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math.ST2022★ 1 cited
Local Identifiability of Deep ReLU Neural Networks: the Theory
Joachim Bona-Pellissier, François Malgouyres, François Bachoc
Is a sample rich enough to determine, at least locally, the parameters of a neural network? To answer this question, we introduce a new local parameterization of a given deep ReLU…
cs.LG2022
A general approximation lower bound in norm, with applications to feed-forward neural networks
El Mehdi Achour, Armand Foucault, Sébastien Gerchinovitz +1
We study the fundamental limits to the expressive power of neural networks. Given two sets , of real-valued functions, we first prove a general lower bound on how well funct…