IDEAS home Printed from https://ideas.repec.org/a/gam/jftint/v16y2024i5p172-d1395999.html
   My bibliography  Save this article

Using Optimization Techniques in Grammatical Evolution

Author

Listed:
  • Ioannis G. Tsoulos

    (Department of Informatics and Telecommunications, University of Ioannina, 47150 Kostaki Artas, Greece)

  • Alexandros Tzallas

    (Department of Informatics and Telecommunications, University of Ioannina, 47150 Kostaki Artas, Greece)

  • Evangelos Karvounis

    (Department of Informatics and Telecommunications, University of Ioannina, 47150 Kostaki Artas, Greece)

Abstract

The Grammatical Evolution technique has been successfully applied to a wide range of problems in various scientific fields. However, in many cases, techniques that make use of Grammatical Evolution become trapped in local minima of the objective problem and fail to reach the optimal solution. One simple method to tackle such situations is the usage of hybrid techniques, where local minimization algorithms are used in conjunction with the main algorithm. However, Grammatical Evolution is an integer optimization problem and, as a consequence, techniques should be formulated that are applicable to it as well. In the current work, a modified version of the Simulated Annealing algorithm is used as a local optimization procedure in Grammatical Evolution. This approach was tested on the Constructed Neural Networks and a remarkable improvement of the experimental results was shown, both in classification data and in data fitting cases.

Suggested Citation

  • Ioannis G. Tsoulos & Alexandros Tzallas & Evangelos Karvounis, 2024. "Using Optimization Techniques in Grammatical Evolution," Future Internet, MDPI, vol. 16(5), pages 1-20, May.
  • Handle: RePEc:gam:jftint:v:16:y:2024:i:5:p:172-:d:1395999
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1999-5903/16/5/172/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/1999-5903/16/5/172/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Trevor Hastie & Robert Tibshirani, 1987. "Non‐Parametric Logistic and Proportional Odds Regression," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 36(3), pages 260-276, November.
    2. Lim, A. & Rodrigues, B. & Zhang, X., 2006. "A simulated annealing and hill-climbing algorithm for the traveling tournament problem," European Journal of Operational Research, Elsevier, vol. 174(3), pages 1459-1478, November.
    3. Adam Tauman Kalai & Santosh Vempala, 2006. "Simulated Annealing for Convex Optimization," Mathematics of Operations Research, INFORMS, vol. 31(2), pages 253-266, May.
    4. Noorian, Farzad & de Silva, Anthony M. & Leong, Philip H. W., 2016. "gramEvol: Grammatical Evolution in R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 71(i01).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Stephen Baumert & Archis Ghate & Seksan Kiatsupaibul & Yanfang Shen & Robert L. Smith & Zelda B. Zabinsky, 2009. "Discrete Hit-and-Run for Sampling Points from Arbitrary Distributions Over Subsets of Integer Hyperrectangles," Operations Research, INFORMS, vol. 57(3), pages 727-739, June.
    2. Etienne de Klerk & Monique Laurent, 2018. "Comparison of Lasserre’s Measure-Based Bounds for Polynomial Optimization to Bounds Obtained by Simulated Annealing," Mathematics of Operations Research, INFORMS, vol. 43(4), pages 1317-1325, November.
    3. Lovász, L. & Deák, I., 2012. "Computational results of an O∗(n4) volume algorithm," European Journal of Operational Research, Elsevier, vol. 216(1), pages 152-161.
    4. Hoshino, Richard & Kawarabayashi, Ken-ichi, 2011. "A multi-round generalization of the traveling tournament problem and its application to Japanese baseball," European Journal of Operational Research, Elsevier, vol. 215(2), pages 481-497, December.
    5. Bender Marco & Westphal Stephan, 2016. "A combined approximation for the traveling tournament problem and the traveling umpire problem," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 12(3), pages 139-149, September.
    6. Alireza Tajbakhsh & Kourosh Eshghi & Azam Shamsi, 2012. "A hybrid PSO-SA algorithm for the travelling tournament problem," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 6(1), pages 2-25.
    7. Kadri Sylejmani & Edon Gashi & Adrian Ymeri, 2023. "Simulated annealing with penalization for university course timetabling," Journal of Scheduling, Springer, vol. 26(5), pages 497-517, October.
    8. de Klerk, Etienne & Laurent, Monique, 2017. "Comparison of Lasserre's Measure-based Bounds for Polynomial Optimization to Bounds Obtained by Simulated Annealing," Other publications TiSEM 7a865ba0-bffb-43fb-a376-7, Tilburg University, School of Economics and Management.
    9. Zachary Porreca, 2024. "A Note on Uncertainty Quantification for Maximum Likelihood Parameters Estimated with Heuristic Based Optimization Algorithms," Papers 2401.07176, arXiv.org.
    10. Sarojini M. Attili & Sean T. Mackesey & Giorgio A. Ascoli, 2020. "Operations research methods for estimating the population size of neuron types," Annals of Operations Research, Springer, vol. 289(1), pages 33-50, June.
    11. M B Wright, 2009. "50 years of OR in sport," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(1), pages 161-168, May.
    12. Badenbroek, Riley & de Klerk, Etienne, 2022. "Complexity analysis of a sampling-based interior point method for convex optimization," Other publications TiSEM 3d774c6d-8141-4f31-a621-5, Tilburg University, School of Economics and Management.
    13. de Klerk, Etienne & Laurent, Monique, 2018. "Comparison of Lasserre's measure-based bounds for polynomial optimization to bounds obtained by simulated annealing," Other publications TiSEM 78f8f496-dc89-413e-864d-f, Tilburg University, School of Economics and Management.
    14. Riley Badenbroek & Etienne Klerk, 2022. "Simulated Annealing for Convex Optimization: Rigorous Complexity Analysis and Practical Perspectives," Journal of Optimization Theory and Applications, Springer, vol. 194(2), pages 465-491, August.
    15. Brigitte Werners & Thomas Wülfing, 2007. "Optimierung von Spielplänen am Beispiel der Fußball-Bundesliga-Saison 2006/07," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 18(2), pages 207-221, August.
    16. de Klerk, Etienne & Laurent, Monique, 2019. "A survey of semidefinite programming approaches to the generalized problem of moments and their error analysis," Other publications TiSEM d956492f-3e25-4dda-a5e2-e, Tilburg University, School of Economics and Management.
    17. de Klerk, Etienne & Badenbroek, Riley, 2022. "Simulated annealing with hit-and-run for convex optimization: complexity analysis and practical perspectives," Other publications TiSEM 323b4588-65e0-4889-a555-9, Tilburg University, School of Economics and Management.
    18. Huseyin Mete & Yanfang Shen & Zelda Zabinsky & Seksan Kiatsupaibul & Robert Smith, 2011. "Pattern discrete and mixed Hit-and-Run for global optimization," Journal of Global Optimization, Springer, vol. 50(4), pages 597-627, August.
    19. Yun-Chia Liang & Yen-Yu Lin & Angela Hsiang-Ling Chen & Wei-Sheng Chen, 2021. "Variable Neighborhood Search for Major League Baseball Scheduling Problem," Sustainability, MDPI, vol. 13(7), pages 1-18, April.
    20. Richard Hoshino & Ken-ichi Kawarabayashi, 2013. "An Approximation Algorithm for the Bipartite Traveling Tournament Problem," Mathematics of Operations Research, INFORMS, vol. 38(4), pages 720-728, November.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jftint:v:16:y:2024:i:5:p:172-:d:1395999. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.