Bicomplex neural networks with hypergeometric activation functions

DOI10.1007/S00006-023-01268-WOpenAlexW4360980637MaRDI QIDQ2698457

Nelson Vieira

Publication date: 24 April 2023

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-023-01268-w

zbMATH Keywords

hypergeometric functionsBessel functionsactivation functionsartificial neural networks and deep learningbicomplex convolutional neural networks

Mathematics Subject Classification ID

Computational learning theory (68Q32) Artificial neural networks and deep learning (68T07) Functions of hypercomplex variables and generalized variables (30G35) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Applications of hypergeometric functions (33C90)

Related Items (1)

Quaternionic convolutional neural networks with trainable Bessel activation functions

Cites Work

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• Singularities of functions of one and several bicomplex variables
• A note on the complex and bicomplex valued neural networks
• The Cauchy-Kowalewski product for bicomplex holomorphic functions
• Bicomplex Holomorphic Functions
• Bicomplex signals with sparsity constraints
• Commutative Reduced Biquaternions and Their Fourier Transform for Signal and Image Processing Applications

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