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A Study on Fitness Representation in Genetic Programming

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 538))

Abstract

In this paper, we propose a variation on the fitness function in Genetic Programming based on Bias-Variance Genetic Programming (BVGP) [2], called BVGP*. In order to evaluate the effectiveness of this variation, we compare it with Genetic Programming [1] and Bias-Variance Genetic Programming (BVGP) [2]. The experimental results shown that the learned model by BVGP* is better than that of GP and BVGP in ability to generalize, model complexity and evaluation time.

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References

  1. Koza, J.R.: Genetic Programming: on the Programming of Computers by Means of Natural Selection. MIT press, Cambridge (1992)

    MATH  Google Scholar 

  2. Agapitos, A., Brabazon, A., O’Neill, M.: Controlling overfitting in symbolic regression based on a bias/variance error decomposition. In: Coello, C.A.C., Cutello, V., Deb, K., Forrest, S., Nicosia, G., Pavone, M. (eds.) PPSN 2012. LNCS, vol. 7491, pp. 438–447. Springer, Heidelberg (2012). doi:10.1007/978-3-642-32937-1_44

    Chapter  Google Scholar 

  3. Cramer, N.L.: A representation for the adaptive generation of simple sequential programs. In: Proceedings of the First International Conference on Genetic Algorithms, pp. 183–187 (1985)

    Google Scholar 

  4. Nordin, P.: Genetic programming iii-darwinian invention and problem solving. Evol. Comput. 7, 451–453 (1999)

    Article  Google Scholar 

  5. Cohen, P.R.: Empirical Methods for Artificial Intelligence, vol. 139. MIT press, Cambridge (1995)

    MATH  Google Scholar 

  6. Hansen, J.V., Lowry, P.B., Meservy, R.D., McDonald, D.M.: Genetic programming for prevention of cyberterrorism through dynamic and evolving intrusion detection. Decis. Support Syst. 43, 1362–1374 (2007)

    Article  Google Scholar 

  7. Bishop, C.M.: Pattern Recognition and Machine Learning. Springer, New York (2006)

    MATH  Google Scholar 

  8. Fitzgerald, J., Azad, R., Ryan, C.: A bootstrapping approach to reduce over-fitting in genetic programming. In: Proceedings of the 15th Annual Conference Companion on Genetic and Evolutionary Computation, pp. 1113–1120. ACM (2013)

    Google Scholar 

  9. Gonçalves, I., Silva, S., Melo, J.B., Carreiras, J.M.B.: Random sampling technique for overfitting control in genetic programming. In: Moraglio, A., Silva, S., Krawiec, K., Machado, P., Cotta, C. (eds.) EuroGP 2012. LNCS, vol. 7244, pp. 218–229. Springer, Heidelberg (2012). doi:10.1007/978-3-642-29139-5_19

    Chapter  Google Scholar 

  10. Gonçalves, I., Silva, S.: Balancing learning and overfitting in genetic programming with interleaved sampling of training data. In: Krawiec, K., Moraglio, A., Hu, T., Etaner-Uyar, A.Ş., Hu, B. (eds.) EuroGP 2013. LNCS, vol. 7831, pp. 73–84. Springer, Heidelberg (2013). doi:10.1007/978-3-642-37207-0_7

    Chapter  Google Scholar 

  11. Nguyen, T.H., Nguyen, X.H., McKay, B., Nguyen, Q.U.: Where should we stop? An investigation on early stopping for GP learning. In: Bui, L.T., Ong, Y.S., Hoai, N.X., Ishibuchi, H., Suganthan, P.N. (eds.) SEAL 2012. LNCS, vol. 7673, pp. 391–399. Springer, Heidelberg (2012). doi:10.1007/978-3-642-34859-4_39

    Chapter  Google Scholar 

  12. Uy, N.Q., Hien, N.T., Hoai, N.X., O’Neill, M.: Improving the generalisation ability of genetic programming with semantic similarity based crossover. In: Esparcia-Alcázar, A.I., Ekárt, A., Silva, S., Dignum, S., Uyar, A.Ş. (eds.) EuroGP 2010. LNCS, vol. 6021, pp. 184–195. Springer, Heidelberg (2010). doi:10.1007/978-3-642-12148-7_16

    Chapter  Google Scholar 

  13. Muttil, N., Chau, K.-W.: Neural network and genetic programming for modelling coastal algal blooms. Int. J. Environ. Pollut. 28, 223–238 (2006). Inderscience Publishers

    Article  Google Scholar 

  14. Archetti, F., Lanzeni, S., Messina, E., Vanneschi, L.: Genetic programming for human oral bioavailability of drugs. In: Proceedings of the 8th Annual Conference on Genetic and Evolutionary Computation, pp. 255–262. ACM (2006)

    Google Scholar 

  15. Juang, C.-F.: A hybrid of genetic algorithm and particle swarm optimization for recurrent network design. IEEE Trans. Syst. Man Cybern. Part B Cybern. 34, 997–1006 (2004)

    Article  Google Scholar 

  16. Whigham, P.A., Crapper, P.F.: Time series modelling using genetic programming: an application to rainfall-runoff models. In: Advances in Genetic Programming, vol. 3, pp. 89–104. MIT Press, Cambridge (1999)

    Google Scholar 

  17. Hastie, T., Tibshirani, R., Friedman, J., Franklin, J.: The Elements of Statistical Learning: Data Mining, Inference and Prediction. Springer, New York (2005). The Mathematical Intelligencer, 27, 83–85. Springer

    MATH  Google Scholar 

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Correspondence to Thuong Pham Thi .

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Thi, T.P., Nguyen, X.H., Nguyen, T.T. (2017). A Study on Fitness Representation in Genetic Programming. In: Akagi, M., Nguyen, TT., Vu, DT., Phung, TN., Huynh, VN. (eds) Advances in Information and Communication Technology. ICTA 2016. Advances in Intelligent Systems and Computing, vol 538. Springer, Cham. https://doi.org/10.1007/978-3-319-49073-1_13

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  • DOI: https://doi.org/10.1007/978-3-319-49073-1_13

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  • Print ISBN: 978-3-319-49072-4

  • Online ISBN: 978-3-319-49073-1

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