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Phase transition in a Willshaw net

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Zeitschrift für Physik B Condensed Matter

Abstract

A neural network of Willshaw type is investigated under the crucial assumption of no overlap betweenp stored patterns covering the net completely. Taking the thermodynamic limit withp remaining finite a first order phase transition is found, indicating the transition from population of one stored pattern to equal population of all stored patterns. The approximation used to keep mathematics tractable is of Gaussian type.

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Krisement, O. Phase transition in a Willshaw net. Z. Physik B - Condensed Matter 86, 145–149 (1992). https://doi.org/10.1007/BF01323559

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  • DOI: https://doi.org/10.1007/BF01323559

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