On a high-dimensional objective genetic algorithm and its nonlinear dynamic properties (Q635133)
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scientific article; zbMATH DE number 5940357
| Language | Label | Description | Also known as |
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| English | On a high-dimensional objective genetic algorithm and its nonlinear dynamic properties |
scientific article; zbMATH DE number 5940357 |
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On a high-dimensional objective genetic algorithm and its nonlinear dynamic properties (English)
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19 August 2011
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The paper presents a high-dimensional objective genetic algorithm which employs the principle of Shannon entropy for high-dimensional objective optimization. The nonlinear dynamic properties of the algorithm are discussed by a martingale analysis approach. Some mathematical derivations of the convergence theorems are obtained. The numerical behavior of the proposed algorithm is illustrated by two specific examples with two and twenty quadratic objective functions.
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evolutionary algorithm
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martingale
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convergence
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numerical examples
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genetic algorithm
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Shannon entropy
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high-dimensional objective optimization
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