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Transients and basins of attraction in neutral network models

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Zeitschrift für Physik B Condensed Matter

Abstract

Approximate dynamic mean field equations for a generalized Hopfield model are derived, which allow to calculate transient properties of this model. These equations are exact for short times and yield the replica symmetric solution as a stationary solution. They allow reliable computation of retrieval trajectories and basins of attraction of retrieval states, as demonstrated by comparison with simulations. The equations are derived for networks with arbitrary mean activity and results are given for the standard model and for low activities.

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Horner, H., Bormann, D., Frick, M. et al. Transients and basins of attraction in neutral network models. Z. Physik B - Condensed Matter 76, 381–398 (1989). https://doi.org/10.1007/BF01321917

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  • DOI: https://doi.org/10.1007/BF01321917

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