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Extreme Learning Machines for Multiclass Classification: Refining Predictions with Gaussian Mixture Models

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Advances in Computational Intelligence (IWANN 2015)

Abstract

This paper presents an extension of the well-known Extreme Learning Machines (ELMs). The main goal is to provide probabilities as outputs for Multiclass Classification problems. Such information is more useful in practice than traditional crisp classification outputs. In summary, Gaussian Mixture Models are used as post-processing of ELMs. In that context, the proposed global methodology is keeping the advantages of ELMs (low computational time and state of the art performances) and the ability of Gaussian Mixture Models to deal with probabilities. The methodology is tested on 3 toy examples and 3 real datasets. As a result, the global performances of ELMs are slightly improved and the probability outputs are seen to be accurate and useful in practice.

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References

  1. Qi, X., Davison, B.D.: Web page classification: Features and algorithms. ACM Comput. Surv. 41(2), 12:1–12:31 (2009)

    Article  Google Scholar 

  2. Patil, A.S., Pawar, B.: Automated classification of web sites using naive bayesian algorithm. In: Proceedings of the International MultiConference of Engineers and Computer Scientists. vol. 1 (2012)

    Google Scholar 

  3. Dahl, G., Stokes, J.W., Deng, L., Yu, D.: Large-scale malware classification using random projections and neural networks. In: Proceedings IEEE Conference on Acoustics, Speech, and Signal Processing, IEEE SPS, May 2013

    Google Scholar 

  4. Rieck, K., Trinius, P., Willems, C., Holz, T.: Automatic analysis of malware behavior using machine learning. J. Comput. Secur. 19(4), 639–668 (2011)

    Google Scholar 

  5. Miche, Y., Akusok, A., Hegedus, J., Nian, R.: A Two-Stage Methodology using K-NN and False Positive Minimizing ELM for Nominal Data Classification. Cognitive Computation, pp. 1–26 (2014)

    Google Scholar 

  6. Akusok, A., Veganzones, D., Björk, K.M., Séverin, E., du Jardin, P., Lendasse, A., Miche, Y.: ELM clustering-application to bankruptcy prediction-. In: International Work Conference on TIme SEries, pp. 711–723 (2014)

    Google Scholar 

  7. Sirola, M., Talonen, J., Lampi, G.: SOM based methods in early fault detection of nuclear industry. In: ESANN (2009)

    Google Scholar 

  8. Luo, J., Vong, C.M., Wong, P.K.: Sparse bayesian extreme learning machine for multi-classification. IEEE Transactions on Neural Networks and Learning Systems 25(4), 836–843 (2014)

    Article  Google Scholar 

  9. Huang, G.B., Zhu, Q.Y., Siew, C.K.: Extreme learning machine: Theory and applications. Neurocomputing 70(1–3), 489–501 (2006)

    Article  Google Scholar 

  10. Huang, G.B., Chen, L., Siew, C.K.: Universal approximation using incremental constructive feedforward networks with random hidden nodes. IEEE Transactions on Neural Networks 17(4), 879–892 (2006)

    Article  Google Scholar 

  11. Miche, Y., van Heeswijk, M., Bas, P., Simula, O., Lendasse, A.: TROP-ELM: A double-regularized ELM using LARS and Tikhonov regularization. Neurocomputing 74(16), 2413–2421 (2011)

    Article  Google Scholar 

  12. Lendasse, A., Akusok, A., Simula, O., Corona, F., van Heeswijk, M., Eirola, E., Miche, Y.: Extreme learning machine: a robust modeling technique? yes!. In: Rojas, I., Joya, G., Gabestany, J. (eds.) IWANN 2013, Part I. LNCS, vol. 7902, pp. 17–35. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  13. Yu, Q., van Heeswijk, M., Miche, Y., Nian, R., He, B., Séverin, E., Lendasse, A.: Ensemble delta test-extreme learning machine (dt-elm) for regression. Neurocomputing 129, 153–158 (2014). cited By 2

    Article  Google Scholar 

  14. Miche, Y., Sorjamaa, A., Bas, P., Simula, O., Jutten, C., Lendasse, A.: Op-elm: Optimally pruned extreme learning machine. IEEE Transactions on Neural Networks 21(1), 158–162 (2010)

    Article  Google Scholar 

  15. Miche, Y., Sorjamaa, A., Lendasse, A.: OP-ELM: theory, experiments and a toolbox. In: Kůrková, V., Neruda, R., Koutník, J. (eds.) ICANN 2008, Part I. LNCS, vol. 5163, pp. 145–154. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  16. Cambria, E., Huang, G.B., Kasun, L.L.C., Zhou, H., Vong, C.M., Lin, J., Yin, J., Cai, Z., Liu, Q., Li, K., Leung, V.C., Feng, L., Ong, Y.S., Lim, M.H., Akusok, A., Lendasse, A., Corona, F., Nian, R., Miche, Y., Gastaldo, P., Zunino, R., Decherchi, S., Yang, X., Mao, K., Oh, B.S., Jeon, J., Toh, K.A., Teoh, A.B.J., Kim, J., Yu, H., Chen, Y., Liu, J.: Extreme Learning Machines. IEEE Intelligent Systems 28(6), 30–59 (2013)

