Skip to main content

Confidence-Based Algorithm Parameter Tuning with Dynamic Resampling

  • Conference paper
  • First Online:
Optimization, Learning Algorithms and Applications (OL2A 2022)

Abstract

This work presents an algorithm for tuning the parameters of stochastic search heuristics, the Robust Parameter Searcher (RPS). RPS is based on the Nelder-Mead Simplex algorithm and on confidence-based comparison operators. Whilst the latter algorithm is known for its robustness under noise in objective function evaluation, the confidence-based comparison endows the tuning algorithm with additional resilience against the intrinsic stochasticity which exists in the evaluation of performance of stochastic search heuristics. The proposed methodology was used to tune a Differential Evolution strategy for optimizing real-valued functions, with a limited function evaluation budget. In the computational experiments, RPS performed significantly better than other well-known tuning strategies from the literature.

The authors would like to thank the support by the Brazilian agencies CAPES, CNPq and FAPEMIG.

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 109.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 139.99
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

Notes

  1. 1.

    For an experiment, each sample consists of the best evaluations of objective functions returned in all runs of the tuned DE.

References

  1. Ansótegui, C., Sellmann, M., Tierney, K.: A gender-based genetic algorithm for the automatic configuration of algorithms. In: Gent, I.P. (ed.) CP 2009. LNCS, vol. 5732, pp. 142–157. Springer, Heidelberg (2009). https://doi.org/10.1007/978-3-642-04244-7_14

    Chapter  Google Scholar 

  2. Cáceres, L.P., López-Ibáñez, M., Hoos, H., Stützle, T.: An experimental study of adaptive capping in irace. In: Battiti, R., Kvasov, D.E., Sergeyev, Y.D. (eds.) LION 2017. LNCS, vol. 10556, pp. 235–250. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-69404-7_17

    Chapter  Google Scholar 

  3. Das, S., Suganthan, P.N.: Differential evolution: a survey of the state-of-the-art. evolutionary computation. IEEE Trans. 15(1), 4–31 (2011)

    Google Scholar 

  4. Derrac, J., García, S., Molina, D., Herrera, F.: A practical tutorial on the use of nonparametric statistical tests as a methodology for comparing evolutionary and swarm intelligence algorithms. Swarm Evol. Comput. 1(1), 3–18 (2011)

    Article  Google Scholar 

  5. Eiben, A.E., Smit, S.K.: Parameter tuning for configuring and analyzing evolutionary algorithms. Swarm Evol. Comput. 1(1), 19–31 (2011)

    Article  Google Scholar 

  6. Huang, C., Li, Y., Yao, X.: A survey of automatic parameter tuning methods for metaheuristics. IEEE Trans. Evol. Comput. 24(2), 201–216 (2019)

    Article  Google Scholar 

  7. Hutter, F., Hoos, H.H., Leyton-Brown, K.: Automated configuration of mixed integer programming solvers. In: Lodi, A., Milano, M., Toth, P. (eds.) CPAIOR 2010. LNCS, vol. 6140, pp. 186–202. Springer, Heidelberg (2010). https://doi.org/10.1007/978-3-642-13520-0_23

    Chapter  Google Scholar 

  8. Hutter, F., Hoos, H.H., Leyton-Brown, K.: Sequential model-based optimization for general algorithm configuration. In: Coello, C.A.C. (ed.) LION 2011. LNCS, vol. 6683, pp. 507–523. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-25566-3_40

    Chapter  Google Scholar 

  9. Liang, J., Qu, B., Suganthan, P.: Problem definitions and evaluation criteria for the CEC 2014 special session and competition on single objective real-parameter numerical optimization. Zhengzhou University, Computational Intelligence Laboratory, Tech. rep. (2013)

    Google Scholar 

  10. López-Ibáñez, M., Dubois-Lacoste, J., Cáceres, L.P., Birattari, M., Stützle, T.: The irace package: iterated racing for automatic algorithm configuration. Oper. Res. Perspect. 3, 43–58 (2016)

    MathSciNet  Google Scholar 

  11. Mahmoud, K.: Central force optimization: Nelder-Mead hybrid algorithm for rectangular microstrip antenna design. Electromagnetics 31(8), 578–592 (2011)

    Article  Google Scholar 

  12. Mercer, R.E., Sampson, J.: Adaptive search using a reproductive meta-plan. Kybernetes 7(3), 215–228 (1978)

    Article  Google Scholar 

  13. Montgomery, D.C.: Design and Analysis of Experiments. John Wiley & Sons (2008)

    Google Scholar 

  14. Nannen, V., Eiben, A.E.: Relevance estimation and value calibration of evolutionary algorithm parameters. In: IJCAI, vol. 7, pp. 6–12 (2007)

    Google Scholar 

  15. Nelder, J.A., Mead, R.: A simplex method for function minimization. Comput. J. 7(4), 308–313 (1965)

    Article  MathSciNet  MATH  Google Scholar 

  16. Price, K., Storn, R.M., Lampinen, J.A.: Differential Evolution: a Practical Approach to Global Optimization. Springer Science & Business Media (2006)

    Google Scholar 

  17. Siegmund, F., Ng, A.H., Deb, K.: A comparative study of dynamic resampling strategies for guided evolutionary multi-objective optimization. In: 2013 IEEE Congress on Evolutionary Computation (CEC), pp. 1826–1835. IEEE (2013)

    Google Scholar 

  18. Smit, S.K., Eiben, A.E.: Comparing parameter tuning methods for evolutionary algorithms. In: IEEE Congress on Evolutionary Computation, 2009. CEC 2009, pp. 399–406. IEEE (2009)

    Google Scholar 

  19. Smit, S.K., Eiben, A.E.: Beating the world champion evolutionary algorithm via REVAC tuning. In: 2010 IEEE Congress on Evolutionary Computation (CEC), pp. 1–8. IEEE (2010)

    Google Scholar 

  20. Storn, R., Price, K.: Differential evolution-a simple and efficient adaptive scheme for global optimization over continuous spaces, vol. 3. ICSI Berkeley (1995)

    Google Scholar 

  21. Tanabe, R., Fukunaga, A.: Tuning differential evolution for cheap, medium, and expensive computational budgets. In: 2015 IEEE Congress on Evolutionary Computation (CEC), pp. 2018–2025. IEEE (2015)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to André Rodrigues da Cruz .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

da Cruz, A.R., Takahashi, R.H.C. (2022). Confidence-Based Algorithm Parameter Tuning with Dynamic Resampling. In: Pereira, A.I., Košir, A., Fernandes, F.P., Pacheco, M.F., Teixeira, J.P., Lopes, R.P. (eds) Optimization, Learning Algorithms and Applications. OL2A 2022. Communications in Computer and Information Science, vol 1754. Springer, Cham. https://doi.org/10.1007/978-3-031-23236-7_22

Download citation

  • DOI: https://doi.org/10.1007/978-3-031-23236-7_22

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-23235-0

  • Online ISBN: 978-3-031-23236-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics