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A New Algorithm with a Line Search for Feedforward Neural Networks Training

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Artificial Intelligence and Soft Computing (ICAISC 2020)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 12415))

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Abstract

A new algorithm for feedforward neural networks training is presented. Its core is based on the Givens rotations and QR decomposition (GQR) with an application of a line search method. Similar algorithms based on the QR decomposition utilize a runtime fixed size of the training step. In some situations that might result in inaccurate weight corrections in a given step. The proposed algorithm solves this issue by finding the exact spot of the optimal solution. The performance of the proposed algorithm has been tested on several benchmarks and various networks.

This work has been supported by the Polish National Science Center under Grant 2017/27/B/ST6/02852 and the program of the Polish Minister of Science and Higher Education under the name “Regional Initiative of Excellence” in the years 2019–2022 project number 020/RID/2018/19, the amount of financing PLN 12,000,000.00.

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Author information

Authors and Affiliations

  1. Department of Computational Intelligence, Częstochowa University of Technology, Al. Armii Krajowej 36, 42-200, Częstochowa, Poland

    Jarosław Bilski & Bartosz Kowalczyk

  2. Department Electrical and Computer Engineering, University of Louisville, Louisville, KY, 40292, USA

    Jacek M. Żurada

Authors
  1. Jarosław Bilski
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  2. Bartosz Kowalczyk
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  3. Jacek M. Żurada
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Corresponding author

Correspondence to Jarosław Bilski .

Editor information

Editors and Affiliations

  1. Częstochowa University of Technology, Częstochowa, Poland

    Leszek Rutkowski

  2. Częstochowa University of Technology, Częstochowa, Poland

    Rafał Scherer

  3. Częstochowa University of Technology, Częstochowa, Poland

    Marcin Korytkowski

  4. Electrical and Computer Engineering, University of Alberta, Edmonton, AB, Canada

    Witold Pedrycz

  5. AGH University of Science and Technology, Kraków, Poland

    Ryszard Tadeusiewicz

  6. Electrical and Computer Engineering, University of Louisville, Louisville, KY, USA

    Jacek M. Zurada

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Bilski, J., Kowalczyk, B., Żurada, J.M. (2020). A New Algorithm with a Line Search for Feedforward Neural Networks Training. In: Rutkowski, L., Scherer, R., Korytkowski, M., Pedrycz, W., Tadeusiewicz, R., Zurada, J.M. (eds) Artificial Intelligence and Soft Computing. ICAISC 2020. Lecture Notes in Computer Science(), vol 12415. Springer, Cham. https://doi.org/10.1007/978-3-030-61401-0_2

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  • DOI: https://doi.org/10.1007/978-3-030-61401-0_2

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