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Prog. Theor. Phys. Vol. 89 No. 5 (1993) pp. 965-972
Fractal Neural Network
— Computational Performance as an Associative Memory
—
Eung-Soo Kim,
Masaki Sano and
Yasuji Sawada
Research Institute of Electrical Communication,
Tohoku University, Sendai 980
(Received January 25, 1993)
Abstract:
Associative memory with fractal connections was studied. We show numerically that the fractal neural network has a higher capability than randomly connected neural network for fractal pattern and fractally localized patterns, but not for random patterns. We discuss this result from a theoretical standpoint.
URL :
http://ptp.ipap.jp/link?PTP/89/965/
DOI : 10.1143/PTP.89.965
References:
- J. Hopfield, Proc. Natl. Acad. Sci. U.S.A. 79 (1982), 2554.
- B. Derrida, E. Gardner and A. Zippelius, Europhys. Lett. 4 (1987), 167.
-
A. Treves and D. J. Amit, J. of Phys. A21 (1988), 3155[IoP STACKS].
- H-F. Yanai, Y. Sawada and S. Yoshizawa, Network 2 (1991), 295.
- T. Takeda, Neurosci. Res. 13 (1992), 19.
- Y. Fukuda, K. Morogiwa and M. Tauchi, Biomed. Res. 9 (1988), suppl. 2, 139.
-
F. Caserta, H. E. Stanley, W. D. Eldred, G. Daccord, R. E. Hausmann and J. Nitmann, Phys. Rev. Lett. 64 (1990), 95[APS].
-
Y. Miyashita and H. S. Chang, Nature 331 (1988), 68[CrossRef].
- J. M. Fuster and J. P. Jervey, J. Neurosci. 2 (1982), 361.
- Y. Baram, IEEE SMC 19 5 (1989), 1133.
- J. W. Merrill and R. F. Port, Neural Networks 4 (1991), 53.
-
D. J. Willshaw and O. P. Buneman, Nature 222 (1969), 960[CrossRef].
- S. Amari, Neural Networks 2 (1989), 451.
-
D. Golomb, N. Rubin and H. Sompolinsky, Phys. Rev. A41 (1990), 1843[APS].
