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WaRS: A Method for Signal Classification

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Book cover Rough-Neural Computing

Part of the book series: Cognitive Technologies ((COGTECH))

Summary

Rough hybrid methods are used worldwide for pattern recognition and classification problems. In this chapter, WaRS, a combination of wavelets with rough set tools is presented, and examples of its application to problems of artificial and real-life (biomedical) origin are supplied.

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Reference

  1. R. Agrawal, H. Manilla, R. Srikant, H. Toivonen, I. Verkamo. Fast discovery of association rules. InProceedings of the Conference on Advances in Knowledge Discovery and Data Mining307–328, AAAI-Press/MIT Press, Cambridge, MA, 1996.

    Google Scholar 

  2. J. Bazan. A comparison of dynamic and non-dynamic rough set methods for extracting laws from decision tables. In L.Polkowski, A. Skowron, editorsRough Sets in Knowledge Discovery 1321–365, Physica, Heidelberg, 1998.

    Google Scholar 

  3. J. Bazan.Approximate Reasoning Methods for Synthesis of Decision Algorithms.Ph. D. dissertation, Institute of Mathematics, Warsaw University, Warsaw 1998.

    Google Scholar 

  4. M. Beale, H.B. Demuth.Neural Network Toolbox.The MathWorks Inc., Natick, MA, 1997.

    Google Scholar 

  5. G. Beylkin, R. Coifman, V. Rokhlin Fast wavelet transforms and numerical algorithms I.Comm. Pure Appl. Math.43: 141–183, 1991.

    Article  MathSciNet  Google Scholar 

  6. L. Breiman, J.H. Friedman, R.A. Olshen, C. J. Stone.Classification and Regression Trees.Wadsworth, Belmont, CA, 1984.

    Google Scholar 

  7. C. K. Chui.Wavelets: A Mathematical Tool for Signal Analysis. SIAMPhiladelhia, 1997.

    Book  Google Scholar 

  8. I. Daubechies. Orthonormal bases of compactly supported wavelets.Comm. Pure Appl. Math.41: 909–996, 1998.

    Article  MathSciNet  Google Scholar 

  9. I. Daubechies.Ten Lectures on Wavelets. SIAMPhiladelphia, 1992.

    Google Scholar 

  10. D.L. Donoho. Unconditional bases are optimal bases for data compression and for statistical estimation.Applied and Computational Harmonic Analysis 1:100–115, 1993.

    Article  MathSciNet  MATH  Google Scholar 

  11. D.L. Donoho, I. Johnstone. Neo-classical minimax problems, thresholding and adaptive function estimation.Bernoulli2(1): 39–62, 1996.

    Article  MathSciNet  MATH  Google Scholar 

  12. D.L. Donoho, I.M. Johnstone, G. Kerkyacharian, D. Picard. Density estimation by wavelet thresholding.Ann. Statist.24(2): 508–539, 1996.

    Article  MathSciNet  MATH  Google Scholar 

  13. D.L. Donoho. De-noising by soft-thresholding.IEEE Transactions on Information Theory41(3): 613–627, 1995.

    Article  MathSciNet  MATH  Google Scholar 

  14. H.G. Feichtinger, T. Strohmer, editors.Gabor Analysis and Algorithms. Theory and Applications.Birkhauser, Boston, 1998.

    MATH  Google Scholar 

  15. M. Garey, D. Johnson.Computers and Intractability: A Guide to the Theory of NP-Completeness(12th ed.). W.H. Freeman, San Francisco, 1998.

    Google Scholar 

  16. K. Gröchenig.Foundations of Time-Frequency Analysis.Birkhäuser, Boston, 2001.

    Google Scholar 

  17. P. Jelen, U. Slawinska, S. Kasicki. Danger and safety signals differentiate hippocampal theta activity in classical conditioning in rats.Acta Neurobiol. Exp.61(3): 232, 2001.

    Google Scholar 

  18. P. Jelen, U. Slawinska, S. Kasicki. Danger and safety signals differentiate hippocampal theta activity in classical conditioning in rats. Preprint, 2001.

