The Cavity Method: a New Approach to Neural Network Analysis

نویسنده

  • K. Y. MICHAEL WONG
چکیده

Using the cavity method I derive the microscopic equations and their stability condition for learning in neural networks. Iterating the microscopic equations provides a general algorithm for learning. Macroscopic results agree with the replica theory and the Almeida-Thouless stability condition. They are applied to derive the evolution equations of the overlap order parameter and the noise parameter in the retrieval dynamics of feedforward neural networks.

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تاریخ انتشار 2007