Recognition ability of the fully connected Hopfield neural network under a persistent stimulus field
✍ Scribed by V.M. Vieira; M.L. Lyra; C.R. da Silva
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 984 KB
- Volume
- 388
- Category
- Article
- ISSN
- 0378-4371
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✦ Synopsis
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.