    Google Scholar 

  19. J. Komorowski, Z. Pawlak, L. Polkowski, A.Skowron. Rough sets: A tutorial. In S.K. Pal, A. Skowron, editorsRough-Fuzzy Hybridization: A New Trend in Decision Making3–98, Springer, Singapore, 1999.

    Google Scholar 

  20. S. Mallat. A theory for multiresolution signal decomposition: The wavelet representation.IEEE Transactions on Pattern Analysis and Machine Intelligence11: 674–693, 1989.

    Article  MATH  Google Scholar 

  21. Y. Meyer.Wavelets and Operators.Cambridge University Press, Cambridge, 1992.

    MATH  Google Scholar 

  22. Y. Meyer.Wavelets: Applications and Algorithms. SIAMPhiladelphia, 1993.

    MATH  Google Scholar 

  23. H.S. Nguyen. Discretization of real value attributes. Boolean reasoning approach. Ph. D. Dissertation, Faculty of Mathematics, Informatics and Mechanics, Warsaw University, 2002.

    Google Scholar 

  24. S.H. Nguyen, H.S. Nguyen. Discretization methods in data mining. In L. Polkowski, A. Skowron, editorsRough Sets in Knowledge Discovery 1451–482, Physica, Heidelberg, 1998.

    Google Scholar 

  25. Z. Pawlak.Rough Sets: Theoretical Aspects of Reasoning about Data.Kluwer, Dordrecht, 1991.

    MATH  Google Scholar 

  26. A. Petrosian, D. Prokhorov, R. Homan, D. Wunsch. Recurrent neural network based prediction of epileptic seizures in intra-and extracranial EEG.Neurocomputing: An International Journal30: 201–218, 2000.

    Article  Google Scholar 

  27. C. Rauszer, A. Skowron. The discernibility matrices and functions in information systems. In R. Slowiñski, editorIntelligent Decision Support: Handbook of Advances in Rough Sets Theory331–362, Kluwer, Dordrecht, 1992.

    Google Scholar 

  28. E. Rodin, M. Litzinger, J. Thompson. Complexity of focal spikes suggests relative epileptogenicity.Epilepsia36(11): 1078–1083, 1995.

    Article  Google Scholar 

  29. N. Saito.Local Feature Extraction and Its Applications Using a Library of Bases.Ph.D. Dissertation, Department of Mathematics, Yale University, 1994.

    Google Scholar 

  30. L. Senhadji, J. Dillenseger, F. Wendling, C. Rocha, A. Kinie. Wavelet analysis of EEG for three-dimensional mapping of epileptic events.Annals of Biomedical Engineering23(5): 543–552, 1995..

    Article  Google Scholar 

  31. R.W. Winiarski. Rough sets and principal component analysis and their applications in data model building and classification. In S.K. Pal, A. Skowron, editorsRough-Fuzzy Hybridization: A New Trend in Decision Making275–300, Springer, Singapore 1999.

    Google Scholar 

  32. M. Szczuka, P. Wojdyllo. Neuro-wavelet classifiers for EEG signals based on rough set methods.Neurocomputing: An International Journal36: 103–122, 2001.

    Article  Google Scholar 

  33. P. Wojdyllo. Wavelets and Mallat’s multiresolution analysis.Fundamenta Informaticae34: 469–474, 1998.

    MathSciNet  MATH  Google Scholar 

  34. P. Wojdyllo. Wavelets, rough sets and artificial neural networks in EEG analysis. InProceedings of the 1st International Conference on Rough Sets and Current Trends in Computing (RSCTC’98)LNAI 1424, 444–449, Springer, Berlin, 1998.

    Chapter  Google Scholar 

  35. E Wojtaszczyk.A Mathematical Introduction into Wavelets.Cambridge University Press, Cambridge, 1997.

    Book  Google Scholar 

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© 2004 Springer-Verlag Berlin Heidelberg

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Wojdyłło, P. (2004). WaRS: A Method for Signal Classification. In: Pal, S.K., Polkowski, L., Skowron, A. (eds) Rough-Neural Computing. Cognitive Technologies. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18859-6_27

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  • DOI: https://doi.org/10.1007/978-3-642-18859-6_27

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-62328-8

  • Online ISBN: 978-3-642-18859-6

  • eBook Packages: Springer Book Archive

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