THE INVESTIGATION OF THE SPIN GLASS PROPERTIES OF THE HOPFIELD NEURAL NETWORK MODEL

Fati̇h Yaşar ()
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Fati̇h Yaşar: Department of Physics Engineering, Hacettepe University, Ankara, Turkey

International Journal of Modern Physics C (IJMPC), 2005, vol. 16, issue 03, 427-437

Abstract: In this work, the Hopfield neural network model with infinite-range interactions is simulated by using the multicanonical algorithm. All simulations and measurements are done in spin glass states of the model with discrete± 1values of the random variables. Physical quantities such as the energy density, the ground-state entropy and the order parameters are evaluated at all temperatures. Our results in the spin glass region show multiple degenerate ground-states and good agreement with the replica symmetry mean field solutions.

Keywords: Monte Carlo; multicanonical method; Hopfield model; spin glass; neural network (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1142/S0129183105007224

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