Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2006-08-04
Phys. Rev. E 74 (2006) 017103
Physics
Condensed Matter
Disordered Systems and Neural Networks
4 pages
Scientific paper
10.1103/PhysRevE.74.017103
The self-consistent signal-to-noise analysis (SCSNA) is an alternative to the replica method for deriving the set of order parameter equations for associative memory neural network models and is closely related with the Thouless-Anderson-Palmer equation (TAP) approach. In the recent paper by Shiino and Yamana the Onsager reaction term of the TAP equation has been found to be obtained from the SCSNA for Hopfield neural networks with 2-body interaction. We study the TAP equation for an associative memory stochastic analog neural network with 3-body interaction to investigate the structure of the Onsager reaction term, in connection with the term proportional to the output characteristic to the SCSNA. We report the SCSNA framework for analog networks with 3-body interactions as well as a novel recipe based on the cavity concept that involves two cavities and the hybrid use of the SCSNA to obtain the TAP equation.
Ichiki Akihisa
Shiino Masatoshi
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