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Adaptive discretization on multidimensional continuous search spaces

Published: 12 July 2008 Publication History

Abstract

This paper extends an adaptive discretization method, Split-on-Demand (SoD), to be capable of handling multidimensional continuous search spaces. The proposed extension is called multidimensional Split-on-Demand (mSoD), which considers multiple dimensions of the search space as a whole instead of independently discretizing each dimension as SoD does. In this study, we integrate mSoD and SoD with the extended compact genetic algorithm (ECGA) to numerically examine the effectiveness and performance of mSoD and SoD on the problems with and without linkage among dimensions of the search space. The experimental results indicate that mSoD outperforms SoD on both types of the test problems and that mSoD can offer better scalability, stability, and accuracy. The behavior of mSoD is discussed, followed by the potential future work.

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Cited By

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  • (2011)An Evolutionary Algorithm That Makes Decision Based on the Entire Previous Search HistoryIEEE Transactions on Evolutionary Computation10.1109/TEVC.2010.204018015:6(741-769)Online publication date: Dec-2011

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  1. Adaptive discretization on multidimensional continuous search spaces

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      cover image ACM Conferences
      GECCO '08: Proceedings of the 10th annual conference on Genetic and evolutionary computation
      July 2008
      1814 pages
      ISBN:9781605581309
      DOI:10.1145/1389095
      • Conference Chair:
      • Conor Ryan,
      • Editor:
      • Maarten Keijzer
      Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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      Published: 12 July 2008

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      Author Tags

      1. ECGA
      2. SoD
      3. adaptive discretization
      4. extended compact genetic algorithm
      5. mSoD
      6. multidimensional split-on-demand
      7. real-parameter optimization
      8. split-on-demand

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      • (2011)An Evolutionary Algorithm That Makes Decision Based on the Entire Previous Search HistoryIEEE Transactions on Evolutionary Computation10.1109/TEVC.2010.204018015:6(741-769)Online publication date: Dec-2011

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