Increased Storage Capacity in Hopfield Networks by Small-World Topology
We found via numerical simulations, that connectivity structure in sparsely connected hopfield networks for random bit patterns affects the storage capacity. Not only the number of local connections is important, but also, and in contrast, the recently found small-world-topology will increase the quality of recalled patterns. Here, we propose and investigate the impact from network network architecture to pattern storage capacity capabilities.
KeywordsSmall World Characteristic Path Length Local Connection Hopfield Network Pattern Recall
Unable to display preview. Download preview PDF.
- 5.Voigt, T., Opitz, T., de Lima, A.D.: Synchronous Oscillatory Activity in Immature Cortical Network is Driven by GABAergic Preplate Neurons. J. Neurosci. 21(22), 8895–8905 (2001)Google Scholar
- 6.Wang, X.F., Chen, G.: Small-World, Scale-Free and Beyond. IEEE circuits and systems magazine, first quarter (2003)Google Scholar
- 8.Herzog, A., Kube, K., Michaelis, B., de Lima, A.D., Voigt, T.: Connection strategies in neocortical networks. In: ESANN 2006 (in press, 2006)Google Scholar