    Article  Google Scholar 

  17. Akusok, A., Veganzones, D., Miche, Y., Severin, E., Lendasse, A.: Finding originally mislabels with MD-ELM. In: Proc. of the 22th European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning (ESANN 2014), pp. 689–694 (2014)

    Google Scholar 

  18. van Heeswijk, M., Miche, Y., Lindh-Knuutila, T., Hilbers, P.A.J., Honkela, T., Oja, E., Lendasse, A.: Adaptive ensemble models of extreme learning machines for time series prediction. In: Alippi, C., Polycarpou, M., Panayiotou, C., Ellinas, G. (eds.) ICANN 2009, Part II. LNCS, vol. 5769, pp. 305–314. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  19. Grigorievskiy, A., Miche, Y., Ventelä, A.M., Séverin, E., Lendasse, A.: Long-term time series prediction using op-elm. Neural Networks 51, 50–56 (2014). cited By 4

    Article  MATH  Google Scholar 

  20. Pouzols, F., Lendasse, A.: Evolving fuzzy optimally pruned extreme learning machine for regression problems. Evolving Systems 1(1), 43–58 (2010)

    Article  Google Scholar 

  21. van Heeswijk, M., Miche, Y., Oja, E., Lendasse, A.: Gpu-accelerated and parallelized ELM ensembles for large-scale regression. Neurocomputing 74(16), 2430–2437 (2011). Advances in Extreme Learning Machine: Theory and Applications Biological Inspired Systems. Computational and Ambient Intelligence Selected papers of the 10th International Work-Conference on Artificial Neural Networks (IWANN2009)

    Article  Google Scholar 

  22. Yu, Q., Miche, Y., Eirola, E., van Heeswijk, M., Séverin, E., Lendasse, A.: Regularized extreme learning machine for regression with missing data. Neurocomputing 102, 45–51 (2013). cited By 9

    Article  Google Scholar 

  23. Benoît, F., van Heeswijk, M., Miche, Y., Verleysen, M., Lendasse, A.: Feature selection for nonlinear models with extreme learning machines. Neurocomputing 102, 111–124 (2013). cited By 8

    Article  Google Scholar 

  24. Akusok, A., Miche, Y., Hegedus, J., Nian, R., Lendasse, A.: A two-stage methodology using k-nn and false-positive minimizing elm for nominal data classification. Cognitive Computation 6(3), 432–445 (2014). cited By 0

    Article  Google Scholar 

  25. Allen, D.M.: The relationship between variable selection and data agumentation and a method for prediction. Technometrics 16(1), 125–127 (1974)

    Article  MATH  MathSciNet  Google Scholar 

  26. Rao, C.R., Mitra, S.K.: Generalized Inverse of Matrices and Its Applications. John Wiley & Sons Inc (1971)

    Google Scholar 

  27. Bishop, C.M.: Pattern Recognition and Machine Learning. Springer (2006)

    Google Scholar 

  28. Eirola, E., Lendasse, A., Vandewalle, V., Biernacki, C.: Mixture of gaussians for distance estimation with missing data. Neurocomputing 131, 32–42 (2014)

    Article  Google Scholar 

  29. Dempster, A.P., Laird, N.M., Rubin, D.B.: Maximum likelihood from incomplete data via the EM algorithm. Journal of the Royal Statistical Society 39(1), 1–38 (1977). Series B (Methodological)

    MATH  MathSciNet  Google Scholar 

  30. McLachlan, G., Krishnan, T.: The EM Algorithm and Extensions. Wiley Series in Probability and Statistics. John Wiley & Sons, New York (1997)

    Google Scholar 

  31. Schwarz, G.: Estimating the dimension of a model. The annals of statistics 6(2), 461–464 (1978)

    Article  MATH  MathSciNet  Google Scholar 

  32. McLachlan, G.J., Peel, D.: Finite Mixture Models. Wiley Series in Probability and Statistics. John Wiley & Sons, New York (2000)

    Google Scholar 

  33. Lichman, M.: UCI Machine Learning Repository (2013). http://archive.ics.uci.edu/ml

  34. Myers, R.: Classical and Modern Regression with Applications. Bookware Companion Series, PWS-KENT (1990)

    Google Scholar 

  35. Akusok, A., Grigorievskiy, A., Lendasse, A., Miche, Y.: Image-based classification of websites. In: Villmann, T., Schleif, F.M. (eds.) Machine Learning Reports 02/2013. Volume ISSN: 1865–3960 of Machine Learning Reports., Saarbrücken, Germany, Workshop of the GI-Fachgruppe Neuronale Netze and the German Neural Networks Society in connection to GCPR 2013, Proceedings of the Workshop - New Challenges in Neural Computation 2013, pp. 25–34 September 2013

    Google Scholar 

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Correspondence to Amaury Lendasse .

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Eirola, E. et al. (2015). Extreme Learning Machines for Multiclass Classification: Refining Predictions with Gaussian Mixture Models. In: Rojas, I., Joya, G., Catala, A. (eds) Advances in Computational Intelligence. IWANN 2015. Lecture Notes in Computer Science(), vol 9095. Springer, Cham. https://doi.org/10.1007/978-3-319-19222-2_13

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  • DOI: https://doi.org/10.1007/978-3-319-19222-2_13

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