The capacity of the Hopfield associative memory
IEEE Transactions on Information Theory
On subspaces spanned by random selections of ±1 vectors
Journal of Combinatorial Theory Series A - The Herbert J. Ryser Memorial Issue, Part 1
Basins of attraction in a perceptron-like neural network
Complex Systems
Collective phenomena in neural networks
Models of neural networks
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The retrieval quality for the strongly diluted network with selfinteraction is calculated rigorously for any time step and arbitrary distribution of the stabilities. For the network with a delta and a Gaussian distribution of the stabilities, respectively, the optimal strength of the selfinteraction for one time step is given by an explicit expression. Different definitions for the critical storage capacity of the net with constant stabilities are analyzed. According to the most usual definition, the net with optimal selfinteraction has an infinite storage capacity. The approximated optimal retrieval quality found by neglection of correlations is larger than the exact optimal retrieval quality.