Recognition ability of the fully connected Hopfield neural network under a persistent stimulus field |
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Authors: | VM Vieira CR da Silva |
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Institution: | Instituto de Física, Universidade Federal de Alagoas, 57072-970 Maceió, AL, Brazil |
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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. |
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Keywords: | Neural network Hopfield model Biased training Phase-diagram |
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