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IEICE TRANSACTIONS on Fundamentals

Shift-Invariant Associative Memory Based on Homogeneous Neural Networks

Hiromi MIYAJIMA, Noritaka SHIGEI, Shuji YATSUKI

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Summary :

This paper proposes homogeneous neural networks (HNNs), in which each neuron has identical weights. HNNs can realize shift-invariant associative memory, that is, HNNs can associate not only a memorized pattern but also its shifted ones. The transition property of HNNs is analyzed by the statistical method. We show the probability that each neuron outputs correctly and the error-correcting ability. Further, we show that HNNs cannot memorize over the number,, of patterns, where m is the number of neurons and k is the order of connections.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E88-A No.10 pp.2600-2606
Publication Date
2005/10/01
Publicized
Online ISSN
DOI
10.1093/ietfec/e88-a.10.2600
Type of Manuscript
Special Section PAPER (Special Section on Nonlinear Theory and its Applications)
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