Abstract
Associative memories are one of the popular applications of neural networks and several studies on their extension to the complex domain have been done. One of the important factors to characterize behavior of a complex-valued neural network is its activation function which is a nonlinear complex function. We have already proposed a model of self-correlation type associative memories using complex-valued neural networks with one of the most commonly used activation function. In this paper, we propose two additional models using different nonlinear complex functions and investigated their behaviors as associative memories theoretically. Comparisons are also made among these three models in terms of dynamics and storage capabilities.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Hirose, A.: Dynamics of fully complex-valued neural networks. Electronics Letters 28(16), 1492–1494 (1992)
Kuroe, Y., Hashimoto, N., Mori, T.: Qualitative analysis of a self-correlation type complex-valued associative memories. Nonlinear Analysis 47, 5795–5806
Kuroe, Y., Hashimoto, N., Mori, T.: Qualitative Analysis of Continuous Complex-Valued Associative Memories. In: Dorffner, G., Bischof, H., Hornik, K. (eds.) ICANN 2001. LNCS, vol. 2130, pp. 843–850. Springer, Heidelberg (2001)
Nemoto, I., Kono, T.: Complex-valued neural network. The Trans. of IEICE J74-D-II (9), 1282–1288 (1991) (in Japanese)
Noest, A.J.: Phaser neural network. In: Anderson, D.Z. (ed.) Neural Informaion Processing Systems, pp. 584–591. AIP, New York (1988)
Jankowski, S., Lozowski, A., Zurada, J.M.: Complex-valued multistate neural associative memory. IEEE Trans. Neural Networks 7(6), 1491–1496 (1996)
Georgiou, G.M., Koutsougeras, C.: Complex Domain Backpropagation. IEEE Transactions on Circuits and Systems-II 39(5), 330–334 (1992)
Kuroe, Y., Yoshida, M., Mori, T.: On Activation Functions for Complex-Valued Neural Networks - Existence of Energy Functions. In: Kaynak, O., Alpaydın, E., Oja, E., Xu, L. (eds.) ICANN 2003 and ICONIP 2003. LNCS, vol. 2714, pp. 985–992. Springer, Heidelberg (2003)
Sastry, S.: Nonlinear Systems Analysis, Stability, and Control. Springer, Heidelberg (1999)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Kuroe, Y., Taniguchi, Y. (2005). Models of Self-correlation Type Complex-Valued Associative Memories and Their Dynamics. In: Duch, W., Kacprzyk, J., Oja, E., Zadrożny, S. (eds) Artificial Neural Networks: Biological Inspirations – ICANN 2005. ICANN 2005. Lecture Notes in Computer Science, vol 3696. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11550822_30
Download citation
DOI: https://doi.org/10.1007/11550822_30
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-28752-0
Online ISBN: 978-3-540-28754-4
eBook Packages: Computer ScienceComputer Science (R0)