Abstract
This paper presents a model of self-correlation type associative memories using complex-valued continuous neural networks and studies its qualitative behaviors theoretically. The proposed model is an extension of the conventional real-valued associative memories of self-correlation type. We investigate the structures and asymptotic behaviors of solution orbits near each memory pattern. We also discuss a recalling condition of each memory pattern, that is, a condition which assures that each memory pattern is correctly recalled.
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References
G. M. Georgiou and C. Koutsougeras, “Complex domain backpropagation,” IEEE Trans. on Circuits and Systems, vol. 39, no. 5, pp. 330–334, May 1992.
N. Benvenuto and F. Piazza, “On the complex backpropagation algorithm” IEEE Trans. on Signal Processing, vol. 40, no. 4, pp. 967–969, Apr. 1992.
I. Nemoto and T. Kono, “Complex-valued neural network,” The Trans. of IEICE, vol. J74-D-II, no. 9, pp. 1282–1288, 1991 (in Japanese).
A.J. Noest, “Phaser neural network,” Neural Informaion Processing Systems, D.Z. Anderson, ed., pp. 584–591, AIP, New York, 1988.
A. Hirose, “Dynamics of fully complex-valued neural networks,” Electronics Letters, vol. 28, no. 16, pp. 1492–1494, 1992.
S. Jankowski, A. Lozowski, and J.M. Zurada, “Complex-valued multistate neural associative memory,” IEEE Trans. Neural Networks, vol. 7, no. 6, pp. 1491–1496, Nov. 1996.
J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, pp. 16–22, Springer-Verlag, New York, 1986.
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Kuroe, Y., Hashimoto, N., Mori, T. (2001). Qualitative Analysis of Continuous Complex-Valued Associative Memories. In: Dorffner, G., Bischof, H., Hornik, K. (eds) Artificial Neural Networks — ICANN 2001. ICANN 2001. Lecture Notes in Computer Science, vol 2130. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44668-0_117
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DOI: https://doi.org/10.1007/3-540-44668-0_117
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