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Surrogate-Based Modeling and Optimization pp 99–120Cite as

The Efficiency of Difference Mapping in Space Mapping-Based Optimization

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Abstract

In space mapping, a time-consuming but accurate fine model is used along with a less accurate but fast coarse model to reduce the overall computational effort. In this work, techniques using the difference mapping concept will be introduced. These techniques are efficient in reducing the computational effort while improving convergence. Difference mapping is constructed similarly to the mechanism used in space mapping, but, unlike space mapping, it facilitates the use of terminating conditions based on the simultaneous use of input and output values. Rigorous mathematical expressions related to difference mapping techniques will be given, and the improvement provided by these techniques will be discussed. Furthermore, to expose the efficiency of using the difference in input and output, simulation results obtained for high-dimensional applications will be given.

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Authors and Affiliations

  1. Faculty of Aeronautics and Astronautics, Istanbul Technical University, Istanbul, Turkey

    Murat Simsek

  2. Electronics and Communication Engineering, Istanbul Technical University, Istanbul, Turkey

    Neslihan Serap Sengor

Authors
  1. Murat Simsek
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  2. Neslihan Serap Sengor
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Correspondence to Murat Simsek .

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Editors and Affiliations

  1. , Engineering Optimization & Modeling Cent, Reykjavik University, Menntavegur 1, Reykjavik, 101, Iceland

    Slawomir Koziel

  2. School of Science and Engineering, Engineering Optimization & Modeling, Reykjavik University, Menntavegur 1, Reykjavik, 101, Iceland

    Leifur Leifsson

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Simsek, M., Sengor, N.S. (2013). The Efficiency of Difference Mapping in Space Mapping-Based Optimization. In: Koziel, S., Leifsson, L. (eds) Surrogate-Based Modeling and Optimization. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7551-4_5

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