64 citations · 297 across the 11 of their papers we have counts for
11 papers
Parallel dynamics of disordered Ising spin systems on finitely connected directed random graphs with arbitrary degree distributions
Kazushi Mimura, A. C. C. Coolen
We study the stochastic parallel dynamics of Ising spin systems defined on finitely connected directed random graphs with arbitrary degree distributions, using generating functiona…
Generating functional analysis of minority games with inner product strategy definitions
A. C. C. Coolen, N. Shayeghi
We use generating functional methods to solve the so-called inner product versions of the minority game (MG), with fake and/or real market histories, by generalizing the theory dev…
Finitely connected vector spin systems with random matrix interactions
A. Coolen, N. S. Skantzos, I. Perez Castillo +4
We use finite connectivity equilibrium replica theory to solve models of finitely connected unit-length vectorial spins, with random pair-interactions which are of the orthogonal m…
Dynamical replica analysis of disordered Ising spin systems on finitely connected random graphs
J. P. L. Hatchett, I. Pérez Castillo, A. C. C. Coolen +1
We study the dynamics of macroscopic observables such as the magnetization and the energy per degree of freedom in Ising spin models on random graphs of finite connectivity, with r…
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…
Slowly evolving geometry in recurrent neural networks I: extreme dilution regime
B. Wemmenhove, N. S. Skantzos, A. C. C. Coolen
We study extremely diluted spin models of neural networks in which the connectivity evolves in time, although adiabatically slowly compared to the neurons, according to stochastic…