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Local Fitness Meta-Models with Nearest Neighbor Regression

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Applications of Evolutionary Computation (EvoApplications 2016)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9598))

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Abstract

In blackbox function optimization, the results of fitness function evaluations can be used to train a regression model. This meta-model can be used to replace function evaluations and thus reduce the number of fitness function evaluations in evolution strategies (ES). In this paper, we show that a reduction of the number of fitness function evaluations of a (1+1)-ES is possible with a combination of a nearest neighbor regression model, a local archive of fitness function evaluations, and a comparatively simple meta-model management. We analyze the reduction of fitness function evaluations on set of benchmark functions.

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Author information

Authors and Affiliations

  1. Computational Intelligence Group, Department of Computing Science, University of Oldenburg, Oldenburg, Germany

    Oliver Kramer

Authors
  1. Oliver Kramer
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Correspondence to Oliver Kramer .

Editor information

Editors and Affiliations

  1. Politecnico di Torino, Turin, Italy

    Giovanni Squillero

  2. Aalborg University, Copenhagen, Denmark

    Paolo Burelli

A Benchmark Functions

A Benchmark Functions

In this work, we employ the following benchmark problems:

  • Sphere \(f(\mathbf {x}) = \sum _{i=1}^d (x_i)^2\)

  • Rosenbrock \(f(\mathbf {x})= \sum _{i=1}^{d-1}\left( 100(x_i^2-x_{i+1})^2+(x_i-1)^2\right) \)

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Kramer, O. (2016). Local Fitness Meta-Models with Nearest Neighbor Regression. In: Squillero, G., Burelli, P. (eds) Applications of Evolutionary Computation. EvoApplications 2016. Lecture Notes in Computer Science(), vol 9598. Springer, Cham. https://doi.org/10.1007/978-3-319-31153-1_1

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  • DOI: https://doi.org/10.1007/978-3-319-31153-1_1

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-31152-4

  • Online ISBN: 978-3-319-31153-1

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