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Erschienen in:
2016 | OriginalPaper | Buchkapitel
3. Evolutionary Global Optimization on Manifolds
verfasst von : Hime Aguiar e Oliveira Junior
Erschienen in: Evolutionary Global Optimization, Manifolds and Applications
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Abstract
In this chapter it is described an approach to globally optimize real valued functions defined on topological manifolds. The functions under investigation do not need to be differentiable or even continuous. It is shown that optimization processes may take place so that candidate points remain restricted to the manifolds that contain their domains—the evolution occurs inside them during the entire optimization process. The presented paradigm is adequate for use with virtually all already existing metaheuristics, but here the algorithm known as Fuzzy Adaptive Simulated Annealing (Fuzzy ASA) is used in order to exemplify the overall scheme. After exposing the fundamental ideas, some examples will illustrate the efficacy of the proposed method.