Diluted neural networks with binary couplings: a replica symmetry breaking calculation of the storage capacity

摘要

We perform a one-stage Relica Symmetry Breaking calculation of the storage capacity of the annealed-dilution network with binary couplings and show that a Replica Symmetry calculation with the additional condition that the entropy vanishes at T=O gives the same result. This generalizes a result previously obtained by Krauth and Mezard for the non-diluted case.