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Multiple Hidden Layered CEFYDRA: Cluster-First Explainable Fuzzy-Based Deep Self-reorganizing Algorithm

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Applications of Fuzzy Techniques (NAFIPS 2022)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 500))

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Abstract

We propose a deep learning algorithm that breaks with the paradigm of weights and activation functions, CEFYDRA, a network of cluster-first fuzzy-based regression algorithms. In this paper, we cover the generalization of CEFYDRA to multilayered deep architectures. First, we provide the three laws that make this generalization possible: Displacement, Substitution and Composition. Then, we obtain the update formulas for the parameters of deep hidden layers. Finally, we show the pseudocode for prediction and update. We also briefly mention the reasons to believe that this algorithm, named CEFYDRA, is explainable and has the ability for plastic reorganization.

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Acknowledgements

The project that generated these results was supported by a grant from the “la Caixa” Banking Foundation (ID 100010434), whose code is LCF/BQ/AA19/11720045.

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Authors and Affiliations

  1. University of Cincinnati, Cincinnati, OH, 45219, USA

    Javier Viaña, Stephan Ralescu, Vladik Kreinovich, Anca Ralescu & Kelly Cohen

  2. Massachusetts Institute of Technology, Cambridge, MA, 02139, USA

    Javier Viaña

Authors
  1. Javier Viaña
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  2. Stephan Ralescu
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  3. Vladik Kreinovich
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  4. Anca Ralescu
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  5. Kelly Cohen
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Corresponding author

Correspondence to Javier Viaña .

Editor information

Editors and Affiliations

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

    Scott Dick

  2. Department of Computer Science, University of Texas at El Paso, El Paso, TX, USA

    Vladik Kreinovich

  3. Department of Mathematics and Computer Science, Saint Mary’s University, Halifax, NS, Canada

    Pawan Lingras

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Viaña, J., Ralescu, S., Kreinovich, V., Ralescu, A., Cohen, K. (2023). Multiple Hidden Layered CEFYDRA: Cluster-First Explainable Fuzzy-Based Deep Self-reorganizing Algorithm. In: Dick, S., Kreinovich, V., Lingras, P. (eds) Applications of Fuzzy Techniques. NAFIPS 2022. Lecture Notes in Networks and Systems, vol 500. Springer, Cham. https://doi.org/10.1007/978-3-031-16038-7_30

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