Asymptotic properties of one-layer artificial neural networks with sparse connectivity

Christian Hirsch, Matthias Neumann and Volker Schmidt

Statistics & Probability Letters, 2023, vol. 193, issue C

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 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1016/j.spl.2022.109698

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