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Multifractality in forgetful memories

Learning rules of a forgetful memory generate their synaptic efficacies through iterative procedures that operate on the input data, random patterns. We analyse invariant distributions of the synaptic couplings as they arise asymptotically and show that they exhibit fractal or multifractal propertie...

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Bibliographic Details
Main Authors: Behn, Udo (Author) , van Hemmen, J. L. (Author) , Kühn, Reimer (Author) , Lange, A. (Author) , Zagrebnov, V. A. (Author)
Format: Article (Journal)
Language:English
Published: 1993
In: Physica. D, Nonlinear phenomena
Year: 1993, Volume: 68, Issue: 3, Pages: 401-415
ISSN:1872-8022
DOI:10.1016/0167-2789(93)90133-L
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/0167-2789(93)90133-L
Verlag, lizenzpflichtig, Volltext: https://www.sciencedirect.com/science/article/pii/016727899390133L
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Author Notes:U. Behn, J.L. van Hemmen, R. Kühn, A. Lange, V.A. Zagrebnov
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Summary:Learning rules of a forgetful memory generate their synaptic efficacies through iterative procedures that operate on the input data, random patterns. We analyse invariant distributions of the synaptic couplings as they arise asymptotically and show that they exhibit fractal or multifractal properties. We also discuss their dependence upon the learning rule and the parameters specifying it, and indicate how the nature of the invariant distribution is related to the network performance.
Item Description:Elektronische Reproduktion der Druck-Ausgabe 6. August 2002
Gesehen am 14.06.2023
Physical Description:Online Resource
ISSN:1872-8022
DOI:10.1016/0167-2789(93)90133-L

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