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Meta-feature Extraction for Multi-objective Optimization Problems

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Neural Computing for Advanced Applications (NCAA 2021)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1449))

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Abstract

Selecting the appropriate meta-features to represent the optimization problems was studied previously. However, the research on the extraction of meta-features for multi-objective problems is lacking. In this paper, a set of meta-features including a unique meta-feature based on Pareto front shape and the combination of meta-features are proposed for the multi-objective optimization problems (MOPs). 25 multi-objective benchmark functions and K-NN algorithm are adopted to realize the algorithm recommendation for MOPs. Experimental results show that the meta-features based on Pareto front can properly represent multi-objective problems and obtain better recommendation performance. The algorithm recommendation accuracy is improved once the combination of meta-features is considered.

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References

  1. Li, K., Wang, R., Zhang, T.: Evolutionary many-objective optimization: a comparative study of the state-of-the-art. IEEE Access 6, 26194–26214 (2018)

    Article  Google Scholar 

  2. Ma, X., Yang, J., Wu, N.: A comparative study on decomposition-based multi-objective evolutionary algorithms for many-objective optimization. In: 2016 IEEE Congress on Evolutionary Computation (CEC), pp. 2477–2483 (2016)

    Google Scholar 

  3. Wang, R., Zhou, Z., Ishibuchi, H.: Localized weighted sum method for many-objective optimization. IEEE Trans. Evol. Comput. 22(1), 3–18 (2018)

    Article  Google Scholar 

  4. Tanabe, R., Ishibuchi, H.: A review of evolutionary multimodal multiobjective optimization. IEEE Trans. Evol. Comput. 24(1), 193–200 (2020)

    Article  Google Scholar 

  5. Huband, S., Hingston, P., Barone, L.: A review of multiobjective test problems and a scalable test problem toolkit. IEEE Trans. Evol. Comput. 10(5), 477–506 (2006)

    Article  Google Scholar 

  6. Zitzler, E., Thiele, L.: An evolutionary algorithm for multiobjective optimization: the strength pareto approach. TIK-report, vol. 43 (1998)

    Google Scholar 

  7. Zhang, Q., Li, H.: MOEA/D: a multiobjective evolutionary algorithm based on decomposition. IEEE Trans. Evol. Comput. 11(6), 712–731 (2007)

    Article  Google Scholar 

  8. Deb, K., Jain, H.: An evolutionary many-objective optimization algorithm using reference-point-based nondominated sorting approach, part I: solving problems with box constraints. IEEE Trans. Evol. Comput. 18(4), 577–601 (2013)

    Article  Google Scholar 

  9. Deb, K., Pratap, A., Agarwal, S.: A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans. Evol. Comput. 6(2), 182–197 (2002)

    Article  Google Scholar 

  10. Zitzler, E., Laumanns, M., Thiele, L.: SPEA2: improving the strength Pareto evolutionary algorithm. TIK-report, vol. 103 (2001)

    Google Scholar 

  11. Zitzler, E., Künzli, S.: Indicator-based selection in multiobjective search. In: Yao, X., et al. (eds.) PPSN 2004. LNCS, vol. 3242, pp. 832–842. Springer, Heidelberg (2004). https://doi.org/10.1007/978-3-540-30217-9_84

    Chapter  Google Scholar 

  12. Chu, X., Cai, F., Cui, C.: Adaptive recommendation model using meta-learning for population-based algorithms. Inf. Sci. 476, 192–210 (2019)

    Article  Google Scholar 

  13. Kanda, J., De Carvalho, A., Hruschka, E.: Meta-learning to select the best meta-heuristic for the traveling salesman problem: a comparison of meta-features. Neurocomputing 205, 393–406 (2016)

    Article  Google Scholar 

  14. Brazdil, P., Carrier, C.G., Soares, C.: Metalearning: Applications to Data Mining. Springer, Heidelberg (2008). https://doi.org/10.1007/978-3-540-73263-1

    Book  MATH  Google Scholar 

  15. Peng, Y., Flach, P.A., Soares, C., Brazdil, P.: Improved dataset characterisation for meta-learning. In: Lange, S., Satoh, K., Smith, C.H. (eds.) DS 2002. LNCS, vol. 2534, pp. 141–152. Springer, Heidelberg (2002). https://doi.org/10.1007/3-540-36182-0_14

    Chapter  Google Scholar 

  16. Vilalta, R., Giraud-Carrier, C.G., Brazdil, P.: Using meta-learning to support data mining. Int. J. Comput. Sci. Appl. 1(1), 31–45 (2004)

    Google Scholar 

  17. Alcobaca, E., Siqueira, F., Rivolli, A.: MFE: towards reproducible meta-feature extraction. J. Mach. Learn. Res. 21, 1–5 (2020)

    MATH  Google Scholar 

  18. Rivolli, A., Garcia, L. P., Soares, C.: Towards reproducible empirical research in meta-learning, pp. 32–52 (2018)

    Google Scholar 

  19. Reif, M., Shafait, F., Goldstein, M., Breuel, T., Dengel, A.: Automatic classifier selection for non-experts. Pattern Anal. Appl. 17(1), 83–96 (2012). https://doi.org/10.1007/s10044-012-0280-z

    Article  MathSciNet  Google Scholar 

  20. Balte, A., Pise, N., Kulkarni, P.: Meta-learning with landmarking: a survey. Int. J. Comput. Appl. 105, 8 (2014)

    Google Scholar 

  21. Pinto, F., Soares, C., Mendes-Moreira, J.: Towards automatic generation of metafeatures. In: Bailey, J., Khan, L., Washio, T., Dobbie, G., Huang, J.Z., Wang, R. (eds.) PAKDD 2016. LNCS (LNAI), vol. 9651, pp. 215–226. Springer, Cham (2016). https://doi.org/10.1007/978-3-319-31753-3_18

    Chapter  Google Scholar 

  22. Bossek, J.: smoof: single-and multi-objective optimization test functions. R J. 9(1), 103 (2017)

    Article  Google Scholar 

  23. Ishibuchi, H., Setoguchi, Y., Masuda, H.: Performance of decomposition-based many-objective algorithms strongly depends on pareto front shapes. IEEE Trans. Evol. Comput. 21(2), 169–190 (2017)

    Article  Google Scholar 

  24. Cui, C., Hu, M.Q., Weir, J.D.: A recommendation system for meta-modeling: a meta-learning based approach. Expert Syst. Appl. 46, 33–44 (2016)

    Article  Google Scholar 

  25. Tian, Y., Cheng, R., Zhang, X.: PlatEMO: a MATLAB platform for evolutionary multi-objective optimization [educational forum]. IEEE Comput. Intell. Mag. 12(4), 73–87 (2017)

    Google Scholar 

  26. Neave, H., Worthington, P.: Distribution-free tests. Contemp. Sociol. 19(3), 137–153 (1990)

    Google Scholar 

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Acknowledgements

This work was partially supported by the National Natural Science Foundation of China (Grant No. 71971142 and 71701079).

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Chu, X. et al. (2021). Meta-feature Extraction for Multi-objective Optimization Problems. In: Zhang, H., Yang, Z., Zhang, Z., Wu, Z., Hao, T. (eds) Neural Computing for Advanced Applications. NCAA 2021. Communications in Computer and Information Science, vol 1449. Springer, Singapore. https://doi.org/10.1007/978-981-16-5188-5_31

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  • DOI: https://doi.org/10.1007/978-981-16-5188-5_31

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  • Publisher Name: Springer, Singapore

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  • Online ISBN: 978-981-16-5188-5

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