Fixed points of the Abe formulation of Stochastic Hopfield Networks. - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2007

Fixed points of the Abe formulation of Stochastic Hopfield Networks.

Résumé

The stability of stochastic Hopfield neural networks, in the Abe formulation, is studied. The aim is to determine whether the ability of the deterministic system to solve combinatorial optimization problems is preserved after the addition of random noise. In particular, the stochastic stability of the attractor set is analyzed: vertices, which are feasible points of the problem, should be stable, whereas interior points, which are unfeasible, should be unstable. Conditions on the noise intensity are stated, so that these properties are guaranteed. This theoretical investigation establishes the foundations for practical application of stochastic networks to combinatorial optimization.

Dates et versions

hal-00179444 , version 1 (15-10-2007)

Identifiants

Citer

Marie Kratz, Miguel Atencia, Gonzalo Joya. Fixed points of the Abe formulation of Stochastic Hopfield Networks.. 17th ICANN, Sep 2007, Porto, Portugal. pp.599-608, ⟨10.1007/978-3-540-74690-4_61⟩. ⟨hal-00179444⟩
79 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More