40 citations · 199 across the 12 of their papers we have counts for
3 papers · 1 filter
Replica symmetry breaking in the `small world' spin glass
B Wemmenhove, T Nikoletopoulos, J P L Hatchett
We apply the cavity method to a spin glass model on a `small world' lattice, a random bond graph super-imposed upon a 1-dimensional ferromagnetic ring. We show the correspondence w…
Asymmetrically extremely dilute neural networks with non-trivial dynamics
J. P. L. Hatchett, A. C. C. Coolen
We study graded response attractor neural networks with asymmetrically extremely dilute interactions and Langevin dynamics. We solve our model in the thermodynamic limit using gene…
Analytic solution of attractor neural networks on scale-free graphs
I. Pérez Castillo, B. Wemmenhove, J. P. L. Hatchett +3
We study the influence of network topology on retrieval properties of recurrent neural networks, using replica techniques for diluted systems. The theory is presented for a network…