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Retrieval properties of a Hopfield model with random asymmetric interactions

Chengxiang, Zhang and Dasgupta, Chandan and Singh, Manoranjan P (2000) Retrieval properties of a Hopfield model with random asymmetric interactions. In: Neural Computation, 12 (4). pp. 865-880.

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The process of pattern retrieval in a Hopfield model in which a random antisymmetric component is added to the otherwise symmetric synaptic matrix is studied by computer simulations. The introduction of the antisymmetric component is found to increase the fraction of random inputs that converge to the memory states. However, the size of the basin of attraction of a memory state does not show any significant change when asymmetry is introduced in the synaptic matrix. We show that this is due to the fact that the spurious fixed points, which are destabilized by the introduction of asymmetry, have very small basins of attraction. The convergence time to spurious fixed-point attractors increases faster than that for the memory states as the asymmetry parameter is increased. The possibility of convergence to spurious fixed points is greatly reduced if a suitable upper limit is set for the convergence time. This prescription works better if the synaptic matrix has an antisymmetric component

Item Type: Journal Article
Publication: Neural Computation
Publisher: MIT Press
Additional Information: Copyright of this article belongs to MIT Press.
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 19 Jul 2006
Last Modified: 27 Aug 2008 12:15
URI: http://eprints.iisc.ac.in/id/eprint/7937

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