Dynamics of a multi-layered perceptron model : a rigorous result

We derive exactly and rigorously the system of dynamical equations for a multilayered perceptron proposed by Domany, Meir and Kinzel (DMK-model). They describes both the main and the residual overlaps evolution Nous derivons exactement et rigoureusement les systemes d'equations dynamiques pour un perceptron multi-couches propose par Domany, Meir et Kinzel (DMK-model). Ces equations decrivent simultanement l'evolution des fonctions de recouvrement essentielles et residuelles