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IEEE Transactions on Systems Man and Cybernetics Part B (Cybernetics)
Article . 2012 . Peer-reviewed
License: IEEE Copyright
Data sources: Crossref
DBLP
Article . 2012
Data sources: DBLP
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A Note on Octonionic Support Vector Regression

Authors: Alistair Shilton; Daniel T. H. Lai; Braveena K. Santhiranayagam; Marimuthu Palaniswami;

A Note on Octonionic Support Vector Regression

Abstract

This note presents an analysis of the octonionic form of the division algebraic support vector regressor (SVR) first introduced by Shilton A detailed derivation of the dual form is given, and three conditions under which it is analogous to the quaternionic case are exhibited. It is shown that, in the general case of an octonionic-valued feature map, the usual "kernel trick" breaks down. The cause of this (and its interpretation) is discussed in some detail, along with potential ways of extending kernel methods to take advantage of the distinct features present in the general case. Finally, the octonionic SVR is applied to an example gait analysis problem, and its performance is compared to that of the least squares SVR, the Clifford SVR, and the multidimensional SVR.

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Australia
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Keywords

ResPubID22857, 9202 Health and Support Services, ResPubID25398, Decision Support Techniques, Pattern Recognition, Automated, 0903 Biomedical Engineering, division algebra, Artificial Intelligence, School of Engineering and Science, complex numbers, Computer Simulation, Clifford algebra, 0802 Computation Theory and Mathematics, quaternions, Models, Statistical, support vector regressor (SVR), multidimensional regression, School of Sport and Exercise Science, multiple-output (MIMO), 620, octonions, gait analysis, Regression Analysis, Algorithms

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Top 10%
Average
Average
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