Path integral approach to random neural networks
نویسندگان
چکیده
منابع مشابه
A Random Matrix Approach to Neural Networks
R n×p is a matrix of independent zero-mean unit variance entries, and σ : R → R is a Lipschitz continuous (activation) function — σ(WX) being understood entry-wise. We prove that, as n, p, T grow large at the same rate, the resolvent Q = (G + γIT ) , for γ > 0, has a similar behavior as that met in sample covariance matrix models, involving notably the moment Φ = T n E[G], which provides in pas...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2018
ISSN: 2470-0045,2470-0053
DOI: 10.1103/physreve.98.062120