Skip to main content

Upper Confidence Bound (UCB) Algorithms for Adaptive Operator Selection in MOEA/D

  • Conference paper
  • First Online:
Evolutionary Multi-Criterion Optimization (EMO 2015)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9018))

Included in the following conference series:

Abstract

Adaptive Operator Selection (AOS) is a method used to dynamically determine which operator should be applied in an optimization algorithm based on its performance history. Recently, Upper Confidence Bound (UCB) algorithms have been successfully applied for this task. UCB algorithms have special features to tackle the Exploration versus Exploitation (EvE) dilemma presented on the AOS problem. However, it is important to note that the use of UCB algorithms for AOS is still incipient on Multiobjective Evolutionary Algorithms (MOEAs) and many contributions can be made. The aim of this paper is to extend the study of UCB based AOS methods. Two methods are proposed: MOEA/D-UCB-Tuned and MOEA/D-UCB-V, both use the variance of the operators’ rewards in order to obtain a better EvE tradeoff. In these proposals the UCB-Tuned and UCB-V algorithms from the multiarmed bandit (MAB) literature are combined with MOEA/D (MOEA based on decomposition), one of the most successful MOEAs. Experimental results demonstrate that MOEA/D-UCB-Tuned can be favorably compared with state-of-the-art adaptive operator selection MOEA/D variants based on probability (ENS-MOEA/D and ADEMO/D) and multi-armed bandits (MOEA/D-FRRMAB) methods.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Auer, P.: Using confidence bounds for exploitation-exploration trade-offs. J. Mach. Learn. Res. 3, 397–422 (2003)

    MATH  MathSciNet  Google Scholar 

  2. Auer, P., Cesa-Bianchi, N., Fischer, P.: Finite-time analysis of the multiarmed bandit problem. Mach. Learn. 47(2–3), 235–256 (2002)

    Article  MATH  Google Scholar 

  3. Conover, W.J.: Practical Nonparametric Statistics, 3rd edn. Wiley (1999)

    Google Scholar 

  4. Ehrgott, M.: A discussion of scalarization techniques for multiple objective integer programming. Ann. Oper. Res. 147, 343–360 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  5. Fialho, A.: Adaptive operator selection for optimization. Ph.D. thesis, Comput. Sci. Dept. - Univ. Paris-Sud XI (2010)

    Google Scholar 

  6. Fialho, A., Schoenauer, M., Sebag, M.: Analysis of adaptive operator selection techniques on the royal road and long k-path problems. In: Conference on Genetic and Evolutionary Computation, pp. 779–786 (2009)

    Google Scholar 

  7. Goldberg, D.E.: Probability matching, the magnitude of reinforcement, and classifier system bidding. Mach. Learn. 5, 407–425 (1990)

    Google Scholar 

  8. Gong, W., Fialho, l, Cai, Z., Li, H.: Adaptive strategy selection in differential evolution for numerical optimization: An empirical study. Inform. Sciences 181(24), 5364–5386 (2011)

    Article  MathSciNet  Google Scholar 

  9. Mashwani, Khan: W., Salhi, A.: A decomposition-based hybrid multiobjective evolutionary algorithm with dynamic resource allocation. Appl. Soft Comput. 12(9), 2765–2780 (2012)

    Article  Google Scholar 

  10. Knowles, J., Thiele, L., Zitzler, E.: A Tutorial on the Performance Assessment of Stochastic Multiobjective Optimizers. TIK Report 214, Computer Engineering and Networks Laboratory (TIK), ETH Zurich (February 2006)

    Google Scholar 

  11. Li, K., Fialho, A., Kwong, S., Zhang, Q.: Adaptive operator selection with bandits for a multiobjective evolutionary algorithm based on decomposition. IEEE Transactions on Evolutionary Computation 18(1), 114–130 (2014)

    Article  Google Scholar 

  12. Sato, H.: Inverted PBI in MOEA/D and its impact on the search performance on multi and many-objective optimization. In: Proceedings of the 2014 Conference on Genetic and Evolutionary Computation, GECCO 2014, pp. 645–652. ACM, New York (2014). http://doi.acm.org/10.1145/2576768.2598297

  13. Thierens, D.: An adaptive pursuit strategy for allocating operator probabilities. In: Conference on Genetic and Evolutionary Computation, pp. 1539–1546 (2005)

    Google Scholar 

  14. Venske, S.M., Gonalves, R.A., Delgado, M.R.: ADEMO/D: Multiobjective optimization by an adaptive differential evolution algorithm. Neurocomputing 127, 65–77 (2014), advances in Intelligent Systems Selected papers from the 2012 Brazilian Symposium on Neural Networks

    Google Scholar 

  15. Zhang, Q., Zhou, A., Zhao, S., Suganthan, P.N., Liu, W., Tiwari, S.: Multiobjective optimization test instances for the CEC 2009 special session and competition. Tech. rep., University of Essex and Nanyang Technological University, CES-487 (2008)

    Google Scholar 

  16. Zhang, Q., Liu, W., Li, H.: The performance of a new version of MOEA/D on CEC09 unconstrained mop test instances. In: IEEE Congress on Evolutionary Computation, CEC 2009, pp. 203–208 (May 2009)

    Google Scholar 

  17. Zhao, S.Z., Suganthan, P.N., Zhang, Q.: Decomposition-based multiobjective evolutionary algorithm with an ensemble of neighborhood sizes. IEEE Trans. Evol. Comput. 16(3), 442–446 (2012)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Richard A. Gonçalves .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Gonçalves, R.A., Almeida, C.P., Pozo, A. (2015). Upper Confidence Bound (UCB) Algorithms for Adaptive Operator Selection in MOEA/D. In: Gaspar-Cunha, A., Henggeler Antunes, C., Coello, C. (eds) Evolutionary Multi-Criterion Optimization. EMO 2015. Lecture Notes in Computer Science(), vol 9018. Springer, Cham. https://doi.org/10.1007/978-3-319-15934-8_28

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-15934-8_28

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-15933-1

  • Online ISBN: 978-3-319-15934-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics