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Recollection ability of three-dimensional correlation matrix associative memory

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Abstract

This paper presents the approximate expression of the recollection probability of a three-dimensional correlation matrix autoassociative memory, in which each memorized pattern consists of binary (+1 or-1) elements, and discusses the recollection ability in comparison with that of the conventional two-dimensional correlation matrix associative memory. An associative memory using the correlation properties between memorized patterns desires the condition that the memorized patterns are mutually orthogonal or approximately orthogonal. The three-dimensional correlation matrix associative memory that inscribes the third order correlation of a memorized pattern heightens the recollection ability even though the above condition is not satisfied.

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  1. Faculty of Engineering, Osaka Electro-Communication University, 18-8 Hatsucho, 572, Neyagawa, Osaka, Japan

    Akira Shiozaki

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  1. Akira Shiozaki
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Shiozaki, A. Recollection ability of three-dimensional correlation matrix associative memory. Biol. Cybern. 50, 337–342 (1984). https://doi.org/10.1007/BF00336958

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  • DOI: https://doi.org/10.1007/BF00336958

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