Topology and Computational Performance of Attractor Neural Networks

Patrick N. Mcgraw; Michael Menzinger

doi:10.1103/physreve.68.047102

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Topology and Computational Performance of Attractor Neural Networks

Patrick N. Mcgraw·Michael Menzinger

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Abstract

To explore the relation between network structure and function, we studied the computational performance of Hopfield-type attractor neural nets with regular lattice, random, small-world and scale-free topologies. The random net is the most efficient for storage and retrieval of patterns by the entire network. However, in the scale-free case retrieval errors are not distributed uniformly: the portion of a pattern encoded by the subset of highly connected nodes is more robust and efficiently recognized than the rest of the pattern. The scale-free network thus achieves a very strong partial recognition. Implications for brain function and social dynamics are suggestive.

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Patrick N. Mcgraw, Michael Menzinger. 2003-04-01. Topology and Computational Performance of Attractor Neural Networks. https://doi.org/10.1103/physreve.68.047102

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