A comprehensive review on the advancement of high-dimensional neural networks in quaternionic domain with relevant applications

S Kumar, U Rastogi - Archives of Computational Methods in Engineering, 2023 - Springer
The neurocomputing communities have focused much interest on quaternionic-valued
neural networks (QVNNs) due to the natural extension in quaternionic signals, learning of …

Quaternion Neural Network Architectures in Various Application Domains

B Tripathi, N Srivastava, AK Tiwar… - … Conference on IoT …, 2023 - ieeexplore.ieee.org
On real-world applications like image processing, speech reorganization, and signal
processing, QNN have significantly outperformed real-valued neural networks. This survey …

A survey of quaternion neural networks

T Parcollet, M Morchid, G Linarès - Artificial Intelligence Review, 2020 - Springer
Quaternion neural networks have recently received an increasing interest due to noticeable
improvements over real-valued neural networks on real world tasks such as image, speech …

Quaternion neural networks: state-of-the-art and research challenges

D García-Retuerta, R Casado-Vara… - … on Intelligent Data …, 2020 - Springer
Abstract Machine Learning has recently emerged as a new paradigm for processing all
types of information. In particular, Artificial Intelligence is attractive to corporations & …

[HTML][HTML] Quaternionic Convolutional Neural Networks with Trainable Bessel Activation Functions

N Vieira - Complex Analysis and Operator Theory, 2023 - Springer
Quaternionic convolutional neural networks (QCNN) possess the ability to capture both
external dependencies between neighboring features and internal latent dependencies …

On the learning machine with compensatory aggregation based neurons in quaternionic domain

S Kumar, BK Tripathi - Journal of Computational Design and …, 2019 - academic.oup.com
The nonlinear spatial grouping process of synapses is one of the fascinating methodologies
for neuro-computing researchers to achieve the computational power of a neuron …

[HTML][HTML] Meta-heuristic optimization methods for quaternion-valued neural networks

J Bill, L Champagne, B Cox, T Bihl - Mathematics, 2021 - mdpi.com
In recent years, real-valued neural networks have demonstrated promising, and often
striking, results across a broad range of domains. This has driven a surge of applications …

[图书][B] Complex-valued neural networks: Utilizing high-dimensional parameters: Utilizing high-dimensional parameters

T Nitta - 2009 - books.google.com
Recent research indicates that complex-valued neural networks whose parameters (weights
and threshold values) are all complex numbers are in fact useful, containing characteristics …

Introducing quaternion multi-valued neural networks with numerical examples

AB Greenblatt, SS Agaian - Information Sciences, 2018 - Elsevier
This paper introduces a new quaternion multi-valued neural network architecture and
demonstrates its potential with numerical examples of multi-channel prediction and …

Complex-valued neural networks: Distinctive features

A Hirose, A Hirose - Complex-Valued Neural Networks, 2012 - Springer
Complex-valued neural networks (CVNNs) deal with information in complex domain with
complex-valued parameters and variables. As explained in Section 2.2 in relation to …