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Rank Aggregation Algorithm Selection Meets Feature Selection

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Machine Learning and Data Mining in Pattern Recognition (MLDM 2016)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9729))

Abstract

Rank aggregation is the important task in many areas, and different rank aggregation algorithms are created to find optimal rank. Nevertheless, none of these algorithms is the best for all cases. The main goal of this work is to develop a method, which for each rank list defines, which rank aggregation algorithm is the best for this rank list. Canberra distance is used as a metric for determining the optimal ranking. Three approaches are proposed in this paper and one of them has shown promising result. Also we discuss, how this approach can be applied to learn filtering feature selection algorithm ensemble.

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References

  1. Albert, M.H., Aldred, R.E., Atkinson, M.D., van Ditmarsch, H.P., Handley, B., Handley, C.C., Opatrny, J.: Longest subsequences in permutations. Australasian Journal of Combinatorics 28, 225–238 (2003)

    MathSciNet  MATH  Google Scholar 

  2. Bachmaier, C., Brandenburg, F.J., Gleißner, A., Hofmeier, A.: On maximum rank aggregation problems. In: Lecroq, T., Mouchard, L. (eds.) IWOCA 2013. LNCS, vol. 8288, pp. 14–27. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  3. Benner, P., Mehrmann, V., Sorensen, D.C.: Dimension Reduction of Large-Scale Systems, vol. 45. Springer, Heidelberg (2005)

    MATH  Google Scholar 

  4. Bolón-Canedo, V., Sánchez-Maroño, N., Alonso-Betanzos, A., Benítez, J., Herrera, F.: A review of microarray datasets and applied feature selection methods. Information Sciences 282, 111–135 (2014)

    Article  Google Scholar 

  5. de Borda, J.C.: Mémoire sur les élections au scrutin (1781)

    Google Scholar 

  6. Brazdil, P., Carrier, C.G., Soares, C., Vilalta, R.: Metalearning: Applications to Data Mining. Springer Science & Business Media (2008)

    Google Scholar 

  7. Burkovski, A., Lausser, L., Kraus, J.M., Kestler, H.A.: Rank aggregation for candidate gene identification. In: Data Analysis, Machine Learning and Knowledge Discovery, pp. 285–293. Springer (2014)

    Google Scholar 

  8. Copeland, A.H.: A reasonable social welfare function. In: Seminar on Applications of Mathematics to Social Sciences. University of Michigan (1951)

    Google Scholar 

  9. Das, S., Das, A.K.: Sample classification based on gene subset selection. In: Behera, H.S., Mohapatra, D.P. (eds.) Computational Intelligence in Data Mining. AISC, vol. 410, pp. 227–236. Springer, India (2015)

    Chapter  Google Scholar 

  10. DeConde, R.P., Hawley, S., Falcon, S., Clegg, N., Knudsen, B., Etzioni, R.: Combining results of microarray experiments: a rank aggregation approach. Statistical Applications in Genetics and Molecular Biology 5(1) (2006)

    Google Scholar 

  11. Deza, M., Huang, T.: Metrics on permutations, a survey. Journal of Combinatorics, Information and System Sciences. Citeseer (1998)

    Google Scholar 

  12. Dietterich, T.G.: Ensemble methods in machine learning. In: Kittler, J., Roli, F. (eds.) MCS 2000. LNCS, vol. 1857, pp. 1–15. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  13. Dwork, C., Kumar, R., Naor, M., Sivakumar, D.: Rank aggregation methods for the web. In: Proceedings of the 10th International Conference on World Wide Web, pp. 613–622. ACM (2001)

    Google Scholar 

  14. Filchenkov, A., Pendryak, A.: Datasets meta-feature description for recommending feature selection algorithm. In: AINL-ISMW FRUCT, pp. 11–18 (2015)

    Google Scholar 

  15. Fisher, R.A., Yates, F., et al.: Statistical tables for biological, agricultural and medical research. Statistical Tables for Biological, Agricultural and Medical Research 13(Ed. 6.) (1963)

    Google Scholar 

  16. Garner, S.R., et al.: Weka: the waikato environment for knowledge analysis. In: Proceedings of the New Zealand Computer Science Research Students Conference, pp. 57–64. Citeseer (1995)

    Google Scholar 

  17. Giraud-Carrier, C.: Metalearning-a tutorial. In: Proceedings of the 7th International Conference on Machine Learning and Applications, pp. 1–45 (2008)

    Google Scholar 

  18. Guyon, I., Gunn, S., Nikravesh, M., Zadeh, L.A.: Feature Extraction: Foundations and Applications, vol. 207. Springer (2008)

    Google Scholar 

  19. Jones, N.C., Pevzner, P.: An Introduction to Bioinformatics Algorithms. MIT press (2004)

    Google Scholar 

  20. Kekre, H.B., Shah, K.: Performance Comparison of Kekre’s Transform with PCA and Other Conventional Orthogonal Transforms for Face Recognition, pp. 873–879. ICETET (2009)

    Google Scholar 

  21. Kent, J.T.: Information gain and a general measure of correlation. Biometrika 70(1), 163–173 (1983)

    Article  MathSciNet  MATH  Google Scholar 

  22. Rice, J.R.: The Algorithm Selection Problem (1975)

    Google Scholar 

  23. Saeys, Y., Inza, I., Larranaga, P.: A review of feature selection techniques in bioinformatics. Bioinformatics 23(19), 2507–2517 (2007)

    Article  Google Scholar 

  24. Schalekamp, F., van Zuylen, A.: Rank aggregation: together we’re strong. In: Proceedings of the Meeting on Algorithm Engineering & Expermiments, pp. 38–51. Society for Industrial and Applied Mathematics (2009)

    Google Scholar 

  25. Smetannikov, I., Filchenkov, A.: Melif: filter ensemble learning algorithm forgene selection. In: Advanced Science Letters (2016, to appear)

    Google Scholar 

  26. Wang, G., Song, Q., Sun, H., Zhang, X., Xu, B., Zhou, Y.: A feature subset selection algorithm automatic recommendation method. Journal of Artificial Intelligence Research 47(1), 1–34 (2013)

    MATH  Google Scholar 

  27. Wang, R., Utiyama, M., Goto, I., Sumita, E., Zhao, H., Lu, B.L.: Converting continuous-space language models into n-gram language models with efficient bilingual pruning for statistical machine translation. ACM Transactions on Asian and Low-Resource Language Information Processing 15(3), 11 (2016)

    Article  Google Scholar 

  28. Wolpert, D.H., Macready, W.G.: No free lunch theorems for optimization. IEEE Transactions on Evolutionary Computation 1(1), 67–82 (1997)

    Article  Google Scholar 

  29. Zabashta, A., Smetannikov, I., Filchenkov, A.: Study on meta-learning approach application in rank aggregation algorithm selection. In: MetaSel Workshop at ECML PKDD 2015, pp. 115–117 (2015)

    Google Scholar 

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Correspondence to Ivan Smetannikov .

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Zabashta, A., Smetannikov, I., Filchenkov, A. (2016). Rank Aggregation Algorithm Selection Meets Feature Selection. In: Perner, P. (eds) Machine Learning and Data Mining in Pattern Recognition. MLDM 2016. Lecture Notes in Computer Science(), vol 9729. Springer, Cham. https://doi.org/10.1007/978-3-319-41920-6_56

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  • DOI: https://doi.org/10.1007/978-3-319-41920-6_56

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  • Publisher Name: Springer, Cham

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  • Online ISBN: 978-3-319-41920-6

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