Search Results - subject:"Cavity method"

Finite size effects for the Ising model on random graphs with varying dilution

Barré, Julien; Ciani, Antonia; Fanelli, Duccio; … - In: Physica A: Statistical Mechanics and its Applications 388 (2009) 17, pp. 3413-3425

parameter γ, using two different approaches: a replica based finite N expansion, and a cavity method. Numerical simulations are …

Persistent link: https://www.econbiz.de/10011063939

Statics and dynamics of the Lebwohl–Lasher model in the Bethe approximation

Skantzos, N.S.; Hatchett, J.P.L. - In: Physica A: Statistical Mechanics and its Applications 381 (2007) C, pp. 202-212

We study the Lebwohl–Lasher model for systems in which spins are arranged on random graph lattices. At equilibrium our analysis follows the theory of spin-systems on random graphs which allows us to derive exact bifurcation conditions for the phase diagram. We also study the dynamics of this...

Persistent link: https://www.econbiz.de/10010589336

Probabilistic data modelling with adaptive TAP mean-field theory

Opper, Manfred; Winther, Ole - In: Physica A: Statistical Mechanics and its Applications 302 (2001) 1, pp. 119-125

We demonstrate for the case of single-layer neural networks how an extension of the TAP mean-field approach of disorder physics can be applied to the computation of approximate averages in probabilistic models for real data.

Persistent link: https://www.econbiz.de/10010871824

Complex dynamics in learning systems

Wong, K.Y. Michael; Li, S; Tong, Y.W - In: Physica A: Statistical Mechanics and its Applications 288 (2000) 1, pp. 397-401

asymptotic dynamics or simple learning rules. Using the cavity method and diagrammatic techniques, we introduce a new framework …

Persistent link: https://www.econbiz.de/10010589918