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The Growing Radial Basis Function (RBF) Neural Network and Its Applications

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Advances in Swarm Intelligence (ICSI 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7928))

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Abstract

This paper proposes a framework based on the cross-validation methods for constructing and training radial basis function (RBF) neural networks. The proposed growing RBF (GRBF) neural network begins with initial number of hidden units. In the process of training, the GRBF network adjusts the hidden neurons by eliminating some “small” hidden units and splitting one “large” hidden unit at the same cycle. If the prediction error in the system is not less than the pre-given threshold, the proposed method increases hidden units to re-estimate the parameters in the next process of training, until the stop criterion is satisfied. In practice, the proposed GRBF network are evaluated and tested on two real 3D seismic data sets with very favorable self-adaptive ability and satisfactory results.

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References

  1. Broomhead, D.S., Lowe, D.: Multivariable Functional Interpolation and Adaptive Networks. Complex System 2, 321–355 (1988)

    MathSciNet  MATH  Google Scholar 

  2. Moody, J., Darken, C.: Fast Learning in Networks of Locally Tuned Processing Units. Neural Computation 1, 281–294 (1989)

    Article  Google Scholar 

  3. Poggio, T., Girosi, F.: Regularization Algorithms for learning that are equivalent to multiplayer networks. Science 247, 978–982 (1990)

    Article  MathSciNet  MATH  Google Scholar 

  4. Davis, J.: Statistics and data analysis in geology, 2nd edn. Wiley (1986)

    Google Scholar 

  5. Bezdek, C.: Pattern Recognition with Fuzzy Objective Function Algorithms. Plenum, New York (1981)

    Book  MATH  Google Scholar 

  6. Russo, M., Patanè, G.: Improving the LBG Algorithm. In: Mira, J. (ed.) IWANN 1999. LNCS, vol. 1606, pp. 621–630. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  7. Runkler, A., Bezdek, C.: Alternating Cluster Estimation: A New Tool for Clustering and Function Approximation. IEEE Transactions on Fuzzy Systems 7(3), 377–393 (1999)

    Article  Google Scholar 

  8. Scheevel, J.R., Payrazyan, K.: Principal Component Analysis Applied to 3D Seismic Data for Reservoir Property Estimation. Paper 56734, SPE Reservoir Evaluation & Engineering, 64–72 (2001)

    Google Scholar 

  9. Schultz, P.S., Ronen, S., Hattori, M., Corbett, C.: Seismic Guided Estimation of Log Properties, Part 1: A Data-driven Interpretation Technology. The Leading Edge 13, 305–315 (1994)

    Article  Google Scholar 

  10. Ronen, S., Schultz, P.S., Hattori, M., Corbett, C.: Seismic Guided Rstimation of Log Properties, Part 2: Using Artificial Neural Networks for Nonlinear Attribute Calibration. The Leading Edge 13, 674–678 (1994)

    Article  Google Scholar 

  11. Russell, B., Hampson, D., Schuelke, J., Quirein, J.: Multiattribute Seismic Analysis. The Leading Edge 16, 1439–1443 (1997)

    Article  Google Scholar 

  12. Schuelke, J.S., Quirein, J.A.: Validation: A Technique for Selecting Seismic Attributes and Verifying Results. In: 68th Ann. Internat. Mtg., Soc. Expl. Geophys., Expanded Abstracts, pp. 936–939. (1998)

    Google Scholar 

  13. Horikawa, S.I., Furuhashi, T., Uchikawa, Y.: On Fuzzy Modeling using Fuzzy Neural Networks with the Back-propagation Algorithm. IEEE Transactions on Neural Networks 3(5), 801–806 (1992)

    Article  Google Scholar 

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Li, Y., Wang, H., Jia, J., Li, L. (2013). The Growing Radial Basis Function (RBF) Neural Network and Its Applications. In: Tan, Y., Shi, Y., Mo, H. (eds) Advances in Swarm Intelligence. ICSI 2013. Lecture Notes in Computer Science, vol 7928. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38703-6_57

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  • DOI: https://doi.org/10.1007/978-3-642-38703-6_57

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-38702-9

  • Online ISBN: 978-3-642-38703-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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