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Free energy fluctuations of symmetric perceptron models up to and including criticality

Du, Hang et al.
arXiv (All) · Papers
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60b20disordered-systems-and-neural-networksmathematical-physicsprobability
We study the free energy fluctuations of spherical and Ising perceptron models with general even activations. These include the symmetric binary perceptron, the $U$-perceptron, and the bipartite Sherrington--Kirkpatrick model. Our main result is a Gaussian CLT for the free energy that holds both in
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