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A Multi-objective Genetic Algorithm for Model Selection for Support Vector Machines

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PRICAI 2014: Trends in Artificial Intelligence (PRICAI 2014)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 8862))

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Abstract

Selecting the proper Kernel function in SVMs and the specific parameters for that kernel is an important step in achieving a high performance learning machine. The objective of this research is to optimize SVMs parameters using different kernel functions. We cast this problem as a multi-objective optimization problem, where the classification accuracy, the number of support vectors and the margin define our objective functions. So, we introduce a method based on multi-objective evolutionary algorithm NSGA-II to solve this problem. We also introduce a multi-criteria selection operator for our NSGA-II. The proposed method is applied on some benchmark datasets. The experimental obtained results show the efficiency of the proposed method.

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References

  1. Vapnik, V.: The nature of statistical learning theory. Springer, New York (1995)

    Book  MATH  Google Scholar 

  2. Kotsia, I., Pitas, I.: Facial expression recognition in image sequences using geometric deformation features and support vector machines. IEEE Transactions on Image Processing 16(1), 172–187 (2007)

    Article  MathSciNet  Google Scholar 

  3. Ma, J., Nguyen, M.N., Rajapakse, J.C.: Gene classification using codon usage and support vector machines. IEEE/ACM Transactions on Computational Biology and Bioinformatics 6(1), 134–143 (2009)

    Article  Google Scholar 

  4. Yu, L., Chen, H., Wang, S., Lai, K.K.: Evolving least squares support vector machines for stock market trend mining. IEEE Transactions on Evolutionary Computation 13(1), 87–102 (2009)

    Article  Google Scholar 

  5. Keerthi, S.S., Lin, C.-J.: Asymptotic behaviors of support vector machines with Gaussian kernel. Neural Computation 15, 1667–1689 (2003)

    Article  MATH  Google Scholar 

  6. Hsu, C.-W., Lin, C.-J.: A comparison of methods for multiclass support vector machines. IEEE Trans. Neural Networks 13(2), 415–425 (2002)

    Article  Google Scholar 

  7. Staelin, C.: Parameter selection for support vector machines. Hewlett-Packard Co. Tech. Rep. Hpl-2002-354r1 (2003)

    Google Scholar 

  8. Chapelle, O., Vapnik, V., Bousquet, O., Mukherjee, S.: Choosing multiple parameters for support vector machines. Machine Learning 46(1), 131–159 (2002)

    Article  MATH  Google Scholar 

  9. Chung, K., Kao, W., Sun, C., Lin, C.: Radius margin bounds for support vector machines with rbf kernel. Neural Comput. 15(11), 2643–2681 (2003)

    Article  MATH  Google Scholar 

  10. Frauke, F., Igel, C.: Evolutionary Tuning of Multiple SVM Parameters. In: Proceedings of the 12th European Symposium on Artificial Neural Networks (ESANN 2004). d-side publications, Evere (2004)

    Google Scholar 

  11. Liang, X., Liu, F.: Choosing multiple parameters for SVM based on genetic algorithm. In: 6th International Conference on Signal Processing, August 26-30, vol. 1, pp. 117–119 (2002)

    Google Scholar 

  12. Liu, H.-J., Wang, Y.-N., Lu, X.-F.: A method to choose kernel function and its parameters for support vector machines. In: Proceedings of 2005 International Conference on Machine Learning and Cybernetics, August 18-21, vol. 7, pp. 4277–4280 (2005)

    Google Scholar 

  13. Liu, S., Jia, C.-Y., Ma, H.: A new weighted support vector machine with GA-based parameter selection. In: Proceedings of 2005 International Conference on Machine Learning and Cybernetics, August 18-21, vol. 7, pp. 4351–4355 (2005)

    Google Scholar 

  14. Zhao, M., Fu, C., Ji, L., Tang, K., Zhou, M.: Feature selection and parameter optimization for support vector machines: A new approach based on genetic algorithm with feature chromosomes. Expert Systems with Applications 38(5), 5197–5204 (2011)

    Article  Google Scholar 

  15. Liu, H.-J., Wang, Y.-N., Lu, X.-F.: A method to choose kernel function and its parameters for support vector machines. In: Proceedings of IEEE International Conference on Machine Learning and Cybernetics, vol. 7, pp. 4277–4280 (2005)

    Google Scholar 

  16. Huang, C.L., Wang, C.J.: A GA-based feature selection and parameters optimization for support vector machine. Expert Systems with Application 31(2), 231–240 (2006)

    Article  Google Scholar 

  17. Lin, S.W., Ying, K.C., Chen, S.C., Lee, Z.J.: Particle swarm optimization for parameter determination and feature selection of support vector machines. Expert Systems with Applications 35(4), 1817–1824 (2008)

    Article  Google Scholar 

  18. Liu, H., Yu, L.: Toward integrating feature selection algorithms for classification and clustering. IEEE Transactions on Knowledge and Data Engineering 17(4), 491–502 (2005)

    Article  Google Scholar 

  19. Deb, K., Pratap, A., Agarwal, S., Meyarivan, T.: A Fast and Elitist Multi-objective Genetic Algorithm: NSGA-II. IEEE Transactions on Evolutionary Computation 6(2), 182–197 (2002)

    Article  Google Scholar 

  20. Deb, K., Beyer, H.: Self-adaptive genetic algorithms with simulated binary crossover. Complex Systems 9, 431–454 (1999)

    Google Scholar 

  21. Deb, K., Tiwari, S.: Omni-optimizer: A generic evolutionary algorithm for single and multiobjective optimization. European Journal of Operational Research 185(3), 1062–1087 (2008)

    Article  MATH  MathSciNet  Google Scholar 

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Bouraoui, A., Ben Ayed, Y., Jamoussi, S. (2014). A Multi-objective Genetic Algorithm for Model Selection for Support Vector Machines. In: Pham, DN., Park, SB. (eds) PRICAI 2014: Trends in Artificial Intelligence. PRICAI 2014. Lecture Notes in Computer Science(), vol 8862. Springer, Cham. https://doi.org/10.1007/978-3-319-13560-1_64

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  • DOI: https://doi.org/10.1007/978-3-319-13560-1_64

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-13559-5

  • Online ISBN: 978-3-319-13560-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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