computing - Volume 8
Year:
2007

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Abstract

We propose a Detecting Peak's Number (DPN) technique for multimodal optimization. In DPN, we use the idea of orthogonal intersection to detect peak's number in every one-dimension direction as the result of detecting of locally multimodal domain. At last we design an evolution algorithm (DPNA) based on the characters of DNP technique, which mainly are variable population and variable radius, and give a series of experiments which show the effectiveness of algorithm, as the DPNA is not only adapting to obtaining multiple optima or suboptima, but also effective for problem of ill-scaled and locally multimodal domain described in [1].