A. Romeo et G. Ruffini, REPLICA-SYMMETRICAL APPROACH TO A HIDDEN-LAYER FEATURE DETECTOR, International journal of modern physics C, 8(5), 1997, pp. 1119-1130
We take further the study of a learning-generalization process in a hi
dden-layer network for a given three-bit feature distinction by applic
ation of the replica method. When doing so, we are led to an Ising mod
el with both external and random fields which cause considerable diffi
culties. Several approximations for this system are discussed.