Hopfield networks on certain curved spaces (CP^{d-1}) can store far more patterns than traditional vector networks, with capacity growing with the space dimension.
Kanter, Potts-glass models of neural networks, Phys
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High-Capacity Generalized Hopfield Networks
Hopfield networks on certain curved spaces (CP^{d-1}) can store far more patterns than traditional vector networks, with capacity growing with the space dimension.