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Feed-Forward Chains of Recurrent Attractor Neural Networks Near Saturation

A. C. C. Coolen·L. Viana
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Abstract

We perform a stationary state replica analysis for a layered network of Ising spin neurons, with recurrent Hebbian interactions within each layer, in combination with strictly feed-forward Hebbian interactions between successive layers. This model interpolates between the fully recurrent and symmetric attractor network studied by Amit el al, and the strictly feed-forward attractor network studied by Domany et al. Due to the absence of detailed balance, it is as yet solvable only in the zero temperature limit. The built-in competition between two qualitatively different modes of operation, feed-forward (ergodic within layers) versus recurrent (non- ergodic within layers), is found to induce interesting phase transitions.

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A. C. C. Coolen, L. Viana. 1996-06-27. Feed-Forward Chains of Recurrent Attractor Neural Networks Near Saturation. https://doi.org/10.1088/0305-4470%2F29%2F24%2F011

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