Recognition ability of the fully connected Hopfield neural network under a persistent stimulus field

V.M. Vieira, M.L. Lyra and C.R. da Silva

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 7, 1279-1288

Abstract: We investigate the pattern recognition ability of the fully connected Hopfield model of a neural network under the influence of a persistent stimulus field. The model considers a biased training with a stronger contribution to the synaptic connections coming from a particular stimulated pattern. Within a mean-field approach, we computed the recognition order parameter and the full phase diagram as a function of the stimulus field strength h, the network charge α and a thermal-like noise T. The stimulus field improves the network capacity in recognizing the stimulated pattern while weakening the first-order character of the transition to the non-recognition phase. We further present simulation results for the zero temperature case. A finite-size scaling analysis provides estimates of the transition point which are very close to the mean-field prediction.

Keywords: Neural network; Hopfield model; Biased training; Phase-diagram (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:7:p:1279-1288

DOI: 10.1016/j.physa.2008.12.025

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