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A Study of Boolean Matrix Factorization Under Supervised Settings

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Formal Concept Analysis (ICFCA 2019)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 11511))

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Abstract

Boolean matrix factorization is a generally accepted approach used in data analysis to explain data or for data preprocessing in the supervised settings. In this paper we study factors in the supervised settings. We provide an experimental proof that factors are able to explain not only data as a whole but also classes in the data.

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References

  1. Belohlavek, R., Baets, B.D., Outrata, J., Vychodil, V.: Inducing decision trees via concept lattices. Int. J. Gen. Syst. 38(4), 455–467 (2009)

    Article  MathSciNet  Google Scholar 

  2. Belohlavek, R., Grissa, D., Guillaume, S., Nguifo, E.M., Outrata, J.: Boolean factors as a means of clustering of interestingness measures of association rules. Ann. Math. Artif. Intell. 70(1–2), 151–184 (2014)

    Article  MathSciNet  Google Scholar 

  3. Belohlavek, R., Outrata, J., Trnecka, M.: Impact of Boolean factorization as preprocessing methods for classification of boolean data. Ann. Math. Artif. Intell. 72(1–2), 3–22 (2014)

    Article  MathSciNet  Google Scholar 

  4. Belohlavek, R., Outrata, J., Trnecka, M.: Toward quality assessment of Boolean matrix factorizations. Inf. Sci. 459, 71–85 (2018)

    Article  MathSciNet  Google Scholar 

  5. Belohlavek, R., Trnecka, M.: From-below approximations in Boolean matrix factorization: geometry and new algorithm. J. Comput. Syst. Sci. 81(8), 1678–1697 (2015)

    Article  MathSciNet  Google Scholar 

  6. Belohlavek, R., Vychodil, V.: Discovery of optimal factors in binary data via a novel method of matrix decomposition. J. Comput. Syst. Sci. 76(1), 3–20 (2010)

    Article  MathSciNet  Google Scholar 

  7. Coenen, F.: The LUCS-KDD discretised/normalised ARM and CARM data library (2003). http://www.csc.liv.ac.uk/~frans/KDD/Software/LUCS_KDD_DN

  8. Dheeru, D., Karra Taniskidou, E.: UCI machine learning repository (2017). http://archive.ics.uci.edu/ml

  9. Dixon, W.: BMDP statistical software manual to accompany the 7.0 software release, vols. 1–3 (1992)

    Google Scholar 

  10. Ene, A., Horne, W.G., Milosavljevic, N., Rao, P., Schreiber, R., Tarjan, R.E.: Fast exact and heuristic methods for role minimization problems. In: Ray, I., Li, N. (eds.) 13th ACM Symposium on Access Control Models and Technologies, SACMAT 2008, Estes Park, CO, USA, 11–13 June 2008, Proceedings, pp. 1–10. ACM (2008)

    Google Scholar 

  11. Ganter, B., Wille, R.: Formal Concept Analysis Mathematical Foundations. Springer, Heidelberg (1999). https://doi.org/10.1007/978-3-642-59830-2

    Book  MATH  Google Scholar 

  12. Ganter, B., Kuznetsov, S.O.: Hypotheses and Version Spaces. In: Ganter, B., de Moor, A., Lex, W. (eds.) ICCS-ConceptStruct 2003. LNCS (LNAI), vol. 2746, pp. 83–95. Springer, Heidelberg (2003). https://doi.org/10.1007/978-3-540-45091-7_6

    Chapter  Google Scholar 

  13. Kueti, L.T., Tsopzé, N., Mbiethieu, C., Nguifo, E.M., Fotso, L.P.: Using Boolean factors for the construction of an artificial neural networks. Int. J. Gen. Syst. 47(8), 849–868 (2018)

    Article  MathSciNet  Google Scholar 

  14. Kuznetsov, S.O.: Machine learning and formal concept analysis. In: Eklund, P. (ed.) ICFCA 2004. LNCS (LNAI), vol. 2961, pp. 287–312. Springer, Heidelberg (2004). https://doi.org/10.1007/978-3-540-24651-0_25

    Chapter  MATH  Google Scholar 

  15. Lucchese, C., Orlando, S., Perego, R.: A unifying framework for mining approximate top-k binary patterns. IEEE Trans. Knowl. Data Eng. 26(12), 2900–2913 (2014)

    Article  Google Scholar 

  16. Makhalova, T., Trnecka, M.: From-below boolean matrix factorization algorithm based on MDL. arXiv preprint arXiv:1901.09567 (2019)

  17. Makhalova, T.P., Kuznetsov, S.O., Napoli, A.: A first study on what MDL can do for FCA. In: Ignatov, D.I., Nourine, L. (eds.) Proceedings of the Fourteenth International Conference on Concept Lattices and Their Applications. CEUR Workshop Proceedings, vol. 2123, pp. 25–36 (2018)

    Google Scholar 

  18. Outrata, J.: Preprocessing input data for machine learning by FCA. In: Kryszkiewicz, M., Obiedkov, S.A. (eds.) Proceedings of the 7th International Conference on Concept Lattices and Their Applications, Sevilla, Spain, 19–21 October 2010. CEUR Workshop Proceedings, vol. 672, pp. 187–198. CEUR-WS.org (2010)

    Google Scholar 

  19. Xiang, Y., Jin, R., Fuhry, D., Dragan, F.F.: Summarizing transactional databases with overlapped hyperrectangles. Data Min. Knowl. Discov. 23(2), 215–251 (2011)

    Article  MathSciNet  Google Scholar 

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Acknowledgment

The work of Tatiana Makhalova was supported by the Russian Science Foundation under grant 17- 11-01294 and performed at National Research University Higher School of Economics, Moscow, Russia.

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Correspondence to Tatiana Makhalova .

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Makhalova, T., Trnecka, M. (2019). A Study of Boolean Matrix Factorization Under Supervised Settings. In: Cristea, D., Le Ber, F., Sertkaya, B. (eds) Formal Concept Analysis. ICFCA 2019. Lecture Notes in Computer Science(), vol 11511. Springer, Cham. https://doi.org/10.1007/978-3-030-21462-3_24

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  • DOI: https://doi.org/10.1007/978-3-030-21462-3_24

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-21461-6

  • Online ISBN: 978-3-030-21462-3

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