Recollection ability of three-dimensional correlation matrix associative memory |
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Authors: | Akira Shiozaki |
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Institution: | (1) Faculty of Engineering, Osaka Electro-Communication University, 18-8 Hatsucho, 572 Neyagawa, Osaka, Japan |
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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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