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Evaluating the Population Size Adaptation Mechanism for CMA-ES on the BBOB Noisy Testbed

Published: 20 July 2016 Publication History

Abstract

The CMA-ES with a population size adaptation mechanism is benchmarked on the BBOB noisy testbed. The population size is adapted online based on the signal-to-noise ratio of the update of the distribution parameters such as the mean vector and the covariance matrix. Four variants of the population adaptation mechanism with a random restart strategy and the BIPOP-CMA-ES are compared.

References

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Y. Akimoto, Y. Nagata, I. Ono, and S. Kobayashi. Bidirectional relation between CMA evolution strategies and natural evolution strategies. In Parallel Problem Solving from Nature -- PPSN XI, pages 154--163, Springer-Verlag, 2010.
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S. Finck, N. Hansen, R. Ros, and A. Auger. Real-parameter black-box optimization benchmarking 2010: Presentation of the noisy functions. Technical Report 2009/21, Research Center PPE, 2010.
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N. Hansen. Benchmarking a BI-population CMA-ES on the BBOB-2009 function testbed. In Workshop Proceedings of the GECCO Genetic and Evolutionary Computation Conference, pages 2389--2395, New York, New York, USA, 2009. ACM Press.
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N. Hansen. Benchmarking a BI-population CMA-ES on the BBOB-2009 noisy testbed. In GECCO '09: Proceedings of the 11th Annual Conference Companion on Genetic and Evolutionary Computation Conference: Late Breaking Papers. ACM Request Permissions, July 2009.
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N. Hansen, A. Auger, S. Finck, and R. Ros.Real-parameter black-box optimization benchmarking 2012: Experimental setup. Technical report, INRIA, 2012.
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N. Hansen, S. Finck, R. Ros, and A. Auger. Real-parameter black-box optimization benchmarking 2009: Noisy functions definitions. Technical Report RR-6869, INRIA, 2009. Updated February 2010.
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N. Hansen, A. S. P. Niederberger, L. Guzzella, and P. Koumoutsakos. A Method for Handling Uncertainty in Evolutionary Optimization With an Application to Feedback Control of Combustion. IEEE Transactions on Evolutionary Computation, 13(1):180--197, 2009.
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K. Nishida and Y. Akimoto. Evaluating the population size adaptation mechanism for CMA-ES on the BBOB noiseless testbed. In Workshop Proceedings of Genetic and Evolutionary Computation Conference, ACM, 2016. To appear.
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K. Nishida and Y. Akimoto. Population size adaptation for the cma-es based on the estimation accuracy of the natural gradient. In Genetic and Evolutionary Computation Conference, GECCO 2016, Denver, Colorado, USA, July 20-24, 2016, ACM, 2016. To appear.
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Cited By

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  • (2024)Adapting the population size in CMA-ES using nearest-better clustering method for multimodal optimizationApplied Soft Computing10.1016/j.asoc.2024.112361167(112361)Online publication date: Dec-2024
  • (2018)An Insight into Bio-inspired and Evolutionary Algorithms for Global Optimization: Review, Analysis, and Lessons Learnt over a Decade of CompetitionsCognitive Computation10.1007/s12559-018-9554-010:4(517-544)Online publication date: 27-Apr-2018

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  1. Evaluating the Population Size Adaptation Mechanism for CMA-ES on the BBOB Noisy Testbed

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    cover image ACM Conferences
    GECCO '16 Companion: Proceedings of the 2016 on Genetic and Evolutionary Computation Conference Companion
    July 2016
    1510 pages
    ISBN:9781450343237
    DOI:10.1145/2908961
    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 the author(s) 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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    Publication History

    Published: 20 July 2016

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    Author Tags

    1. benchmarking
    2. black-box optimization
    3. covariance matrix adaptation
    4. noise handling
    5. population size adaptation

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    GECCO '16
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    GECCO '16: Genetic and Evolutionary Computation Conference
    July 20 - 24, 2016
    Colorado, Denver, USA

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    GECCO '16 Companion Paper Acceptance Rate 137 of 381 submissions, 36%;
    Overall Acceptance Rate 1,669 of 4,410 submissions, 38%

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    View all
    • (2024)Adapting the population size in CMA-ES using nearest-better clustering method for multimodal optimizationApplied Soft Computing10.1016/j.asoc.2024.112361167(112361)Online publication date: Dec-2024
    • (2018)An Insight into Bio-inspired and Evolutionary Algorithms for Global Optimization: Review, Analysis, and Lessons Learnt over a Decade of CompetitionsCognitive Computation10.1007/s12559-018-9554-010:4(517-544)Online publication date: 27-Apr-2018

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