Hopfield networks as discrete dynamical systems

C.J.S. deSilva; Y. Attikiouzel

doi:10.1109/IJCNN.1992.227183

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Hopfield networks as discrete dynamical systems

Conference paper

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Hopfield networks as discrete dynamical systems

C.J.S. deSilva and Y. Attikiouzel

[Proceedings 1992] IJCNN International Joint Conference on Neural Networks, Vol.3, pp.115-120

IEEE

International Joint Conference on Neural Networks, 1992. IJCNN (Baltimore, Maryland, USA, 07/06/1992–11/06/1992)

1992

DOI: https://doi.org/10.1109/IJCNN.1992.227183

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Abstract

A geometrical approach based on dynamical systems theory is presented for the analysis of Hopfield networks. Basic definitions from dynamical systems theory are presented and illustrated with a simple example. The eigenspaces of the weight matrix, the geometry of the energy manifold, and the diffeomorphisms induced by the sphere are presented as tools for the study of network dynamics. Some simple results are given. A number of topics for further research are proposed

Details

Title: Hopfield networks as discrete dynamical systems
Authors/Creators: C.J.S. deSilva (Author/Creator) - The University of Western Australia
Y. Attikiouzel (Author/Creator) - The University of Western Australia
Publication Details: [Proceedings 1992] IJCNN International Joint Conference on Neural Networks, Vol.3, pp.115-120
Conference: International Joint Conference on Neural Networks, 1992. IJCNN (Baltimore, Maryland, USA, 07/06/1992–11/06/1992)
Publisher: IEEE
Identifiers: 991005541874007891
Murdoch Affiliation: Murdoch University
Language: English
Resource Type: Conference paper

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