Skip to main content

Density-Based Population Initialization Strategy for Continuous Optimization

  • Conference paper
  • First Online:
Bio-Inspired Computing: Theories and Applications (BIC-TA 2020)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1363))

Abstract

The population initialization is the first and crucial step in many swarm intelligence and evolutionary algorithms. In this paper, we propose a new density-based population initialization strategy, which is concerned about both uniformity and randomness of the initial population. In experiments, first, the empty space statistic is adopted to indicate its favorable uniformity. Then, the proposed strategy is used to generate an initial population for CMA-ES, and compared with typical initialization strategies over the CEC-2013 multimodal optimization benchmark. The experimental results demonstrate that the density-based initialization strategy could generate more uniform distribution than the random strategy, and such a strategy is beneficial to evolutionary multimodal optimization.

This work is partly supported by the National Natural Science Foundation of China (No. 61573327).

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 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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

References

  1. Bu, C., Luo, W., Yue, L.: Continuous dynamic constrained optimization with ensemble of locating and tracking feasible regions strategies. IEEE Trans. Evol. Comput. 21(1), 14–33 (2016)

    Article  Google Scholar 

  2. Gao, W.F., Liu, S.Y.: A modified artificial bee colony algorithm. Comput. Oper. Res. 39(3), 687–697 (2012)

    Article  Google Scholar 

  3. Gao, W.F., Liu, S.Y., Huang, L.L.: Particle swarm optimization with chaotic opposition-based population initialization and stochastic search technique. Commun. Nonlinear Sci. Numer. Simul. 17(11), 4316–4327 (2012)

    Article  MathSciNet  Google Scholar 

  4. Gao, Y., Wang, Y.J.: A memetic differential evolutionary algorithm for high dimensional functions’ optimization. In: Proceedings of the Third International Conference on Natural Computation (ICNC 2007), vol. 4, pp. 188–192. IEEE (2007)

    Google Scholar 

  5. Gong, M., Jiao, L., Liu, F., Ma, W.: Immune algorithm with orthogonal design based initialization, cloning, and selection for global optimization. Knowl. Inf. Syst. 25(3), 523–549 (2010)

    Article  Google Scholar 

  6. Hansen, N.: The CMA evolution strategy: a tutorial. arXiv e-prints arXiv:1604.00772 (2016)

  7. Ju, L., Du, Q., Gunzburger, M.: Probabilistic methods for centroidal Voronoi tessellations and their parallel implementations. Parallel Comput. 28(10), 1477–1500 (2002)

    Article  MathSciNet  Google Scholar 

  8. Kazimipour, B., Li, X., Qin, A.K.: Initialization methods for large scale global optimization. In: Proceedings of the 2013 IEEE Congress on Evolutionary Computation (CEC), pp. 2750–2757. IEEE (2013)

    Google Scholar 

  9. Kazimipour, B., Li, X., Qin, A.K.: A review of population initialization techniques for evolutionary algorithms. In: Proceedings of the 2014 IEEE Congress on Evolutionary Computation (CEC), pp. 2585–2592. IEEE (2014)

    Google Scholar 

  10. Leung, Y.W., Wang, Y.: An orthogonal genetic algorithm with quantization for global numerical optimization. IEEE Trans. Evol. Comput. 5(1), 41–53 (2001)

    Article  Google Scholar 

  11. Li, X., Engelbrecht, A., Epitropakis, M.G.: Benchmark functions for CEC’2013 special session and competition on niching methods for multimodal function optimization. RMIT University, Evolutionary Computation and Machine Learning Group, Australia, Technical report (2013)

    Google Scholar 

  12. Luo, W., Zhu, W., Ni, L., Qiao, Y., Yuan, Y.: SCA2: novel efficient swarm clustering algorithm. IEEE Trans. Emerg. Top. Comput. Intell. (2020). https://doi.org/10.1109/TETCI.2019.2961190

  13. Maaranen, H., Miettinen, K., Mäkelä, M.M.: Quasi-random initial population for genetic algorithms. Comput. Math. Appl. 47(12), 1885–1895 (2004)

    Article  MathSciNet  Google Scholar 

  14. Maaranen, H., Miettinen, K., Penttinen, A.: On initial populations of a genetic algorithm for continuous optimization problems. J. Global Optim. 37(3), 405 (2007)

