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Recognition capabilities of a Hopfield model with auxiliary hidden neurons
Marco Benedetti1, Victor Dotsenko2, Giulia Fischetti1
1Università di Roma La Sapienza, Piazzale Aldo Moro 5, I-00185 Rome, Italy.
Abstract:
We study the recognition capabilities of the Hopfield model with auxiliary hidden layers, which emerge naturally upon a Hubbard-Stratonovich transformation. We show that the recognition capabilities of such a model at zero temperature outperform those of the original Hopfield model, due to a substantial increase of the storage capacity and the lack of a naturally defined basin of attraction. The modified model does not fall abruptly into the regime of complete confusion when memory load exceeds a sharp threshold. This latter circumstance, together with an increase of the storage capacity, renders such a modified Hopfield model a promising candidate for further research, with possible diverse applications.
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