A note on the complex and bicomplex valued neural networks

DOI10.1016/j.amc.2023.127864OpenAlexW4320340644MaRDI QIDQ2698148

Daniel Alpay, Kamal Diki, Mihaela Vajiac

Publication date: 21 April 2023

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.02354

zbMATH Keywords

activation functionscomplex-valued neural networksbicomplex algebraalgorithm convergencebicomplex analysisbicomplex-valued neural networksperceptron algorithms

Mathematics Subject Classification ID

Computational learning theory (68Q32) Artificial neural networks and deep learning (68T07) Functions of hypercomplex variables and generalized variables (30G35) Linear operator methods in interpolation, moment and extension problems (47A57)

Related Items (4)

Quaternionic convolutional neural networks with trainable Bessel activation functions ⋮ An extension of the complex–real (C–R) calculus to the bicomplex setting, with applications ⋮ Interpolation with symmetry and a Herglotz theorem in the bicomplex setting ⋮ Bicomplex neural networks with hypergeometric activation functions

Cites Work

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• The Perceptron: A Model for Brain Functioning. I
• Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis
• The Relaxation Method for Linear Inequalities
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• Complex discriminative learning Bayesian neural equalizer
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