    Article  MathSciNet  Google Scholar 

  15. Ni, L., Luo, W., Zhu, W., Liu, W.: Clustering by finding prominent peaks in density space. Eng. Appl. Artif. Intell. 85, 727–739 (2019)

    Article  Google Scholar 

  16. Parrott, D., Li, X.: Locating and tracking multiple dynamic optima by a particle swarm model using speciation. IEEE Trans. Evol. Comput. 10(4), 440–458 (2006)

    Article  Google Scholar 

  17. Peng, L., Wang, Y., Dai, G., Cao, Z.: A novel differential evolution with uniform design for continuous global optimization. J. Comput. 7(1), 3–10 (2012)

    Article  Google Scholar 

  18. Rahnamayan, S., Tizhoosh, H.R., Salama, M.M.: Opposition-based differential evolution for optimization of noisy problems. In: Proceedings of the 2006 IEEE International Conference on Evolutionary Computation (CEC), pp. 1865–1872. IEEE (2006)

    Google Scholar 

  19. Rahnamayan, S., Tizhoosh, H.R., Salama, M.M.: A novel population initialization method for accelerating evolutionary algorithms. Comput. Math. Appl. 53(10), 1605–1614 (2007)

    Article  MathSciNet  Google Scholar 

  20. Rahnamayan, S., Tizhoosh, H.R., Salama, M.M.: Opposition versus randomness in soft computing techniques. Appl. Soft Comput. 8(2), 906–918 (2008)

    Article  Google Scholar 

  21. Richards, M., Ventura, D.: Choosing a starting configuration for particle swarm optimization. In: Proceedings of the 2004 IEEE International Joint Conference on Neural Networks, pp. 2309–2312. IEEE (2004)

    Google Scholar 

  22. Ripley, B.D.: Spatial Statistics, vol. 575. Wiley, Hoboken (2005)

    MATH  Google Scholar 

  23. Saka, Y., Gunzburger, M., Burkardt, J.: Latinized, improved LHS, and CVT point sets in hypercubes. Int. J. Numer. Anal. Model. 4(3–4), 729–743 (2007)

    MathSciNet  MATH  Google Scholar 

  24. Shi, Y.: Brain storm optimization algorithm. In: Tan, Y., Shi, Y., Chai, Y., Wang, G. (eds.) ICSI 2011. LNCS, vol. 6728, pp. 303–309. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-21515-5_36

    Chapter  Google Scholar 

  25. Uy, N.Q., Hoai, N.X., McKay, R.I., Tuan, P.M.: Initialising PSO with randomised low-discrepancy sequences: the comparative results. In: Proceedings of the 2007 IEEE Congress on Evolutionary Computation (CEC), pp. 1985–1992. IEEE (2007)

    Google Scholar 

  26. Wand, M.P., Jones, M.C.: Kernel Smoothing. CRC Press, Boca Raton (1994)

    Book  Google Scholar 

  27. Wu, Q.: On the optimality of orthogonal experimental design. Acta Mathematicae Applacatae Sinica 1(4), 283–299 (1978)

    MathSciNet  Google Scholar 

  28. Xu, P., Luo, W., Lin, X., Qiao, Y., Zhu, T.: Hybrid of PSO and CMA-ES for global optimization. In: Proceeding of the 2019 IEEE Congress on Evolutionary Computation (CEC), pp. 27–33. IEEE (2019)

    Google Scholar 

  29. Zhu, W., Luo, W., Ni, L., Lu, N.: Swarm clustering algorithm: Let the particles fly for a while. In: 2018 IEEE Symposium Series on Computational Intelligence (SSCI), pp. 1242–1249. IEEE (2018)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Wenjian Luo .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Xu, P., Luo, W., Xu, J., Qiao, Y., Zhang, J. (2021). Density-Based Population Initialization Strategy for Continuous Optimization. In: Pan, L., Pang, S., Song, T., Gong, F. (eds) Bio-Inspired Computing: Theories and Applications. BIC-TA 2020. Communications in Computer and Information Science, vol 1363. Springer, Singapore. https://doi.org/10.1007/978-981-16-1354-8_5

Download citation

  • DOI: https://doi.org/10.1007/978-981-16-1354-8_5

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-16-1353-1

  • Online ISBN: 978-981-16-1354-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics