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

Christian Hirsch; Matthias Neumann; Volker Schmidt

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arXiv · 2112.00732

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

Christian Hirsch·Matthias Neumann·Volker Schmidt

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Abstract

A law of large numbers for the empirical distribution of parameters of a one-layer artificial neural networks with sparse connectivity is derived for a simultaneously increasing number of both, neurons and training iterations of the stochastic gradient descent.

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Christian Hirsch, Matthias Neumann, Volker Schmidt. 2021-12-01. Asymptotic properties of one-layer artificial neural networks with sparse connectivity. https://arxiv.org/abs/2112.00732

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