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Rough-set Based Genetic Algorithms for Weakly Supervised Feature Selection

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Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2022)

Abstract

In this article, we study the problem of feature selection under weak supervision, focusing in particular on the fuzzy labels setting, where the weak supervision is provided in terms of possibility distributions over candidate labels. While traditional Rough Set-based approaches have been applied for tackling this problem, they have high computational complexity and only provide local search heuristic methods. In order to address these issues, we propose a global optimization algorithm, based on genetic algorithms and Rough Set theory, for feature selection under fuzzy labels. Based on a set of experiments, we illustrate the effectiveness of the proposed approach in comparison to state-of-the-art methods.

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Notes

  1. 1.

    Here \(sup_{\le _{C}}\mathcal {I}(R) = \{ I \in \mathcal {I}(R) : \not \exists I' \in \mathcal {I}(R) \text { s.t. } I <_C I' \}\).

References

  1. Bello, R., Falcon, R.: Rough sets in machine learning: a review. In: Wang, G., Skowron, A., Yao, Y., Ślęzak, D., Polkowski, L. (eds.) Thriving Rough Sets. SCI, vol. 708, pp. 87–118. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-54966-8_5

    Chapter  Google Scholar 

  2. Campagner, A., Cabitza, F., Berjano, P., Ciucci, D.: Three-way decision and conformal prediction: isomorphisms, differences and theoretical properties of cautious learning approaches. Inf. Sci. 579, 347–367 (2021)

    Article  MathSciNet  Google Scholar 

  3. Campagner, A., Ciucci, D.: Feature selection and disambiguation in learning from fuzzy labels using rough sets. In: Ramanna, S., Cornelis, C., Ciucci, D. (eds.) IJCRS 2021. LNCS (LNAI), vol. 12872, pp. 164–179. Springer, Cham (2021). https://doi.org/10.1007/978-3-030-87334-9_14

    Chapter  MATH  Google Scholar 

  4. Campagner, A., Ciucci, D., Hüllermeier, E.: Rough set-based feature selection for weakly labeled data. Int. J. Approx. Reasoning 136, 150–167 (2021)

    Article  MathSciNet  Google Scholar 

  5. Campagner, A., Ciucci, D., Svensson, C.M., Figge, M.T., Cabitza, F.: Ground truthing from multi-rater labeling with three-way decision and possibility theory. Inf. Sci. 545, 771–790 (2020)

    Article  Google Scholar 

  6. Ciucci, D., Forcati, I.: Certainty-based rough sets. In: Polkowski, L., Yao, Y., Artiemjew, P., Ciucci, D., Liu, D., Ślęzak, D., Zielosko, B. (eds.) IJCRS 2017. LNCS (LNAI), vol. 10314, pp. 43–55. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-60840-2_3

    Chapter  Google Scholar 

  7. Côme, E., Oukhellou, L., Denoeux, T., Aknin, P.: Learning from partially supervised data using mixture models and belief functions. Pattern Recogn. 42(3), 334–348 (2009)

    Article  Google Scholar 

  8. Couso, I., Dubois, D., Sánchez, L.: Random Sets and Random Fuzzy Sets as ill-perceived Random Variables. SpringerBriefs in Computational Intelligence (2014)

    Google Scholar 

  9. Denœux, T., Zouhal, L.M.: Handling possibilistic labels in pattern classification using evidential reasoning. Fuzzy Sets Syst. 122(3), 409–424 (2001)

    Article  MathSciNet  Google Scholar 

  10. Dubois, D., Prade, H., Sandri, S.: On possibility/probability transformations. In: Fuzzy Logic, pp.103–112. Springer (1993)

    Google Scholar 

  11. Hernández-Aguirre, A., Buckles, B.P., Martínez-Alcántara, A.: The probably approximately correct (PAC) population size of a genetic algorithm. In: Proceedings of ICTAI 2000, pp. 199–202. IEEE (2000)

    Google Scholar 

  12. Hüllermeier, E.: Learning from imprecise and fuzzy observations: data disambiguation through generalized loss minimization. Int. J. Approx. Reasoning 55(7), 1519–1534 (2014)

    Article  MathSciNet  Google Scholar 

  13. Lukasik, M., Bhojanapalli, S., Menon, A., Kumar, S.: Does label smoothing mitigate label noise? In: ICML, pp. 6448–6458. PMLR (2020)

    Google Scholar 

  14. Luke, S.: Essentials of Metaheuristics. Lulu, 2nd (edn.) (2013)

    Google Scholar 

  15. Nakata, M., Sakai, H.: Rule induction based on rough sets from possibilistic data tables. In: Seki, H., Nguyen, C.H., Huynh, V.-N., Inuiguchi, M. (eds.) IUKM 2019. LNCS (LNAI), vol. 11471, pp. 86–97. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-14815-7_8

    Chapter  Google Scholar 

  16. Pawlak, Z.: Rough sets. Int. J. Comput. Inf. Sci. 11(5), 341–356 (1982)

    Article  Google Scholar 

  17. Quost, B., Denoeux, T.: Clustering and classification of fuzzy data using the fuzzy em algorithm. Fuzzy Sets Syst. 286, 134–156 (2016)

    Article  MathSciNet  Google Scholar 

  18. Sakai, H., Wu, M., Nakata, M.: Apriori-based rule generation in incomplete information databases and non-deterministic information systems. Fundamenta Informaticae 130(3), 343–376 (2014)

    Article  MathSciNet  Google Scholar 

  19. Wu, J.-H., Zhang, M.-L.: Disambiguation enabled linear discriminant analysis for partial label dimensionality reduction. In: Proceedings of the 25th ACM SIGKDD, pp. 416–424 (2019)

    Google Scholar 

  20. Zadeh, L.A.: Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets Syst. 1(1), 3–28 (1978)

    Article  MathSciNet  Google Scholar 

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Campagner, A., Ciucci, D. (2022). Rough-set Based Genetic Algorithms for Weakly Supervised Feature Selection. In: Ciucci, D., et al. Information Processing and Management of Uncertainty in Knowledge-Based Systems. IPMU 2022. Communications in Computer and Information Science, vol 1602. Springer, Cham. https://doi.org/10.1007/978-3-031-08974-9_60

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  • DOI: https://doi.org/10.1007/978-3-031-08974-9_60

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