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A neural network model composed of two-state and three-state neurons

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Abstract:

A neural network model composed of two-state (1 and -1) and three-state (1, 0 and -1) neurons is proposed. The two-state neurons are connected with the three-state ones only and vice versa. We derive dynamic equations for the model under the assumption of non-symmetrical dilution of connections. A zero-noise phase diagram is obtained and a region in which two fixed point solutions can coexist is found. Basins of attraction for the solutions are also investigated.

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Authors and Affiliations

  1. School of Informatics and Sciences, Nagoya University, Nagoya, 464-8601, Japan, , , , , , JP

    Y. Nakamura

  2. Institute of Molecular Physics, Polish Academy of Sciences, ul. Smoluchowskiego 17, 60-179 Poznan, Poland, , , , , , PL

    A.R. Ferchmin

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  1. Y. Nakamura
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  2. A.R. Ferchmin
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Received 26 October 1998 and Received in final form 12 February 1999

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Nakamura, Y., Ferchmin, A. A neural network model composed of two-state and three-state neurons. Eur. Phys. J. B 13, 305–312 (2000). https://doi.org/10.1007/s100510050036

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  • DOI: https://doi.org/10.1007/s100510050036

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