A random energy approach to deep learning

作者:Xie, Rongrong; Marsili, Matteo*
来源:JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2022, 2022(7): 073404.
DOI:10.1088/1742-5468/ac7794

摘要

We study a generic ensemble of deep belief networks (DBN) which is parametrized by the distribution of energy levels of the hidden states of each layer. We show that, within a random energy approach, statistical dependence can propagate from the visible to deep layers only if each layer is tuned close to the critical point during learning. As a consequence, efficiently trained learning machines are characterised by a broad distribution of energy levels. The analysis of DBNs and restricted Boltzmann machines on different datasets confirms these conclusions.

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