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Small-world neural networks, as well as diluted Hopfield networks, are constructed by using matrix decomposition and a connection elimination strategy. It is shown that, to a certain extent, eliminating the unimportant synaptic couplings does not degrade the network performance. Numerical simulations give strong evidence that the small-world and diluted neural networks, by consuming a small fraction...
The retrieval properties of the asymmetric Hopfield neural networks (AHNNs) with discrete-time dynamics are studied in this paper. It is shown that the asymmetry degree is an important factor influencing the network dynamics. Furthermore, a strategy for designing AHNNs of different sparsities is proposed. Numerical simulations show that AHNNs can perform as well as symmetric ones, and the diluted...
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