Selected aspects of complex, hypercomplex and fuzzy neural networks

TL;DR

This report summarizes current research and methodologies on complex, hypercomplex, and fuzzy neural networks, highlighting their theoretical foundations and practical applications, based on a recent collaborative project meeting.

Contribution

It provides an overview of the state-of-the-art in complex, hypercomplex, and fuzzy neural networks, emphasizing recent developments and research interests.

Findings

Summarizes current research trends in complex neural networks

Highlights the importance of fuzzy and hypercomplex approaches

Reflects on the rapid development of the field

Abstract

This short report reviews the current state of the research and methodology on theoretical and practical aspects of Artificial Neural Networks (ANN). It was prepared to gather state-of-the-art knowledge needed to construct complex, hypercomplex and fuzzy neural networks. The report reflects the individual interests of the authors and, by now means, cannot be treated as a comprehensive review of the ANN discipline. Considering the fast development of this field, it is currently impossible to do a detailed review of a considerable number of pages. The report is an outcome of the Project 'The Strategic Research Partnership for the mathematical aspects of complex, hypercomplex and fuzzy neural networks' meeting at the University of Warmia and Mazury in Olsztyn, Poland, organized in September 2022.