Optimal capacity of graded-response perceptrons: a replica-symmetry-breaking solution
D. Bollé, Rubem Erichsen · Journal of Physics A Mathematical and General · 1996
Optimal capacities of perceptrons with graded input - output relations are studied within the first-step replica-symmetry-breaking Gardner approach. Input-data errors and a limited output precision are allowed. In particular, the role of non-monotonicity in the input - output relations on the breaking and on the overall performance is determined.