65 citations · 139 across the 12 of their papers we have counts for
11 papers · 1 filter
Analytic study of the three-urn model for separation of sand
G. M. Shim, B. Y. Park, J. D. Noh +1
We present an analytic study of the three-urn model for separation of sand. We solve analytically the master equation and the first-passage problem. We find that the stationary pro…
The Blume-Emery-Griffiths neural network: dynamics for arbitrary temperature
D. Bolle, J. Busquets Blanco, G. M. Shim +1
The parallel dynamics of the fully connected Blume-Emery-Griffiths neural network model is studied for arbitrary temperature. By employing a probabilistic signal-to-noise approach,…
Optimal Capacity of the Blume-Emery-Griffiths perceptron
D. Bolle, I. Perez Castillo, G. M. Shim
A Blume-Emery-Griffiths perceptron model is introduced and its optimal capacity is calculated within the replica-symmetric Gardner approach, as a function of the pattern activity a…
Analytic study of the urn model for separation of sand
G. M. Shim, B. Y. Park, Hoyun Lee
We present an analytic study of the urn model for separation of sand recently introduced by Lipowski and Droz (Phys. Rev. E 65, 031307 (2002)). We solve analytically the master equ…
Parallel dynamics of the fully connected Blume-Emery-Griffiths neural network
D. Bolle, J. Busquets Blanco, G. M. Shim
The parallel dynamics of the fully connected Blume-Emery-Griffiths neural network model is studied at zero temperature for arbitrary using a probabilistic approach. A recursive sch…
Local field dynamics in symmetric Q-Ising neural networks
D. Bolle', G. M. Shim
The time evolution of the local field in symmetric Q-Ising neural networks is studied for arbitrary Q. In particular, the structure of the noise and the appearance of gaps in the p…
Thermodynamic properties of extremely diluted symmetric Q-Ising neural networks
D. Bolle', D. M. Carlucci, G. M. Shim
Using the replica-symmetric mean-field theory approach the thermodynamic and retrieval properties of extremely diluted {\it symmetric} -Ising neural networks are studied. In par…
Q-Ising neural network dynamics: a comparative review of various architectures
D. Bolle, G. Jongen, G. M. Shim
This contribution reviews the parallel dynamics of Q-Ising neural networks for various architectures: extremely diluted asymmetric, layered feedforward, extremely diluted symmetric…
A replica approach to the state-dependent synapses neural network
D. Bollé, G. M. Shim, B. Van Mol
The replica method is applied to a neural network model with state-dependent synapses built from those patterns having a correlation with the state of the system greater than a cer…
Parallel dynamics of extremely diluted symmetric Q-Ising neural networks
D. Bolle, G. Jongen, G. M. Shim
The parallel dynamics of extremely diluted symmetric Q-Ising neural networks is studied for arbitrary Q using a probabilistic approach. In spite of the extremely diluted architectu…
Parallel dynamics of fully connected Q-Ising neural networks
D. Bollé, G. Jongen, G. M. Shim
Using a probabilistic approach we study the parallel dynamics of fully connected Q-Ising neural networks for arbitrary Q. A Lyapunov function is shown to exist at zero temperature.…