Man-Machine Interactions 3 pp 257-263 | Cite as
An Application of Fuzzy C-Regression Models to Characteristic Point Detection in Biomedical Signals
Conference paper
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 signalsPreview
Unable to display preview. Download preview PDF.
References
- 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.Bezdek, J.C.: Pattern Recognition with Fuzzy Objective Function Algorithms. Plenum Press, New York (1982)Google Scholar
- 3.Davé, R.N.: Characterization and detection of noise in clustering. Pattern Recognition Letters 12(11), 657–664 (1991)CrossRefGoogle Scholar
- 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.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.Girolami, M.: Mercer kernel-based clustering in feature space. IEEE Transactions on Neural Networks 13(3), 780–784 (2002)CrossRefGoogle Scholar
- 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.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.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.Łęski, J.M.: Robust possibilistic clustering. Archives of Control Sciences 10(3-4), 141–155 (2000)MathSciNetGoogle Scholar
- 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.Łęski, J.M.: Computationally effective algorithm to the ε-insensitive fuzzy clustering. System Science 28(3), 31–50 (2002)Google Scholar
- 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.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.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.Pedrycz, W.: Conditional fuzzy c-means. Pattern Recognition Letters 17(6), 625–631 (1996)CrossRefGoogle Scholar
- 17.Pedrycz, W.: Distributed collaborative knowledge elicitation. Computer Assisted Mechanics and Engineering Sciences 9(1), 87–104 (2002)MathSciNetMATHGoogle Scholar
- 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.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.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