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A Gradient-Based ELM Algorithm in Regressing Multi-variable Functions

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Advances in Neural Networks - ISNN 2006 (ISNN 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3971))

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Abstract

A new off-line learning algorithm for single layer feed-forward neural networks (SLFNs) called Extreme Learning Machine (ELM) was introduced by Huang et al. [1, 2, 3, 4]. ELM is not as the same as traditional BP method as it can achieve good generalization performance at an extremely fast learning speed. In ELM, the hidden neuron parameters (the input weights and hidden biases or the RBF centers and impact factors) were pre-determined randomly so a set of non-optimized parameters might avoid ELM to achieve the global minimum in some applications. This paper tries to find a set of optimized value of input weights using gradient-based algorithm in training SLFN where the activation function is differentiable.

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References

  1. Huang, G.B., Zhu, Q.Y., Siew, C.K.: Extreme Learning Machine: A New Learning Scheme of Feedforward Neural Networks. In: Proceedings of International Joint Conference on Neural Networks (IJCNN 2004), Budapest, Hungary, July 25-29 (2004)

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  2. Huang, G.B., Zhu, Q.Y., Siew, C.K.: Extreme Learning Machine: Theory and Applications. Neurocomputing (2006) (in press)

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  3. Huang, G.B., Siew, C.K.: Extreme Learning Machine with Randomly Assigned RBF Kernels. International Journal of Information Technology 11 (2005)

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  4. Huang, G.B., Siew, C.K.: Extreme Learning Machine: RBF Network Case. In: Proceedings of the Eighth International Conference on Control, Automation, Robotics and Vision (ICARCV 2004), Kunming, China, December 6-9 (2004)

    Google Scholar 

  5. Hornik, K., Stinchcombe, M., White, H.: Universal Approximation of an Unknown Mapping and Its Derivatives Using Multilayer Feedforward Networks. Neural Networks 3, 551–560 (1990)

    Article  Google Scholar 

  6. Specht, D.: A General Regression Neural Network. IEEE Transactions on Neural Network 2, 568–576 (1991)

    Article  Google Scholar 

  7. Huang, G.B., Zhu, Q.Y., Mao, K.Z., Siew, C.K., Saratchandran, P., Sundararajan, N.: Can threshold networks be trained directly? IEEE Transactions on Circuits and Systems - II 53 (2006)

    Google Scholar 

  8. Burden, R.L., Faires, J.D.: Numerical Analysis, 3rd edn. Prindle, Weber & Schmidt, Boston (1985)

    Google Scholar 

  9. Zhu, Q.Y., Qin, A., Suganthan, P., Huang, G.B.: Evolutionary Extreme Learning Machine. Pattern Recognition 38, 1739–1763 (2005)

    Article  Google Scholar 

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© 2006 Springer-Verlag Berlin Heidelberg

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Xu, Y. (2006). A Gradient-Based ELM Algorithm in Regressing Multi-variable Functions. In: Wang, J., Yi, Z., Zurada, J.M., Lu, BL., Yin, H. (eds) Advances in Neural Networks - ISNN 2006. ISNN 2006. Lecture Notes in Computer Science, vol 3971. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11759966_96

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  • DOI: https://doi.org/10.1007/11759966_96

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-34439-1

  • Online ISBN: 978-3-540-34440-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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