A note on the complex and bicomplex valued neural networks

Daniel Alpay, Kamal Diki and Mihaela Vajiac

Applied Mathematics and Computation, 2023, vol. 445, issue C

Abstract: In this paper we first write a proof of the perceptron convergence algorithm for the complex multivalued neural networks (CMVNNs). Our primary goal is to formulate and prove the perceptron convergence algorithm for the bicomplex multivalued neural networks (BMVNNs) and other important results in the theory of neural networks based on a bicomplex algebra.

Keywords: Bicomplex algebra; Bicomplex analysis; Complex-valued neural networks; Bicomplex-valued neural networks; Activation functions; Perceptron algorithms; Algorithm convergence (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:445:y:2023:i:c:s0096300323000334

DOI: 10.1016/j.amc.2023.127864

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