NDLI: Pseudo-Orthogonalization of Memory Patterns for Complex-Valued and Quaternionic Associative Memories

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Pseudo-Orthogonalization of Memory Patterns for Complex-Valued and Quaternionic Associative Memories

Content Provider	Scilit
Author	Minemoto, Toshifumi Isokawa, Teijiro Nishimura, Haruhiko Matsui, Nobuyuki
Copyright Year	2017
Abstract	Hebbian learning rule is well known as a memory storing scheme for associative memory models. This scheme is simple and fast, however, its performance gets decreased when memory patterns are not orthogonal each other. Pseudo-orthogonalization is a decorrelating method for memory patterns which uses XNOR masking between the memory patterns and randomly generated patterns. By a combination of this method and Hebbian learning rule, storage capacity of associative memory concerning non-orthogonal patterns is improved without high computational cost. The memory patterns can also be retrieved based on a simulated annealing method by using an external stimulus pattern. By utilizing complex numbers and quaternions, we can extend the pseudo-orthogonalization for complex-valued and quaternionic Hopfield neural networks. In this paper, the extended pseudo-orthogonalization methods for associative memories based on complex numbers and quaternions are examined from the viewpoint of correlations in memory patterns. We show that the method has stable recall performance on highly correlated memory patterns compared to the conventional real-valued method.
Related Links	https://content.sciendo.com/downloadpdf/journals/jaiscr/7/4/article-p257.pdf http://www.degruyter.com/downloadpdf/j/jaiscr.2017.7.issue-4/jaiscr-2017-0018/jaiscr-2017-0018.xml
Ending Page	264
Page Count	8
Starting Page	257
e-ISSN	20832567
DOI	10.1515/jaiscr-2017-0018
Journal	Journal of Artificial Intelligence and Soft Computing Research
Issue Number	4
Volume Number	7
Language	English
Publisher	Walter de Gruyter GmbH
Publisher Date	2017-05-03
Access Restriction	Open
Subject Keyword	Journal of Artificial Intelligence and Soft Computing Research Hardware and Architecturee Hopfield Neural Network Pseudo-orthogonalization Complex Numbers Quaternions Journal: Journal of Artificial Intelligence and Soft Computing Research, Vol- 7
Content Type	Text
Resource Type	Article

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