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Quaternion-valued recurrent projection neural networks on unit quaternions

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Author(s):
Valle, Marcos Eduardo ; Lobo, Rodolfo Anibal
Total Authors: 2
Document type: Journal article
Source: THEORETICAL COMPUTER SCIENCE; v. 843, p. 17-pg., 2020-12-02.
Abstract

Hypercomplex-valued neural networks, including quaternion-valued neural networks, can treat multi-dimensional data as a single entity. In this paper, we present the quaternion-valued recurrent projection neural networks (QRPNNs). Briefly, the QRPNNs are obtained by combining the non-local projection learning with the quaternion-valued recurrent correlation neural network (QRCNNs). We show that the QRPNNs overcome the cross-talk problem of the QRCNNs. Thus, they are appropriate to implement associative memories. Furthermore, computational experiments reveal that the QRPNNs exhibit greater storage capacity and noise tolerance than their corresponding QRCNNs. (c) 2020 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 19/02278-2 - Mathematical Morphology and Morphological Neural Networks for Multivalued Data
Grantee:Marcos Eduardo Ribeiro Do Valle Mesquita
Support Opportunities: Regular Research Grants