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Analysis of G -Transformation Modes for Building Neuro-like Parallel–Hierarchical Network Identification of Rail Surface Defects

Author

Listed:
  • Vaidas Lukoševičius

    (Department of Transport Engineering, Faculty of Mechanical Engineering and Design, Kaunas University of Technology, Studentų Str. 56, 44249 Kaunas, Lithuania)

  • Volodymyr Tverdomed

    (Kyiv Institute of Railway Transport, State University of Infrastructure and Technology, Kyrylivska Str. 9, 04071 Kyiv, Ukraine)

  • Leonid Tymchenko

    (Kyiv Institute of Railway Transport, State University of Infrastructure and Technology, Kyrylivska Str. 9, 04071 Kyiv, Ukraine)

  • Natalia Kokriatska

    (Kyiv Institute of Railway Transport, State University of Infrastructure and Technology, Kyrylivska Str. 9, 04071 Kyiv, Ukraine)

  • Yurii Didenko

    (Kyiv Institute of Railway Transport, State University of Infrastructure and Technology, Kyrylivska Str. 9, 04071 Kyiv, Ukraine)

  • Mariia Demchenko

    (Kyiv Institute of Railway Transport, State University of Infrastructure and Technology, Kyrylivska Str. 9, 04071 Kyiv, Ukraine)

  • Olena Oliynyk

    (Kyiv Institute of Railway Transport, State University of Infrastructure and Technology, Kyrylivska Str. 9, 04071 Kyiv, Ukraine)

Abstract

This work presents the construction of a transformation for the identification of surface defects on rails, starting with the selection of elements from the matrix and the creation of different matrices. It further elaborates on the recursive formulation of the transformation and demonstrates that, regardless of the elements’ uniqueness, the sum of the transformed matrix remains equal to the sum of the original matrix. This study also addresses the handling of matrices with repeated elements and proves that the G -transformation preserves information, ensuring the integrity of data without any loss or redundancy.

Suggested Citation

  • Vaidas Lukoševičius & Volodymyr Tverdomed & Leonid Tymchenko & Natalia Kokriatska & Yurii Didenko & Mariia Demchenko & Olena Oliynyk, 2025. "Analysis of G -Transformation Modes for Building Neuro-like Parallel–Hierarchical Network Identification of Rail Surface Defects," Mathematics, MDPI, vol. 13(6), pages 1-14, March.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:6:p:966-:d:1612589
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