Locally-adaptive and memetic evolutionary pattern search algorithms.

William E Hart

doi:10.1162/106365603321828998

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Locally-adaptive and memetic evolutionary pattern search algorithms.

William E Hart

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Abstract

Recent convergence analyses of evolutionary pattern search algorithms (EPSAs) have shown that these methods have a weak stationary point convergence theory for a broad class of unconstrained and linearly constrained problems. This paper describes how the convergence theory for EPSAs can be adapted to allow each individual in a population to have its own mutation step length (similar to the design of evolutionary programing and evolution strategies algorithms). These are called locally-adaptive EPSAs (LA-EPSAs) since each individual's mutation step length is independently adapted in different local neighborhoods. The paper also describes a variety of standard formulations of evolutionary algorithms that can be used for LA-EPSAs. Further, it is shown how this convergence theory can be applied to memetic EPSAs, which use local search to refine points within each iteration.

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Algorithms Biological Evolution Computer Simulation Models, Genetic Models, Statistical Mutation Recombination, Genetic Journal Article Research Support, U.S. Gov't, Non-P.H.S.

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William E Hart. 2003. Locally-adaptive and memetic evolutionary pattern search algorithms.. https://doi.org/10.1162/106365603321828998

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