Quaternion-valued echo state networks

IEEE Transactions on Neural Networks and Learning Systems
Yili XiaDanilo P Mandic

Abstract

Quaternion-valued echo state networks (QESNs) are introduced to cater for 3-D and 4-D processes, such as those observed in the context of renewable energy (3-D wind modeling) and human centered computing (3-D inertial body sensors). The introduction of QESNs is made possible by the recent emergence of quaternion nonlinear activation functions with local analytic properties, required by nonlinear gradient descent training algorithms. To make QENSs second-order optimal for the generality of quaternion signals (both circular and noncircular), we employ augmented quaternion statistics to introduce widely linear QESNs. To that end, the standard widely linear model is modified so as to suit the properties of dynamical reservoir, typically realized by recurrent neural networks. This allows for a full exploitation of second-order information in the data, contained both in the covariance and pseudocovariances, and a rigorous account of second-order noncircularity (improperness), and the corresponding power mismatch and coupling between the data components. Simulations in the prediction setting on both benchmark circular and noncircular signals and on noncircular real-world 3-D body motion data support the analysis.

References

Mar 1, 1997·Neural Networks : the Official Journal of the International Neural Network Society·M G. XibiliaP Arena
May 25, 2005·International Journal of Neural Systems·Mitsuo YoshidaTakehiro Mori
May 26, 2006·IEEE Transactions on Neural Networks·Michael Buehner, Peter Young
Jun 17, 2006·Journal of Molecular Graphics & Modelling·Charles F F Karney
Dec 1, 2006·Neural Computation·Mustafa C OzturkJosé C Príncipe
Feb 8, 2007·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Todd A Ell, Stephen J Sangwine
May 23, 2007·Neural Networks : the Official Journal of the International Neural Network Society·Herbert JaegerUdo Siewert
Nov 3, 2007·Neural Networks : the Official Journal of the International Neural Network Society·Su Lee Goh, Danilo P Mandic
Jan 1, 1996·IEEE Transactions on Neural Networks·S JankowskiJ M Zurada
May 3, 2008·International Journal of Neural Systems·Teijiro IsokawaNobuyuki Matsui
Nov 21, 2009·Neural Networks : the Official Journal of the International Neural Network Society·Bukhari Che UjangDanilo P Mandic
Nov 16, 2010·IEEE Transactions on Neural Networks·Yili XiaDanilo P Mandic
Jun 30, 2011·IEEE Transactions on Neural Networks·Bukhari Che UjangDanilo P Mandic
Aug 2, 2011·IEEE Transactions on Neural Networks·Sotirios P Chatzis, Yiannis Demiris
May 9, 2014·IEEE Transactions on Neural Networks and Learning Systems·Felipe A TobarDanilo P Mandic
May 9, 2014·IEEE Transactions on Neural Networks and Learning Systems·Cyrus Jahanchahi, Danilo P Mandic
Jan 1, 2012·IEEE Transactions on Neural Networks and Learning Systems·Bai ZhangYue Wang

❮ Previous
Next ❯

Citations

Jun 19, 2015·IEEE Transactions on Neural Networks and Learning Systems·Dongpo XuDanilo P Mandic
Feb 3, 2015·IEEE Transactions on Neural Networks and Learning Systems·Yili XiaDanilo P Mandic
Sep 12, 2015·Royal Society Open Science·Dongpo XuDanilo P Mandic
May 11, 2017·IEEE Transactions on Neural Networks and Learning Systems·Marcos Eduardo Valle, Fidelis Zanetti de Castro

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

IEEE Transactions on Neural Networks
Bukhari Che UjangDanilo P Mandic
IEEE Transactions on Neural Networks and Learning Systems
Bukhari Che UjangDanilo P Mandic
IEEE Transactions on Neural Networks and Learning Systems
Cyrus Jahanchahi, Danilo P Mandic
IEEE Transactions on Neural Networks and Learning Systems
Yili XiaDanilo P Mandic
© 2021 Meta ULC. All rights reserved