An Application of Fuzzy C-Regression Models to Characteristic Point Detection in Biomedical Signals

Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 242)

Abstract

This work introduces a new fuzzy c-regression models with various loss functions. The algorithm consists in solving a sequence of weighted quadratic minimization problems where the weights used for the next iteration depend on values of models residuals for the current iteration. Simulations on real-life ECG signals are realized to evaluate the performance of the fuzzy clustering method.

Keywords

fuzzy clustering fuzzy c-regresion models biomedical signals 

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References

  1. 1.
    Abonyi, J., Feil, B., Németh, S.Z., Arva, P.: Fuzzy clustering based segmentation of time-series. In: Berthold, M., Lenz, H.-J., Bradley, E., Kruse, R., Borgelt, C. (eds.) IDA 2003. LNCS, vol. 2810, pp. 275–285. Springer, Heidelberg (2003)CrossRefGoogle Scholar
  2. 2.
    Bezdek, J.C.: Pattern Recognition with Fuzzy Objective Function Algorithms. Plenum Press, New York (1982)Google Scholar
  3. 3.
    Davé, R.N.: Characterization and detection of noise in clustering. Pattern Recognition Letters 12(11), 657–664 (1991)CrossRefGoogle Scholar
  4. 4.
    Davé, R.N., Krishnapuram, R.: Robust clustering methods: A unified view. IEEE Transactions on Fuzzy Systems 5(2), 270–293 (1997)CrossRefGoogle Scholar
  5. 5.
    Dunn, J.C.: A fuzzy relative of the isodata process and its use in detecting compact well-separated cluster. Journal of Cybernetics 3(3), 32–57 (1973)MathSciNetCrossRefMATHGoogle Scholar
  6. 6.
    Girolami, M.: Mercer kernel-based clustering in feature space. IEEE Transactions on Neural Networks 13(3), 780–784 (2002)CrossRefGoogle Scholar
  7. 7.
    Hathaway, R.J., Bezdek, J.C.: Switching regression models and fuzzy clustering. IEEE Transactions on Fuzzy Systems 1(3), 195–204 (1993)CrossRefGoogle Scholar
  8. 8.
    Hathaway, R.J., Bezdek, J.C.: Generalized fuzzy c-means clustering strategies using L p norm distances. IEEE Transactions on Fuzzy Systems 8(5), 576–582 (2000)CrossRefGoogle Scholar
  9. 9.
    Krishnapuram, R., Nasraoui, O., Frigui, H.: The fuzzy c-spherical shells algorithm: A new approach. IEEE Transactions on Neural Networks 3(5), 663–671 (1992)CrossRefGoogle Scholar
  10. 10.
    Łęski, J.M.: Robust possibilistic clustering. Archives of Control Sciences 10(3-4), 141–155 (2000)MathSciNetGoogle Scholar
  11. 11.
    Łęski, J.M.: An ε-insensitive approach to fuzzy clustering. International Journal of Applied Mathematics and Computer Science 11(4), 993–1007 (2001)MathSciNetMATHGoogle Scholar
  12. 12.
    Łęski, J.M.: Computationally effective algorithm to the ε-insensitive fuzzy clustering. System Science 28(3), 31–50 (2002)Google Scholar
  13. 13.
    Łęski, J.M.: ε-insensitive fuzzy c-regression models: Introduction to ε-insensitive fuzzy modeling. IEEE Transactions Systems, Man and Cybernetics - Part B: Cybernetics 34(1), 4–15 (2004)Google Scholar
  14. 14.
    Łęski, J.M., Henzel, N.: Generalized ordered linear regression with regularization. Bulletin of the Polish Academy of Sciences: Technical Sciences 60(3), 481–489 (2012)Google Scholar
  15. 15.
    Łęski, J.M., Owczarek, A.J.: A time-domain-constrained fuzzy clustering method and its application to signal analysis. Fuzzy Sets and Systems 155(2), 165–190 (2005)MathSciNetCrossRefMATHGoogle Scholar
  16. 16.
    Pedrycz, W.: Conditional fuzzy c-means. Pattern Recognition Letters 17(6), 625–631 (1996)CrossRefGoogle Scholar
  17. 17.
    Pedrycz, W.: Distributed collaborative knowledge elicitation. Computer Assisted Mechanics and Engineering Sciences 9(1), 87–104 (2002)MathSciNetMATHGoogle Scholar
  18. 18.
    Pedrycz, W., Waletzky, J.: Fuzzy clustering with partial supervision. IEEE Transactions Systems, Man and Cybernetics - Part B: Cybernetics 27(5), 787–795 (1997)CrossRefGoogle Scholar
  19. 19.
    Policker, S., Geva, A.B.: Nonstationary time series analysis by temporal clustering. IEEE Transactions Systems, Man and Cybernetics - Part B: Cybernetics 30(2), 339–343 (2000)CrossRefGoogle Scholar
  20. 20.
    Ruspini, E.H.: A new approach to clustering. Information and Control 15(1), 22–32 (1969)CrossRefMATHGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Institute of Computer ScienceSilesian University of TechnologyGliwicePoland
  2. 2.Institute of Medical Technology and EquipmentZabrzePoland
  3. 3.Institute of ElectronicsSilesian University of TechnologyGliwicePoland

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