From complex to simple : hierarchical free-energy landscape renormalized in deep neural networks

22 Oct 2019Hajime Yoshino

We develop a statistical mechanical approach based on the replica method to study the design space of deep and wide neural networks constrained to meet a large number of training data. Specifically, we analyze the configuration space of the synaptic weights and neurons in the hidden layers in a simple feed-forward perceptron network for two scenarios: a setting with random inputs/outputs and a teacher-student setting... (read more)

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