@article{cae0fcf089c64caabdb04a90d2b1bbd8,
title = "Asymptotic properties of one-layer artificial neural networks with sparse connectivity",
abstract = "A law of large numbers for the empirical distribution of parameters of a one-layer artificial neural network with sparse connectivity is derived for a simultaneously increasing number of both, neurons and training iterations of the stochastic gradient descent.",
keywords = "Artificial neural network, Law of large numbers, Random network, Sparse connectivity, Stochastic gradient descent, Weak convergence",
author = "Christian Hirsch and Matthias Neumann and Volker Schmidt",
note = "Publisher Copyright: {\textcopyright} 2022 Elsevier B.V.",
year = "2023",
month = feb,
doi = "10.1016/j.spl.2022.109698",
language = "English",
volume = "193",
journal = "Statistics & Probability Letters",
issn = "0167-7152",
publisher = "Elsevier BV * North-Holland",
}