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Solving Hard Local Minima Problems Using Basin Cells for Multilayer Perceptron Training

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Advances in Neural Networks – ISNN 2005 (ISNN 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3496))

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Abstract

An analysis of basin cells for an error surface of an multilayer perceptron is presented. Utilizing the topological structure of the basin cells, an escaping strategy is proposed to solve difficult local minima problems. A numerical example is given to illustrate the proposed method and is shown to have a potential to locate better local minima efficiently.

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References

  1. Barhen, J., Protopopescu, V., Reister, D.: TRUST: A Deterministic Algorithm for Global Optimization. Science 276, 1094–1097 (1997)

    Article  MathSciNet  Google Scholar 

  2. Battiti, R.: First-and Second-Order Methods for Learning: Between Steepest Descent and Newton’s Methods. Neural Computation 4, 141–166 (1992)

    Article  Google Scholar 

  3. Chiang, H.-D., Fekih-Ahmed, L.: Quasi-stability Regions of Nonlinear Dynamical Systems: Theory. IEEE Trans. Circuits and Systems 41, 627–635 (1996)

    MathSciNet  Google Scholar 

  4. Haykin, S.: Neural Networks: A Comprehensive Foundation. Prentice Hall, New York (1999)

    MATH  Google Scholar 

  5. Jongen, H.T., Jonker, P., Twilt, F.: Nonlinear Optimization in \(\Re^{\rm n}\). Peter Lang Verlag, Frankfurt (1995)

    Google Scholar 

  6. Lee, J.: Dynamic Gradient Approaches to Compute the Closest Unstable Equilibrium Point for Stability Region Estimate and Their Computational Limitations. IEEE Trans. on Automatic Control 48, 321–324 (2003)

    Article  Google Scholar 

  7. Lee, J., Chiang, H.-D.: A Singular Fixed-point Homotopy Method to Locate the Closest Unstable Equilibrium Point for Transient Stability Region Estimate. IEEE Trans. on Circuits and Systems- Part II 51, 185–189 (2004)

    Article  Google Scholar 

  8. Lee, J., Chiang, H.-D.: A Dynamical Trajectory-Based Methodology for Systematically Computing Multiple Optimal Solutions of General Nonlinear Programming Problems. IEEE Trans. on Automatic Control 49, 888–899 (2004)

    Article  MathSciNet  Google Scholar 

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© 2005 Springer-Verlag Berlin Heidelberg

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Yoon, Y., Lee, J. (2005). Solving Hard Local Minima Problems Using Basin Cells for Multilayer Perceptron Training. In: Wang, J., Liao, X., Yi, Z. (eds) Advances in Neural Networks – ISNN 2005. ISNN 2005. Lecture Notes in Computer Science, vol 3496. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11427391_95

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  • DOI: https://doi.org/10.1007/11427391_95

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25912-1

  • Online ISBN: 978-3-540-32065-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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