We present results for the determination of the equilibrium microstate probability distribution of a class of strongly interacting systems obeying stochastic dynamics but without the necessity of detailed balance. The specific case of Ising systems is highlighted, with applications to...

We consider training noise in neural networks as a means of tuning the structure of retrieval basins, and study how learning and retrieving properties depend on it. The stability of the replica symmetric solution and the correlation in the weight space indicate that neural networks can be...

We define modulated replica symmetry breaking (RSB) schemes which combine tree- and wave-like structures. A modulated scheme and unmodulated RSB are evaluated at 1-step level for a semiconductor model with antiferromagnetic Korenblit-Shender interaction. By comparison of the free energies we...

We study the dynamics of a version of the batch minority game, with random external information and with different types of inhomogeneous decision noise (additive and multiplicative), using generating functional techniques \`{a} la De Dominicis. The control parameters in this model are the ratio...

We apply the principle of adaptation to optimize the performance of neural networks with (i) noisy retrieval and (ii) disruptive dilution.

We consider a neural network model which exhibits novel behaviours in sequential learning other than simple primacy and recency effects.

We discuss recent work in the study of a simple model for the collective behaviour of diverse speculative agents in an idealized stockmarket, considered from the perspective of the statistical physics of many-body systems. The only information about other agents available to any one is the total...

We study the role of strategy correlations and timing of adaptation for the dynamics of Minority Games, both simulationally and analytically. Using the exact generating functional approach à la De Dominicis we compute the phase diagram and the behaviour of batch and on-line games with...