Quaternionic Neural Networks for Associative Memories

作者: Teijiro Isokawa , Haruhiko Nishimura , Nobuyuki Matsui

DOI: 10.1002/9781118590072.CH5

关键词:

摘要: This chapter contains sections titled: Introduction Quaternionic Algebra Stability of Neural Networks Learning Schemes for Embedding Patterns Conclusion

参考文章(27)
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
Teijiro Isokawa, Haruhiko Nishimura, Naotake Kamiura, Nobuyuki Matsui, Dynamics of Discrete-Time Quaternionic Hopfield Neural Networks Lecture Notes in Computer Science. pp. 848- 857 ,(2007) , 10.1007/978-3-540-74690-4_86
Pietro Rotelli, Stefano De Leo, Local Hypercomplex Analyticity arXiv: Functional Analysis. ,(1997)
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)
Naotake Kamiura, Teijiro Isokawa, Haruhiko Nishimura, Nobuyuki Matsui, Ayumu Saitoh, On the Scheme of Quaternionic Multistate Hopfield Neural Network SCIS & ISIS SCIS & ISIS 2008. ,vol. 2008, pp. 809- 813 ,(2008) , 10.14864/SOFTSCIS.2008.0.809.0
Teijiro Isokawa, Haruhiko Nishimura, Nobuyuki Matsui, On the fundamental properties of fully quaternionic hopfield network international joint conference on neural network. pp. 1- 4 ,(2012) , 10.1109/IJCNN.2012.6252536
TEIJIRO ISOKAWA, HARUHIKO NISHIMURA, NAOTAKE KAMIURA, NOBUYUKI MATSUI, Associative memory in quaternionic Hopfield neural network. International Journal of Neural Systems. ,vol. 18, pp. 135- 145 ,(2008) , 10.1142/S0129065708001440
Sigurd Diederich, Manfred Opper, Learning of correlated patterns in spin-glass networks by local learning rules. Physical Review Letters. ,vol. 58, pp. 949- 952 ,(1987) , 10.1103/PHYSREVLETT.58.949
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