Abstract
A quick tour of relevant algebra is York and Yi, Clifford neural networks and chaotic time series. http://www.deepstem.com/Bio/SysSci-CNN-york.pdf, 2013, [1].
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
Hitzer, E., Introduction to Clifford’s Geometric Algebra, SICE Journal of Control, Measurement, and System Integration, 2011, 4(1), 1–10.
- 2.
Buchholz, S., and Tachibana, K., and Hitzer, E. M.S., Optimal Learning Rates for Clifford Neurons, Lecture Notes in Computer Science, 2007, 4668, 864–873.
- 3.
Ding, L., and Feng, H., and Hua, L., Multi-degree of Freedom Neurons Geometric Computation Based on Clifford Algebra, Fourth International Conference on Intelligent Computation Technology and Automation, 2011, 177–180.
- 4.
Buchholz, S., A Theory of Neural Computation with Clifford Algebras, Kiel, 2005, http://www.informatik.uni-kiel.de/inf/Sommer/doc/Dissertationen/Sven_Buchholz/diss.pdf.
- 5.
Ahn, S. H, 2009. Math. http://www.songho.ca/math/index.html.
- 6.
Ahn, S. H, 2009. Math. http://www.songho.ca/math/index.html.
References
B.W. York and Q. Yi. Clifford neural networks and chaotic time series. http://www.deepstem.com/Bio/SysSci-CNN-york.pdf, 2013.
E. Bayro-Corrochano, R. Vallejo, and N. Arana-Daniel. Geometric preprocessing, geometric feedforward neural networks and clifford support vector machines for visual learning. Neurocomputing, 67:54–105, 2005.
L. Ding, H. Feng, and L. Hua. Multi-degree of freedom neurons geometric computation based on Clifford algebra. In Fourth International Conference on Intelligent Computation Technology and Automation, pages 177–180, 2011.
I. Iatan and M. de Rijke. A fuzzy Gaussian Clifford neural network. (work in progress), 2014.
S. Buchholz and G. Sommer. On Clifford neurons and Clifford multi-layer perceptrons. Neural Networks, 21:925–935, 2008.
Y.B. Jia. Quaternions and rotations. http://www.cs.iastate.edu/~cs577/handouts/quaternion.pdf, 2013.
S. H. Ahn. Math. http://www.songho.ca/math/index.html, 2009.
S. Buchholz and G. Sommer. Introduction to neural computation in Clifford algebra. http://www.informatik.uni-kiel.de/inf/Sommer/doc/Publications/geocom/buchholz_sommer1.pdf, 2010.
V. Neagoe, I. Iatan, and S. Grunwald. A neuro-fuzzy approach to ecg signal classification for ischemic heart disease diagnosis. In the American Medical Informatics Association Symposium (AMIA 2003), Nov. 8–12 2003, Washington DC, pages 494–498, 2003.
V. Neagoe and I. Iatan. Face recognition using a fuzzy-gaussian neural network. In Proceedings of First IEEE International Conference on Cognitive Informatics, ICCI 2002, 19–20 August 2002, Calgary, Alberta, Canada, pages 361–368, 2002.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2017 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Iatan, I.F. (2017). A Fuzzy Gaussian Clifford Neural Network. In: Issues in the Use of Neural Networks in Information Retrieval. Studies in Computational Intelligence, vol 661. Springer, Cham. https://doi.org/10.1007/978-3-319-43871-9_5
Download citation
DOI: https://doi.org/10.1007/978-3-319-43871-9_5
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-43870-2
Online ISBN: 978-3-319-43871-9
eBook Packages: EngineeringEngineering (R0)