The Loss Surfaces of Multilayer Networks

  title={The Loss Surfaces of Multilayer Networks},
  author={Anna Choromanska and Mikael Henaff and Micha{\"e}l Mathieu and G{\'e}rard Ben Arous and Yann LeCun},
We study the connection between the highly non-convex loss function of a simple model of the fully-connected feed-forward neural network and the Hamiltonian of the spherical spin-glass model under the assumptions of: i) variable independence, ii) redundancy in network parametrization, and iii) uniformity. These assumptions enable us to explain the complexity of the fully decoupled neural network through the prism of the results from random matrix theory. We show that for large-size decoupled… CONTINUE READING
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