Fundamental Properties of Quaternionic Hopfield Neural Network
作者： T. Isokawa , H. Nishimura , N. Kamiura , N. Matsui
DOI: 10.1109/IJCNN.2006.246683
关键词:
摘要: … the division ring of quaternions, thus constitutes the fourdimensional vector space over the real … where p · q and p × q denote the dot and cross products respectively between three …
sci-hub.se 参考文章(10)
Gerald Sommer, Sven Buchholz, Quaternionic spinor MLP. the european symposium on artificial neural networks. pp. 377- 382 ,(2000)
Akira Hirose, None, Complex-Valued Neural Networks: Theories and Applications WORLD SCIENTIFIC. ,(2003) , 10.1142/5345
Tohru Nitta, Aist Tsukuba, A Solution to the 4-bit Parity Problem with a Single Quaternary Neuron ,(2004)
Ferdinand Peper, Teijiro Isokawa, Haruhiko Nishimura, Nobuyuki Matsui, Hiromi Kusamichi, Quaternion neural network with geometrical operators Journal of Intelligent and Fuzzy Systems. ,vol. 15, pp. 149- 164 ,(2004)
MITSUO YOSHIDA, YASUAKI KUROE, TAKEHIRO MORI, Models of Hopfield-type quaternion neural networks and their energy functions. International Journal of Neural Systems. ,vol. 15, pp. 129- 135 ,(2005) , 10.1142/S012906570500013X
P. Arena, L. Fortuna, G. Muscato, M.G. Xibilia, Multilayer perceptrons to approximate quaternion valued functions Neural Networks. ,vol. 10, pp. 335- 342 ,(1997) , 10.1016/S0893-6080(96)00048-2
J. J. Hopfield, Neural networks and physical systems with emergent collective computational abilities Proceedings of the National Academy of Sciences of the United States of America. ,vol. 79, pp. 2554- 2558 ,(1982) , 10.1073/PNAS.79.8.2554
T. Nitta, An Extension of the Back-propagation Algorithm to Quaternions international conference on neural information processing. ,vol. 1, pp. 247- 250 ,(1996)
Neural networks in multidimensional domains Journal of systems engineering. ,vol. 6, pp. 1- 11 ,(1998) , 10.1007/BFB0047683
Hiromi Kusamichi, Teijiro Isokawa, Nobuyuki Matsui, Yuzo Ogawa, Kazuaki Maeda, A New Scheme for Color Night Vision by Quaternion Neural Network Proc. of the 2nd International Conference on Autonomous Robots and Agents, December 2004. ,(2004)